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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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Determine the quadrant in which the terminal side of the given angle lies. -750°
Blababa [14]

Answer:

Quadrant 4

Step-by-step explanation:

If the given angle was positive, then we go clockwise.

But it's negative so we go counterclockwise.

An alternative way of graphing

Quadrant 1 is 0-90°

Quadrant 2 is 90-180°

Quadrant 3 is 180-270°

Quadrant 4 is 270-360°

Subtract the given angle by 360 until no longer possible

750 - 360 = 390     390 - 360 = 30

Remember that this was originally a negative angle

Instead of going clockwise to quadrant 1, we go counterclockwise to quadrant 4, ending up at 330°

7 0
3 years ago
The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Ghella [55]

Answer:

m=\frac{2A-kn}{k}

Hence, option C is true.

Step-by-step explanation:

Given the expression

A=\frac{k}{2}\left(m+n\right)

Solving for 'm'

A=\frac{k}{2}\left(m+n\right)

Flip the equation

\frac{k}{2}\left(m+n\right)=A

Expanding by applying the distributive law: a\left(b+c\right)=ab+ac

\frac{1}{2}km+\frac{1}{2}kn=A

Add (-1)/2 × kn to both sides

\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A

simplify

\frac{1}{2}km=-\frac{1}{2}kn+A

Divide both sides by k/2

\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}

m=\frac{2A-kn}{k}

Therefore,

m=\frac{2A-kn}{k}

Hence, option C is true.

7 0
3 years ago
Write a negative integer and a positive integer whose sum is -3.
Pani-rosa [81]
(-6) + 3 = -3 ;
The negative integer is -6; the positive integer is 3.
3 0
3 years ago
Read 2 more answers
PLEASE HELP!! GIVING BRAINIEST WHEN TWO PEOPLE ANSWER!!!
solniwko [45]

Answer:

Bright lemonade

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
100 points!!!
Bogdan [553]

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the two lines.  From inspection of the graph, the point of intersection is at (1, 5).

<u>Proof</u>

The solution to a system of equations is the point at which the two lines meet.  

⇒ g(x) = f(x)

⇒ 3x + 2 = |x - 4| + 2

⇒ 3x = |x - 4|

⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

⇒ 2x = -4

⇒ x = -2

Inputting x = -2 into the 2 equations:

⇒ g(-2) = 3 · -2 + 2 = -4

⇒ f(-2) = |-2 - 4| + 2 = 8

Therefore, as the y-values are different, x = -2 is NOT a solution

⇒ 3x = -(x - 4)

⇒ 3x = 4 - x

⇒ 4x = 4

⇒ x = 1

Inputting x = 1 into the 2 equations:

⇒ g(1) = 3 · 1 + 2 = 5

⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

8 0
2 years ago
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