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Tamiku [17]
2 years ago
5

cindy recycled 54 pounds of paper . She recycled 9 times as many pounds of paper as Monica . Write an equation that can be used

to find m, the number of pounds of paper Monica recycled . Then solve the equation to find the number of pounds of paper Monica recycled.
Mathematics
2 answers:
Dafna1 [17]2 years ago
7 0

<u>Answer:</u>

9x = 54

Monica recycled 6 pounds of paper.

<u>Step-by-step explanation:</u>

We are given that Cindy recycled 54 pounds of paper which are 9 times as many pounds of paper as Monica.

Assuming that Monica recycled x pounds of paper, we can write an equation.

9 x = 5 4

Finding x to know the number of pounds of paper Monica recycled.

x = \frac { 5 4 } { 9 }

x = 6

Monica recycled 6 pounds of paper.

Lynna [10]2 years ago
5 0

Answer:

Equation: 54=9m

Monica recycled 6 pounds.

Step-by-step explanation:

You know that Cindy  recycled 54 pounds of paper and this is 9 times as many pounds as Monica.

Then, let be "m" the number of pounds of paper Monica recycled. Therefore, you can set up the following equation:

54=9m

To solve the equation you need to solve for "m". Then, you need to divide both sides of the equation by 9:

\frac{54}{9}=\frac{9m}{9}\\6=m

Monica recycled 6 pounds of paper.

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At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25
denpristay [2]

Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .

<u>Step-by-step explanation:</u>

Step 1: Sketch the curve.

The probability that 2.5<X<3.5 is equal to the blue area under the curve.

Step 2:

Since μ=3 and σ=0.25 we have:

P ( 2.5 < X < 3.5 ) =P ( 2.5−3 <  X−μ < 3.5−3 )

⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)

Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:

P ( 2.5<X<3.5 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Percent of red lights last between 2.5 and 3.5 minutes is 0.9544(100) = 95.44% .

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