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dybincka [34]
3 years ago
7

The distance from Jim's house to the intersection of Thornwood Drive and Holly Drive is given by the expression 15x − 7. The tot

al distance from Jim's house to Adam's house when traveled on Thornwood Drive and Holly Drive is given by the expression 23x − 2. Find a single expression that represents the distance from Adam's house to the intersection of Thornwood Drive and Holly Drive.
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0

\text{Given that the distance from Jim's house to the intersection of Thornwood drive}\\
\text{and Holly Drive is given by the expression }(15x-7)\\
\\
\text{And the total distance from Jim's house to Adam's house when traveled on}\\
\text{Thornwood Drive and Holly Drive is given by the expression }(23x-2)

\text{so the distance from Adam's house to the intersection of Thornwood Drive }\\
\text{and Holly Drive will be given by the difference of the total distance from Jim's }\\
\text{house to the Adam's house and the distance from Jim's house to the intersection.}\\
\\
\text{Hence the distance from Adam's house to the intersection of Thornwood Drive}

\text{and Holly Drive is}=(23x-2)-(15x-7)\\
\\
=23x-2-15x+7\\
\\
=8x+5

Hence the expression that represents the distance from Adam's house to the intersection of Thornwood Drive and Holly Drive is: 8x+5

Aleks [24]3 years ago
5 0

Answer:

A) 8x + 5

Step-by-step explanation:

(23x − 2) − (15x − 7)

23x − 2 − 15x + 7

8x + 5

<h2>Hope this helps!!!</h2>
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This question is incomplete

Complete Question

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

a) How much of each juice is needed to make 25 liters of this punch?

b) How much punch can she make if she has only 6 cups of plum juice?

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

Answer:

a)For pear =

12.5 liters

For Pineapple

= 5 liters

For plum

= 7.5 liters

b) 20 cups of punch

c) 10 cups of pear juice

Step-by-step explanation:

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

The total proportion is :

5 + 2 + 3 = 10

a) How much of each juice is needed to make 25 liters of this punch?

For pear =

5/10 × 25 = 12.5 liters

For Pineapple

= 2/10 × 25 = 5 liters

For plum

= 3/10 × 25 = 7.5 liters

b) How much punch can she make if she has only 6 cups of plum juice?

The ratio of plum juice is 3

6 cups / 3 = 2 cups per portion

Since 2 equals 2/3 of 3,

The quantity of pineapple juice = 2/3 of the plum juice

2/3 x 6 cups = 4 cups

Since 5 equals 5/3 of 3, the amount of pear juice amount 5/3 of the plum juuce

5/3 x 6 cups = 10 cups

So, the number of cups are

Pear juice = 10 cups

Pineapple juice = 4 cups

Plum juice 6 cups

Total=( 10 + 4 + 6) = 20 cups of punch

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

10 cups of pear juice can be used to make the quantity of punch in part b

7 0
2 years ago
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