A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.

Answers

Answer 1

Answer:

Width of rectangular piece = x = 8 inches

Step-by-step explanation:

Perimeter of rectangular piece = 62 inches

Let width of rectangular piece= x

and length of rectangular piece = x+15

We need to find width i.e value of x

The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]

Putting values in formula and finding Width:

[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]

After solving we get value of x = 8

So, Width of rectangular piece = x = 8 inches


Related Questions

Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.

Answers

Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10

Step-by-step explanation: don't know just trying to help

Which expressions give the monthly pay of an employee with 33 hours of training

Answers

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Answers

Answer:

y=22.1

Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.

17 x 1.3=22.1

22.1=y

Step-by-step explanation:

the person above me is correct you can mark them brainliest

what is the coeffcients of 3m + 5 = 1

Answers

The coefficient is 3m
A coefficient is a number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1. Example: x is really 1x.

So the coefficient of your question is 3

Hope this explanation helps you :D

At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?

Answers

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

HELP PLEASE !!!!!!!!!

Answers

Answer:

I believe it would be the first option

Can anyone help its due in 10 minuets!

Answers

Answer:

x=30⁰

Step-by-step explanation:

4x-55+3x+25=180

7x-30=180

7x=210

x=30⁰

Proof

3(30)+25=115

4(30)-55=65

115+65=180⁰

- 20y - 7x = -14
10y - 2x = -4

Answers

Answer:

(2, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-20y - 7x = -14

10y - 2x = -4

Step 2: Rewrite systems

10y - 2x = -4

Subtract 10y on both sides:                    -2x = -10y - 4Divide -2 on both sides:                          x = 5y + 2

Step 3: Redefine systems

-20y - 7x = -14

x = 5y + 2

Step 4: Solve for y

Substitution

Substitute in x:                              -20y - 7(5y + 2) = -14Distribute -7:                                 -20y - 35y - 14 = -14Combine like terms:                     -55y - 14 = -14Add 14 on both sides:                  -55y = 0Divide -55 on both sides:            y = 0

Step 5: Solve for x

Define original equation:                    10y - 2x = -4Substitute in y:                                     10(0) - 2x = -4Multiply:                                                0 - 2x - 4Simplify:                                                -2x = -4Divide -2 on both sides:                      x = 2

Step 6: Graph systems

Check solution set and systems.

Jack bought a new boat for $36,000. The value of the boat continuously

depreciates at a rate of 15%. Find the value of the boat after 5 years.

a. $17,005

b. $7,621

c. $7,240

d. $4,140

Answers

Answer:

$15973.4

Step-by-step explanation:

The formula for depreciation is:

a(1 - r)^t

a = Initial value =$36,000

r = depreciation rate = 15% = 0.15

t = time in years = 5 years

The depreciation value = $36000 × (1 - 0.15)⁵

= 36000(0.85)⁵

= $15973.39125

Approximately = $15973.4

The value of the boat is $15,973 after 5 years.

Given that,

New boat cost is (A)  $36,000.Depreciation rate is (r) 15%.We need to find the value of boat after (t) 5 years.

According to the scenario, computation of the given data are as follows,

Value of boat = [tex]A (1 - r )^{t}[/tex]

By putting the value, we get

Value = [tex]36,000(1 - 0.15)^{5}[/tex]

= [tex]36,000(0.85)^{5}[/tex]

= 36,000 [tex]\times[/tex] 0.4437053125

= $15,973.4  or $15,973

Learn more: https://brainly.com/question/4557688

when given an equation were is m located dealing with slope

Answers

Answer: M is attached to x

Step-by-step explanation:

The equation in standard form is y = mx +b

m is attached and is modifying the value of x

Using f(x) =x^2/3-2, determine if each statement below is true or false. Show the work that justifies your answer. The statements are A. F(6)=f(-6) B. F(6)=2 • f(3)

Answers

Answer:

[tex]f(6) = f(-6)[/tex] --- True

[tex]f(6)=2 * f(3)[/tex] --- False

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2}{3} - 2[/tex]

Solving (a): f(6) = f(-6)

First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(6) = \frac{6^2}{3} - 2[/tex]

[tex]f(6) = \frac{36}{3} - 2[/tex]

[tex]f(6) = 12 - 2[/tex]

[tex]f(6) = 10[/tex]

Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]

[tex]f(-6) = \frac{36}{3} - 2[/tex]

[tex]f(-6) = 12 - 2[/tex]

[tex]f(-6) = 10[/tex]

We have that:

[tex]f(6) = f(-6) = 10[/tex]

Hence, the statement is true

Solving (b): [tex]f(6)=2 * f(3)[/tex]

We have that:

[tex]f(6) = 10[/tex]

Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(3) = \frac{3^2}{3} - 2[/tex]

[tex]f(3) = \frac{9}{3} - 2[/tex]

[tex]f(3) = 3 - 2[/tex]

[tex]f(3) = 1[/tex]

[tex]2 * f(3) = 2 * 1[/tex]

[tex]2 * f(3) = 2[/tex]

So:

[tex]f(6)=2 * f(3)[/tex]

[tex]10 \neq 2[/tex]

Hence, the statement is false

i'll mark you has brainliest​

Answers

Answer:

x-1=y

Step-by-step explanation:

Is this what you need?

You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .

Answers

Given:

The volume of the rectangular prism is

[tex]V=4x^3+5x^2-32x-33[/tex]

Two dimensions are (x+1) and (x+3).

To find:

The missing dimension.

Solution:

We know that, volume of a rectangular prism is

[tex]V=length\times breadth\times height[/tex]

It means, volume of a rectangular prism is the product of all dimensions.

We have,

[tex]V=4x^3+5x^2-32x-33[/tex]

Splitting the middle terms, we get

[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]

[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]

[tex]V=(x+1)(4x^2+x-33)[/tex]

Splitting the middle term, we get

[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]

[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]

[tex]V=(x+1)(x+3)(4x-11)[/tex]

So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).

Therefore, the missing dimension is (4x-11).

Answer:

the missing dimension is (4x-11).

Please Rate 1-10, Then also add what your favorite one is.

Answers

Answer:

first one

Step-by-step explanation:

first one 10/10

2nd ome 9.6/10

I like the first one better

Answer:

2 one is my favorite

Step-by-step explanation:

1 , 9

2, 10

3, 8

4, 5

5, 1

Use the Distributive Property to Expand the Expression
1) 8 ( b + 5 )

Answers

Answer:

8b + 40

Step-by-step explanation:

8( b + 5 )

8×b + 8×5

8b+40

raised the points, please please help me out

Answers

Answer:

Where is the question?

pleaseee helpppp!!!!

Answers

Answer:

Substitute the given value into the function and evaluate.

2 x 3 + 7 x 2 − 4 x − 15

Step-by-Step Process

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

4/3 all I can tell u

A bicycle has a listed price of $811.98 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

Step-by-step explanation:

811.98*7.5%= 60.898

811.98+60.898= 872.787 round to $872.79

Answer:

$872.88

Step-by-step explanation:

811.98 x 7.5%= 811.98 x 0.075

811.98 x 0.075= 60.90

811.98+60.90= 872.88

How would you graph the solution set of x + 4 > -9?

Answers

Answer:

x>-5

Step-by-step explanation:

-9 - -4 =-5

x>-5

Graph from Number Line ↝

x + 4 > -9

x + 4 + 9 > 0

x + 13 > 0

x > -13

↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)

a large candy bar was 116 calories. the smaller candy bar was 28% less calories. how many calories does the smaller candy bar have?

Answers

Answer: 83.52 calories

Step-by-step explanation:

first candy bar=116 calories

second candy bar= has 28% less calories

to find out the answer we will 28/100=0.28

116x0.28=32.48 calories(less)

116-32.48=83.52 calories for the second candy bar

I need help ion fully know what to do

Answers

For the first half; 2 is corresponding, 3 is alternate interior, 4 is alternate exterior, 5 is corresponding and 6 is alternate interior. As for the second half; 7 is 55 degrees, 8 is 145 degrees, 9 is 35 degrees, and 10 is 55 degrees.

Tori is sending a birthday gift to her friend out of state and wants to know how much brown paper she will need to
cover the box.
8 in
10 in.
14 in
Which statement is true about the amount of paper Tori will need to cover the entire box?
O Covering the entire box is the surface area, which is 664 in.?.
O Covering the entire box is the surface area, which is 1,120 in.?
O Covering the entire box is the volume, which is 664 in.3.
O Covering the entire box is the volume, which is 1,120 in.?.

Answers

Answer:

A. Covering the entire box is the surface area, which is 664 in.

Step-by-step explanation:

I did the test myself. Have a great day/night! Good luck with the rest of your test! <3

The information is in the picture PLEASE HELP ME

Answers

Answer:

The answer is C

Step-by-step explanation:

n^3+4n = 4n+5

n^3+4n + 4n+5

n^3+8n+5

A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.

What is the cost of a 3-mile ride?
$1
$10
$12
$14

Answers

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

What is the inequality for the graph [-7,3], [0,-4]

Answers

Answer:

[45]

Is the answer................

what is the value of x
1. 124
2. 62
3. 112
4. 68
explain why the answer is correct ​

Answers

Answer:

3.112 because 56+56=112

Answer:

The answer is 4. 68

Step-by-step explanation:

since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180

x=180-112

x=68

the question is on then sheet ​

Answers

Answer:

6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6

Step-by-step explanation:

PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!

[tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]

[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]

[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]

[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]

The other person is wrong

I can say that for sure.

HELP PLSSSSSSSSSS:( DUE SOON

Answers

Answer:

3) x = 21.33

4) x = 33

5) x = 11

Step-by-step explanation:

3: (3x + 17) + (x + 40) + (2x - 5) = 180

6x + 52 = 180

6x = 128

x = 21.333...

4: 180 / 3 = 60

3x - 39 = 60

3x = 99

x = 33

5: 90 + (6x + 7) + (2x - 5) = 180

8x + 2 = 90

8x = 88

x = 11

Add 15.438 and 3.18. And subtract that answer from 32.476.

Answers

Answer:

-13.858 !!!

Step-by-step explanation:

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