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3 years ago

Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?

Mathematics

1 answer:

In-s [12.5K]3 years ago

7 0

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

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What is the slope of the line through (-9, 6) and (-3, 9)? Choose 1 answer:

trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find: The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

Plug in the values

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{9 - 6}{-3 - (-9)}$

Simplify the expression

$m = \frac{3}{-3 + 9}$

$m = \frac{3}{6}$

$m = \frac{1}{2}$

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

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2 years ago

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What are the vertical asymptotes of the function f(x) =5x+5/x2 + x-2

katen-ka-za [31]

let's recall that the vertical asymptotes for a rational expression occur when the denominator is at 0, so let's zero out this one and check.

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3 years ago

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Deffense [45]

Answer:

Step-by-step explanation:

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kolezko [41]

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Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

grandymaker [24]

2(x - 1) > = -12
2x - 2 > = -12
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3 years ago