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Crazy boy [7]
3 years ago
5

A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are t

urned on at the same time, how long will it take to fill the pool?
What equation can be used to solve this work problem?



How many minutes will it take both hoses to fill the pool?
Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0

t/30 + t/20 = 1

12 minutes

Step-by-step explanation:

just did the instruction on edgenuity

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Pls help!!!!!!!! Will give brainliest!!!!!!!!!!!
prohojiy [21]
Okay so lets look at the equation given
a ^{2} + {b}^{2} = {c}^{2}
this is the Pythagorean theorem, this equation holds true to all right angle triangles.

for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.

(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)

we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)

we can look at it two ways with a picture and through algebra

try to draw a right triangle with the given info. you'll see there are only two cases were this is possible the picture above is one case where this is not possible

now we can look at this algebraically
a = 3 \\ b = 4 \\ c = 5
(but "a" and "b" can swap lengths)

now with the Pythagorean theorem we can see how this plays out
{a}^{2} + {b}^{2} = {c}^{2} \\ {3 }^{2} + {4}^{2} = {5 }^{2} \\ 9 + 16 = 25 \\ 25 = 25
and heres with "a" and "b" lengths swapped
{4}^{2} + {3}^{2} = {5}^{2} \\ 16 + 9 = 25 \\ 25 = 25
now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"

a = 5 \\ b = 3 \\ c = 4 \\ {5}^{2} + {3}^{2} = {4}^{2} \\ 25 + 9 = 16 \\ 34 = 16 \:
obviously 34 does not equal 16

hope this helped you out

4 0
3 years ago
What is the slope of the line?<br><br> A. 3<br><br> B. -3<br><br> C. 1/3 <br><br> D. -1/3
Inessa05 [86]

Answer:

B. -3

Step-by-step explanation:

Starting from the y-intercept of [0, -2], you do <em>rise\</em><em>run</em><em> </em>by either moving three blocks <em>north</em><em> </em>over<em> </em>one block <em>west</em><em>,</em><em> </em>or three blocks <em>south</em><em> </em>over one block <em>east</em><em> </em>[<em>west</em> and <em>south</em> are negatives].

I am joyous to assist you anytime.

3 0
3 years ago
Joel is considering putting a $
olganol [36]

Answer: $53.84

Step-by-step explanation: 3500 divided buy 65

6 0
3 years ago
PLEASE HELP IM GIVING 5 STAR RATINGS
erica [24]

Answer:

a. 5 + 2m

b. 5m

c. 40m + 35

Step-by-step explanation:

5 0
3 years ago
Write an equation of a line that passes through (5,
enyata [817]

Answer:

y = 1/5x - 11

Step-by-step explanation:

perpendicular to a line means we flip the slope to opposite of what it is

in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.

Now we just use the same equation to find the y-intercept, which is b.

y = mx + b; m is your slope and b is your y intercept.

use the points given; (5, -10).

-10 = 1/5(5) + b

-10 = 1 + b

-11 = b

now put your equation together since you have all the pieces

y = 1/5x - 11

3 0
3 years ago
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