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Reil [10]
2 years ago
5

Rachel mows 5 lawns in 8 hours. At this rate how many lawns can she mow in 40 hour?

Mathematics
1 answer:
posledela2 years ago
5 0

We can think of this as an equality

5 Lawns = 8 Hours

If she needs 40 hours, you can multiply 8 hours by 5 to get 40, but now it's not balanced. So, you need to multiply 5 to the other side too so:

5 x (5) = 8 x (5)

Therefore she mows 25 Lawns in 40 Hours

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1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line
alexira [117]
The point-slope equation would be
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3 0
2 years ago
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I’m still confused on how to do this even though it was explained to me please help :(
valkas [14]

a. \: \hat{D}=\hat{C}=64° \\ b. \stackrel\frown{BF}=2\hat{C}=2\times 64°=128° \\  c. \: \hat{E} = \hat{C}=64° \\ d. \stackrel   \frown{CBF} = 2\widehat{CEF}=2\times 90°=180° \\ e. \: \widehat{BAF} = 2\hat{C} = 2\times 64°=128° \\ f. \: \widehat{BAC} = \widehat{CAF}-\widehat{BAF}=180°-128°=52°

5 0
3 years ago
Find 38.01% of 111. Round to the nearest thousandth
Svetllana [295]

Answer:

42.191

Step-by-step explanation:

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3 years ago
What is the slope of the line that
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Answer:

5/2

Step-by-step explanation:

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2 years ago
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