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telo118 [61]
3 years ago
14

The circumference of a circle C is directly proportional to its radius r. if the circumference of a circle whose radius is 5 inc

hes is 10pi inches. what is the circuference of a circle whose radius ia 8 inches
Mathematics
1 answer:
dedylja [7]3 years ago
5 0

16 pi inches


Circumference is double the radius

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The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she
tester [92]

Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation:

<u>Complete Question:</u>

<em>The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns </em>

<em>The table shows the amount of money Susan cams for different numbers of hours worked</em>

<em>Susan's Earnings </em>

<em>Time (h)           Money Earned</em>

<em>5                              40</em>

<em>8                              64                </em>

<em>10                             80</em>

<em>(a) How much money does Sandra eam per hour? Show your work </em>

<em>(b) Who earns more per hour? Justify your answer</em>

<em />

<em />

<u>Answer:</u>

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

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When (1,2) is substituted into the first equation, the equation is true.
The ordered pair (1,2) is a solution to the system of linear equations.
When (1,2) is substituted into the second equation, the equation is true.

6 0
3 years ago
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What is the value of y in the equation 4 + y = −3?<br><br> 7<br> 1<br> −1<br> −7
Natasha_Volkova [10]

Answer:

-7 is your answer

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

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