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Darina [25.2K]
3 years ago
13

Alexis washes 10 1/2 windows in 3/4.At this rate, how many windows can she wash in one hour?

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
14. If in 3/4 of an hour, Alexis can wash 10.5 windows, if you divide 10.5 by 3, you'll get how many he can wash in 1/4 of an hour, then multiply it by 4 and you get how many in 4/4 of an hour (A whole hour.)
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Solve the following proportion for y.
LekaFEV [45]

Answer:

y = 110/3 or 36.6 (the 6 is infinite so make a line over it when entering the answer)

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2 years ago
Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
PLEASE ANSWER QUICK!!
Citrus2011 [14]

Answer:

A)  B is greater

B) when C = 21, A = 5 and B = 15

C) A must be 0, 5, or 12 for C to be greater than B

Step-by-step explanation:

A)  when a = -3, c = -20 and b = 4(-3)-5 so B = -17

B) when c = 21, a = 5 and b = 4(5)-5 so B = 15

C) C is greater than B when a = 0, 5, and 12

when a = 0, b = 4(0)-5 or -5

when a = 5, b = 4(5)-5 or 15

when a = 12, b = 4(12)-5 or 43

3 0
2 years ago
Miguel spent 1/8 of his savings on a new video game system. Mila spent 12% of her savings on a DVD, and Manny spent 0.1 of his s
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4 0
2 years ago
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Solve the system of equation by the addition method x-2y=11 and -x+6y =-31
Sonbull [250]

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

3 0
3 years ago
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