1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ludmilkaskok [199]
3 years ago
15

The length of a rectangular poster is 7 inches more than twice its width. Find the length of the poster if its perimeter is 110

inches.
Mathematics
1 answer:
lakkis [162]3 years ago
6 0
Let W = width of poster 
Since the length is 7 inches longer than the width, the length is represented by W + 7. 
We know the perimeter is equal to twice the length + twice the width and that is 110 inches. Mathematically that looks like: 
2(W + 7) + 2(W) = 110
Now let's solve for W: 

2(w+7)+2w=110

Step 1: Simplify both sides of the equation.

2(w+7)+2w=110

Simplify: (see simplify steps down below)

4w+14=110

Step 2: Subtract 14 from both sides.

4w+14−14=110−14

4w=96

Step 3: Divide both sides by 4.

4w4=964

w=24

Answer:

w=24

Simplify Steps:
(2)(w)+(2)(7)+2w=110(Distribute)

2w+14+2w=110

(2w+2w)+(14)=110(Combine Like Terms)

4w+14=110



You might be interested in
In trying to calculate the product of 5 and 12 in her head, Evie first multiplied 5 times 10 and then added the result to the pr
Pie

Answer:

Step-by-step explanation:

distributive

7 0
3 years ago
A = 9 m, b = 4 m and c = 13 m for the triangle shown below.
maw [93]
The answer is 9 shown below a b c triangle shown below ⬇️
7 0
2 years ago
Set up a System of Equations and Solve
Bumek [7]

Answer:

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

Step-by-step explanation:

Let

x-----> the cost of the ice cream cone

y----> the cost of the ice cream basket

z---> the cost of the donut

we know that

2x+y=12.75 ------> y=12.75-2x ------> equation A

x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B

x+y+z=9.75 ----> equation C

substitute equation A and equation B in equation C and solve for x

x+(12.75-2x)+((7.50-x)/2)=9.75

Multiply by 2 both sides

2x+25.50-4x+7.50-x=19.50

3x=25.50+7.5-19.50

3x=13.5

x=$4.50

Find the value of y

y=12.75-2(4.50)=$3.75

Find the value of z

z=(7.50-4.50)/2=$1.50

therefore

The cost of each ice cream cone is $4.50

The cost of each ice cream basket is $3.75

The cost of each donut is $1.50

6 0
3 years ago
NOTE: CHECK THE PHOTO THIS WILL MAKE MORE SENSE. Lenny,Sonja,Jasper, and Willow play instruments in the school orchestra, and th
OLEGan [10]

Answer:

Number of hours Sonja practiced- n + 3 =11

Number of hours Jasper practiced- n - 2 = 6

Number of hours Willow practiced- 2n = 16

Step-by-step explanation:

hope that helps

6 0
2 years ago
our current account balance is $215. You have $322 of expenses each month. Your income is $444 per month. How long will it take
denis-greek [22]
It would be around 6 months to accumulate $1000 in your account

8 0
2 years ago
Read 2 more answers
Other questions:
  • Steven has a stamp collection with 32 stamps. Only 1/4 of the stamps are from the United States. How many stamps are from the U.
    7·1 answer
  • Because sample means were being tested the ____ is used to calculate the z-score
    6·1 answer
  • (S^2 +r^2)^2<br><br><br> Please show me how you got the answer.
    6·1 answer
  • Solve -x/6 ≥ 3<br><br> A. x ≤ 18<br> B. x ≥ -18<br> C. x ≥ 18<br> D. x ≤ -18
    5·2 answers
  • Morgan started the year with 615 in the Bank Eunice saving $25 per week Kendall started with 975 and is spending $15 per week th
    10·2 answers
  • Select all of the expressions that equivalent to 4 radical 5​
    11·1 answer
  • There are 4 breakfast choices in a school cafeteria: Cereal, Granola Bar, Breakfast Sandwich, and Fruit. The percentage of stude
    13·1 answer
  • 22 quarts of orange juice is available. How many gallons of orange juice is available?
    7·1 answer
  • joy added 26 new contacts to her phone list. She now has a total of 100 contacts. Let c represent how many contacts joy had on h
    8·1 answer
  • Which expression represents the volume of the prism in terms of w, the width of the base? 5w2 cubic units 6w2 cubic units 5w3 cu
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!