Find the percent of increase from 12 to 18

Answer:19/34

Step-by-step explanation:

The x - intercept is (9, 0) and y - intercept is (0, -6)

Solution:

Given that the equation is: 2x - 3y = 18

We have to find the x and y intercepts of the equation

The x-intercept is the point at which the line crosses the x-axis. At this point, the y-coordinate is zero.

The y-intercept is the point at which the line crosses the y-axis. At this point, the x-coordinate is zero.

Finding x - intercept:

Substitute y = 0 in given equation

2x - 3y = 18

2x - 3(0) = 18

2x = 18

x = 9

Thus the x - intercept is (9, 0)

Finding y - intercept:

Substitute x = 0 in given equation

2(0) - 3y = 18

-3y = 18

y = -6

Thus the y-intercept is (0, -6)

Answer:

d = 1.2 + 2.3t

Step-by-step explanation:

A backpacker parked his car and hiked a distance of 1.2 km on the first day. On the second day, he continued hiking away from his car with an average speed of 2.3 km/hr.

Now, on the second day he started from distance 1.2 km from his car and continues to hike with an average speed of 2.3 km/hr.

Therefore, the distance of the backpacker from his car on the second day is given by  

d = 1.2 + 2.3t

where d is the distance in km and t is the time in hours he hiked. (Answer)

Answer:

I THINK IT IS OB

HOPE IT HELPS!

Answer:

B

Step-by-step explanation:

Answer:

Charlie could gather 30 pieces of fruit.

Fetching Information:

As Charlie has gathered apples pears and plums, and the number of apples and plums are 10 partners, and also there are same number of apples and pears.

What to Determine?

How many pieces of fruit could Charlie determine?

Solution:

Let 'a' be the number of apples, 'b' be the number of plums, and 'c' be the number of pears.

As the number of plums and apples is same i.e both are 10 in numbers.

So, a = b = 10

Note that number of pears and apples is also same. So, the the total number of pears will be 10.

So, c = 10

Total number of pieces of fruit = number of apples + number of plums + number of pears

Hence,

            Total number of pieces of fruit = a + b + c

                                                                 = 10 + 10 + 10

                                                                  = 30

Thus, Charlie could gather 30 pieces of fruit.

Keywords: number, total

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Answer:

(6,0)

Step-by-step explanation:

The given system has equations:

[tex]x-4y=6[/tex]

[tex]2x+2y=12[/tex]

Multiply the top equation by 2 to get:

[tex]2x-8y=12[/tex]

[tex]2x+2y=12[/tex]

Subtract the top equation form the bottom equation to get:

[tex]2x-2x+2y--8y=12-12[/tex]

[tex]\implies 10y=0[/tex]

[tex]\implies y=0[/tex]

Put y=0 into [tex]x-4y=6[/tex]

[tex]x-4*0=6[/tex]

[tex]\implies x=6[/tex]

Therefore the solution is (6,0)

Your Answer Is:

C: (6,0)

Answer:

[tex]y=-2x-2[/tex]

Step-by-step explanation:

we have

[tex]y=-2x+5[/tex]

This is the equation of a line in slope intercept form

where

[tex]m=-2[/tex] ---> the slope

[tex]b=5[/tex] ----> the y-intercept

we know that

If the given line was shifted down 7 units, then the new y-intercept is equal to

[tex]b=5-7=-2[/tex]

The slope of the new line will be the same that the original line, because are parallel lines

so

The new equation is

[tex]y=-2x-2[/tex]

Answer:

Part 1) [tex]A=126.87^o[/tex]

Part 2) [tex]tan(A)=-\frac{4}{3}[/tex]

Step-by-step explanation:

we have

[tex]cos(A)=-0.6[/tex]

The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive

The angle A lie on the II Quadrant

step 1

Find the measure of angle A

[tex]cos(A)=-0.6[/tex]

using a calculator

[tex]A=cos^{-1}(-0.6)=126.87^o[/tex]

step 2

Find the sin(A)

we know that

[tex]sin^2(A)+cos^2(A)=1[/tex]

substitute the value of cos(A)

[tex]sin^2(A)+(-0.6)^2=1[/tex]

[tex]sin^2(A)=1-0.36[/tex]

[tex]sin^2(A)=0.64[/tex]

[tex]sin(A)=0.8[/tex]

step 3

Find tan(A)

we know that

[tex]tan(A)=\frac{sin(A)}{cos(A)}[/tex]

substitute the values

[tex]tan(A)=\frac{0.8}{-0.6}[/tex]

Simplify

[tex]tan(A)=-\frac{4}{3}[/tex]

Answer:

1.  x > 4

2.  m < 2

3.  x > 2

4.  x < -6

Step-by-step explanation:

These 4 inequalities will be solved the same way we solve equations. We take variables to one side and numbers to another and use algebra to solve. Each of them are solved shown below:

1.

[tex]4+6x<x+6x\\4+6x<7x\\4<7x-6x\\4<x[/tex]

so x is greater than 4, we can write (variable first):

x > 4

2.

[tex]m+16>8m+2\\16-2>8m-m\\14>7m\\\frac{14}{7}>m\\2>m[/tex]

so m is less than 2, we can write:

m < 2

3.

[tex]5x-1>13-2x\\5x+2x>13+1\\7x>14\\x>\frac{14}{7}\\x>2[/tex]

so x is greater than 2, we can write:

x > 2

4.

[tex]-3x-2>-x+10\\-2-10>-x+3x\\-12>2x\\\frac{-12}{2}>x\\-6>x[/tex]

so x is less than -6, we can write:

x < -6

Answer:

Step-by-step explanation:

4/7 - (-4/7) = 4/7 + 4/7 = 8/7 or 1 1/7......a negative times a negative is a positive...so those two negatives turn into a positive...so ur basically just adding them

Answer:

8.83%

Step-by-step explanation:

Using compound interest formula

A = P ( 1+ r) ^t where A = amount = 530 × 36 = $ 19080, P = the amount of the loan = $ 14800, t = 36 / 12 = 3 years

substitute the values into the equation

19080 = 14800 (1 + r) ^3

19080 / 14800 = (1 + r) ^3  

1.2892 = (1 + r) ^3  

∛(1.2892) = 1 + r

1.0884 = 1 + r

r = 1.0884 - 1 = 0.0884 × 100 = 8.83%

Answer:

d 8,5%, the most probable, provided the error in the question is confirmed!!!

Step-by-step explanation:

Mason has an offer to buy an item with a sticker price of P= $14,800.

He is to pay $8530 a month for 36 months.

Total amount paid by Mason will be

$8530*36= $307,080

This will be very outrageous compared to the sticker price!!!

If we presume he is paying yearly 8530 for 36 months or 3 years.

Then total amount paid will be 8530*3 = $25590

Also very high in my opinion.

Perhaps the dollar sign was wrongly typed as '8' in the question and he pays only $530 monthly,

Then the total amount paid will be $19,080

This is quite reasonable.

If the interest rate is compounded for n (n=3, 36 months = 3 years)

years, thus

19080= ((P*(1+i)^n) , meaning

19080 =((14800(1+i)^3), which when evaluated yields

i=8.8%

Answer:

68

Step-by-step explanation:

P- parentheses

E- exponential

M- multiplication

D- division

A- addition

S- subtraction

2 x 36 = 72

72 - 24 ÷ 6

24 ÷ 6 = 4

72 - 4 = 68

Answer:

68

Step-by-step explanation:

*Remember the order of operations PEMDAS*(Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

hope it helps:)

Answer:

Step-by-step explanation:The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Answer:

Step-by-step explanation:

Sample Response: The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

For this case we must find the solution set of the given inequalities:

[tex]-15x + 4 <109[/tex]

We subtract 4 from both sides of the inequality:

[tex]-15x <109-4\\-15x <105[/tex]

We divide between 15 on both sides of the inequality:

[tex]-x <\frac {105} {15}\\-x <7[/tex]

We multiply by -1 on both sides taking into account that the sense of inequality changes:

[tex]x> -7[/tex]

The solution is given by all values of x greater than -7.

[tex]-6x + 70> -2[/tex]

Subtracting 70 from both sides of the inequality:

[tex]-6x> -2-70\\-6x> -72[/tex]

We divide by 6 on both sides of the inequality:

[tex]-x> - \frac {72} {6}\\-x> -12[/tex]

We multiply by -1 on both sides taking into account that the sense of inequality changes:

[tex]x <12[/tex]

Thus, the solution set is given by:

[tex]x> -7\ U\ x <12[/tex]

Therefore the solution is all real numbers.

Answer:

All real numbers.

Answer:

The first picture is a function while the second one is not.

Step-by-step explanation:

Reason - first picture passed the vertical line test, the other didn't.

The equation y2=3x+1 is a function.

Determine whether y2=3x+1 is a function

A function is a relation in which each input has exactly one output. To determine if the equation y2=3x+1 is a function, we need to check if each input value of x corresponds to exactly one output value of y.

In this case, the equation represents a quadratic curve, which passes the vertical line test, meaning that it is indeed a function.

For example, when x=1, we can substitute it into the equation as follows: y2 = 3(1) + 1 = 4.

Therefore, for every value of x, there is a unique value of y, indicating that the equation y2=3x+1 is a function.

Answer:

The correct answer is B. y = 5

Step-by-step explanation:

Let's recall that two are triangles are similar when its side lengths are proportional. That is in our case, if Δ ABC is similar to Δ DEF , then the following equation holds:  

EF/BC = DF/AC

Replacing with the real values:

6/12 = y/10

Cross multiplication:

12 * y = 10 * 6

12y = 60

y = 60/12

y = 5

The correct answer is B. y = 5

Answer:

required bank balance=$148

Step-by-step explanation:

simple interest=[tex](  \right )P\times R\times  T\left )\div 100[/tex]

where P=principle=$100

           R=rate of interest=4%

           T=time=12 year

simple interest=[tex](  \right )100\times 4\times  12\left )\div 100[/tex]

simple interest=[tex]\frac{4800}{100}[/tex]

simple interest=48

required bank balance=principle+simple interest

required bank balance=$100+$48=$148

required bank balance=$148

Final answer:

The area of a rectangular field that is 400 meters long and 350 meters wide is calculated by multiplying the length and width in meters to get square meters and then converting to square kilometers. The field's area is 0.14 square kilometers.

Explanation:

To calculate the area of a rectangular field, you multiply the length by the width. The area is usually given in square units.

In this case, the field is 400 meters long and 350 meters wide. To find the area in square meters, we do the following calculation:

Area = Length × Width

Area = 400 m × 350 m

Area = 140,000 m2

To convert square meters to square kilometers, you need to remember that 1 square kilometer equals 1,000,000 square meters. Therefore, you divide the area in square meters by 1,000,000 to get the area in square kilometers:

Area in square kilometers = Area in square meters / 1,000,000

Area in square kilometers = 140,000 m2 / 1,000,000

Area in square kilometers = 0.14 km2

The area of the field is 0.14 square kilometers.

To find the area of the rectangular field in square kilometers, the measurements of 400 meters and 350 meters must first be converted to kilometers, resulting in an area of 0.14 square kilometers.

To calculate the area of a rectangular field in square kilometers, we can use the formula for the area of a rectangle which is length × width. First, we need to convert the measurements into the same unit, so we will convert meters to kilometers. We know that 1 kilometer is equivalent to 1000 meters. Therefore, a field that is 400 meters long is 0.4 kilometers long (400 ÷ 1000 = 0.4 km), and a field that is 350 meters wide is 0.35 kilometers wide (350 ÷ 1000 = 0.35 km).

Now, with both measurements in kilometers, we can find the area:

Answer:

Marcelino will break even

Step-by-step explanation:

if he spends 45 dollars on profits, and sells each balloon for $1.50 then you multiply 30 balloons by 1.5 and that equals 45 dollars, so he will break even

Answer:

C

Step-by-step explanation:

Answer:

[tex]\frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x[/tex]

[tex]xy^{2} + \frac{2}{3}y - 8y^{2}z[/tex]

Step-by-step explanation:

We have to simplify the followings:  

1) [tex]- \frac{4}{5}x (- 2x + 4y - 5)[/tex]

= [tex]- \frac{4}{5}x \times (- 2x) +  - \frac{4}{5}x \times (4y) + - \frac{4}{5}x \times (- 5)[/tex]  

{By distributive property of multiplication}

= [tex]\frac{8}{5} x^{2}  - \frac{16}{5} xy + 4x[/tex] (Answer)

2) [tex]2y^{2}( \frac{1}{2} x + \frac{2}{6}y - 4z)[/tex]

= [tex]2y^{2} \times (\frac{1}{2} x) + 2y^{2} \times ( \frac{2}{6}y) - 2y^{2} \times (4z)[/tex]

{By distributive property of multiplication}

= [tex]xy^{2} + \frac{2}{3}y - 8y^{2}z[/tex] (Answer)

Answer:

Therefore the slope of the line shown on the graph is option  D)

[tex]-\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given:

Let the Two points on the line be

point A( x₁ , y₁) ≡ ( 0 , 0)  one as a Origin  

point B( x₂ , y₂) ≡ (-3, 2)  

To Find:

Slope AB = ?

Solution:

For a slope  we require two points i.e

[tex]Slope=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Substituting the given values we get

[tex]Slope(AB)=\frac{2-0}{-3-0}\\\\Slope(AB)=-\dfrac{2}{3}[/tex]

Therefore the slope of the line shown on the graph is option  D)

[tex]-\dfrac{2}{3}[/tex]

Answer:

1. 3/5                        c

2. 7                           c

3. 2/5                       b

4. $3.24                   c  

5. -3.2                      b

Step-by-step explanation:

1.

2/5 + 1/5  =    3/5

2.

a negative + a negative = a positive

2+5 = 7

3.

terminating means the decimal ends. When u divide a & c they keep on going but 2/5 ends

4.

divide 16.8 by 5.19 = 3.23 round up so 3.24

5.

multiply the two together to get the answer

Answer:

(2,0)

Step-by-step explanation:

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

we have

[tex]y > -3x+2[/tex]

Substitute the value of  x and the value of y of each point in the inequality and then compare the results

case a) (0, 2)

[tex]2 > -3(0)+2[/tex]

[tex]2 > 2[/tex] ----> is not true

so

the point not satisfy the inequality

therefore

The point is not a solution of the inequality

case b) (2,0)

[tex]0 > -3(2)+2[/tex]

[tex]0 > -4[/tex] ----> is true

so

the point satisfy the inequality

therefore

The point is a solution of the inequality

case c) (1, -2)

[tex]-2 > -3(1)+2[/tex]

[tex]-2 > -1[/tex] ----> is not true

so

the point not satisfy the inequality

therefore

The point is not a solution of the inequality

case d) (-2, 1)

[tex]1 > -3(-2)+2[/tex]

[tex]1 > 8[/tex] ----> is not true

so

the point not satisfy the inequality

therefore

The point is not a solution of the inequality

see the attached figure to better understand the problem

Answer:

(2,0)

Step-by-step explanation:

Answer:

linear equation in Standard form that can be used to determine how many of each prize Caleb can buy is [tex]1.25x+ 2.50y = 25[/tex]

Step-by-step explanation:

Given:

Total cost spent on prizes for games = $25

Cost of one lip balm = $1.25

Cost of one mini notebook  = $2.50

A) linear equation in STANDARD FORM that can be used to determine how many of each prize she can buy.

Let the number of lip balms be x and the number of mini note books be y. Then

[tex]1.25x+ 2.50y = 25[/tex]

B. Graph the equation using x- and y- intercepts.

Now by trial and error method

[tex]1.25(0)+ 2.50(10) = 25[/tex]

[tex]1.25(2)+ 2.50(9) = 25[/tex]

[tex]1.25(4)+ 2.50(8) = 25[/tex]

[tex]1.25(6)+ 2.50(7) = 25[/tex]

[tex]1.25(8)+ 2.50(6) = 25[/tex]

[tex]1.25(10)+ 2.50(5) = 25[/tex]

[tex]1.25(12)+ 2.50(4) = 25[/tex]

[tex]1.25(14)+ 2.50(3) = 25[/tex]

[tex]1.25(16)+ 2.50(2) = 25[/tex]

[tex]1.25(18)+ 2.50(1) = 25[/tex]

[tex]1.25(20)+ 2.50(0) = 25[/tex]

Thus Caleb can buy 0,2,4,6,8,9,10,12,14,1,6,18,20 lip balms and

0,1,2,3,4,5,6,7,8,9,10 mini note books respectively

Now plotting these value in the graph, we get the below graph

Answer:

$8

Step-by-step explanation:

Here is the correct question: Mike bought 20 stamps for 0.40 each and 15 Century 0.32 each how much money did Mike spend on stamp​.

Given: cost of each stamp is 0.40

           Total stamp bought is 20.

Using unitary method

Cost of 1 stamp is 0.40.

∴ cost of 20 stamp is =[tex]20\ stamp \times 0.40= 8[/tex]

Cost of 20 stamp is $8

∴ Total money spent by Mike on buying 20 stamp is $8.

Answer:

Never

Step-by-step explanation:

we know that

A system of linear equations with the same slope and the same y-intercept has infinite solutions (identical lines)

A system of linear equations with the same slope and different y-intercept has no solutions (parallel lines)

A system of linear equations with different slopes and different y-intercept has only one solution  

Answer:

The equation of the line is [tex]y=-8[/tex]

Step-by-step explanation:

we know that

The equation of the line [tex]y=9[/tex] is a horizontal line (parallel to the x-axis)

The equation of a horizontal line is equal to the y-coordinate of the point that passes through it

In this problem, the line passes through the point (3,-8)

The y-coordinate is -8

therefore

The equation of the line is [tex]y=-8[/tex]

Answer:

No.

Explanation:

The term linear function refers to two distinct but related notions. This is just one point.

Answer:

5 guests

Step-by-step explanation:

10 slices per cake

half of that is 5 slices

1 slice = 1 guest