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mr_godi [17]
3 years ago
13

ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are

3 tennis rackets. Draw a model to show the ratio of tennis balls to tennis rackets.

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

\frac{x}{y}=\frac{5}{3}

see the model in the attached figure N 1

so

y=\frac{3}{5}x

y=0.60x

This is the equation of a linear direct variation

The relationship between the variables x and y is proportional

see the model in the attached figure N 2

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a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is
nekit [7.7K]

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

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Jason is 22 years older than his sister joan. in 9 years, he will be twice as old as joan. how old is each of them now?
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Katyanochek1 [597]

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for
butalik [34]

Answer:

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Step-by-step explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

From the question,

There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

Then,

x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

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Put the value of y into equation (3) to get x

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Then

x = 7 - 3

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Hence, 4 people ordered streak dinner

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