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balu736 [363]
3 years ago
10

Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equatio

n to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.
Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

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M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.
raketka [301]

Answer:

LM = 1.5

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Step-by-step explanation:

From the question given:

M is the midpoint of LN

LM = 3x

LN= 2x + 2

LM =.?

Next, we shall determine the value of x. This is illustrated below:

Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e

LN /2 = LM

With the above formula, we can obtain the value of x as follow:

LN= 2x + 2

LM = 3x

x =..?

LN /2 = LM

2x + 2/ 2 = 3x

Cross multiply

2 × 3x = 2x + 2

6x = 2x + 2

Collect like terms

6x - 2x = 2

4x = 2

Divide both side by 4

x = 2/4

x = 0.5

Finally, we can obtain LM and LN as follow:

LM = 3x

x = 0.5

LM = 3 × 0.5

LM = 1.5

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LN = 2(0.5) + 2

LN = 1 + 2

LN = 3

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3 years ago
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Answer:

hmmm

Step-by-step explanation:

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I would guess it would be
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Sarah has $1000 in the bank. she took out $50 to buy supplies. What percentage of savings did she take out?
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Plug in what we know:

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