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OLga [1]
3 years ago
9

A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1

,000 more than the daughter. How much did each receive? If x is the amount the wife received, then which of the following expressions represents the amount received by the son? A. x/2 + 1,000 B. x + 1,000 C. 2x + 1,000
Mathematics
1 answer:
monitta3 years ago
6 0

Answer:

Q1:

Share of the daughter (x):

2x + x + x + $1,000 = $9,000

4x = $8,000

x = $2,000

Share of the wife:

= 2($2,000)

=  $4,000

Share of the son:

= $2,000 + $1,000

= $3,000

Answer: wife, $4,000; son, $3,000; daughter, $2,000

Q2:

= 1/2x + $1,000

Answer: 1/2x + $1,000: expression for share of the son

Proof (the wife shares $4,000):

Share of wife (x):

x + 1/2x + 1/2x + $1,000 = $9,000

2x = $8,000

x = $4,000

Step-by-step explanation:

hope it helps!

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3 years ago
Oliver treated his sister to lunch while visiting her in Cedarburg. Their lunch cost $275, and the sales tax in Cedarburg is 12%
Rudiy27

Answer:

Oliver paid a total of $363.

Step-by-step explanation:

The total amount paid by Oliver on this dinner is given by the cost of their lunch (275) plus the tax (12%) plus the tip (20%). So in order to calculate this value we first need to know how much was paid in tax and the tip, these calculations are shown bellow:

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So the total amount paid was:

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3 years ago
Find two numbers between 1.4142133 and 1.41422
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Hey there! I'm happy to help!

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1.4142133+1.41422=2.8284333

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(1.41421665+1.41422)/2=1.414218325

You could keep on doing this and find tons of numbers in between these two.

Therefore, two numbers between 1.4142133 and 1.41422 are 1.41421665 and 1.414218325.

Have a wonderful day! :D

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Answer:

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