answer.
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
masha68 [24]
2 years ago
6

Assume that when you take a​ bath, you fill a tub to the halfway point. The tub measures 5 feet by 3 feet by 2.8 feet. When you

take a​ shower, you use a shower head with a flow rate of 1.52 gallons per​ minute, and you typically spend 12 minutes in the shower. There are 7.5 gallons in one cubic foot.
Mathematics
1 answer:
Irina18 [472]2 years ago
4 0
Total water used while taking a bath is half the volume of water in tub.
Volume of water used=(volume)/2
=(5×3×2.8)/2
=42/2
=21 cubic feet

Total amount of water used while taking a shower will be given by:
Total amount of water=rate×time
=1.52×12
=18.24 gallons
Thus amount of water in cubic feet if there are 7.5 gallons in 1 cubic foot will be:
amount=18.24/7.5=2.432 cubic feet.

Therefore the conclusion is, the person is using more water in bathing than shower.
You might be interested in
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation
Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

            (2x + 7) = 4

To Find :  how many bags he needs?

Solution :

(2x + 7) = 4

2x=-3

x=-\frac{3}{2}

Now we are given that Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

Substitute the value of x

B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)

B=8.5

Hence 8.5 bags are needed.

3 0
2 years ago
Ariel weighed an object on her balance and recorded a mass of 24.3 grams.Her teacher told her that there was something wrong wit
grin007 [14]
For this case what we can do is the following rule of three:
 24.3 -----> 130%
 x ---------> 100%
 We clear the value of x:
 x = (100/130) * (24.3)
 x = 18.7 grams
 Answer:
 
the current mass of the object was:
 
x = 18.7 grams
4 0
2 years ago
How many solutions are there to the system of equations?
hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1

You can identify that:

m=0.8\\b=-1

Apply the same procedure with the second equation. Then:

-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1

You can identify that:

m=0.8\\b=1

The slopes of both lines are equal, therefore  the lines are parallel and the system has NO SOLUTION.

7 0
2 years ago
Read 2 more answers
Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 2
asambeis [7]

Answer:   c

Step-by-step explanation:

Based on the percent breakdown of 360%.

100% 100% 100% 20%20%20%

15.       15.      15.    3.     3.     3.

100% is all of it, so 15. This is x.

20% of it would be calculated as 0.2 x 15 or 3. This is y.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. I
    7·1 answer
  • A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used
    9·3 answers
  • A dog has dug holes in diagonally-opposite corners of a rectangular yard. One length of the yard is 8 meters and the distance be
    6·1 answer
  • Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si
    12·2 answers
  • Which graph represents the solutions to the inequality 2x-6<4?
    5·2 answers
  • Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
    5·1 answer
  • Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily c
    10·2 answers
  • You work two jobs. You earn $9.80 per hour as a salesperson and $7.84 per hour stocking shelves. Your combined earnings this mon
    8·1 answer
  • Which functions have an additive rate of change of 3? Select two options<br>​
    6·1 answer
  • HELP HELP HELP!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!