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PIT_PIT [208]
1 year ago
10

A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each m

ember of the family averages 8 minutes in the shower per day. In a 30-day period, how many fewer gallons of water will the family use with the new showerheads?
Mathematics
1 answer:
kykrilka [37]1 year ago
8 0

Answer:

Family will save 3600 gallons of water by replacing the shower-heads.

Step-by-step explanation:

Number of family members in a family = 5

Each member of the family averages shower per day = 8 minutes

Total time for shower = 5×8 = 40 minutes

With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons

Water consumption in 30 days = 200×30 = 6000 gallons per month

After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day

Water used in one month = 80×30 = 2400 gallons

Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons

Therefore, family will use 3600 gallons less water by replacing the water saving water heads.

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2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the
kolezko [41]

Answer:

Step-by-step explanation:

a) sum of angle on the straight line TRW is 180.

Given <TRS = 2x+10

<SRW = x-10

<TRS+<SRW = 180

2x+10+x-10 = 180

3x = 180

x = 180/3

x = 60°

<TRV = 180°-(2x+10)

Substitute x = 60° into the expression

<TRV = 180-(2(60)+10)

<TRV = 180-(120+10)

<TRV = 180-130

<TRV = 50°

2) From the diagram attached <MHJ= <LHK (oppositely directed angle)

Given

<MHJ= x+15

<LHK = 2x-20

Substitute the given data into the formula to get x

x+15= 2x-20

x-2x = -15-20

-x = -35

x = 35°

Next is to get the measure of <MHJ

<MHJ = x+15

<MHJ = 35+15

<MHJ = 50°

8 0
1 year ago
At a cookout, Mrs. Crawford makes 8/9 pound of chicken, plus 1 pound for each guest. Is the relationship between the number of g
erma4kov [3.2K]
No, this rel. is not proportional because of the addition involved ("plus 1 lb for each guest").

A proportional rel. features mult. only.

3 0
1 year ago
Read 2 more answers
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on eac
telo118 [61]

Answer:

504/8=63/6=10.5

10 rooms per floor with 3 leftover

5 0
1 year ago
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sig
BigorU [14]

Answer:

Step-by-step explanation:

Delivery fee = $7.50

Price per pizza = $14

Planned amount = $60

7.50 + 14p < 60

Subtract 7.50 from both sides

14p < 60 - 7.50

14p < 52.50

Divide both sides by 14

p < 52.50 / 14

p < 3.75

Each pizza is cut into 8 slices

Total slices she can afford = 3.75 × 8

= 30 slices

5 0
1 year ago
Tan 235° = 2tan20°+ tan215°​
Mariulka [41]

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

5 0
1 year ago
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