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

what is the answer or solution-15-3p=6

Answers

Answer:

P = - 7

Step-by-step explanation:

To solve we must put all the literals (letters) on one side of the operation and all the free numbers on the other. To do this we are going to do the same operations on both sides of the equal sign

- 15 - 3p = 6

So, we are going to add 15 on both sides

- 15 - 3p + 15 = 6 + 15

- 3p = 21

We are goint to divide everything by -3

-3p/-3 = 21/-3

It result:

p = -7

We check as follows:

We are going to replace the unknown (p) by the value we gave it already (-7)

-15 - 3(-7) = 6

-3 × -7 = +21

-15 + 21 = 6

6 = 6

we have the correct result

PLZ HELP!
Solve.

{5x+y=24x+y=4

Use any method.


( -3, 17)

(-2, 12)

(0, 2)

( 1, -8)

Answers

Answer:

i got (5,-1)

Step-by-step explanation:

which obviously is not an option but that should be it if I read the question right. it was 5x+y=24 and x+y=4, right?

Answer:

(-2,12)

Step-by-step explanation:

just did the test

23.]
You want to buy a $
\
200,000 home. You plan to pay 10% as a down payment, and
take out a 30 year loan for the rest.

Answers

Answer:

After putting the 10% down or $20,000, you will need a loan for $180,000. What interest rate do you have for the 30 years?

I need help with my Math for college readiness

Answers

Answer:

I can help what do you need.

Step-by-step explanation:

Where’s the question?

PLEASE HELP THE INFO IS IN THE PICTURE

Answers

Answer:

(g-h)(x) = -x^3 - 4x - 2, so the answer is D.

Step-by-step explanation:

(g - h) = -x^3 - 2 - 4x

(g-h)(x) = -x^3 - 4x - 2

What is the volume of a sphere with a radius of 9 inches?

108π cubic inches
242π cubic inches
642π cubic inches
972π cubic inches

Answers

Answer:

The answer is 972π cubic inches.

Answer:

972

Step-by-step explanation:

Can someone explain this and help

Answers

Answer:

x = 43

Step-by-step explanation:

since the line is parallel, there are a few relationships that goes on in between the parallel lines with the angles formed by the third line (the third line is known as a transversal)

the two angles shown are same side interior angles because they are on the same side of the transversal and on the inside of the parallel lines

same side interior angles always add up to 180 since, if you put them together, they would form a straight angle

so we can set the equation to x + 27 + x + 67 = 180

add like terms: 2x + 94 = 180

subtract 94 from 180: 2x = 86

divide both sides by 2: x = 43

Someone pls help I just need this one

Answers

Answer:

the words are not that clear

A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin. How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?

Answers

Answer:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

Step-by-step explanation:

Let the number of pounds of hamburger meat = x

the number of pounds of ground sirloin = y

How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?

x + y = 75...... Equation 1

x = 75 - y

A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin.

$2.75 × x + $4.50 × y = 75 × $3.24

2.75x + 4.50y = 243

We substitute 75 - y for x

Hence,

2.75(75 - y) + 4.5y = 243

206.25 - 2.75y + 4.5 y = 243

Collect like terms

- 2.75y + 4.5 y = 243 - 206.25

1.75y = 36.75

y = 36.75/1.75

y = 21 pounds

Note

x = 75 - y

x = 75 - 21

x = 54 pounds

Therefore:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

Barton building supplies sword 44 tons of gravel on Saturday and 80 tons of gravel on Sunday. Which amount is closest to the percent increase of gravel from Saturday to Sunday?

Answers

Answer:

I think its 128

Step-by-step explanation:

i need help please can someone help

Answers

Answer:

1000, 0, 0, 1.

Step-by-step explanation:

MARK ME BRAINLIEST.

HELP ME!

CHOOSE CORRECT ANSWERS!

Answers

Is this algebra 1 or 2....

Please help me what is the increasing interval more than one answer

Answers

Answer: First and second

Step-by-step explanation: I took the test and aced it so i hope this helped!

Which of the following are the Multiples of 6? *
O 1,2,3,6
O 1,2,4,6
O 6, 12, 18, 24
0 2,4,6,8

Answers

Answer:

it is b

Step-by-step explanation:

C) 6, 12, 18, 24 is the answer

what is the scale factor from figure a to figure b?​

Answers

Answer:

4

Step-by-step explanation:

Top side: 10x _ = 40

Left side: 18x _ = 40

Right side: 11x _ =44

All the blanks can be answered with 4. Therefore, your answer is 4.

Hope this helps!

-AxekickNebulite

What is the difference between the LCM and the GCF of two numbers? Give an example. i need it described and example im desprate

Answers

Answer:

The least common multiple (LCM) of two numbers is the smallest number (excluding zero) that is a multiple of both of the numbers. ... The greatest common factor of two (or more) numbers is the product of all the prime factors the numbers have in common.

You can deliver 261
newspapers in 3 hours. How
many newspapers can you
deliver in 8 hours?

Answers

Answer:

261÷3=87

87×8=696

Step-by-step explanation:

Answer:

696 in 8 hours

Step-by-step explanation:

You would start by dividing 261 by three to see how many you can deliver in just one hour, which would be 87 newspapers. Then you would times your solution by 8, which is the hours, and you would get 696 newspapers. :)

long division of 7/20​

Answers

0 .35 Arr u joking u could have just googled it

HELP QUICK 50 POINTS!!!


Drag each tile to the table to
multiply each row heading by
each column heading.
25t
-160
20t2
-20
5t
-4
4t
5

Answers

Answer:

Step-by-step explanation:

            5t      -4

4t.       20t².   -16t

5.        25t.     -20

multiply numbers with numbers and variables with variables

can i get some help on this please​

Answers

Answer:

D

Step-by-step explanation:

This is the only case where only a simple a addition must be made.

could someone help me with my recent asked questions? I really do need the help, but a lot of people don't take it seriously. Thank you :)

Answers

what do you need help with

Answer:

Sure

Step-by-step explanation:

Factorise x^2 + 7x - 78 = 0

Answers

X=6 and x=-13 is the correct answer:)

I know it isn’t congruent but how do I explain the reasoning? help ?

Answers

They are congruent because the angles are all the same for the one on the left the angles are 79° 43° and 58° and the triangle on the right the angles are 79° 43° and 58° you can say they are confident because of AA (Angle Angle) theorem which means that 2 angles are congruent which means both of the triangles are congruent.

(
1
×
10
6
)

(
9
×102)

Answers

Answer:

-812

Step-by-step explanation:

(1×106)-(9×102)

106-918

-812

The Key Club is having a fundraising dinner for charity. The venue that holds a maximum of 500 people will
cost $1000 and it costs $20 per person for the food. The two charity representatives get to attend for free.
Write an inequality and then determine how many people must come to keep costs at most $25 per person.

Answers

Answer:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25[/tex]

Minimum 200 people other than the 2 charity representatives.

Step-by-step explanation:

Given that:

The venue can hold a maximum of 500 people.

Cost of venue = $1000

Per person cost for food = $20

Two charity representatives get to attend the dinner for free.

To find:

The inequality and to determine how many people must come to keep costs at most $25.

Solution:

Let the number of people attending the dinner = [tex]x[/tex]

Cost of food for [tex]x[/tex] people = [tex]\$20x[/tex]

Total cost = $1000 + [tex]\$20x[/tex]

Cost per person = Total cost divided by Number of people attending the dinner.

As per question statement:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200[/tex]

Therefore, the answer is:

Minimum 200 people other than the 2 charity representatives should attend the dinner.

A number added to 12 and then subtracted by 18 equals 26. what is the number?

Answers

Answer:

it would be 32. you would take your 26 and add 18 then subtract the 12.

Step-by-step explanation:

hope this helps

Answer:

32

Step-by-step explanation:

x+12-18=26

Subtract the numbers 12 and 18

x-6=26

Add 6 to both sides of the equation

x-6+6=26+6

Simplify- Add the numbers thus getting x=32

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

Answers

Answer:

The first term is:

[tex]a_1=-61[/tex]

Step-by-step explanation:

The arithmetic sequence is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

where

[tex]a_1[/tex] is the first term

[tex]d[/tex] is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. [tex]a_{17}=51[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_{17}=a_1+\left(17-1\right)d[/tex]        

[tex]51=a_1+\left(17-1\right)7[/tex]         ∵ [tex]n = 17[/tex], [tex]a_{17}=51[/tex] , [tex]d=7[/tex]

[tex]a_1+112=51[/tex]                   ∵ [tex]\left(17-1\right)\cdot \:\:7=112[/tex]

[tex]a_1=-61[/tex]

Therefore, the first term is:

[tex]a_1=-61[/tex]

Someone help plsss *giving BRAINLIEST*

Find the value of x

Answers

Answer:

x = 33

Step-by-step explanation:

(33) + (3 · 33) + (33+15) = 180

Answer:

I=69 t=207 h=84

Step-by-step explanation:

X+3x+(x+15)=360

Combine like terms

5x+15=360

Subtract 15 from both sides

5x=360-15

5x=345

Divide by 5

X=69


2. She needs 4.5 ounces of crickets for each snake. How many ounces of
crickets are needed if the number of snakes is:
a. 10
b. 6
C. X

Answers

Answer:

a. 45 ounces

b. 27 ounces

c. 4.5x ounces

Step-by-step explanation:

a. 4.5(10) = 45

b. 4.5(6) = 27

c. 4.5(x) = 4.5x

Item 11 A store sells 2 printers for every 5 computers. The store sells 40 computers. How many printers does the store sell?

Answers

It’s 16 cause 8x2=16

Answer:

16

Step-by-step explanation:

Multiply 8x2 and then you will get 16.

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