Claire and Richard are both artists. Claire uses the polynomial 50x^2+250 to decide how much to charge.Richard uses the polynomial 49x^2+350 to charge how much to charge for his painting.In each polynomial x is the height of the paintings feet. To the nearest tenth what height will both Claire and Richard charge for the same amount for a painting?

Answers

Answer 1

Answer:

The height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.

Step-by-step explanation:

The polynomial expression representing the charge for Claire's paintings is:

C = 50x² + 250

The polynomial expression representing the charge for Richard's paintings is:

R = 49x² + 350

Here x represents the height of the paintings feet.

Now compute the value of x such that both Claire and Richard charge the same amount as follows:

C = R

50x² + 250 = 49x² + 350

50x² - 49x² = 350 - 250

x² = 100

x = 100

Thus, the height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.


Related Questions

The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?

Answers

Answer:

In cm 360

In meters 3.6

Step-by-step explanation:

had the same question but had to answer in both and got em right

HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP

Answers

Answer:

The triangles are lined up with their correct pairs already.

Step-by-step explanation:

The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.

Combine the like terms to create an equivalent expression:
-3z-z

Answers

It would be -4z
(: need more characters

I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?

Answers

Answer:

7.50$

Step-by-step explanation:

3+3+1.5=7.50$.

Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?

Answers

Answer:

it would take him 19 track practices

Step-by-step explanation:

26miles - 7miles= 19miles

2/5(a+2b)^2 (if a=3 and b=-4)

Answers

The answer is 10. Hope this helps.

Multiply the numbers

2/5 •(3-8)^2

Subtract (3-8)

2/5• (-5)^2

A negative base raised to an even power equals a positive

2/5• (5)^2

Reduce the expression with 5.

2•5

10

Which diagram suggests a correct construction of a line that is parallel to given line I and passes through given point Q?

Answers

Answer:

I've done this before, I think it was C.

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

what is the approximate percent change in a temperature that went down from 120 degrees to 100 degrees?

the percent change is approximately 17%

the percent change is approximately 20%

the percent change is approximately 80%

the percent change is approximately 120%​

Answers

Answer:17

Step-by-step explanation:my teacher explained how 20 is wrong

Answer:

It is 17 percent.

Step-by-step explanation:

Confirming the other answer is right and just saying it's right for other people who might not trust em. :D

A function f(x) is graphed.
What is the slope of the function?
ma
What is the y-intercept of the function?
b.
Which equatich represents the graph of the function?

Answers

The slope is 2. The y-intercept is 1. The equation is y=2x +1

Answer:

slope:1/2

y intercept:-1/2

equation of the line: y=1/2x-1/2

Step-by-step explanation:

choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.

now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b

since b is the y intercept, solve for b and you get b= -1/2.

so nowsince you know the slope and the y intercept you just plug it in to the equation

y = mx + b and you get y=1/2x-1/2.

what is the slope of the line whose equation is y-4=5/2(x-2)

-5/2

-2/5

2/5

5/2​

Answers

Last one 5/2 is the answer

Answer:

The slope of the line would be 5/2

Step-by-step explanation:

Because if you put in the y-4=5/2(x-2) on the desmos calculator the line segment shows up and you will find the rise/run which is the equation to find a slope. So the rise I counted was 5 and the run was 2. Therefore the fraction would look like this: 5/2

8 different type of numbers?

Answers

Answer:

Disclaimer: You can disregard some if not wanted information.

1. decimal's

2. Exponent's

3. Variable's (still counts)

4. rational number's

5. Irrational Number's

6. Repeating Decimal's

7.Terminating decimal's

8.Integer's

One Honorable Mention:

Fraction's

Step-by-step explanation:

Answer:

rational numbers: 1/2, 5/8

irrational number: ie. pi, numbers under a root symbol

whole numbers: 0, 1, 2, 3...

real numbers: ie. 4, 1/2, -0.5

integers: ie. ...-3, -2, -1, 0, 1, 2, 3...

natural numbers: ie. 1, 2, 3, 4...

counting numbers

decimal numbers: ie. 0.2, 2.4

How do you find the endpoint?

Answers

Answer:

Step-by-step explanation:

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.

Solve for x. Enter just a number for your answer.This question is from your 2 points
unit review packet. *
(2x + 43)
(2x-3)
Your answer

Answers

Answer:

35

Step-by-step explanation:

Given angles are Consecutive interior angles

As per property, they add up to 180

2x+43 + 2x - 3 = 1804x + 40 = 1804x = 140x = 140/4x = 35
Solution

here ,

the given angles are consecutive interior

according to the question by the property they are add up to 180 degree .

Now,

=> 2x +43 + 2x -3 = 180

=> 4x +40 = 180

=> 4x=180-40

=> 4x =140

=> X = 140/4

=> X = 35

the required answer is 35 .

Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in
the value of the store gift card?

Answers

Answer:

If the gift card is $30 the remaining change is 3 dollars

Evaluate the following expression. $$(10 + 2) \div 6 + 5^3$$

Answers

Answer:5

Step-by-step explanation:

The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?

Answers

Answer:

Yes, Samuel dart does land on the dart board

Step-by-step explanation:

The given parameters are;

The height from the floor to the bulls eye = 5 feet 8 inches

The size of the standard board = 18 inches diameter

The distance of the bulls eye from the wall to the left = 11 feet

The distance the dart Samuel throws land from the left wall = 11.5 feet

The distance above the ground, the dart Samuel throws land = 5.5 feet

Whereby Samuel throws the dart directly at the dartboard, we have;

The location of the bulls eye = (11, 5.67)

The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625

The unit of the radius is in feet

The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)

Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;

(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²

Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;

Yes, Samuel dart does land on the dart board.

From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;

Samuel's dart does not land on the dartboard.

We are given;

Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft

Diameter of the standard dartboard = 18 in = 1.5 ft

Thus, radius; r = 1.5/2 = 0.75 ft

Distance of the bulls eye from the wall to the left = 11 ft

Distance of dart thrown by Samuel from the left wall = 11.5 ft

Height of dart thrown by Samuel above the ground = 5.5 ft

We know that general equation of a circle is;

(x - a)² + (y - b)² = r²

Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft

And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft

Thus;

(x - 11)² + (y - 5.67)² = 0.75²

(x - 11)² + (y - 5.67)² = 0.5625

Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;

r² = (11.5 - 11)² + (5.5 - 5.67)²

r² = 0.2789

r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.

Read more at; https://brainly.com/question/18430680

In an arithmetic sequence with a1= 35 and d = -5, which term is – 15?
The term - 15 is the th term of the sequence.

Answers

Answer:

            The term -15 is the 11-th term of the sequence

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\-15=35+(-5)(n-1)\\\\-15=35-5n+5\\\\5n=40+15\\\\5n=55\\\\n=11[/tex]

An object’s volume is 0.12 kL. What is its volume in liters?

Answers

Answer:

120L

Step-by-step explanation:

Given quantity;

    0.12kL to L

Solution:

Convert the given quantity to Liters;

      1000L  = 1kL

So.

        1kL gives 1000L

        0.12kL will be 1000 x 0.12  = 120L

Suppose the equation of line t is y=x

Answers

Answer:

Hi

Step-by-step explanation:

i need help with this​

Answers

okay. so the constant of proportionality is -2.75, since you divide the feet dug (y) by the amount of hours it took (x). so, you would just divide -38.5 by -2.75 and get 14 hours.

Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.

Answers

Answer:

10

Step-by-step explanation:

For movie mania:

Sign-up fee = $ 20

Rent for 1 DVD = $ 4.00

For Hurricane video:

Sign-up fee = 0

Rent of 1 DVD = $ 6.

Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.

For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=20+4n

For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs

=0+6n=6n

Now, for both stores to charge the same, both the charges must be equal, we have

6n=20+4n

[tex]\Rightarrow 6n-4n=20[/tex]

[tex]\Righatarroe 2n=20[/tex]

[tex]\Rightarrow n =20/2=10[/tex]

Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.

On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita’s paddling speed in still water and the speed of the river’s current

Answers

Answer: C (ED 2020)

Step-by-step explanation:

C, s + c = 2.75

c - s = 1.5

.60 mi/h

A small cab carries 4 people. How many small cabs will I need to transport 44 people?

Answers

44/4 = 11, so 11 small cabs would be needed to transport 44 people.
11 small cabs would be needed

The equation y = -3x + 5 represents a ____ function. The -3 represents the ____ of the line. This means that the slope is _____ . The 5 in the equation represents the ____ of the line. This is where the graph crosses the ____ axis.

Answers

Answer:

Step-by-step explanation:

The equation y = -3x + 5 represents a linear function. The -3 represents the slope of the line. This means that the slope is -3 . The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y-axis.

Compare the original equation with the standard form to get all the values.

[tex]y=-3x+5\\y=mx+c[/tex]

If we compare m= -3 and c=+5 where m is the slope/gradient and c is the y-intercept.

The equation y = -3x + 5 represents a Linear function. The -3 represents the slope of the line. This means that the slope is -3. The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y axis.

What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. So the way to describe linear functions is that for any given change in x, the change in y will always be the same value.

Therefore,

Compare the original equation with the standard form to get all the values.

y = -3x + 5

y = mx +c

If we compare m = -3 and c = 5 where m is the slope/gradient and c is the y-intercept.

To learn more about Linear function, refer to:

https://brainly.com/question/15602982

#SPJ2

You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.

Answers

Answer:

Without cutting any of the slabs, what is the largest square patio you are able to build?

8 ft x 8 ft = 64 ft²

Will you have any slabs left over? If so, how many?

yes, I will have 16 slabs left over

Step-by-step explanation:

to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs

if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)

ASAP!!! PlEASE !!!!!!!!!

Answers

Answer:

100 yards cubed

Answer: 100

Step-by-step explanation:

multiply them all together

Which of the following website features is the least useful when assessing the reliability of a website? (5 points)
Select one:
a. The author's background
b. The date the site was updated
c. The website's address
d. The website's title

Answers

Answer:

D: Website titles

Step-by-step explanation:

How many degrees is are

Answers

Answer:

AMH = 32

Step-by-step explanation:

The angles are alternate exterior angles and when the lines are parallel, alternate exterior angles are equal

x+86 = 24+2x

Subtract x from each side

x+86 -x =24+ 2x+2x-x

86 = 24 +x

Subtract 24 from each side

86-24 = 24+x-24

62 =x

x+86 = 62+86 =148

AMH is supplementary since it forms a straight line

AMH + x+86 = 180

AMH + 148 = 180

AMH = 180-148

AMH = 32

This recipe makes 5 portions of fajitas.
Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 70 g of spice mix and 16 tortillas.
How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe: Serves 5
400 g chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
PLS HELP ME I NEED IT BAD!!!!!!!!!!!!

Answers

Answer:

Chicken: 500g

Peppers: 1kg

Onions: 10g

Tortillas: 14

Step-by-step explanation:

hope this helps

If you get an A on your math test, then you can choose where to go to dinner. If you can choose where to dinner, then you can go to your favorite restaurant. If you get an A on your math test, then you can go to your favorite restaurant. Law of Detachment Law of Detachment Law of Syllogism

Answers

Answer:

Law of Syllogism

Step-by-step explanation:

The scenario that is being described is an example of the Law of Syllogism. This law basically gives three statements the first causes the second (a=b), and the second causes the third (b=c), which therefore means that the first would cause the third (a=c). In this scenario, each part would have the following effect...

(a) get an A on the math test = (b) choose where to go for dinner

(b) choose where to go for dinner = (c) you can go to your favorite restaurant.

Therefore

(a) get an A on the math test = (c) you can go to your favorite restaurant.

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