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3 years ago

30. Shelby walks at a constant rate. The equation that represents this

Mathematics

1 answer:

Marysya12 [62]3 years ago

6 0

Answer:

Step-by-step explanation:

In order for 4*t to equal d, the 4 has to represent a rate with respect to time because the multiplication between them will cancel the time unit. We know this because of the formula d = rt with 'r' being rate

a: 4 is the rate at which Shelby walks, 4 miles per hour

b: T is replaced with 32, so the expression tells us the distance Shelby travels in 32 hours at a rate of 4 miles per hour

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What is the measure of angle 7?

umka2103 [35]

Answer:

<7 = 47, 2x - 5 + 47 = 180, x = 69

Step-by-step explanation:

<5 and <7 are vertical angles, which means that they have the same degree.

<7 + <6 = 180. <6 = 2x - 5. 2x - 5 + 47 = 180.

Solve

2x - 5 + 47 = 180

2x + 42 = 180

2x = 138

x = 69

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2 years ago

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The temperature is -2c. If the temperature rises by 15c what is the new temperature?

svetoff [14.1K]

Answer:

13c

Step-by-step explanation:

-2+15=13

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3 years ago

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Solve: 62x - 3 = 6-2x+1

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Step-by-step explanation:

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4 years ago

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

The least number of items to produce is 41

Step-by-step explanation:

Average Cost

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

3 years ago

What number is 15% of 80? use percent proportions

vova2212 [387]

!5% is equivalent to 15 parts over the whole 100 part. It is written in proportions as 15/100.

Similarly, you need to find how many parts in 80 are equivalent to 15%or 15/100. So, just equate both equation with x as an unknown.

x/80 = 15/100
x = (15/100)*80
x = 12

Thus, the 15% of 80 is 12.

8 0

3 years ago