Members of a high school sports team are selling boxes of popcorn and boxes of pretzels for a fundraiser. They earn $2 for every box of popcorn they sell and $5 for every box of pretzels. The members want to earn at least $500 from all sales. Let x represent the numbers of boxes of popcorn and let y represent the number of boxes of pretzels sold

Answers

Answer 1

Answer:

The solution in the attached figure

Step-by-step explanation:

Let

x------> the numbers of boxes of popcorn sold

y-----> the number of boxes of pretzels sold

we know that

[tex]2x+5y\geq 500[/tex] ----> inequality that represent the situation

using a graphing tool

The solution is the shaded area above the solid line [tex]2x+5y=500[/tex] between the positive values of x and the positive values of y

see the attached figure

Members Of A High School Sports Team Are Selling Boxes Of Popcorn And Boxes Of Pretzels For A Fundraiser.
Answer 2

We aim to earn $500+, selling popcorn at $2/box and pretzels at $5/box. Equation: [tex]\( y \geq \frac{500 - 2x}{5} \)[/tex], where ( x ) is the number of popcorn boxes.

let's break down the problem step by step:

1. Let's define our variables:

  - ( x ): Number of boxes of popcorn sold

  - ( y ): Number of boxes of pretzels sold

2. We are given the following information:

  - The team earns $2 for every box of popcorn sold.

  - The team earns $5 for every box of pretzels sold.

  - The team wants to earn at least $500 from all sales.

3. We can express the total earnings from selling popcorn and pretzels using the given information:

  - Total earnings from popcorn sales: ( 2x )

  - Total earnings from pretzel sales: ( 5y )

4. Since the team wants to earn at least $500, we can write this as an inequality:

[tex]\[ 2x + 5y \geq 500 \][/tex]

Now, let's solve this inequality for \( y \):

[tex]\[ 2x + 5y \geq 500 \][/tex]

[tex]\[ 5y \geq 500 - 2x \][/tex]

[tex]\[ y \geq \frac{500 - 2x}{5} \][/tex]

So, the number of boxes of pretzels sold, ( y ), should be greater than or equal to[tex]\( \frac{500 - 2x}{5} \).[/tex]

Now, let's plot this inequality on a graph.

- Choose a few values of ( x ) and find the corresponding values of ( y ) using the inequality.

- Plot these points on the graph.

- Draw a line that passes through these points, and it should be a solid line because of the "greater than or equal to" sign.

- Shade the area above the line because ( y ) should be greater than or equal to[tex]\( \frac{500 - 2x}{5} \).[/tex]

Let's choose a few values of ( x ) to plot:

1. When ( x = 0):

[tex]\( y = \frac{500 - 2(0)}{5} = \frac{500}{5} = 100 \)[/tex]

2. When ( x = 100 ):

 [tex]\( y = \frac{500 - 2(100)}{5} = \frac{500 - 200}{5} = \frac{300}{5} = 60 \)[/tex]

3. When ( x = 200 ):

[tex]\( y = \frac{500 - 2(200)}{5} = \frac{500 - 400}{5} = \frac{100}{5} = 20 \)[/tex]


Related Questions

Please help! The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.

Answers

Answer:

perimeter = (18 +9π) cm

area = (81 -20.25π) cm^2

Step-by-step explanation:

The perimeter of the shaded area is the circumference of the circle added to two sides of the square. The circumference of the circle is π times the diameter, so the perimeter is ...

p = 2(9 cm) + π(9 cm) = (18 +9π) cm

___

The area of the shaded portion is the difference between the area of the square and the area of the circle. The area of the square is the square of the diameter. The area of the circle is π/4 times that value.

A = (9 cm^2) + (π/4)(9 cm^2) = (81 +20.25π) cm^2

_____

Comment on circle area

The formula you often see is ...

A = πr^2 . . . . r is the radius

since r = d/2, where d is the diameter, this can also be written as ...

A = π(d/2)^2 = (π/4)d^2

Here, the diameter of the circle is the same as the side length of its enclosing square, so the area of the circle is π/4 times the area of the enclosing square.

Answer:

Area= [tex]81-\frac{81}{4}\pi[/tex]

Perimeter= [tex]9\pi +18[/tex]

The coordinates A(0,0), B(0,3), C(4,3) and D(4,0) are graphed and connected together. What 3 dimensional shape will be created when this shape is rotated about the y-axis?

Answers

a cube would be formed as ABCD form a square when graphed

Please hurry I will mark brainliest and 20 points

simplify sqrt0.08^12

a.(0.08)^6
b.(0.8)^6
c.(0.16)^6
d.(0.12)^8

Answers

Answer:

a) (0.08)^6

Step-by-step explanation:

Given in the question,

[tex]\sqrt{0.08^{12} }[/tex]

As we know that

[tex]\sqrt{x} = x^{1/2}[/tex]

So,

[tex]\sqrt{0.08^{12}[/tex] = [tex]0.08^{12(1/2)}[/tex]

[tex]0.08^{12/2}[/tex]

[tex]0.08^{6}[/tex]

Which are the maximum values ? I will add a picture please help

Answers

Answer:

58 at the point (9,8)

7 at the point (1, 1)

Step-by-step explanation:

The maximum points will be found in the vertices of the region.

Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.

The vertices found are:

(1, 10)

(1, 1)

(9, 5)

(9, 8)

We look for the values of x and y belonging to the region, which maximize the objective function [tex]f(x, y) = 2x + 5y[/tex]. Therefore we look for the vertices with the values of x and y higher.

(1, 10), (9, 5), (9, 8)

Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)

[tex]f(1, 10) = 2(1) + 5(10) = 52\\\\f(9, 5) = 2(9) + 5(5) = 43\\\\f(9, 8) = 2(9) + 5(8) = 58[/tex]

The point that maximizes the function is:

[tex](9, 8)[/tex] with [tex]f(9, 8) = 58[/tex]

Then the value that produces the minimum of f(x, y) is (1, 1)

[tex]f(1, 1) = 2(1) + 5(1) = 7[/tex]

which of the following could be side lenths of a right triangle? A.) 0.9cm, 1.2cm, 1.5cm B.) 0.9cm, 1.5 cm, 1.5cm C.) 0.9 cm, 1.2cm, 1.8cm D.) 0.9cm, 0.6cm, 1.5cm​

Answers

Answer:

The answer A

Step-by-step explanation:

B: You need a side that is longer than 2 equal sides. B is incorrect.

A: Try

9^2 + 12^2 = 15^2 if that works, A will work.

81 + 144 = 225

This works. I used these numbers because they were easier to see.

0.9^2 + 1.2^2 = 1.5^2

0.81 + 1.44 = 2.25

2.25 = 2.25

That is the answer A

But we have to check the  other two.

C:

0.9^2 = 0.81

1.2^2 = 1.44

1.8^2 = 3.24   This won't work. 3.24 is just too big.

D:

0.9^2 = 0.81

0.6^2 = 0.36

1.5^2 = 2.25   It's too far away.

In a function, each x-value has ________ y-value.

Answers

Explanation:

In a function, each x-value has one y-value.

___

That is the definition of a relation that is a function.

Final answer:

Each x-value in a function has exactly one corresponding y-value. Functions map elements of the domain to unique elements in the range, which can be represented graphically and must pass the vertical line test. The derivative in calculus, such as dy/dx, reflects the rate of change between these variables.

Explanation:

In a function, each x-value has one corresponding y-value. This is a foundational concept in mathematics that defines a relationship whereby each input (or x-value) in the function produces exactly one output (or y-value). Essentially, a function maps each element of the domain to exactly one element in the range.

An example of a function is y = f(x), which could represent a linear function like y = 3x + 2. In this case, for every x-value, there is a specific y-value determined by the function's formula. So if x were 1, then y = 3(1) + 2 = 5. The graphical representation of a function, such as its curve or line on a coordinate plane, must pass the vertical line test. That means if you draw a vertical line through any point on the graph, it should intersect the graph at no more than one point, confirming that each x-value has only one y-value.

Understanding functions is pivotal in different areas of mathematics, including calculus where the derivative of a function represents the rate of change of the y-value with respect to the x-value. In the case of the linear function y = 6+3x, the derivative dy/dx is constant at 3, implying that for every unit increase in x, y will increase by 3 units.

This rectangular tank is filled with water to a height of 4 centimeters. How much more water is needed to fill the tank completely? the width is 18 cm,length 12 cm,and height 6 cm.

Answers

so calculate the Volume of the water that is already in the tank

so l x w x h

4 x 18 x 12

=864cm^3 is in the tank

find the total volume of the tank:

6 x 18 x 12

=1296cm^3

and subtract the current from the total to find what you need:

1296cm^3 - 864cm^3

= 432 cm^3

you can also find how much you need by using the remaining 2cm from the height (6-4=2) and use the volume formula with 2 substituted as the height and you’ll get the same answer

The amount of water needed to fill the tank is 432 cm³.

What is Volume?

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume of cuboid = lwh

The tank is filled with water to a height of 4 centimeters.

The dimension of the tank is width is 18 cm, length is 12 cm, and height 6 cm.

So, the Volume of water present in the tank

= l x w x h

= 4 x 18 x 12

= 864 cm³

Now, the total Volume of tank

= 6 x 18 x 12

= 1296 cm³

So, the amount of water needed to fill the tank

= 1296 - 864

= 432 cm³

Learn more about Volume here:

https://brainly.com/question/13338592

#SPJ3

Find the vertex of the given function. f(x) = |x + 1| - 7

Answers

Vertex is at (-1,-7), because the |x+1| moves the graph left 1 and -7 moves the graph down 7.

Answer:

the second answer is a

Step-by-step explanation:

edge 2020

The difference between simple and compound interest in a savings account is that ______________.

Answers

Answer:

The difference is that the simple interest gives you interest only on the deposited amount in the account while the compound interest is calculated over the deposited amount and the previous interest amount added to the deposited amount.

Step-by-step explanation:

Final answer:

The difference between simple and compound interest is that simple interest is calculated only on the principal amount, while compound interest is earned on past interest.

Explanation:

The difference between simple and compound interest in a savings account is that simple interest is an interest rate calculation only on the principal amount, while compound interest is interest that is earned on past interest. This means that with compound interest, the total amount of savings will grow dramatically over time. To illustrate this, consider the example of putting $1,000 in a savings account with 10% interest. With simple interest, after one year, you will have $1,100. But with compound interest, if you leave the $1,100 in the account and continue to earn 10% interest, you will have $1,210 at the end of year two.

Can someone help me...

Answers

Answer:

48.3 cm^2

Step-by-step explanation:

The area of the enclosing square is that of a square 15 cm on a side, so is ...

square area = (15 cm)^2 = 225 cm^2

The white area is that of a quarter-circle of radius 15 cm, so that area is ...

quarter-circle area = (1/4)πr^2 = (π/4)·(15 cm)^2 = 56.25π cm^2 ≈ 176.7 cm^2

Then the yellow area is the difference ...

yellow area = square area - quarter-circle area

= (225 cm^2) - (176.7 cm^2)

yellow area = 48.3 cm^2

Find the area between 1.10 and 1.60 standard deviation above the mean.

Answers

Answer:

about 0.08087

Step-by-step explanation:

The statistics functions of your graphing calclulator can help you with that. It is a good idea to learn to use them.

Question 3: A car travels 1 6 of the distance between two cities in 3 5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?

Answers

Answer:

5/18

Step-by-step explanation:

The desired fraction can be found by dividing the fraction of distance by the fraction of hours:

(1/6 distance)/(3/5 hour) = (1/6·5/3) distance/hour = 5/18 distance/hour

Then 5/18 of the distance can be covered in one hour.

Answer:

5/18

Step-by-step explanation:

marcia is placing a fence around the circular flower bed in her garden. the diameter of the flower bed is 3 feet. how much fencing should marcia use? Use 3.14 for \pi. Round to the nearest tenth if necessary.

Answers

Answer:

  9.4 ft

Step-by-step explanation:

The formula for the circumference of a circle is ...

  C = πd . . . . . where d represents the diameter

Putting your numbers into this equation gives ...

  C = 3.14·(3 ft) = 9.42 ft

Rounding as required gives the length of fence as 9.4 ft.

Final answer:

To find the length of fencing needed for a circular flower bed, use the formula C = π * d, where C is the circumference and d is the diameter of the circle.

Explanation:

To find the length of fencing needed to go around a circular flower bed, we need to calculate the circumference of the circle. The circumference can be found using the formula C = π * d, where π is approximately 3.14 and d is the diameter of the circle. In this case, the diameter of the flower bed is 3 feet, so the circumference is 3.14 * 3 = 9.42 feet.

Learn more about Circumference here:

https://brainly.com/question/28757341

#SPJ2

Adriana collects rainwater in a large barrel that weights 10 pounds. When there are 10 gallons of water in the barrel, the total weight of the barrel and the water is 93.4 pounds. When there are 20 gallons of water, the total weight is 176.8 pounds. Which equation and graph match this situation?

Answers

Answer:

A. y = 8.34x + 10

Step-by-step explanation:

The first choice is appropriate to the situation where y=10 when x=0 and where y increases by 83.4 when x increases by 10.

___

The equation of selection D is the same and is also appropriate, but the graph does not match the equation. The equations of the other choices are incorrect, as are the graphs.

The linear equation which represents the data is : y = 8.34x + c. Hence, correct option is A.

The linear equation for the graph can be expressed in the form :

y = bx + c b = slope ; c = intercept

b = change in y / change in x

Change in y :

176.8 - 93.4 = 83.4

Change in x :

20 - 10 = 10

Hence , slope , b = (83.4 /10) = 8.34

The value of the intercept, c ;

93.4 = 8.34(10) + c

93.4 = 83.4 + c

c = 10

Hence, the linear equation is :

y = 8.34x + 10

Learn more on linear equation : https://brainly.com/question/30884929

#SPJ2

An animal shelter spends $4.50 per day to care for each bird and $6.50 per day to care for each cat. Kaylee noticed that the shelter spent $96.00 caring for birds and cats on Thursday. Kaylee found a record showing that there were a total of 16 birds and cats on Thursday. How many birds were at the shelter on Thursday

Answers

Answer:

4

Step-by-step explanation:

Let b represent the number of birds. Then the cost of care for b birds and 16-b cats was ...

4.50b +6.50(16-b) = 96.00

-2.00b = -8.00 . . . . . . . . . . . . simplify, subtract 104

b = 4 . . . . . . . . . . . . . . . . . . . . .divide by -2

The number of birds at the shelter on Thursday was 4.

Consider the two way table.

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Find the total data in the first row:

90 + 30 = 120

Now divide each of these values by the total:

(30/120) = 0.25

(90/120) = 0.75

It would be 0.25 in the first box and 0.75 in the second.

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Answer:

Group1 .18

Group2 = .54

Step-by-step explanation:

To find the relative frequency, you divide the number by the total number

The total number is 30+90+14+32 = 166

Category 1 Group 1 has 30 in it

The relative frequency is 30/166 = .180722892 = .18

Category 1 Group 2 has 90 in it

The relative frequency is 90/166 =.542168675=.54

tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. What is the lenght of the edges of the cube? ​

Answers

Answer:

The length of the edge of the cube = 4 inches

Step-by-step explanation:

* Lets describe the cube

- It has 6 faces all of them are squares

- It has 8 vertices

- It has 12 equal edges

∵ The volume of any formal solid = area of the base × height

∵ The base of the cube is a square

∴ Area base = L × L = L² ⇒ L is the length of the edge of it

∵ All edges are equal in length

∴ Its height = L

∴ The volume of the cube = L² × L = L³

* Now we have the volume and we want to find the

 length of the edges

∵ Its volume = 64 inches³

∴ 64 = L³

* Take cube root to the both sides

∴ ∛64 = ∛(L³)

∴ L = 4 inches

* The length of the edge of the cube = 4 inches

The length of the edges of the cube is 4 inches.

Given that the volume V  is 64 cubic inches, we can set up the equation:

[tex]\[ a^3 = 64 \][/tex]

To solve for a , we take the cube root of both sides:

[tex]\[ a = \sqrt[3]{64} \][/tex]

The cube root of 64 is 4, since [tex]\( 4^3 = 4 \times 4 \times 4 = 64 \).[/tex]

Therefore, the length of the edges of the cube is 4 inches.

I need help on this problem. I don’t understand it at all. Please help me.

Answers

When dealing with numbers, we find the LCM by factoring the numbers, and then choosing all the primes appearing, with the highest exponent possible.

Similarly, we will factor the polynomials first:

[tex] x^4+3x^3 = x^3(x+3)[/tex]

[tex]x^2-9 = (x+3)(x-3)[/tex]

[tex]x^3+6x^2+9x = x(x^2+6x+9) = x(x+3)^2[/tex]

The following factors emerged:

[tex]x,\ x^3[/tex] We will choose [tex]x^3[/tex] because it has the higher exponent[tex]x-3[/tex][tex]x+3,\ (x+3)^2[/tex] We will choose [tex](x+3)^2[/tex] because it has the higher exponent.

So, the LCM is

[tex]x^3(x-3)(x+3)^2[/tex]

write the equation 2x-3y=6in slope -intercept form​

Answers

Answer:

y = 2/3 x -2

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

We need to solve for y

2x-3y = 6

Subtract 2x from each side

2x-2x-3y=-2x+6

-3y = -2x+6

Divide  by -3

-3y/-3 = -2/-3x+6 /-3

y = 2/3 x -2

The slope is 2/3 and the y intercept is -2

Please help ASAP

(k+5)(k−5)=k^2 −25

Eleanor says that k+5 is a factor of k^2-25
Isabel says that k^2 -25 is divisible by k+5
Who is correct?

Answers

Answer:

both are

Step-by-step explanation:

A number, or a polynomial, is "divisible" by a "factor." Since (k+5) is a factor of (k^2-25), (k^2-25) is divisible by (k+5). Both Eleanor and Isabel are correct in their description.

which is the best first step and explanation for solving this system of equations?

2x + 3y = 7
2x = 4y - 5

A ) subtract the second equation from the first equation
B ) add the two equations to one another
C ) Multiply both sides of the first equation by 3
D ) Subtract an equal amount from both sides of the first equation ​

Answers

Answer:

A ) subtract the second equation from the first equation

Step-by-step explanation:

2x + 3y = 7

2x - 4y = -5

subtracting the second equation from the first equation we get,

7y = 12

y=12/7

This is the correct option

Answer:

A ) subtract the second equation from the first equation

Step-by-step explanation:

Let's consider the following system of equations.

2x + 3y = 7

2x = 4y - 5

If we subtract the second equation from the first equation, we get:

2x + 3y - 2x = 7 - (4y - 5)

3y = 7 - 4y + 5

7y = 12

y = 12/7

Then, we can use any of the original equations and solve for x.

2x = 4y - 5

2x = 4(12/7) - 5

x = 13/14

help please, anyone thank you

Answers

Answer:

Part A:  A (6 , 11) , B (5 , 6) , C (7 , 1) , D (0 , 8)

Part B:  A (-6 , -11) , B (-5 , -6) , C (-7 , -1) , D (0 , -8)

Step-by-step explanation:

* Lets study the reflection about the two axes X and Y

- The distance between the point and the axes of reflection =

 the distance between its image and the axes

- The point and the its image are on opposite sides of the axes

- If a point (x , y) reflected about x axis, that means the point

  will move vertically

- Moving vertically means we will change the sign of the y-coordinates

∴ The image of (x , y) after reflection about x-axis is (x , -y)

- If a point (x , y) reflected about y axis, that means the point

  will move horizontally

- Moving horizontally means we will change the sign of the x-coordinates

∴ The image of (x , y) after reflection about x-axis is (-x , y)

* Now lets use the explanation above to solve our problem

- At first lets right the original point of the quadrilateral ABCD

∵ A (-6 , 11) , B (-5 , 6) , C (-7 , 1) , D (0 , 8)

Part A: The y-axis is the line of reflection

- Lets change the signs of x-coordinates in all points

∴ The new points after reflection about y-axis is:

  A (6 , 11) , B (5 , 6) , C (7 , 1) , D (0 , 8)

- Note: The point D does not change because x-coordinate is 0

            and there is no sign for the 0

Part B: The x-axis is the line of reflection

- Lets change the signs of y-coordinates in all points

∴ The new points after reflection about x-axis is:

  A (-6 , -11) , B (-5 , -6) , C (-7 , -1) , D (0 , -8)

An equal number of students from two Algebra 1 classes at Bozeman School were randomly selected and asked how many hours per week they spend studying algebra.

The class with the largest median for hours spent studying is
-Mrs. Castro’s class
-Mr. Philippe’s class
-The medians are the same

The class with the largest range of hours spent studying is
-Mrs. Castro’s class
-Mr. Philippe’s class
-The ranges are the same

The class with the largest IQR for hours spent studying is
-Mrs. Castro’s class
-Mr. Philippe’s class
-The IQRs are the same

Answers

Answer:

Largest Median: Same

Largest Range: Castro

Largest IQR: Castro

Step-by-step explanation:

With a box-and-whisker plot, the box represents the upper and lower quartiles, the vertical line inside the box represents the median, and the lines on either side of the box show the high and low of the range.

Largest Median: Medians are the same because the verticle line inside the boxes is at 7 for both

Largest Range: Ms Castro's Class- the lines on either side of the box for Ms Castro go from 1-10 while the other class only goes from 4-10.

Largest IQR (interquartile range) Ms. Castro's class: their IQR goes from 5-8 while the other class only goes from 6-8

Answer:

same median and CASTRO CASTRO just took the TYS on algebra nation

Step-by-step explanation:

micah has 10 more fish than cella has. together, micah and cella have 34 fish. how many fish does micah have

Answers

Answer:

22 fish

Step-by-step explanation:

cella has 12 fish. micheal has ten more 12+10=22. combind 22+12=34

Answer:

22 fish

Step-by-step explanation:

If $389 is invested @ 3.9% interest compounded monthly for 6 years what would be the total in the account?

Answers

Answer:

  $491.37

Step-by-step explanation:

The appropriate formula for the future value of a single investment is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested (389), r is the annual rate (0.039), n is the number of compoundings per year (12), and t is the number of years (6).

Putting the given numbers into the formula, you get ...

  A = 389·(1 +.039/12)^(12·6) = 389·1.00325^72 ≈ 491.37

The total in the account after 6 years will be $491.37.

Find the angles of the rhombus if the ratio of the angles formed by the diagonals and the sides is 4:5.




pls help i need help asap and btw its not 40 degrees and 50 degrees.

Answers

Answer:

The acute angles of the rhombus are 80°; the obtuse angles are 100°.

Step-by-step explanation:

Since each diagonal bisects the angle of the rhombus, the given conditions are the same as saying the angles of the rhombus are in the ratio 4:5. Adjacent angles add to 180°, and the sum of the ratio units is 4+5=9. So each ratio unit stands for 180°/9=20° of angle, and the angles are ...

80° : 100°

The angles of the rhombus are 80° and 100°.

which number is an irrational number​

Answers

I’m pretty sure it’s A

Answer: A

Step-by-step explanation:

Create a second equation so the system has no solution. y=3/4x-4

Answers

Answer:

y=3/4 *x

Step-by-step explanation:

1. the given equation is the equation of line in slope-interception form (y=kx+b), where 3/4 is 'k' and (-4) is 'b'.

2. if the system of the two equations has no solution, it means, the 2d line is parallel to the given one, then 'k' of the 2d line is the same value.

3. common view of the equation of the 2d line is y=3/4 *x+b, where 'b' is number. For example, y=3/4x; y=3/4 *x+1; y=3/4 *x-5/8, etc.

One example of a linear function that generates a system without a solution is given by:

[tex]y = \frac{3}{4}x + 5[/tex]

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

If two equations have the same slope but different intercepts, they never  intersect each other, that is, a system without solutions is generated. Hence, one possible example in this problem is given by:

[tex]y = \frac{3}{4}x + 5[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ2

Abdul's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Abdul's tank hold?

Answers

Answer: 14 gallons

Step-by-step explanation:

Let's call the total gallons of gas Abdul's tank can hold x.

Then, based on the information given in the problem, you can write the following expression:

[tex]\frac{1}{5}x+7=\frac{7}{10}x[/tex]

Therefore, when you solve for x, you obtain the following result:

[tex]\frac{1}{5}x+7=\frac{7}{10}x\\\\\frac{1}{5}x-\frac{7}{10}x=-7\\\\-\frac{1}{2}x=-7\\\\-x=(-7)(2)\\x=14[/tex]

Write 765,056 in word form

Answers

Seven thousand sixty-five fifty six

Answer:

seven hundred sixty-five thousand fifty-six

Step-by-step explanation:

Your Welcome

Other Questions
A right triangle has coordinates A(6, 0), B(0, 0), and C(0, 8). What is the perimeter of the triangle? A. 18 units B. 20 units C. 24 units D. 28 units How Find the solution set of the inequality4x+35>2 Suppose you buy an appliance costing $2450 at a store charging 9% add-on interest, you make a down payment of $ 600, and you agree to monthly payments over 4 years. Find the total cost for the appliance plus interest. How do I do this can anyone help I NEED HELP PLEASE!!if Q=2.1R+5 find Q when R=5 Some elements have a low degree of freedom and high intermolecular forces between its molecules. These elements are ________ at room temperature. 2pt 4 fl oz, 5 cups 39fl oz. What is the greatest amount of paint? Which food is at a temperature that allows bacteria to grow well? Why is there no rock record of the Hadean period?A. Rocks only formed near subduction zones during this period.B. The lack of ozone prevented rock formation.C. Earth's temperature was too high for solid rocks to form.D. Only metamorphic rocks formed during that period. PLEASE HELP!Read this sentence from the main text:All of this new information should make us think twice about things like antibacterial soap, which gets into our water supply.What purpose does this sentence serve in the closing paragraph? To argue that we kill too many beneficial bacteria To create concern about the water supply To introduce a new topic that needs scientific study To suggest the new science of microbes may affect many things Brutus to the citizens of the state of New York Use factoring and the zero-product property to solve the following problems. If you receive a letter from the division of driver licensing requesting an interview regarding having too many points on your driving record, you must appear at the date and time specified in the letter or your driving privilege will be suspended for a period of what is equivalent to (5x-6) (2x+3) ?a. (5x-6) (2x) + (5x -6) (3)b. (5x-6) (2x) - (5x-6) (3)c. (5x) (2x) + (6) (3)d. (5x-6) (2x) + (-6)(3) What might cause a change in the value of fiat money?a change in the value of commoditiesa change in government regulationsa change in materials used to make moneya change in individuals spending habitsANSWER - B) a change in government regulations Simplify.38346824864 The critical path on a project can change as the project progresses. select one:a. trueb. false A(n)_______ is malware that arrives in a trojan, disguised as legitimate software, and then sets up a(n) that provides unauthorized access to a victim's device. Find a linear equation in your life? The coordinates of 3 of the vertices of a parallelogram are (7, 3), (6, 1), and (4, 5). What is the equation for the line containing the side opposite the side containing the first two vertices? (Remember, opposite sides of a parallelogram are parallel.) Steam Workshop Downloader