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Maru [420]
2 years ago
10

What is the answer for this problem I need help!

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
8 0

Answer:

x = 6 cm

Step-by-step explanation:

We can write equations for length and width using the information given:

length = 2 + x

width = 2x - 5

Area = (length)(width) = 56

Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x

Simplifying:

Area = 2x² - x - 10 = 56

2x² - x - 66 = 0

Factoring:

(2x + 11)(x - 6) = 0

x = 6, -11/2

We choose the positive number: x = 6 cm

To check, plug in 6 for x:

Area = (2 + x)(2x - 5) = 56

(2 + 6)(12 - 5) = 56

(8 × 7) = 56

56 = 56

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Solve the proportions:
IRINA_888 [86]

<u>Answer:</u>

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<h3>_______________________________</h3>

<u>- Question 7 -</u>

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
  • => x/18 = 8/6 + 1/6
  • => x/18 = 9/6
  • => x = 9/6 x 18
  • => x = 27

Hence, <u>the value of x is 27</u>

<h3>_______________________________</h3>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<h3>_______________________________</h3>

<u>- Question 9 -</u>

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, <u>the value of x is 49.</u>

<h3>_______________________________</h3>

Hoped this helped.

3 0
2 years ago
One and three seven divided by two
Vladimir [108]

Answer:

0.7 or 5/7

Step-by-step explanation:

(1 3/7) ÷ 2 =

8 0
3 years ago
If a number is first doubled then decreased by six and the result is eight, what is the number?
vlada-n [284]

Answer:

7

Step-by-step explanation:

2n - 6 = 8. Simplified version is n = 7

7 0
3 years ago
8/9 x 1/12 = simplified
egoroff_w [7]
2/27
 
Hope it helps and please make mine the Brainliest answer!
3 0
3 years ago
Read 2 more answers
Which of these prices is lower that 8 for $10.00?
nika2105 [10]
No options are given. You might have to resubmit you question.
7 0
3 years ago
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