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3 years ago

The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.

Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

9514 1404 393

Answer:

a) k = 2/5

b) y = 2/5x

c) y = 2 3/5

Step-by-step explanation:

The proportional relation is described by the equation ...

y = kx . . . . . . k is the constant of proportionality

The value of k can be found by dividing the equation by x:

y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45

k = 2/5

As above, the equation is ...

y = kx

y = 2/5x

Using 6.5 for x, we have ...

y = (2/5)(6.5) = 2.6 = 2 3/5

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3 years ago

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The ratio of customers who purchase items with coupons to customers who don't use coupons is 6 to 16. If 9 customers use coupons

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Answer:

24 customers will not use coupons.

Step-by-step explanation:

Number of customers who use coupons = 9

Number of customers who don't use coupons = x

Ratio of customers who use coupons to customers who don't use coupons = 6:16

$=\frac{6}{16}$

$\frac{9}{x}=\frac{6}{16}$

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4 years ago

This is a problem that I have to solve with matrixes, Please show me all of the work. I will award brainliest.

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Answer:

The total points by Washington High School = 162 points

The total points by Johnson High School = 159 points

The total points by Roosevelt High School = 108 points

The total points by Lewis High School = 196 points

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places = 10 x ( 10) = 100 points

6 second places = 6 x ( 8) = 48 points

2 first places = 2 x ( 7) = 14 points

So, the total points by Washington High School = Sum of all points

= 100 + 48 + 14 = 162 points .............. (1)

About Johnson High School

8 first places = 8 x ( 10) = 80 points

9 second places = 9 x ( 8) = 72 points

1 first places = 1 x ( 7) = 7 points

So, the total points by Johnson High School = Sum of all points

= 80 + 72 + 7 = 159 points .............. (2)

About Roosevelt High School

4 first places = 4 x ( 10) = 40 points

5 second places = 5 x ( 8) = 40 points

4 first places = 4 x ( 7) = 28 points

So, the total points by Roosevelt High School = Sum of all points

= 40 + 40 + 28 = 108 points .............. (3)

About Lewis High School

3 first places = 3 x ( 10) = 30 points

3 second places = 3 x ( 8) = 24 points

6 first places = 6 x ( 7) = 42 points

So, the total points by Lewis High School = Sum of all points

= 30 + 42 + 24 = 96 points .............. (4)

Now, comparing all four equation, we get that:

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points = 162 - 159 = 2 points

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3 years ago

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2 years ago

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One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o

docker41 [41]

18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

<em><u>Solution:</u></em>

Given that,

<em><u>A swimming pool is in the shape of a rectangular prism</u></em>

Length = 20 feet

Width = 10 feet

Height = 5 feet

<em><u>Find the surface area of prism</u></em>

$A=2(wl+hl+hw)$

Where, "l" is the length and "w" is the width and "h" is the height

$A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700$

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

$1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33$

Thus 9.33 quarts of paint is needed to cover 700 square feet

How many quarts should you buy to paint the swimming pool with two coats of paint

For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint

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3 years ago