Using the arithmetic formula a1 + (n-1) d, a1 being the first term, n being the number you’re looking for and d being the common difference, you will get the answer of -57.
Here’s the work:
27 + (29 - 1) -3
27 + (28) -3
-57
Answer:
100
Step-by-step explanation:
Solve for m
2m= 40
Divide both sides 2
m= 20
5(20)= 100
Answer: 20 cups of grape juice are needed for 8 cups of peach juice.
Step-by-step explanation:
5 times 4 is 20.
We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.
So, 20 cups of grape juice are needed for 8 cups of peach juice.
Hope this answer helps you out!
Answer
Top one
Step by step explanation
To make it easier, you calculate the volume of the first aquarium.
1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.
Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.
2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches
Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
2nd aquarium's rate:
18,270 in./39 min.
As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
