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krok68 [10]
3 years ago
10

Point M lies between points L and N on LN.

Mathematics
2 answers:
disa [49]3 years ago
4 0

Answer:

Option D. LN=64 units

Step-by-step explanation:

step 1

Find the value of x

we know that

LN=LM+MN -----> equation A

we have

LN=12x+16

LM=10x+8

MN=5x-4

substitute the values in the equation A

12x+16=(10x+8)+(5x-4)

Solve for x

12x+16=15x+4

15x-12x=16-4

3x=12

x=4

step 2

Find the value of LN

LN=12x+16

LN=12(4)+16=64 units

balu736 [363]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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Well, if you say nine tenths, you know tenths is the first number after the decimal point. So you would put nine in the tenths spot.
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3 years ago
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Consider the data below. 20, 40, 50, 50, 60, 80, 80, 80 Each value increases by 10. Determine whether each statement is true or
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Answer:

True

True

True.

All the statements are true.

Step-by-step explanation:

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Kindly check the attached file for the workings.

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The ratio of number of boys to the of girls in a school is 5:7. If there are 600 students inthe school, how many girls are there
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Answer:

<u>There are 350 girls in the school.</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the question correctly:

Ratio of number of boys to the girls = 5:7

Number of students in the school = 600

2.  How many girls are there in the school?

Number of girls = x

Number of boys = 5/7x

x + 5x/7 = 600

7x + 5x = 4,200

12x = 4,200

x = 350

<u>There are 350 girls in the school.</u>

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7 0
4 years ago
Solve and check the equation.<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B10%7D%3D%5Cfrac%7B5x%7D%7B7%7D%20-43" id="TexFor
Y_Kistochka [10]

Answer:

x = 70

Step-by-step explanation:

Step 1: Simplify both sides of the equations.

  • \frac{x}{10} = \frac{5x}{7}-43
  • \frac{1}{10}x=\frac{5}{7}x-43

Step 2: Subtract 5/7x from both sides.

  • \frac{1}{10}x- \frac{5}{7}x = \frac{5}{7}x - 43 - \frac{5}{7}x
  • \frac{-43}{70}x = -43

Step 3: Multiply both sides by 70/(-43).

  • \frac{-43}{70}x * \frac{70}{-43} = -43*\frac{70}{-43}
  • x = 70

Step 4: Check if solution is correct.

  • \frac{(70)}{10}=\frac{5(70)}{7}  -43
  • 7 = \frac{350}{7} - 43
  • 7 = 50 - 43
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Therefore, x = 70.

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3 years ago
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A is a 5th degree polynomial.

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