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Wewaii [24]
3 years ago
11

Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 15 minutes in 3 hours. How long di

d they rest in 7 hours?
Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

35 Minutes

Step-by-step explanation:

15 minutes divided by 3 hours = 5 minutes an hour

7 x 5 = 35

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Find the distance between (2a+2, 2b) and (2b+2, 2a), given that a>b.
Elina [12.6K]

Answer:

Distance = 2\sqrt{2}a-2\sqrt{2}b

Step-by-step explanation:

We will use distance formula shown below to solve this:

Distance Formula:  \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where

x_1 = 2a + 2

y_1 = 2b

x_2 = 2b+2

y_2 = 2a

Substituting, we solve for the expression for distance:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(2a-2b)^2+((2b+2)-(2a+2))^2}\\D=\sqrt{(2a-2b)^2+(2b+2-2a-2)^2}\\D=\sqrt{(2a-2b)^2+(2b-2a)^2}\\D=\sqrt{4a^2 -8ab+4b^2+4b^2-8ab+4a^2}\\D=\sqrt{8a^2-16ab+8b^2}\\D=\sqrt{(2\sqrt{2}a-2\sqrt{2}b)^2}\\D=2\sqrt{2}a-2\sqrt{2}b

This is the expression in terms of a, and b,  given a > b

7 0
3 years ago
In rectangle GRAM below GA =4×+17 and MR= 7x-4 find the value of x and the lenghts of GA MR
il63 [147K]

Answer: x=7, GA=MR=14

Step-by-step explanation:

7 0
2 years ago
What is 8(y+2) thank you whoever answers this
Grace [21]

8y + 16

Used the distributive property to solve.,

8 0
4 years ago
Read 2 more answers
Five different DVDs cost:
katovenus [111]

Answer:

16

Step-by-step explanation:

mode = the most

mean = ave

median = the no. in between

so arrange those five costs the one in the middle is <em>1</em><em>6</em>

7 0
3 years ago
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Comparing Rates:I kinda need help with the whole thing...
Stells [14]
[1] Amount of water per minute
Water Miser:  m = 3.0 gal/min
Watersaver:   m = 2.5 gal/min
Waterstream: m = 1.5 gal/min

[2] Equations:
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Water Miser:  y = 3x
Watersaver:   y = 2.5x
Waterstream: y = 1.5x

[3] For 6,8,10, and 12 minutes:
Plug in x = 6, x = 8, x = 10, and x = 12 into each of the three equations and record the y-values.

[4] Which would you buy?
Depends on your personal opinion.

Want to save the earth? Pick the one that uses the least amount of water.

Want to have a waterfall for a shower? Pick the one that uses the most amount of water. :)
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3 years ago
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