Answer:
4 3/8 cups of baking soda
Step-by-step explanation:
1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product,
Cups of baking soda : batches of homemade cleaning
1 3/4 cups : 1 batch
How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?
Let x = total cups of baking soda needed
Cups of baking soda : batches of homemade cleaning
x cups : 2 1/2 batches
Equate the ratios
1 3/4 cups : 1 batch = x cups : 2 1/2 batches
7/4 ÷ 1 = x ÷ 5/2
7/4 × 1/1 = x * 2/5
7/4 = 2/5x
Divide both sides by 2/5
x = 7/4 ÷ 2/5
= 7/4 × 5/2
Cross product
x = 35/8
= 4 3/8 cups of baking soda
Answer:
Sam made a mistake, and their correct value is 30.
Step-by-step explanation:
The first thing we need to do is find the rate of parts for 15 minutes.
So, we divide 114 parts per 6 minutes and get 19 parts per minute
Then we multiply this rate per minute by 15 minutes
The answer is 285
Attached Work Below:
Answer:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
<em>Note that the functions are assumed but same method can be employed when calculating composite functions</em>
