MATHEMATICS MIDDLE SCHOOL

Point M lies between points L and N on Line segment L N .The space between L and M is 10 x + 8. The space between M and N is 5 x minus 4.
If LN = 12x + 16, what is the length of Line segment L N in units?

16 units
40 units
48 units
64 units

Answers

Answer 1
Answer:

Answer:

64 units

Step-by-step explanation:

Given:

Point M lies between points L and N on Line segment LN.

Length of segment LM is given as =10x+8

Length of segment MN is given as =5x-4

Length of segment LN is given as =12x+16

From the information given we can conclude that the points L,M and N ar co-linear and

LM+MN=LN     [ Segment addition postulate as M lies in between L and N]

Substituting the values given to find x.

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

Combining like terms.

15x+4=12x+16

Subtracting both sides by 12x

15x+4-12x=12x+16-12x

3x+4=16

Subtracting both sides by 4.

3x+4-4=16-4

3x=12

Dividing both sides by 3.

(3x)/(3)=(12)/(3)

∴ x=4

Length of segment LN can be found out by substituting x=4 in the expression for segment.

⇒ 12(4)+16

⇒ 48+16

⇒ 64

Length of segment LN = 64 units (Answer)
Answer 2
Answer:

Answer:

64

Step-by-step explanation:

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Answers

Time spent babysitting by Lucy = Tl = 4 hours

Time spent babysitting by Maria = Tm = x * 4 hours

Now we need to determine for what values of x is Tm > Tl

⇒ x * 4 > 4

⇒ x > 1

So for x > 1, Mary spends more time babysitting than Lucy does

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Answers

When understanding ratios, we need to know that it compares two quantities.

Remember this:- A ratio does NOT include units. It only compares two quantities.

Three ways to write a ratio:-

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Mrs. Dimas has $130 to buy basketballs for Edison Middle School

Answers

Mrs. Dimas has $130 to but basketballs for Edison Middle School. How many can she buy at $15 each? interpret the reminder

you can't go over budget

cost=cost per backetball times number of basketbals
cost=15 times b
cost≤130
15b≤130
divide both sides by 15
b≤8 and 10/15
b≤8 and 2/3
round down because you can't buy 2/3 basketball

buy 8
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Answer:

8$

Step-by-step explanation:

Please solve both questions.

Answers

Salad and pbj: 24 students
Turkey sandwich and school lunch: 30 students
30
-
24
---------
6

9 is ¼ of what number

Answers

of in mathematics means multiplication
is means the equal sign
lets call out number 'n'
so we have

9 = (1/4)n
9 x 4 = (1/4) x 4 x n
36 = n

so n equals to 36

Help fast What is the area of the trapezoid? [A = 1 /2 (b1 + b2)h] A 1249.5 B162.75 C 105 D 38.75

Answers

Answer:

C

Step-by-step explanation:

What you do is based off the formula. a=1/2(24+18)5=105. C is your answer.

Answer:

area = b1+b2/2 *h

let b1 +24

let b2 = 18

H =5

24+18/2 *5

Area = 105

Step-by-step explanation:
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