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goblinko [34]
2 years ago
12

The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve

for the dimensions (length and width) of the poster.
Mathematics
2 answers:
irinina [24]2 years ago
8 0

Answer:

<u>Width = 7 inches</u>

<u>Length = 23 inches</u>

Step-by-step explanation:

Let :

  • length = 2x + 9
  • width = x

Equating to area :

  • (2x + 9)(x) = 161
  • 2x² + 9x = 161
  • 2x² + 9x - 161 = 0
  • 2x² - 14x + 23x - 161 = 0
  • 2x(x - 7) + 23(x - 7) = 0
  • x - 7 = 0
  • x = 7

Dimensions are :

  • <u>Width = 7 inches</u>
  • Length = 2(7) + 9
  • <u>Length = 23 inches</u>
BaLLatris [955]2 years ago
7 0

Answer:

Length: 23 inches

Width: 7 inches

Explanation:

  • Width: w
  • Length: 2w + 9
<h3>Area of rectangle: Length × Width</h3>
  • (2w + 9) × (w) = 161
  • 2w² + 9w - 161 = 0
  • 2w² + 23w - 14w -161 = 0
  • w(2w + 23) -7(2w +23) = 0
  • w = 7, -11.5

As <u>length measure cannot be negative</u>. Width is +7 inches

Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23

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Can someone help me with all 3
monitta

Answer:

1) 20

2) 60

3) 10

4) 90

Step-by-step explanation:

1. first quartile is the beginning of the box

2. third quartile is the end of the box

3. lowest is the first point of the graph

4. vice versa of 3

6 0
3 years ago
A certain store sells small, medium, and large toy trucks in each of the colors red, blue,green, and yellow. The store has an eq
salantis [7]

Answer:

The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Step-by-step explanation:

Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:

3 sizes

4 colors

4 x 3 = 12

4 midsize cars

3 red cars

1 medium red car

4 + 3 - 1 = 6

6/12 = 0.5

Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

6 0
3 years ago
Sal made 8 ft of sausage links on Friday morning. He used 4 ft for dinner service on Friday night. On Saturday morning, he made
oee [108]

Answer:

Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft

Step-by-step explanation:

Amount of  sausage links made on Friday morning = 8 ft

Amount of  sausage links used on Friday night = 4 ft

Amount of  sausage links remaining = 8 - 4 = 4ft           (i)

Amount of  sausage links made on Saturday morning = 8 ft         (ii)

So,

Total amount of  sausage links = 8 + 4 = 12 ft   (from (i) and (ii) )

Amount of  sausage links used on Saturday night = 12 ft

Amount of sausage links remaining = 12 - 12 = 0 ft

Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft

8 0
3 years ago
There is a competition in the cinema to win free tickets. You must guess the ages of the four employees. Here are the clues: - W
jenyasd209 [6]

Answer:

Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old.

Step-by-step explanation:

Let k be Kirk's age.

Let b be Brian's age.

Let m be Matt's age.

Let m_{1} be the boss/manager's age.

From the information given, we can set up 4 equations:

k+b+m+m_{1}=106

k=2(m_{1}-10)

b=2m_{1}-12

m=\frac{1}{2}m_{1}+6

Rewrite the first equation, substituting k, b, and m in terms of m_{1} to get:

2(m_{1}-10)+(2m_{1}-12)+(\frac{1}{2}m_{1}+6)+m_{1}=106

Open up the parentheses using the distributive property (which is a(b-c)=ab-ac) and combine like terms to get:

5.5m_{1}-26=106

Add 26 to both sides to reach:

5.5m_{1}=132

Thus, m_{1}=24. Substitute 24 for m_{1} in the second, third, and fourth original equations to find that k=28, b=36, and m=18. Therefore, Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old. To check, you can add up all of the ages to get 106.

Hope this helps :)

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I believe it is $40 in all.
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