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faust18 [17]
3 years ago
14

A box of cereal states that there are 75 calories in a three fourths 3/4​-cup serving. What is the unit rate for calories per​ c

up? How many calories are there in 2 cups of the​ cereal?
Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

a) The unit rate for calories per​ cup is 100 calories per cup

b) 200 calories in 2 cups of cereal.

Step-by-step explanation:

A box of cereal states that there are 75 calories in a three fourths 3/4​-cup serving.

a) What is the unit rate for calories per​ cup?

This is calculated as:

3/4 cup = 75 calories

1 cup = x

Cross Multiply

3/4x = 75 calories × 1

x = 75 calories /3/4 cup

x = 75 ÷ 3/4

x = 75 × 4/3

x = 100 calories per cup

The unit rate for calories per​ cup is 100 calories per cup

b) How many calories are there in 2 cups of the​ cereal?

From the above question

3/4 cup = 75 calories

2 cups = x

Cross Multiply

3/4x = 75× 2

x = 150 ÷ 3/4

x = 150 × 4/3

x = 200 calories

There are 200 calories in 2 cups of cereal.

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alina1380 [7]

Answer:

25 inches

Step-by-step explanation:

If square has a perimeter of 20 inches, the length of each side is:

s=\frac{20}{4}\\ s=5\ in

After cutting the square in half, we are left with two rectangles of 5 in x 2.5 in

Attaching those two smaller rectangles by their short end (2.5 in side), gives us a new rectangle with a height of 2.5 in and a length of 10 in (sum of the 5 in sides in each rectangle). The perimeter of this new rectangle is:

P=2*2.5+2*10\\P=25\ in

The perimeter is 25 inches.

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3 years ago
30÷10 divide until you find the ten thousand digit
klemol [59]

Answer:

The ten thousandth digit would be 0.

Step-by-step explanation:

30/10=3

3 is a whole number so there would be no decimal which means that in the ten thousandth place would be 0

30/10=3.0000

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3 years ago
Miles is planning to spend 2/3 as many hours bicycling this week as he did last week. Is Miles going to spend more hours or fewe
Taya2010 [7]

Answer:

Fewer hours

Step-by-step explanation:

2/3 is a fraction and shows the parts of a whole. This means that 2/3 of last week is fewer than last week. Last week is the whole for example 15 hours. This week will be 2/3 or 2/3*15 = 10 hours. This week will be less than last week.

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3 years ago
A line goes through the points (-1,9) and (1,1).Write the equation of this line in point slope form using one of these points.
Mashcka [7]

Answer:

y-9= -4(x+1)

Step-by-step explanation:

First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).

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3 years ago
Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 i
Mazyrski [523]

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

____6.32

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________

___ 5.82

________

4 0
3 years ago
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