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zzz [600]
2 years ago
8

A triangle has two sides of length 1 and 2. What compound inequality describes the possible lengths for the third side, x?Write

a compound inequality like 1
Mathematics
1 answer:
klemol [59]2 years ago
7 0

Step-by-step explanation:

since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be

side < 1 + 2 = 3

so,

side < 3

for a lower limit let's go through the cases

1 < 2 + side (is always true)

2 < 1 + side

1 < side (side must be larger than 1)

and again

side < 1 + 2 = 3

side < 3

so the full restriction for the third side is

1 < side < 3

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dolphi86 [110]
The answer to the question

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3 years ago
Hector has a part-time job at a garage. He gets a paycheck of $820 every for
ElenaW [278]

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B.  Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes:                       ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

  Weeks         Paycheck

      4                   820

      3                     x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

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2 years ago
Show work please do
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Here is your answer! I hope this helps.

6 0
3 years ago
You work 37 1/2 hours and earn $352.50. What is your hourly wage
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Answer:

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Step-by-step explanation:

well since you work 37.5 hours and you earn $352.50 you divide them to get your hourly wage

352.5 ÷ 37.5 = 9.4

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Answer:

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Step-by-step explanation:

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