Suppose a stage for the Lunar New Year festival has a length of 24 feet and a width of 4x + 4 feet. If the area of the stage is 384 square feet, what is the value of x?

Answers

Answer 1

Answer:

The value of x is 3

Step-by-step explanation:

The stage is rectangular in shape.

The formula for area of a rectangle is:

Length × Width

Length = 24 feet

Width = 4x + 4 feet

Hence:

384 = (4x + 4) × (24)

384 = 96x + 96

Collect like terms

384 - 96 = 96x

288 = 96x

x = 288/96

x = 3

The value of x is 3


Related Questions

Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct?

She is correct, because both solutions satisfy the equation.
She is not correct, because she made a sign error.
She is not correct, because there are no solutions.
She is not correct, because there is only one solution: x = 3.5.

Answers

She is not correct, because there are no solutions.

Explanation: If you isolate the absolute value by adding 1 both sides of the equation, you get -|2x-10|=3. There are no solutions, because the left side of the equation will always be negative and will never equal 3.

She is not correct, because there are no solutions. (Option C).

What is an equation?

An equation refers to any mathematical statement that contains the equality sign. Now we can see in the equation that there is a negative sign before the absolute value.

Now we have;

–|2x – 10| – 1 = 2

–|2x – 10| = 3

This is not possible because the absolute value does not return a negative value and the expression can never equal 3.

Thus, she is not correct, because there are no solutions.

Learn more about equation:https://brainly.com/question/10413253?

#SPJ9

Rich and Betsy Cuik started a small business. They manufacture a microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains spring water and ground coffee beans in a tea-bag-like pouch. Each cup costs the company $1.00 to manufacture. The fixed costs for this product line are $1,500. Rich and Betsy have determined the demand function to be q = -1,000p + 8,500, where p is the price for each cup.
Write the expense equation in terms of the demand, q.
Express the expense equation found in part (a) in terms of the price, p.

Answers

Answer: E= 1.00q + 1,500

Step-by-step explanation:

Help me plzzzzzzzzzz​

Answers

Answer:

∠f=34°

Step-by-step explanation:

the answer for this is 34°

A child 4 1/2 feet tall casts a 6-foot shadow. A nearby statue casts a 12-foot shadow.​

Answers

Answer: The statue is 9 feet tall.

Step-by-step explanation: Just double all of your values because 12 is 6x2.

-3-(0.5) on a number line

Answers

Answer:

-3.5

Step-by-step explanation:

mark on the left side of the number line where -3.5 is.

Write a linear function f with f(0) = 2 and f(2)=4.
f(x) =

Answers

Answer:

f(x) = x + 2

Step-by-step explanation:

(0, 2)

(2, 4)

Slope m = (4 - 2) / (2 - 0) = 1

y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2

pls help me, i’ll give brainliest

Answers

Answer:

the set of integers

Step-by-step explanation:

There are 6 people in George's family. How much did George's mom pay for tickets? Show how you found your solution.

Answers

Answer:

$75

Step-by-step explanation:

To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.

The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.

Using (4, 50), this means that 4 tickets cost $50.

Unit rate/constant of proportionality = y/x = 50/4 = 12.5

This means a ticket costs $12.5.

Therefore, 6 tickets would cost:

6 tickets × $12.5 = $75.

George's mom paid $75 for the tickets?

Find the third, fifth, and tenth terms of the sequence described by the rule.
A(n)= -5+ (n - 1)(6)
A(3) =
(Simplify your answer.)
A(5) =
(Simplify your answer.)
A(10) =
(Simplify your answer.)

Answers

A(3)= 6
A(5)= -19
A(10)= -49

If m <1 = 7x and m <4 = 3x + 20, what is the m <2?
2
14
35
5

Answers

Answer:

It would be 35

Step-by-step explanation:

Angle 1 and Angle 4 are equal so then you can solve for x.

7x = 3x + 20

x = 5

Then plug in 5 for x

7(5) = 35

Using the number line above, write the integer that each point represents

Pls answer number 3

Answers

Answer:

E= -6

D=  4

B =- 4

Step-by-step explanation:

Answer:

The answers are:

E: -6

D: +4

B: -4

PLEASE WILL GIVE BRAINLIEST!!

Answers

Step-by-step explanation:

Hey there!

According to the figure;

9v = 31° + 4v + 44° { The exterior angle is equal to the sum of opposite adjacent interior angles}

9v-4v = 44°+31°

5v = 75°

v = 75°/5

Therefore, v= 15°.

Hope it helps...

the table below represents a proportional relationship the unit rate of the relationship is ______?

Answers

Answer:

It is 3

Step-by-step explanation:

I know it is 3 because multiply every nimber on the and you will get the number frome the bottom.

equivalent ratio to 2:5

Answers

Answer:

4:10

8:20

16:40

1:2.5

Step-by-step explanation:

Find the value of missing angles

Answers

90 + 2x + 1 + 5x + 5 = 180

7x + 96 = 180
7x = 84
X = 12

Hey can you please help me

Answers

M= -2
B= 4
Dashed below

Help me out here pleaseeeeeeeee.

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator

[tex]\frac{5}{10}[/tex] ← divide numerator/ denominator by 5

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

[tex]\frac{4}{5}[/tex] ← is in simplest form

[tex]\frac{6}{10}[/tex] ← divide numerator/denominator by 2

= [tex]\frac{3}{5}[/tex]

[tex]\frac{8}{12}[/tex] ← divide numerator/denominator by 4

= [tex]\frac{2}{3}[/tex]

[tex]\frac{4}{5}[/tex] is the only fraction given in simplest form

The scale of a map is 2/5 inches represents 3 miles. How much does 1 inch represent?

Answers

Answer:

DEEEEEEZ NUTTTTTTZ

Step-by-step explanation:

Sophie bikes s miles per hour. Her friend, Rana, is slower. Rana bikes r miles per hour.
c
Rana and Sophie went for a 20-mile bike ride today. Each girl biked at her usual speed. How long did Sophie wait for Rana at the end of the route?

Answers

Answer:

C x 20 + R x 20

Step-by-step explanation:

C x 20 + R x 20 or

20c + 20r

PLEASE HELP ME I ONLY HAVE 10 MINS TO FINISH ALL MY ASSIMENTS, WILL GIVE BRAINLIEST AND 15 POINTS
question:The baseball infield has an area of 90^2 square feet. What is the area of the infield?

Answers

Answer:

8100 square feet

Step-by-step explanation:

The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?​

Answers

Answer:

It's simple. All you need to do is subtract 2 from 40.

Length: 40 ft

Width: 38 ft

Hopefully that helped! :)

Step-by-step explanation:

Find the value of X in the triangle

Answers

Answer:

             44°

Step-by-step explanation:

[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]

[tex]m\angle DBE=m\angle ABC=68^o[/tex]   {vertical angles}

[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]

Find all multiples of 6 that are less than 40

Answers

Multiply 6 by numbers 1 -6:

To get:

6, 12, 18, 24, 30,36

2, 3, 4, 5, 6- if that’s what you meant

Find the area of the circle.

Answers

Answer:

8.938

Step-by-step explanation:

Answer:

dont at me if its wrong but i think its the second one

Step-by-step explanation:

g(x) = x + 2h (x) = x^2 – 4Find: g(x) • h(x)

Answers

See attachment for math work and answer.

Express the tangent of

Answers

Answer:

Step-by-step explanation:

TANGERINES

Answer:

of what ? finish the question

Last question I think HELP ME ITS FIXING TO BE OVER DUE!!!

Answers

Answer:

I am not good at this but a good app for math is Math

way

~Hope this helps!!Stay safe~

Write the equation of a line with a slope of 5 and contains the point (-6, 2)

Answers

I think the answer would be y=5x-3/5. You would use the point slope formula(y=mx+b) and plug in 5 for m and the x and y of the point for x and y. Solve for b and the plug in b and 5 into the point slope formula to get the answer! Hope it helps!!

What is the slope of the line that passes through the points (-6 , -4) and ( -12 , -4)? Write in simplest form plssss!

Answers

Answer:

the slope is zero

Step-by-step explanation:

Answer:

I think that: slope (m) = 0

Step-by-step explanation:

the equation of slope is m = y2-y1/x2-x1

so, y2 = -4, y1 = -4, and x2=-12, and x1= -6

Just substitute them into the equation:

m = -4 - -4 / -12- -16

m = 0

The slope is equal to 0

I hope this helps!

The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 50t - 2t2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop? (4 points)

Answers

Answer:

t=12.5s

Step-by-step explanation:

s(t) = 50t - 2t^2

v(t) = 50 - 4t

a(t) = -4

When v(t) = 0, the car stops.

v = u +at

0 = 50 + (-4)t

t = 12.5

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