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

Witch expression is equivalent to 5(8+9)

Answers

Answer:

85

Step-by-step explanation:

Use distributive rule.

a(b + c) = a*b + a*c

5(8 + 9) = 5*8 + 5*9

             = 40 + 45

             = 85


Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).

Answers

Answer:

y + 9 = [tex]\frac{1}{5}[/tex](x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{1}{5}[/tex] and (a, b) = (- 4, - 9) , thus

y - (- 9) = [tex]\frac{1}{5}[/tex](x - (- 4) ) , that is

y + 9 = [tex]\frac{1}{5}[/tex](x + 4)

1. A set of weights includes a 5 lb barbell and 8 pairs of weight plates. Each pair, p,
weights 10 lbs. If x pair of weight plates are added to the barbell, the total weight of the
barbell in pounds can be represented by the function
f(x) = 10x + 5. What is a reasonable range of the function in this situation?

Answers

Answer:

5 <= y <= 85

Step-by-step explanation:

Since the lowest weight possible is 5lbs (just the barbell and no weights) the lowest point of the range is 5lbs (the y intercept when x = 0)

The highest weight possible is 85lbs since, there is only 8 pairs of weight plates (8 is the input value) and the pairs each weigh 10lbs (the slope of the graph) + 5lbs from the barbell (y-intercept).

Using the function given, if you input 8 as the x value, you get

85 = 10(8) + 5

So the highest value of the range is 85lbs, therefore the range is 5 <= y <= 85.  

A college student has $4,032 he earned from working during the summer. If he earned $288 per week, how many weeks did he work? Complete the division problem to find the quotient. Only enter the number part of your answer, no labels.

Answers

Answer:14 weeks

Step-by-step explanation:288 x 14 = 4032

What is the largest number of three consecutive integers whose sum is 42? 12 13 15 17
show complete working format please ​

Answers

Answer:

Three consective even integers can be represented by x, x+2 x+4 the sum is 3x+6, which is equaled to 108

Step-by-step explanation:

jus do tha math youll be ok

Which number can fill in the blank below?



4.3 < _________ < 4.5



A.440%

B.44%

C.4.4×10^1

D.4.4%

Answers

Answer:

A

Step-by-step explanation:

440 percent is the same thing as 4.4

17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.
a Find f(x) + g(x)
b. Find f(x) – g(x)

Answers

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

f(x)+g(x)= (2x^2+5x+6)+(3x^2+4x-10)= 5x^2 + 9x -4.
f(x)-g(x)= (2x^2+5x-6)-(3x^2+4x-10)= 2x^2+5x-6 (-3x^2 - 4x +10)= -x^2 +x+4

WRITE 0,000003 56 IN SCIENTIFIC NOTATION ​

Answers

Answer:

3.56X10^-6

Step-by-step explanation:

In converting numbers to scientific notation, simply move the decimal point of the number until the numerical coefficient is greater than 1 but less than 10. Be sure to take note of the following:

1. The numerical coefficient.

2. Number of times we move the decimal point. It will be the exponent with the base of 10.

3. The direction we take in moving the decimal point. If the direction is to the right, take the negative sign for the exponent. If the direction is to the left, take the positive sign for the exponent.

Here, we move the decimal point of 0.00000356 to the right 6 times. So, we have now 3.56X10^-6.

Which ordered pairs are solutions to the inequailty 2x + y > -4
Select each correct answer

A) (-1, -1)
B) (5, -12)
C) (-3, 0)
D) (0, 1)
E) (4, -12)

Answers

A, B, and D are the correct answers

0.02+0.04+0.09+0.11+0.2+0.45=
PLZ HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

0.91

Step-by-step explanation:

Answer: 0.91

Step-by-step explanation: 0.02+0.04+0.09+0.11+0.2+0.45

=0.06+0.09+0.11+0.2+0.45

=0.15+0.11+0.2+0.45

=0.26+0.2+0.45

=0.46+0.45

=0.91

A square is dilated by a scale factor of 2. Explain how the scale factor would affect the area and perimeter of the square.

Answers

Answer:

its 77

Step-by-step explanation:

Dracula has 48 pieces of candy. He gave 1⁄3 of his candy to his friend and 25% of his candy to his cousin. How many pieces of candy does Dracula have left?
Please show your work.

Answers

Answer:

20

Step-by-step explanation:

1/3 of 48 is 16, and 25% of 48 is 12. 16 + 12 = 28.

48 - 28 = 20

HAVE A GREAT DAY!! :)

Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?

Answers

an hour is 60 minutes so we would do 60x11 which equals 660 then divide by 3 which is 220 so 220 minutes is your answer

please help me :(((( will mark brainlinest
Give an example of an equation for a linear relationship that has a faster rate of change than the one in the graph.

Answers

Answer:

One such equation is y = -5x.

Step-by-step explanation:

Let's figure out the equation of the graph.

We see two points (1, -1) and (0, 1).

The equation is y = -2x + 1.

So an equation with a faster rate of change is y = -5x.

Answer:

-5 lol i tried srry

CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT

Answers

The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)

Determine the rate of change for the data in the table below. Write The rate as a unit rate.

Answers

Answer:

2/6

Step-by-step explanation:

I'm not sure if it's this but there is 2 more balloons added to the left column and 6 more added to the right column.

11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None​

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

f(x) = x³ + x² + x + 1

If x = 1 is a factor then f(1) = 0

f(1) = 1³ + 1² + 1 + 1 = 4 ≠ 0 , thus x = 1 is not a zero

f(- 1) = (- 1)³ + (- 1)² + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0

Thus x = - 1 is the only zero

PLEASE help find measure of angle - TEst review today

Answers

Answer:

alternate exterior angles and lines are parallel so

10x is congruent to 11x-8

second question

alternate interior angles and lines are paralles so angles are congruent

Solve the compound interest problem. ​$3425 is invested at ​%7.5 compounded monthly for years. a. Find the overall amount. b. Find the compound interest.

Answers

Complete question :

Solve the compound interest problem. ​$3425 is invested at ​%7.5 compounded monthly for 2 years. a. Find the overall amount. b. Find the compound interest.

Answer:

$3977.425 ; $552.425

Step-by-step explanation:

Given that:

Principal (P) = $3425

Rate (r) = 7.5% = 0.075

Time(t) = 2 years

A = p(1 + r/n)^nt

r = rate

n = number of times compounded per year

t = time in years

A = final amount

A = 3425(1 + 0.075/12)^12*2

A = 3425(1 + 0.00625)^24

A = 3425(1.00625)^24

A = 3425(1.1612920)

A = $3977.4251

Hence, overall amount = $3977.425

Compound interest = $(3977.425 - 3425) = $552.425

calculate the total surface area of a cone with a base radius of 6cm and slant height 10cm. I need the working please ​

Answers

Answer:

301.59cm²

Step-by-step explanation:

Solution

A=πrl+πr2=π·6·10+π·62≈301.59289cm²

hope dis helped

help me out guys :[ aaaaaaaaa

Answers

Answer:

this is explaining how to do it, you need to isolate the variable so you need to substract or add so that she is alone.

Step-by-step explanation:

Answer:

jytytuiyi

Step-by-step explanation:

3rgrrf

I’m not sure how to do this, someone please help.

Answers

Answer:

A

Step-by-step explanation:

Answer: It is E (3, -7)

if triangle GHI is equilateral and JHK is isosceles, what is the measure of JHK

Answers

Answer:

The measure of JHK is 25 degrees

Step-by-step explanation:

If GHI is equilateral, it means each of the angles are equal to 60 degrees

Thus;

7x - 31 = 60

7x = 60 + 31

7x = 91

x = 91/7

x = 13 degrees

The measure of JHK IS x + 12

simply insert the value of x here

Angle JHK = 13 + 12

Angle JHK is 25 degrees

Answer: 25

Step-by-step explanation:

Mr. Smith'a cell phone service cost $60 per month plus $0.10 for each minute (m) of long-distance calls. His bills for September was $85. How many long distances minutes did he use?

Answers

85 - 60 = $25 from fees
25 / .10 = 250 minutes
He used 250 long distance minutes in September
You start with $85-$60 which is just subtracting the monthly bill, that equals $25. Then you would divide $25 by the amount for each minute ($0.10), that equals 250. Therefore he made 250 long distance calls.

Please help! Solve each system by elimination.
-x-3y- 3z= 16
-6x+3y+2z=-27
4x+6y+4z=-22

I will give brainliest to whoever shows steps!

Answers

Answer:

Step-by-step explanation:

-x-3y-3z=16

x=-3y-3z-16

-6x+3y+2z=-27

6x=3y+2z+27

x=3/6 y + 2/6 z +27/6

x=1/2y+1/3z+9/2

4x+6y+4z=-22

4x=-6y-4z-22

x= -6/4y -4/4 z -22/4

x=-3/2y -z-11/2

Answer:

(x, y, z) = (2,-3,-3)

Step-by-step explanation: 4x+6y+4z = -22 Divide both sides by = 2x + 3y+2z= -11

To solve the system , rewrite it as two systems each consisting of two equations.

1) {-x-3y-3z = 16} {-6x+3y+2z = -27}

2) {-x-3y-3z=16} {2x+3y+2z=-11}

Solve the system of equations

1) -7x-z=-11

2)x-z=5

Write as a system of equations

{-7z-z=-11} {x-z=5}

Solve the system of equations

z = -3

x= 2

Substitute the given value of z, x into the equation : -x-3y-3z = 16

-2-3y-3x(-3)= 16

Solve for Y

y= -3

Due in 3 mins !! 3 questions Triangle ABC, is rotated 90° counter clockwise about the origin to make triangle A'B'C. Drag and drop the coordinates to describe the transformation !! ( picture!)

Answers

Answer:

A'=(3,-2) B'=(-1,-4) C'=(-5,-3)

Step-by-step explanation:

90 degrees counterclockwise uses (-y,x) so you just plug in the negative y value in the x spot and the x value in the y spot

0.0508 written in 2 significant
figures is?​

Answers

0.05

0.0008

i think this is what u are talking about right

if not im srry i don't now

A jeweler has a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 20 grams. How much gold, in grams, would it take to make 7 bracelets and 9 necklaces? How much gold, in grams, would it take to make b b bracelets and n n necklaces?

Answers

Jsncosmaoakxodnwi m jekskso

Test your PEMDAS

6+8/2(2+2)

This one is tricky

Answers

Answer:

6+8÷2×4

6+16

=22

Step-by-step explanation:

add the numbers

calculate the new expression

add the numbers

Answer: hint use pemdas

Step-by-step explanation:

Who runs faster Mary or Beth?

Answers

Answer:

You have to add a picture to the question but for guessing im just say mary lol

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