Which statement about the equation is true? 3y – 1 = 13 – 4y The equation has one solution. The equation has no solution. The equation has a few solutions. The equation has many solutions.

Answers

Answer 1

Answer:

  The equation has one solution

Step-by-step explanation:

Add 4y +1 and divide by 7.

  3y -1 = 13 -4y

  7y = 14

  y = 2

There is one solution.

Answer 2

Answer:

equal to 2

Step-by-step explanation:


Related Questions

Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus a 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earning a base salary of 85$ per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?

Answers

Define the two friends as person A and person B.

Let x =  the sales in a week.

Person A:
$125 per week plus 18% commission on sales.
Earnings in a week on x sales is
125 + 0.18x

Person B:
$85 per week plus 21% commission on sales.
Earnings in a week on x sales is
85 + 0.21x

For the two earnings to be equal,
85 + 0.21x = 125 + 0.18x
0.03x = 40
x = 40/0.03 = $1333.33

Answer: $1,333.33

What is (5,9) reflectes across the Y and X axis

Answers

(5, 9) reflected across the y axis is (5, -9)

(5, 9) reflected across the x axis is (-5, 9)

I hope this helps. (:

The reflection of points across Y and X axis will be equal to (-5, 9), (5, -9).

What is reflection of points?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image.

A line, called the line of reflection, will allow an image to reflect through it. Every element inside a figure is thought to reflect another figure when they are all equally spaced apart from one another.

As per the mentioned data in the question,

The given point is (5, 9).

Under the reflection in the y-axis, points are converted as,

(x, y) ⇒ (-x, y)

So,

(5, 9) ⇒ (-5, 9)

Under the reflection in the x-axis, points are converted as,

(x, y) ⇒ (x, -y)

So,

(5, 9) ⇒ (5, -9)

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A website-hosting service charges businesses a onetime setup fee of $275 plus d dollars for each month. If a business owner paid $1,091 for the first 12 months, including the setup fee, what is the value of d? a. Create an equation to represent this situation.

b.Solve your equation above to find the value of d. Show all work to receive full credit

Answers

(a) The total amount that is to be paid by the company is equal to the setup fee and the total fee collected for each month. The equation that can be used in order to determine the answer is,
      S = 275 + dx

where S is the total amount paid, d is the monthly fee and x is the number of months. Substituting the known values from the given,
    1091 = 275 + d(12)

or,   1091 = 12d + 275

(b) To determine the value of d, follow the steps given below,
    Substract 275 in each side of the equation,
    1091 - 275 = 12d + 275 - 275

Simplifying,
     816 = 12d 

    Divide both sides of the equation by 12,
      816/12 = 12d/12

Simplifying,
   68 = d
  
  or d = 68

Hence, d = 68

compare & contrast the graphs of y = 5x+9 and y - 5x=3

Answers

they both run diagonally (compare)...
the y = 5x+9 is moved 6 points to the left

hope it works

Final answer:

The equations y = 5x + 9 and y - 5x = 3 have the same slope of 5, indicating that their graphs are parallel lines. The difference lies in their y-intercepts; the first line crosses the y-axis at 9 and the second at 3, meaning they are parallel but at different vertical positions.

Explanation:

To compare and contrast the graphs of y = 5x + 9 and y - 5x = 3, we first need to rewrite the equations in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The first equation is already in this form, with a slope of 5 and a y-intercept of 9. We can rearrange the second equation by adding 5x to both sides to get y = 5x + 3, which has a slope of 5 and a y-intercept of 3.

Both lines have the same slope of 5, which means they are parallel and will never intersect. The difference between them is their y-intercepts; the first line intersects the y-axis at 9, whereas the second line intersects the y-axis at 3. This difference in y-intercepts means that while they have the same steepness and direction, they are located at different vertical positions on the coordinate plane.

Match the following unit volumes with the most appropriate converted unit volume:

1.    2.64 gallons ......             3 liters
2.   0.14 cubic meters .....     5 cubic feet
3.   5.35 cubic meters .......   7 cubic yards
4.   6.34 pints......                   10 liters

Answers

2.64 gal-10 liters
0.14 cubic meters -5 cubic feet
5.35 cubic meters- 7 cubic yards
6.34 pints=3 liters

The correct match is given below:-

2.64 gal-10 liters

0.14 cubic meters -5 cubic feet

5.35 cubic meters- 7 cubic yards

6.34 pints=3 liters

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units.

The correct match is given below:-

2.64 gal                      ⇒         10 liters

0.14 cubic meters      ⇒          5 cubic feet

5.35 cubic meters     ⇒         7 cubic yards

6.34 pints                   ⇒         3 liters

Hence, the unit conversion is all steps in a multi-step procedure.

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What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ?



y−9=−14(x+2)

y+2=−14(x−9)

y−2=−14(x+9)

y+9=−14(x−2)













Answers

Answer: y−9=−14(x+2)

Step-by-step explanation:

See attached image.

The point- slope form is y−9=−14(x+2).

The correct option is (a)

What is slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

given:

(-2, 9)

As,

y- y1= m (x- x1)

y - 9 = -14( x + 2)

y-9 = -14x -28

Hence, the point slope form is y−9=−14(x+2).

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PLEASE ANSWER THIS

Classify each expression as a polynomial or not. If the expression is a polynomial, name it according to its degree and its number of terms.

f(x)=x^2sqrt3+x-5

I already know it is a polynomial because the highest variable is 2. Please help me with the rest. The question itself confuses me

Answers

The degree is 2 becasuse of the x^2  and there are 3 terms so it is a trinomial.

Solve for a. 5a2=320

Answers

5a^2 = 320
a^2 = 320 / 5 = 64
a = sqrt 64

a = 8, -8
Final answer:

To solve for 'a' in the equation 5a^2 = 320, first divide both sides of the equation by 5 to get a^2 = 64. Then, take the square root of both sides which provides two possible solutions, a = 8, and a = -8.

Explanation:

The student is asking to solve for 'a' in the algebraic equation 5a2 = 320. To find the solution, we first need to isolate 'a' on one side of the equation. Begin by dividing both sides of the equation by 5:

a2 = 320 / 5

This simplifies to:

a2 = 64

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

a = √64

Therefore, the solutions are:

a = 8, a = -8

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Which is a conclusion using the Law of Detachment?

If a rectangle has side lengths 3 cm and 4 cm, then it has an area of 12cm(squared). Rectangle LMNO has area 12cm(squared)

Answers

Final answer:

We cannot conclude that rectangle LMNO has side lengths of 3 cm and 4 cm solely based on its area being 12 cm², as the side lengths are not confirmed by the second statement, thus not properly applying the Law of Detachment.

Explanation:

The question involves the use of the Law of Detachment in deductive reasoning within mathematics. The Law of Detachment, also known as modus ponens, is a logical form that states if the following two statements are true: 'If p, then q' and 'p is true', then we can conclude 'q is true'. In the given scenario, the first statement is 'If a rectangle has side lengths 3 cm and 4 cm, then it has an area of 12 cm2'. The second statement is 'Rectangle LMNO has area 12 cm2'.

To use the Law of Detachment, we need the second statement to confirm that rectangle LMNO has side lengths of 3 cm and 4 cm. However, we are only told the area of rectangle LMNO, not its side lengths. Therefore, based on the information given, we cannot properly apply the Law of Detachment because there is no direct statement verifying the specific side lengths of rectangle LMNO. For the Law of Detachment to be used correctly, the second statement must directly assert that LMNO has the side lengths in question.

Incorrect Conclusion using Law of Detachment

Given the information provided, we cannot conclude that rectangle LMNO has side lengths of 3 cm and 4 cm just because its area is 12 cm2.

Explain why the slope of any horizontal line is 0 and why the slope of any vertical line is undefined. why do the equations of horizontal and vertical lines look so different from those of diagonal lines?

Answers

Think of someone skiing. When they are sliding straight(horizontal) it is zero fun. When they are falling down(vertical) it is undefined because they fell down the cliff. I'm not sure about the second part. Hope that helped;)

Horizontal lines have a slope of zero because their y-value does not change regardless of the x-value, while vertical lines have an undefined slope because their x-value does not change, leading to division by zero. These lines have different equations compared to diagonal lines because they do not follow the general linear form y = mx + b.

The slope of a line represents its steepness and direction. For a horizontal line, the slope is zero because there is no change in the y-value no matter how much we move along the x-axis. In contrast, a vertical line will have an undefined slope because the run (change in x-value) is zero, and division by zero is not defined in mathematics.

Equations for horizontal and vertical lines differ from those of diagonal lines because they don't fit the general linear equation form y = mx + b, where m represents the slope and b represents the y-intercept. A horizontal line has an equation of the form y = b, indicating that y is constant and does not depend on x, while a vertical line has an equation of the form x = a, indicating that x is constant and does not depend on y.

Graphically, an increase in slope means the line gets steeper, while a decrease in slope means the line is flatter. Horizontal lines are the flattest possible with a slope of zero, while vertical lines are conceptually the steepest with an undefined slope.

The width of a rectangle is 3 less than twice its length. if the area of the rectangle is 193 cm 2 cm2, what is the length of the diagonal

Answers

W=2L-3
W*L=193
replace W with 2L-3: (2L-3)L=193
2L^2-3L-193=0
Cannot factor
are you sure the numbers are correct?
If it cannot be factored, use the quadratic formula to find out L, then you can find out W
use the Pythagorean theorem to find the diagonal. I don't see an easier way. 

Bob bought a bike for $250 and repaired it . He can now sell the bike for $300. What is the percent increase in the value bike ?

Answers

Answer:20%

Step-by-step explanation:

250*20%=50

50+250=300

Answer:

20%

Step-by-step explanation:

Why do you multiply a percent by a number to find the percent of that number?

Answers

because a percent is a fraction of 1/100 of a whole thing. for example a whole is 200 and we want to find the 37% of it, we would divide 200 over 100 (which is the percent of the whole thing) and the multiply it by 37 (that is the percentage of the part of the whole thing) and we get 74.
74=37% of 200

The upper limit for the function f(x) = x3 - 3x 2 - 2x + 15 is
3
4
5

Answers

i think it would be 3 have a nice day
there is no upper limit. choosing x large enough one can get any positive number.
that is because x^3 grows much faster than x^2 and x.
the answer is: no upper limit (or infinity).

If a garden path is 85 meters long, how many decimeters long is it? (1 meter = 10 decimeters)

Answers

the answer is 850 decimeters long. Hope I helped.

1-2x+5=4x-3 help me pleaseee

Answers

I think the answer is x=1/2

Add light terms first then you will get -2x+6=4x-3 then subtract 6 on both side then you will get -2x=4x-9 then subtract 4x both side then simplify, the answer will be x=3/2 

A soccer player is running at 6m/s. He then stumbled over an opponent's foot falling, in Rolling to a stop. This took four seconds. What it was his acceleration?

Answers

-1.5m/s² or - 1.5ms¯2

Answer:

His acceleration was -1/5 m/s²

Step-by-step explanation:

We can find the acceleration by using the formula to find the final velocity in terms of initial velocity and acceleration and then solving for a. The formula is   V2 = V1 + (a)(t) where V2 is final velocity, V1 is initial velocity and t is time in seconds.

We are going to substitute the values given in the problem:

V2 = 0 m/s

V1 = 6 m/s

t = 4 seconds

[tex]V2=V1+at\\0=6+a4\\0=6+4a\\-6=4a\\-6/4=a\\-1.5=a[/tex]

Therefore, his acceleration was -1.5 m/s²

PLEASE HELP QUICK!!!
Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled. How many hours did it take the first plane to travel to the destination?

Enter an equation that can be used to solve this problem in the first box.

Solve for x and enter the number of hours in the second box.

Answers

In this question, you are given the plane 1 speed(496miles/h), plane1 depart time(8:00), plane 2 speed(558miles/h) and plane2 depart time(8:30 or 8.5 hour). Both of the planes left from the same airport so their traveling distance should be same. They also arrive in same time. Then the equation would be:

duration = arriving time - depart time
duration1= x= arriving time - 8h
duration2= y= arriving time -8.5h= (arriving time - 8h) -0.5h= x-0.5h 

speed1 * duration1 = speed2 * duration2
496 * x = 558* (x-0.5)
496x = 558x - 279
279= 558x- 496x
279= 62x
x= 4.5hour 

BRAINLIESTTTT aSAP!
i only need part b :)

Answers

For School A, the box plot is not symmetric since it is skewed to the left, however, for School B, the box plot is mostly symmetric since the information is fairly the same on both sides. 

Solve for b 2(b-2)=2b+9

Answers

2(b-2)=2b+9
Distribute. 
2b-4=2b+9
Subtract 9 on both sides.
2b-13=2b
Subtract 2b on both sides.
-13=0
Because -13 is not equal to 0, there are no values of b that satisfy the equation.

If a 40-foot tree casts a 16-foot shadow, find the length of the shadow cast by a 24-foot tree

Answers

The shadow of the 24-foot tree will be 9.6 feet.

What is the ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Given that:-

If a 40-foot tree casts a 16-foot shadow, find the length of the shadow cast by a 24-foot tree.

The shadow of the 24-foot tree will be calculated as follows:-

[tex]\dfrac{40}{16}=\dfrac{24}{x}[/tex]

[tex]x = \dfrac{24\times 16}{40}[/tex]

x = 9.6

Therefore the shadow of the 24-foot tree will be 9.6 feet.

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Final answer:

To find the length of the shadow cast by a 24-foot tree, we use the proportion of a 40-foot tree's height to its 16-foot shadow. The resulting shadow length for the 24-foot tree calculated through cross-multiplication is 9.6 feet.

Explanation:

The length of the shadow cast by a 24-foot tree can be found using a simple proportion based on the shadow cast by a 40-foot tree. Since a 40-foot tree casts a 16-foot shadow, the ratio of the height of the tree to the length of its shadow is 40 to 16. This ratio should be the same for the 24-foot tree. To find the shadow length (x) of the 24-foot tree, we set up the proportion as follows:

40 feet (tree height) / 16 feet (shadow length) = 24 feet (tree height) / x feet (shadow length)

Solving for x gives us:

40 / 16 = 24 / x

40 * x = 24 * 16

x = (24 * 16) / 40

x = 384 / 40

x = 9.6 feet

Therefore, the shadow cast by a 24-foot tree would be 9.6 feet long.

Please help me on this question

Answers

Our goal is to isolate r. First add s to both sides
5r= K+s

Divide both sides by 5
r= (K+s)/5

Final answer: r= (K+s)/5
The answer is R=K/5+S

Lindsey has 10 inches of ribbon. she buys another 3 length of ribbon, each 5 inches long. how much ribbon does she have now?

Answers

Lindsey started with ten inches of ribbon. Lindsey decides to get more ribbon, so she buys three more lengths, with each length being five inches long. Three lengths of ribbon that are five inches long each make a total of fifteen inches of ribbon. If Lindsey started with ten inches of ribbon, and buys fifteen more inches of ribbon, Lindsey has a total of twenty-five inches of ribbon.

What is the area of a parallelogram whose vertices are A(−4, 9) , B(11, 9) , C(5, −1) , and D(−10, −1) ?

Answers

Did you get the answer?

120 is the answer to this problem

The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b?

b = –16
b = –8
b = 8
b = 16

Answers

b equals negative 8. becasue 16 is too large

Answer:

Option B is correct.

value of b = -8

Step-by-step explanation:

Given the equation: [tex]x^2+bx+16= 0[/tex]

As per the condition: The only solution for the given equation is, x = 4.

Substitute this value of x =4 in given equation, to solve for b;

[tex](4)^2+b(4)+16= 0[/tex]

Simplify:

[tex]16+4b+16= 0[/tex]

or

[tex]32 + 4b= 0[/tex]  

Subtract 32 on both sides, we get;

32 + 4b -32 = 0-32

Simplify:

4b = -32

Divide both sides by 4 we get;

b = -8

therefore, the value of b = -8

Kim, Laura and Molly share £385
The ratio of the amount of money Kim gets to the amount of money Mollley gets is 2:5
Kim gets £105 less than Molly gets

What percentage of the £385 does Laura get ?

With working out

Answers

Set x equal to the amount of money Kim gets, and y for Molly's money.

 x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.

Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.

70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.

140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).

Thus, Laura receives about 36.4% of the total money. Hope this helps (:

Consider the following system of equations.

Which statement describes why the system has two solutions?
A. Each graph has one y-intercept, which is a solution.
B. Each graph has one vertex, which is a solution.
C. The graphs of the equations intersect the x-axis at two places.
D. The graphs of the equations intersect each other at two places.

Answers

If you plot them you will see that the intersect each other in two different points.
The solution of a system of equations is the set of points of intersection of the graphs of the equations.
The answer is D.

Answer:

D. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines equivalent.

Step-by-step explanation:

If you look at the graph (Firstly), you can see that both lines look similar, which is one big hint to this question. But (secondly), like the other person said, both have equivalent y-intercepts in each problem. I saw an open spot for me to answer this so I took it UuU!

Also Just Realized This Is A Totally Diff Question On My Quiz, So The Question That Goes With This Answer Is "Consider the equations and graph below.

y = negative 3 (x minus 1). Y = negative 3 x minus 1

On a coordinate plane, 2 lines are parallel to each other.

Which explains why this system has no solution?"

You live near a bridge that goes over a river. The underneath side of the bridge is an arch that can be modeled with the function y= -0.000475x^2 + 0.851x, where x and y in feet. How high above is the river bridge (the top of the arch)? How long is section of bridge above the arch?

A)The bridge is about 1,791.58 ft. above the river, and the length of the bridge above the arch is about 381.16 ft.

B)The bridge is about 1,791.58 ft. above the river, and the length of the bridge above the arch is about 895.79 ft.

C)The bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is about 895.79 ft.

D)The bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is about 1,791.58 ft

Answers

y= -0.000475x^2 + 0.851x

How high above is the river bridge (the top of the arch)?

You have to find the vertex of of the parabole: the y-coordinate is the highest point.

Remember that the x-coordinate of the vertex of a parabole is at - b / 2a.

That is  x = - 0.851 / [ 2(-0.000475) = 895.79

The corresponden y is y = -0.000475(895.79)^2 + 0.851(895.79) = 381.16 feet above the river.

How long is section of bridge above the arch?

The section of the brige is equal to the difference of the two roots

Roots: y= -0.000475x^2 + 0.851x = 0

=> x( - 0.000475x + 0.851) = 0

=> x = 0 and x = 0.851 / 0.000475 = 1791.58

Then the section is 1791.58 feet long.

Therefore, the answer is the option D)The bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is about 1,791.58 ft

For the given functions f and g, find the requested composite function value. (15 pts!!!)

f(x) = √x+3, g(x) = 5x; Find (f ×g)(3).
a. 3√2
b. 5√30
c. √30
d. 5√6

Answers

it would be b or d i hope that help

What is the difference? 405,000,000−1.7×108 2.35 2.35×1072.35×107 ​ 2.35×1082.35×108 ​ ​ 2.35×1092.35×109 ​

Answers

it would be ​ 2.35×1092.35×109 ​

The difference of 405,000,000−1.7×108 2.35 2.35×1072.35×107 ​ 2.35×1082.35×108 ​ ​ 2.35×1092.35×109 ​ is -2,397,000,000.

Let's calculate the difference step by step:

1. 405,000,000 - 1.7 × 10^8

To perform this subtraction, we need to subtract the second number from the first:

405,000,000 - 170,000,000 = 235,000,000

2. 235,000,000 - 2.35 × 10^7

Similarly, we subtract the second number from the first:

235,000,000 - 23,500,000 = 211,500,000

3. 211,500,000 - 2.35 × 10^7

Once again, subtract the second number from the first:

211,500,000 - 23,500,000 = 188,000,000

4. 188,000,000 - 2.35 × 10^8

Perform the subtraction:

188,000,000 - 235,000,000 = -47,000,000

5. -47,000,000 - 2.35 × 10^9

Finally, subtract the second number from the first:

-47,000,000 - 2,350,000,000 = -2,397,000,000

So, the difference is -2,397,000,000.

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