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.
Answer:
Well to find the x-intercept, substitute in 0 for y and solve for x. To find the Y-intercept, substitute in 0 for x and solve for y
X-intercept: (15,0)
Y-intercept: (0,- 5) Hope this helps :)
Step-by-step explanation:
Answer:
m + 10 = 39
Step-by-step explanation:
In 10 years she will be 39, so you will add 10 to her age right now, which is m, so m + 10 = 39
Answer:

where C is constant of integration
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given f(x) = 5 eˣ</em>
Now integrating with respective to 'x' , we get
I = 
<em> By using integration formula</em>


<em>where C is constant of integration</em>
(4xy - 3z)²
(4xy - 3z)(4xy - 3z)
4xy(4xy - 3z) - 3z(4xy - 3z)
16x²y² - 12xyz -12xyz + 9z²
16x²y² - 24xyz + 9z², a perfect square trinomial.