1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
motikmotik
2 years ago
7

POSSIBLE POINTS: 2

Mathematics
1 answer:
serious [3.7K]2 years ago
4 0

Answer:  max capacity is 1625 gallons.

Diagram is shown below.

=========================================================

Explanation:

We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.

For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.

The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.

Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.

To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"

Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.

Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.

Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.

-----------------------

Here's a way to find the answer without a double number line. This method involves setting up a proportion.

(40% full)/(650 gallons) = (100% full)/(x gallons)

40/650 = 100/x

40x = 650*100

40x = 65000

x = 65000/40

x = 1625

We confirm that the tank's max capacity is 1625 gallons.

You might be interested in
Solve the equation. X/4 + 10 = 16
NARA [144]

Answer:24

Step by step explanation:

6 0
3 years ago
Read 2 more answers
Help me pls ASAP!!<br> (Extra points)
Art [367]

Answer:

well i know you have that done now

Step-by-step explanation:

8 0
2 years ago
Your carry on bag can weigh at most 40 ponds. Write and solve an inequality to represent how much more weight you can add to the
Alborosie

Answer:

82ibs - 40ibs = 22ibs

Step-by-step explanation:

5 0
3 years ago
A.Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.
Inga [223]

a.

<K = <M = 50 ...Opposite angels are congruent

<K + <L  = 180...Consecutive angles are supplementary

 50 + <L  = 180 so <L = 180 - 50 = 130

<L = <N = 130...Opposite angels are congruent

50 + <N  = 180 so <N = 180 - 50 = 130

b.

MN = LK = 7...Opposite sides are congruent

KN = LM = 10...Opposite sides are congruent

4 0
3 years ago
All common factors of 24
svetoff [14.1K]

Answer:

The all common Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

3 0
2 years ago
Other questions:
  • WILL GIVE A BRAINLIEST IF UR 100% CORRECT PLEASE HELP!!!
    9·1 answer
  • Pls help. Will mark for CORRECT ANSWER!!
    15·1 answer
  • A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of informatio
    8·1 answer
  • A real estate agent receives 5% commission on the first $250, 000 of a house selling price
    11·1 answer
  • (6-2i)+(-7+i)<br>imaginary numbers <br>simplify
    6·1 answer
  • A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 10m and a depth of 1.4m
    7·1 answer
  • Kevin has 4.85 in nickels and dimes. if he has fewer dimes than nickels, how many coins does he have altogather?​
    12·1 answer
  • Please I don’t know how to do this.. can anyone help?
    11·1 answer
  • 3, 4, 5, 7, 9, 10, 2, 8<br><br> Mean__<br> Median__<br> Mode__<br> Range__
    9·2 answers
  • Which point is on the interior of DEF? point F point H. point D point G​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!