The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than the width, what is the length of the screen, in feet?

Answers

Answer 1

The perimeter of a rectangle = 2(l + w)

l = length

w = width

In this problem,

w = x

l = x + 30

the perimeter = 148

Let's plug our values into the perimeter formula above.

148ft = 2(x + x + 30ft)

Combine like terms.

148ft = 2(2x + 30ft)

Distribute the 2

148ft = 4x + 60

Subtract 60 from both sides

88ft = 4x

Divide both sides by 4

22ft = x

The width = x = 22ft

The length = x + 30 = 22 + 30 = 52ft


Related Questions

-6(3 + x) + 2(3x + 5) = 0

Answers

Answer:

No solution

Step-by-step explanation:

Step 1: Write equation

-6(3 + x) + 2(3x + 5) = 0

Step 2: Solve for x

Distribute: -18 - 6x + 6x + 10 = 0

Combine like terms: -8 ≠ 0

∴ No solution

No answer

Step-by-step explanation:

-6(3+x) Multiply -6 by 3=-18. -18+-6x     2(3x+5) 6x+10

(-18+-6x) + (10+6x) = (-8 = 0).

What is the equation shown in standard form of the line shown on the graph?
O x = 4
O y = 4
O x - y = 4​

Answers

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Because no matter what value x is, y is always 4

Help please its timed​

Answers

Answer:

15

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

2² + 6(3) - 7

Step 2: Evaluate exponents

4 + 6(3) - 7

Step 3: Evaluate parenthesis (multiply)

4 + 18 - 7

Step 4: Add

22 - 7

Step 5: Subtract

15

If 15 books cost $90, what is the unit price?

Answers

Answer:

$6/ book

Step-by-step explanation:

Unit price = Total cost/ total number of items

                = 90/15

                =$6 per book

$6
explanation: 6*15 is 90

What is the solution of the following quadratic inequality?

9x – x2 > 18

(3, 6)
[3, 6]
(−∞, 3) ∪ (6, ∞)
(−∞, 3] ∪ [6, ∞)

Answers

Answer:

(3,6)

Step-by-step explanation:

well it's parentheses because it is not equal to.

and it shouldn't have infinity signs because they both have stopping points

Answer: A

(3, 6)

Step-by-step explanation:

(5x+2)/8=x/6 what value will make it true??

Answers

X should equal -6/11 if I read the equation right

Answer:

-6/11 =x

Step-by-step explanation:

We can use cross products to solve

(5x+2)/8=x/6

6 ( 5x+2) = 8x

Distribute

30x + 12 = 8x

Subtract 30x from each side

30x -30x +12 = 8x - 30x

12 = -22x

Divide each side by -22

12/-22 = -22x/-22

-6/11 =x

7(-8)-2y=-52





help....

Answers

Answer: Y = -2

Step-by-step explanation:

7(-8) -2y = -52

-56 - 2y = - 52

- 2y = 4

Y = -2

Answer:

Step-by-step explanation:

x = -8 so replace x with -8.

It should be 7(-8) - 2y = -52

Multiply 7 and -8 you get -56

You are left with -56 - 2y = -52

add -56 on both sides to get it on the other side

You will be left with -2y = 4

Divide by -2y on both sides

You'd get y = -2

ax + b = c for x. is what I want to know

Answers

Answer:

[tex]x=\frac{c-b}{a}[/tex]

Step-by-step explanation:

[tex]ax+b=c\\\\ax+b-b=c-b\\\\ax=c-b\\\\\frac{1}{a}(ax)=\frac{1}{a}(c-b) \\\\x=\frac{c-b}{a}[/tex]

Eric’s kite spool had 100 yards of string. At first, he let out 50 feet of string.Then, the kite rose for another 16 yards. How much string was left on the spool?

Answers

Answer:66

Step-by-step explanation:Eric had 100 at first minus 50 then the kite rose 16 more which equals 66

The number of yards of string left on spool is 34 yards.

Given that, Eric’s kite spool had 100 yards of string.

What is subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

At first, he let out 50 feet of string. Then, the kite rose for another 16 yards.

Now, 50+16=66 yards

So, 100-66=34 yards

Hence, the number of yards of string left on spool is 34 yards.

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The monthly snowfall totals from December 2010 through April 2011 were 22, 38.3, 18.5, 1.3, 0.9.

What was the average monthly snowfall during those months?

Answers

The average snowfall total is 16.2

In order to isolate the variable term in the equation 6 – 2x = –3 using the subtraction property of equality, which number should be subtracted from both sides of the equation?
–3
–2
3
6

Answers

negative 3


hope this helps

Please help

Using the mileage chart below, find the distance between Spearfish and
Madison
sus
Huron
Η
22.223 Mehellye
O A. 191 miles
O B. 45 miles
O C. 123 miles
O D. 390 miles

Answers

B is the answer llllllllllllllllll

The distance between Spearfish and Madison is 390 miles.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a mileage chart.

Assume that the distance between Spearfish and Madison is [x] miles.

Then the point of intersection of Spearfish row and Madison column would give the distance between both of them as 390 miles. So, we can write -

x = 390 miles

Therefore, the distance between Spearfish and Madison is 390 miles.

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1 7/8 x 10/7 x 4 I need help answering this its confusing

Answers

Answer: 75/7

Step-by-step explanation:

Concept:

Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.

Solve:

1 7/8= 15/8

 1 7/8 × 10/7 × 4

=15/8 × 10/7 × 4

=150/56 × 4

=600/56

=75/7

The circumference of a circle is 16Pi ft what is the radius

Answers

Answer:

Given circumference (C) = 16

Radius =  

C  =  

2.5464790894703

Diameter =  

C  =  

π

5.0929581789407

Area =  

C2  =  

20.371832715763

Step-by-step explanation:

We've all seen circles before. They have this perfectly round shape.

Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.

Answer:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter

Step-by-step explanation:

A speedboat moves at a rate of 25 km/hr in still water. How long will it take
someone to ride the boat 87 km downstream if the river's current moves at a rate of
4 km/hr?

Answers

3 hours

I hope this helps you

Write the ratio of 4 squares to 3 circles in three different ways.

Answers

Answer:

Using the Word to---- 4 to 3

As a a fraction--- 4/3

As a ratio---- 4:3

Step-by-step explanation:

i think

PLEASE HELP!!! URGENT

Answers

Answer:

scale factor = ratio of corresponding side= 0p/xy = 4/10= 2/5

∠x = 58

∠y= 180-49-58= 73

Step-by-step explanation:

Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,
determine the numerical length of RS

Answers

Answer:

2

Step-by-step explanation:

The required measure of the numerical length of RS is 4.

Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.

What is line?

A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.

Here,

Point S is on line segment RT
The total length of RT,

RT = RS + ST
4x = 4x - 4 + 2x
4x  = 6x - 4
2x = 4
x = 2

RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4

Thus, the required measure of the numerical length of RS is 4.

Learn more about lines here:

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Determine the 18th term of the sequence 3,9,27,...

Answers

Answer:

[tex]x_{18}=387420489[/tex]

Step-by-step explanation:

So we have the sequence:

3, 9, 27...

First, note that this is a geometric sequence because each subsequent term not increasing linearly.

To find the 18th term, we can write an explicit formula.

The standard explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:

[tex]x_n=3(3)^{n-1}[/tex]

To find the 18th term, substitute 18 for n. So:

[tex]x_{18}=3(3)^{18-1}[/tex]

Subtract:

[tex]x_{18}=3(3)^{17}[/tex]

Evaluate:

[tex]x_{18}=3(129140163)[/tex]

Multiply:

[tex]x_{18}=387420489[/tex]

And we're done!


What number is 40% of 30?
Input only whole numbers.
Numerical Answers Expected!
Answer for Blank 1:

Answers

Answer:

12

Step-by-step explanation:

40/100*30

=12

Answer:

12..

Step-by-step explanation:

off topic but broski i think we're in the same school program?

A _________ is used to change one unit to another?

Answers

Answer:

conversion factor

Step-by-step explanation:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

Find the measure of x

Answers

where’s the picture or more details?

Help...giving 20 points (number 3 nothing else)

Answers

Answer:

see below

Step-by-step explanation:

[tex](\frac{7}{2} )^{4} =\frac{7^4}{2^4}=\frac{2401}{16}[/tex]

[tex](7*2^3)^3=7^3*2^{3*3}=343*2^9=343*512=175616[/tex]

[tex](7^2)(7^2)=7^{2+2}=7^{4}=2401[/tex]

[tex](7^2)(7)^0=7^{2+0}=7^2=49[/tex]

[tex](\frac{7}{2}) ^{-4}=\frac{7^{-4}}{2^{-4}}=\frac{2^{4}}{7^4} =\frac{16}{2401}[/tex]

[tex]\frac{7^6}{7^3} =7^{6-3}=7^{3}=343[/tex]

i don't know if you need all the numbers if you don't copy till when it has the exponents

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

How can right triangles be similar based on their angles?

Answers

Answer:

a right triangle has at lease on 90 degree angle

Step-by-step explanation:

Answer:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Step-by-step explanation:

i got 100% on edg. hope this helps!

Which figure is described below?

Answers

Answer:

Answer option "A" : line.

Step-by-step explanation:

The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.

Therefore the answer option "A" is the correct one.

can I get an answer please ​

Answers

Answer:

the first one.

I need help with this question

Answers

your equation I believe would be
x = (1056.5 - 470)/ 69
Explanation:
First you would need to find how much money was charged for labor, so you needed to subtract 470 from the total.
Second, once you find the amount charged for labor, you would need to divide the hourly rate by that number. That would give you the number hours.

Factor mn+7n−m−7 by grouping.

Answers

Answer:

[tex]\left(m+7\right)\left(n-1\right)[/tex]

Step-by-step explanation:

[tex]mn+7n-m-7[/tex]

[tex]\left(mn+7n\right)+\left(-m-7\right)[/tex]

[tex]n\left(m+7\right)-1\left(m+7\right)[/tex]

[tex]\left(m+7\right)\left(n-1\right)[/tex]

The factors of given polynomial is (m+7)(n-1).

What is factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given polynomial is mn+7n-m-7.

By grouping method we can factorize the given polynomial

Here, (mn+7n)-m-7

= n(m+7)-1(m+7)

= (m+7)(n-1)

Therefore, the factors of given polynomial is (m+7)(n-1).

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Martin spent $68 on a new drone that he had been saving for. Now, he has
$41 left in his savings jar. Click the equation that could be used to find the total
of his savings, s, before he bought the drone,
S + 68 = 41
S - 68 = 41
68
68 - s = 41
= 41
How many dollars did Martin have saved before he bought the drone?
dollars

Answers

Answer:

The answer is 109

Step-by-step explanation:

i'm too lazy to explain the math but that's the answer

enter an inequality that represents the graph
PLEASE HELP QILL GIVE BRAINLIEST

Answers

For this question your answer would be y >_8x-8. y is greater than or equal to eight x minus eight
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