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
SIZIF [17.4K]
3 years ago
8

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.Find the percent of the c

up that is filled with water after 3 seconds.
Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

In 3 seconds the cup is filled with 105\ cm^3<u>.</u>

Step-by-step explanation:

Given:

2 seconds = 70\ cm^3 water

We need to find the percent of the cup that is filled with water after 3 seconds.

Solution:

Now Given:

The cup was filled at a constant rate.

First we will find the volume of water filled in the cup after 1 seconds.

2 seconds = 70\ cm^3 water

1 seconds = Volume of water filled in 1 second.

By Using Unitary method we get;

Volume of water filled in 1 second = \frac{70}{2}= 35\ cm^3

Now we will find the volume of water filled in the cup after 3 seconds.

1 second = 35\ cm^3 of water is filled

3 seconds = volume of water filled in the cup after 3 seconds

Again by using Unitary method we get;

volume of water filled in the cup after 3 seconds = 35 \times 3 = 105\ cm^3

Hence In 3 seconds the cup is filled with 105\ cm^3.

To find the percent of the cup filled with water after 3 seconds we would required the dimensions of the cup which is not available in the question.

You might be interested in
A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of
nikitadnepr [17]
<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

speed = \frac{510}{6}\\\\speed = 85

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

3 0
3 years ago
What is the solution to y= 4x+8 y=5x+1
DanielleElmas [232]

Answer:

y=9x+9

Step-by-step explanation:

5 0
3 years ago
Solve for x. The polygons are similar
kotykmax [81]

\frac{8x-2}{42}=\frac{63}{49}\\\frac{8x-2}{42}=\frac{9}{7}\\7(8x-2)=9\cdot42\ /:7\\8x-2=9\cdot6\\8x-2=54\\8x=54+2\\8x=56\ /:8\\x=7

4 0
3 years ago
Solve the inequality and describe the solution set.
Ghella [55]
I think the answer is 6 because if you think about its y - 6 but its under less of 12 so it has to be 6

8 0
3 years ago
ASAP! NEED HELP!!!<br> ACTUALLY USA TESTPREP BUT STILL. PLEASE HELP!
Rus_ich [418]
What is the length of the longest lead? 1 3/4 

What is the length of the shortest lead? 1/4 

What is the difference between the longest lead and the shortest lead? 1 1/2

What size lead did most students have? 1/2

What was the sum of the two shortest lead lengths? 3/4

What was the difference between the second shortest and the longest lead? 1/4




8 0
3 years ago
Other questions:
  • I don't know how to do this, need help.
    6·2 answers
  • Verify that quadrilateral BCDE is a rhombus with vertices B(–2, 0), C(–7, 5), D(0, 6), and E( 5, 1) by showing that all four sid
    6·1 answer
  • A study of the effect on the human digestive system of potato chips made<br>with a fat substitute
    6·1 answer
  • Circle the number that you would take away so that 8 would be the gcf of the remaining three numbers, 16,8,24,20
    14·1 answer
  • While vacationing, Rosalie sees a mountain and its reflection on the still water of a lake. She draws the mountain and its refle
    5·1 answer
  • PLEASEE HELPPP MEE!!<br> what is the measure of angle 2?
    11·1 answer
  • Is this correct, i did 21.5 times 33.6 and converted it to yards to the nearest tenth and i got 80.3
    12·2 answers
  • Guided Practice #3:
    10·1 answer
  • 21 A man's income is increased in the ratio 47:40. Find<br> percentage
    13·1 answer
  • If anyone can help with this please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!