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1 year ago

Jack popped some popcorn, but 3 of the 150 kernels did not pop.

Mathematics

1 answer:

den301095 [7]1 year ago

7 0

Answer:

"Snack B and C are same ratio"

Step-by-step explanation:

We need to reduce each fraction and determine whether the ratios are same or not.

3/150 = 1/50

Checking A:

2/75 = 1/37.5

So, this is not equal to 1/50

Checking B:

4/200 = 1/50

THis is the same, so this is equal to 1/50

Checking C:

1/50

it is directly given, so this is equal as well

Hence, Snack B and C are same ratio.

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A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form e

sasho [114]

M=slope
In this case the slope would be $25
y=mx+b
y=25x+45

Answer: m=25

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2 years ago

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The area of a small pond is 78.5 yds. What is the diameter of the pond?

Zolol [24]

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ $\pi\ r^2$

where $r$ represents radius of the pond.

Thus, we have:

⇒ $\pi\ r^2=78.5$

Using $\pi=3.14$

⇒ $3.14r^2=78.5$

Solving for $r$

Dividing both sides by 3.14

⇒ $\frac{3.14r^2}{3.14}=\frac{78.5}{3.14}$

⇒ $r^2=25$

Taking square root both sides.

⇒ $\sqrt{r^2}=\sqrt{25}$

⇒ $r=\pm5$

So, radius = 5 yd, as distances are always positive.

Diameter = $2\times radius=2\times 5\ yd= 10\ yd$

Thus, diameter of pound = 10 yd

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2 years ago

The library is 1.75 miles directly north from the school. The park is 0.6 miles directly south of the school. How far away is th

Kryger [21]

Answer:

2.35 miles

Step-by-step explanation:

Please find the attachment for visual understanding.

We are told that the library is 1.75 miles directly north from the school and the park is 0.6 miles directly south of the school.

To find distance between library and park we will add distance of library from school to the distance of park from school.

$(1.75+0.6)\text{ miles}=2.35\text{ miles}$

Therefore, library is 2.35 miles away from park.

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2 years ago

To make a profit, a clothing store sells jeans at 115% the amount they paid for them. How much did the store pay for the jeans s

Svetllana [295]

Answer:

The store paid 6.67 times the profit made on the jeans

Step-by-step explanation:

Let the amount the clothing store pay for Jean be X

Let the amount the clothing store sells Jean be Y = X ×1.15

The profit (P) made is the difference between amount the clothing store sells Jean and the amount paid for Jean = Y - X = 1.15X - X

Profit (P) = 0.15X

X = P/0.15 = 6.67P

Therefore, the store paid 6.67 times the profit made on the jeans

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1 year ago

You offer senior citizens a 20 percent discount on their meal prices served at your cafeteria. Assuming that an average of 150 s

scoray [572]

Given, there are an average of 150 citizens eat daile in the cafeteria.

The average price of their meals = $5.95.

The discount given for sinior citizens in their meals = 20%

So we have to find 20% of $5.95 first.

20% of $5.95 = $(5.95)(\frac{20}{100} )$

= $\frac{(5.95)(20)}{100}$

= $\frac{119}{100}$

= $1.19$

So, the amount of discount given to the senior citizens = $1.19 per head.

As there are 150 cinior citizens daily.

So total discount given daily = $ $(150)(1.19)$ =$ $178.5$

So we have got the required answer.

Option C is correct here.

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2 years ago

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