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3 years ago

For each mile that Jason runs, Meagan runs 1/4 Mile farther. If Jason ran 6 miles,how far did Megan run ?

Mathematics

1 answer:

Darina [25.2K]3 years ago

8 0

6/1 × 1/4 = 6/4
6/4 = 1 2/4 = 1 1/2
6 + 1 1/2 = 7 1/2
Meagan ran 7 1/2 miles.

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Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre

Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow $1\frac{1}{5}\ acres$ in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

$1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}$

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow $\frac{1}{2}\ acre$ in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

$\frac{\frac{1}{2}}{25}=\frac{x}{60}$

Solving for "x", you get:

$\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}$

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

$x=1\frac{1}{5}$

Therefore, she can mow $1\frac{1}{5}\ acres$ in one hour.

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2 years ago

What is the equation for shifting the standard sine curve 2 units horizontally?

ratelena [41]

Just add the displacement value to variable. If this value is positive, the graph will move to the right, otherwise it will shift to left.

$f(\O)=sen(\O+x)$

Where: x=displacement value

If you notice any mistake in my English, please let me know, because I am not native.

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3 years ago

11 + 2(z + 3) -z simplified

lbvjy [14]

Answer: z + 17

Step-by-step explanation:

1) DISTRIBUTE:

11 + 2z + 6 - z

2) COMBINE LIKE TERMS

z + 17

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3 years ago

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sukhopar [10]

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3 years ago

Simplify (4b+7)8b^2<br> Can someone help me please?

Fed [463]

Answer:

$32b^{3} +56b^{2}$

Step-by-step explanation:

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