The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x feet longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet

Answers

Answer 1

Answer:

18 ft and 30 ft

Step-by-step explanation:

The new dimensions will be:

10 + x and 22 + x

The area is 540

Using area equation we get:

(10 + x)(22 + x) = 540x² + 32x + 220 = 540x² + 32x = 320x² + 2x*16 + 256 = 320 + 256(x + 16)² = 576x + 16 = √576  (Ignoring the negative root as the length is never negative)x + 16 = 24x = 8

The new dimensions are:

10 + 8 = 18 ft and 22 + 8 = 30 ft

Related Questions

845 + 68 =.....￴ ￴ ￴￴ ￴￴ ￴ ￴​

Answers

Answer:

777

Step-by-step explanation:

Answer:

913

good luck <3

please help! due tmr

Answers

Answer:

One solution

Step-by-step explanation:

3x+x+2=8x-4x+2

Combine like terms.

4x+2=4x+2

Solve for x

4x+(-4x)+2=4x+(-4x)+2

2=2

This equation has one solution because 2 only equals 2 and will not equal any other number.

What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)

Answers

Answer:

[tex]m=− 32​ ≈−0.666666667[/tex]

Step-by-step explanation:

Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?

Answers

Answer:

35

Step-by-step explanation:

If x = 3, find the value of x2 + 2x

Answers

Answer:

15

Step-by-step explanation:

[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]

3 · 2 = 6

2 · 3 = 6

6 + 6 = 12

Have a luvely day!

Question
The formula for simple interest is I=Prt.
Solve the formula for t.

Answers

Answer:       I    =    t                     Pr

Step-by-step explanation:

We can solve for t by making it the subject of the equation.

since   I = Prt             [divide both sides by Pr]

∴           I    =    t             Pr

Which of the following is equal to the expression below?
(8 x 320)^1/3
ОА.
835
OB.
30
Ос.
40
OD
1036
Reset

Answers

256/3.hope this helps

May I please receive help?

Answers

4, -1/4 -1,

we can do this simply by

(y2-y1)/(x2-x1)

and simplifying

Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)

Answers

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

Bill has two dollars and 2 cents. How much money does he have?

Answers

Answer:

He has $2.02

Step-by-step explanation:

You answered the question in the first sentance.

158 divided by 37 I don’t get it what is the answer

Answers

Answer:

4.2702702703

=

4 Remainder 10

Step-by-step explanation:

158 divided by 37 = 4.270

The result of 158/37 is a non-terminating, repeating decimal.

The repeating pattern above, 270, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 158/37 = 4.(270): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 158 / 37 = 4.270… .

158 divided by 37 in decimal = 4.270

158 divided by 37 in fraction = 158/37

158 divided by 37 in percentage = 427.02702703%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 158 and 37, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 158, and the denominator, e.g. 37, have been inserted.  

Answer:

4.2703

Step-by-step explanation:

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Eureka Math - 7th grade
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5.8 Solve two-step equations: word problems D2Y
Tutor
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he
spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much
did Zack receive for each hockey stick?
Submit

Answers

$32 for each hockey stick

Step-by-step explanation:

71+25=96

96 divided by 3= 32

Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.

Given that Zack sold 3 old hockey sticks and earned a total amount of money.

He spent $25 of his earnings on a pair of used hockey gloves.

After buying the gloves, he had $71 remaining.

Now, we need to find out how much Zack received for each hockey stick.

Let's assume the amount he received for each hockey stick is "x" dollars.

Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick

Total earnings = 3x

Zack spent $25 on gloves and had $71 remaining, so we can write this equation:

Total earnings - Amount spent = Remaining money

3x - 25 = 71

Now we can solve for x (the amount received for each hockey stick):

3x - 25 = 71

Add $25 to both sides:

3x = 96

Divide both sides by 3:

x = $32

So, Zack received $32 for each hockey stick he sold.

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A functionf(x) is graphed on the coordinate plane.


What is the function rule in slope-intercept form?



Enter your answer in the box.

f(x)=

Answers

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

express ratio as a fraction in simplest form

a. 10 yards to 10 feet

hint *there are 3 feet in every 1 yard​

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]

If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds

Answers

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground

William says that 15 years from now, his age will be 3 times his age 5 years ago. if x represents William's present age, what equation represents his claim? What is Willaim's current age?

Answers

Answer:

x + 15 = 3 (x - 5)

William’s current age: 15. Years old

Step-by-step explanation:

x + 15 = 3(x-5)

x + 15 = 3x - 15

15 + 15 = 3x - x

30 = 2x

x = 15

the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. an oblique pyramid has a square base with an edge length of 5 centimeters. the height of the pyramid is 7 centimeters. what is the volume of the pyramid? 11two-thirds cm3 43three-fourths cm3 58one-third cm3 87one-half cm3

Answers

The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³

Volume of a pyramid

The volume of a pyramid is decribe as follows:

volume of a pyramid = 1 / 3 Bh

where

B = base areah = height of the pyramid

Therefore,

B = 5² = 25 cm²

volume of the pyramid = 1 / 3 × 25 × 7

volume of the pyramid = 175 / 3

volume of the pyramid = 58.3333333333

volume of the pyramid = 58. 33 cm³

learn more on pyramid here:https://brainly.com/question/3399922

Answer:

C. 58 1/3 cm^3

Step-by-step explanation:

The correct equation that goes through the point (3, 4) and is parallel to the line y=2x+1

Answers

Answer: y = 2x -2

Step-by-step explanation: parallel is same slope diff y intercept

y = 2x

4 = 2(3) + x

4 = 6 + x

x = -2

What is the equation of a line that is paralel to — 3x + 4y = 4 and passes through the point (4, 0)?

Answers

Step-by-step explanation:

..............

=> 3x + 4y = 12

Please help with showing the points in the table

Answers

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

solve the system using the elimination method.
3x - 7y = -18
4x - 2y = -24

Answers

3x-7y=-18
4x-2y=-24
——————
12x-28y=-72
12x-6y=-72
——————-
12x-28y=-72
-12x+6y=72
——————-
-23y=0
y=0
——————-
3x-0=-18
3x=-18
x=-6
——————-
COORDINATES: (-6, 0)

There were 768 towels on sale at the local store. 24 women purchased equal amounts of towels and left the shelf empty. How many towels did each woman purchase?

Answers

Answer:

Each women purchased 32 towels.

Step-by-step explanation:

Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.

1/3× 21/4-11/2÷22/5?? .btw they are improper fractions​

Answers

Solution:

[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]

Answer:

[tex] \frac{1}{2} [/tex]

Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct?

Answers

Answer:

7*7=49

Step-by-step explanation:

x2y

7*2*9

=129

7*9

=63

9*2

=18

7*2

=14

7*7

=49

Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

Answers

The correct option is D f⁻¹(x) = 2 + √(x + 2).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function of a function f in mathematics is a function that reverses the operation of f.

The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,

f⁻¹(x) = 2 + √( x + 2).

Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).

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I need the answer for this

Answers

Answer:

JK = 12.6

Step-by-step explanation:

Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO

25.2/66 = JK/33

33(25.2/66) = JK

12.6 = JK

Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w

Answers

f(x) = 5(x - 3) + 1

Find slope by using the vertex point and the other point given. You get 5. Then the vertex point is just the opposite x and the number after the parentheses.

Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.

Answers

Answer:

f'(x)=6x+8

Step-by-step explanation:

Peter ​says, "If you subtract 14 from my number and multiply the difference by ​-7 , the result is -91 ​." What is Peter​'s ​number?

Answers

Answer:

x = -77

Step-by-step explanation:

based on the given conditions

x - 14 = -91

x = -91 + 14 then calculate the difference between -91 - 14 = -77

thus x which is peters number = -77

Help me with this problem plzzz

Answers

Answer:

definition of perpendicular

Step-by-step explanation:

typically when 2 lines cross they are 90 degrees or other word... perpendicular

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