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
Lady bird [3.3K]
3 years ago
8

Two containers are being filled with water. One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute

. The other begins with 24 gallons and is filled at 3.25 gallons per minute.
Part A: Write an equation that represents the amount of water w, in gallons, with respect to time t, in minutes, for each container.

Part B: Solve the system of equations. Show your work.

Part C: How long would it take for both of the containers to have the same amount of water? How much water would be in each container?
Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

PART A:

w-3.5 t=8

w-3.25t=24

PART B:

t=64

and w= 232

PART C:

It will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

PART A:

Let the water is filling in 't' minutes.

and 'w' denotes the amount of water in the container.

for container 1:

One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.

The equation is given by:

w=8+3.5 t

or w-3.5 t=8---------(1)

for container 2:

The other begins with 24 gallons and is filled at 3.25 gallons per minute.

The equation is given by:

w=24+3.25t

or w-3.25t=24--------(2)

PART B:

on solving equation (1) and equation (2) by method of elimination we get:

subtract equation (2) by equation (1) to obtain:

-3.5t+3.25t=8-24\\\\-0.25t=-16\\\\t=\dfrac{16}{0.25}\\\\t=64

t=64

and  putting the value of t in equation (1) to obtain:

w-3.5\times 64=8\\\\w-224=8\\\\w=232

w= 232

PART C:

Hence it will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.





You might be interested in
A square has 7.5 inches. What is the area ?
kvv77 [185]

Answer:

7.5^2

56.25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Trina buys a television for $189. the sales tax is 5%. What is the total cost of the television with tax?
solong [7]
5% tax is $9.45 so we do 189+9.45= 198.45 which is B
6 0
2 years ago
Line u has a slope of<br> -2/5 is parallel to line u. What is the slope of line v?
tresset_1 [31]

Answer:

-2/5

Step-by-step explanation:

The slope will be same , that is -2/5 .

7 0
3 years ago
Which value is NOT equivalent to 135%?
Margarita [4]
D. 100/135 the rest of them equal 135%
4 0
3 years ago
Question #2
RideAnS [48]

Answer:

First, the student performed what was inside of the parentheses and was exponential, which is correct. We know this because of the rules called order of operations, outlined by PEMDAS, which tells us to perform mathematical operations in the following order: parentheses, exponents, multiplication, division, addition, subtraction.

So by the rules I just outlined, next the student should have performed the multiplication, but instead performed subtraction, which is incorrect.

The following is the correct simplification of the expression:

23 - 8 times 2 + 3 by the power of 2

So first we should perform parentheses, but there are none. So we move to the next option in the list, which is exponents, which we do have (3^2).

23 - 8 * 2 + 3^2

23 - 8 * 2 + 9

Next in PEMDAS comes multiplication and division. This means the next step in simplifying the expression is to evaluate 8*2.

23 - 16 + 9

Next in PEMDAS is addition, so we should perform the operation -16 + 9.

23 - 7

Finally, the last step in PEMDAS is to simplify the remaining operation (subtraction).

16

Therefore, the student did the first step correctly but performed the second step incorrectly. The final answer should be 16 after simplification.

Hope this helps!

Please I need Brainliest.

5 0
2 years ago
Other questions:
  • A round above-ground swimming pool has a diameter of 15 ft and a height of 4.5 ft. What is the volume of the swimming pool?
    14·1 answer
  • A food stand sold hamburgers, ice cream cones, and hot dogs at a football game. Hamburgers were sold for $3.25, ice cream cones
    13·2 answers
  • Curtis drank 1/2 of his glass of water isa drank 2 1/3 times more water than curtis simplest form
    5·1 answer
  • PLEASE HELP ME WITH THIS, HELP NEEDED ASAP
    5·1 answer
  • Equivalent to 1/2 (36x -14) +(2x-9)?
    15·1 answer
  • ANSWER THE QUESTION FOR BRAINLIEST
    10·1 answer
  • At 7:00 pm, the temperature was -7 °F. The next morning the temperature had raised
    13·2 answers
  • Please help I will give brainliest
    7·2 answers
  • What is cos 60? A. B. C. 1 D. E. F.
    8·1 answer
  • What are the coordinates of point H? ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!