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Lesechka [4]
2 years ago
7

The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55.

Determine the number of hours Jake needs to work to receive a paycheck of $290.45.
Mathematics
1 answer:
vesna_86 [32]2 years ago
5 0

Answer:

35 hours

Step-by-step explanation:

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What is the constant of proportionality, y/x
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1/2

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Rationalise the denominator√3-√5/√7-√6​
sammy [17]

Answer:

<u>√21 + 3√2 - √35 - √30</u>

Step-by-step explanation:

<u>Given :-</u>

√3 - √5 / √7 - √6

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= √3 - √5 (√7 + √6) / √7 - √6 (√7 + √6)

= √21 + √18 - √35 - √30 / 7 - 6

= √21 + 3√2 - √35 - √30

<u>Solution :-</u>

<u>√21 + 3√2 - √35 - √30</u>

3 0
3 years ago
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HOTELS The Lincoln’s hotel room costs $90 a night. An additional 10% tax is added. Hotel parking is $12 per day. The Lincolns ex
mart [117]

Answer:

5 nights

Step-by-step explanation:

Solve the inequality:

90x + 90(0.1)x + 12x + 30 \leq 600

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102x + 90(0.1)x \leq 570

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So, the Lincolns can stay for 5 nights without exceeding $600

6 0
4 years ago
Line segment XY is dilated to create line segment X'Y' using point T as the center of dilation.
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The answer 

X'Y' and XY are parallels, measX'Y'T = measXYT, there is similarity between the two triangles, we can find YT by using theorem of thales, 

it is TY' / TY =TX' / TX =X'Y' /XY, so TY' / TY = TX' / TX = 9/ TY =6/ 2+6=6/8

and then 9/ TY = 6/8 therefore  TY= 12
6 0
3 years ago
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