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RoseWind [281]
3 years ago
11

Manny runs 15 3/4 miles each week. Zander runs 5/6 as many miles each week as Manny.

Mathematics
1 answer:
Serggg [28]3 years ago
3 0

Answer:

Zander runs 13\frac{1}{8}\ miles each week.

Step-by-step explanation:

Given :

Manny runs 15\frac{3}{4} mile each week

Zander runs \frac{5}{6} as many miles each week as Manny

To find how man miles does Zander run each week.

Solution:

From the given data we can say that Zander runs \frac{5}{6}  of the total distance Manny runs.

So, miles run by Zandure can be calculated as:

⇒ \frac{5}{6}\ of\ 15\frac{3}{4}\ miles

⇒ \frac{5}{6}\times15\frac{3}{4}\ miles

<em>To multiply mixed numbers, we first write them as fractions:</em>

<em />15\frac{3}{4}=\frac{4(15)+3}{4}=\frac{63}{4}<em />

So, we have:

⇒ \frac{5}{6}\times \frac{63}{4}

On simplifying, we get:

⇒ \frac{105}{8}\ miles

<em>Since we need answer in mixed number, so we convert it to mixed number.</em>

<em>On dividing 105 by 8 we get 13 as quotient and 1 as remainder.</em>

So,  ⇒ \frac{105}{8}\ miles =13\frac{1}{8}\ miles

Thus, Zander runs 13\frac{1}{8}\ miles each week.

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The winery sold 81 cases of wine this week. If twice
nydimaria [60]

Answer:

Option (C)

Step-by-step explanation:

Let the red cases sold = r

and the number of white cases sold = w

Total number of cases sold by the winery = 81

r + w = 81 -------(1)

If number of red cases sold is twice of white cases sold,

r = 2w ------- (2)

By substituting the value of r from equation (2) to equation (1),

2w + w = 81

3w = 81

w = 27 cases

From equation (1),

r + 27 = 81

r = 54 cases

Therefore, number of white cases sold are 27 cases

Option (C) is he answer.

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3 years ago
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Michael is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%, what is the sale
Anna35 [415]

Answer      

Find out the  what is the sale price of the jeans including tax .

To prove

Let us assume that the sale price of the jeans including tax be x .

As given

Michael is buying a pair of jeans that regularly cost $40.

They are on sale for 20% off.

If the tax rate is 8% .

20% is written in the decimal form

= \frac{20}{100}

= 0.20

8% is written in the decimal form

= \frac{8}{100}

= 0.08

Than the equation becomes

x = 40 - 40 × 0.20 + 40 × 0.08

x = 40 - 8 + 3.2

x = 43.2 - 8

x = $35.2

Therefore the sale price of the jeans including tax be $ 35.2 .



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3 years ago
A line segment is defined as a part of a straight line connecting two points called
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Answer: D

Step-by-step explanation:

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Step-by-step explanation:

Ig, hope it helps

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