MATHEMATICS MIDDLE SCHOOL

isabel lives 3/4 mile from school, Janet lives 2/3 mile from school how much farther in miles does isabel live from school than Janet?

Answers

Answer 1
Answer:

Isabel lives 1/12 mile farther than Janet from the school.

Given that, Isabel lives 3/4 mile from school, and Janet lives 2/3 mile from the school.

We need to find how much farther in miles does Isabel live from school than Janet.

How to subtract, unlike fractions?

Addition and subtraction of unlike fractions:

Step I: Obtain the fractions and their denominators.

Step II: Find the LCM (least common multiple) of the denominators.

Step III: Convert each fraction into an equivalent fraction having its denominatorequal to the LCM (least common multiple) obtained in Step II.

Now, 3/4-2/3=9/12-8/12

=1/12

Therefore, Isabel lives 1/12 mile farther than Janet from the school.

To learn more about the subtraction of fractions visit:

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Answer 2
Answer: Hey There!

Steps to solve (steps will be in numerical order)

1. Find the lcd of the fractions (3)/(4) and (2)/(3) . The lcd for both problems will be 12.

2. To rewrite (3)/(4) you have to multiply the numerator and denominator by three since the lcd is 12. So you're new fraction will be (9)/(12). For the second fraction, since the lcd is 12 you will multiply the numerator and denominator by 4. You're new fraction will be (8)/(12).

3. Since the problem contains the math keyword "Further", you automatically know you have to subtract, now subtract (9)/(12) - (8)/(12). First, start of by subtracting the numerators, so subtract 9-8=1 , remember the denominators will always stay the same.

In conclusion, you're answer will be (1)/(12), so Isabel lives (1)/(12) farther away from Janet.

Hope This Helps :)

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Simplify:  2^12/2^1   Thank you

Answers

(2^(12))/(2^1)=2^(12-1)=2^(11)
(2^(12))/(2^1)=2^(11)

Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much

Answers

9 bottles of water can buy when cost of each bottle is $4. So, 36 bottles of water for $4 is better option.

Given that, Target sells 24 bottles of water for $3, and 36 bottles of water for $4.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, number of bottles of water = 24 ÷ 3 = 8

36 bottles of water for $4

Here, the number of bottles of water = 36 ÷ 4 =9

Therefore, 9 bottles of water can buy when cost of each bottle is $4. So, 36 bottles of water for $4 is better option.

To learn more about the unitary method visit:

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The better buy would be the 36 bottles of water for 4$ because it would be 9 bottles per dollar other than the 24 which is 8 bottles per every dollar. Hope it helps!

Find two consecutive numbers whose squares differ by 17

Answers

Let

x---------> the first number

x+1------> the second number


we know that

(x+1)^(2) -x^(2) =17\n x^(2) +2x+1-x^(2) =17\n 2x+1=17\n 2x=16\n x=8

so

x=8\n x+1=9


therefore


the answer is

the numbers are

8,9

write a word problem involving money that requires dividing a decimal by a whole number including estimate and a solution

Answers

If you need an example here:

Penny has an allowance of $15.3 after 2 weeks all of her friends had birthdays she wants to spit her 2 weeks of allowance evenly between her 3 friends, how much did each friend get?
jessie has 10.52 dollars
if she wants to split the money evenly between her and her best friend, how much money do each get?
to estimate you can round 10.52 to 10.50 which will get you 5.25 for each person

As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write an inequality for the number of sales you need to make, and describe the solutions.

Answers

Answer:

100 +3s≥ 160

You must sell as least 20 items

Step-by-step explanation:

You make 100 plus 3 dollars per sale

100 +3s

It must be at least 160

100 +3s≥ 160

Now we need to solve to see how many sales

100 +3s≥ 160

Subtract 100 from each side

100-100 +3s≥ 160-100

3s≥ 60

Divide each side by 3

3s/3≥60/3

s≥20

You must sell as least 20 items

What is the simplified value of the expression below?
-8*(-3)
-24

Answers

Answer:

24

Step-by-step explanation:

Multiply −8 by −3 =24

two negatives = a positive answer

a negative and a positive = a negative answer

two positive = positive answer
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