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masha68 [24]
3 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]3 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.
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Tyree bought a collectible comic book for $49.62 last year. this year, he sold it for $52.10. find the percent of change of the
lidiya [134]
52.10-49.62=2.48
2.48/49.62 x 100 = 4.998%
The percentage increase in the price is approximately 5 %
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Jamal is 12 years older than twice Stephanie’s age. The sum of their ages is 45. A. If Stephanie’s age is represented by x, writ
amm1812

Answer:

Jamal's age = 2×x+12= 2x+12

sum og ages = 45

2x+12+x= 45

=3x+12=45

=45-12= 3x

= 32=3x

x= 32/3= 10.67

2x+13 =21.34+12= 33.34

hope.ot helps

plz mark as brainliest

4 0
3 years ago
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
Elenna [48]

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let D(5, 7) = (x_2, y_2)

C(?, ?) = (x_1, y_1)

M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2})

Rewrite the equation to find the coordinates of C

2 = \frac{x_1 + 5}{2} and 4 = \frac{y_1 + 7}{2}

Solve for each:

2 = \frac{x_1 + 5}{2}

2*2 = \frac{x_1 + 5}{2}*2

4 = x_1 + 5

4 - 5 = x_1 + 5 - 5

-1 = x_1

x_1 = -1

4 = \frac{y_1 + 7}{2}

4*2 = \frac{y_1 + 7}{2}*2

8 = y_1 + 7

8 - 7 = y_1 + 7 - 7

1 = y_1

y_1 = 1

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let A(-2, -9) = (x_2, y_2)

B(?, ?) = (x_1, y_1)

M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2})

-4 = \frac{x_1 - 2}{2} and -5 = \frac{y_1 - 9}{2}

Solve for each:

-4 = \frac{x_1 - 2}{2}

-4*2 = \frac{x_1 - 2}{2}*2

-8 = x_1 - 2

-8 + 2 = x_1 - 2 + 2

-6 = x_1

x_1 = -6

-5 = \frac{y_1 - 9}{2}

-5*2 = \frac{y_1 - 9}{2}*2

-10 = y_1 - 9

-10 + 9 = y_1 - 9 + 9

-1 = y_1

y_1 = -1

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

4 0
3 years ago
WILL GIVE BRAINLIEST
mariarad [96]

Answer:

D

Step-by-step explanation:

A.P.E.X

3 0
3 years ago
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