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fredd [130]
2 years ago
9

The variables x=9 and y=15 vary directly. Write an equation that relates the variables

Mathematics
2 answers:
snow_tiger [21]2 years ago
8 0
I love your profile picture 56
erik [133]2 years ago
7 0

Answer:

x = 0.6y.

Step-by-step explanation:

x = ky  is direct variation where k is some constant;

Now we find k:-

Substituting for x and y:

9 = k*15

k = 9/15 = 0.6

So the equation is

x = 0.6y.

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
In triangle ABC, point D is the centroid, and BD = 6. Find BE.
pshichka [43]

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

2x=6

x=\dfrac{6}{2}

x=3

Now,

BE=BD+DE

BE=6+x

BE=6+3

BE=9

Therefore, the measure of side BE is 9 units.

6 0
3 years ago
The lines below are parallel. If the slope of the green line is -2, what is the
Andreas93 [3]

Answer:

C. -2

Step-by-step explanation:

All parallel lines have the same slope

4 0
2 years ago
2 parts compost, 6 parts potting soil for 10 kg of mix. How many kg of compost
likoan [24]

Answer:

Step-by-step explanation:

A proportion could be used.

With 2 parts of compost and 6 parts potting soil, you would end up with 8 total parts.

So it can be written as a ratio of compost to total mix, or \frac{2}{8}

The problem states 10 kg are needed in total, and the variable would be the amount of compost

As a ratio it would be \frac{x}{10}.

Use the ratios to write a proportion.

\frac{2}{8} = \frac{x}{10}

Multiply both sides of the equation by 10

\frac{20}{8} = x

Convert to a decimal if desired.

x=2.5

3 0
3 years ago
A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally. what profit does she
Slav-nsk [51]

The profit earned by the gift shop owner on fifty vases will be $ 91.07.

<h3>What is profit?</h3>

The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.

The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.

The total cost price of vases:-

50 vases = $210

1 Vase = 210 / 50 = 4.25

So 10 vases will be purchased at the price of:-

10 Vase = 4.25 x 10 = 42.5

Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.

7 Vase = 42.5

1 Vase = 42.5 / 7 = 6.07

So he sold one vase for $6.07 and purchased it at $4.25.

The profit will be = 6.07 - 4.25 = 1.821

So profit for selling 50 vases will be:-

Profit = 50 x 1.821 = $91.07

Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.

To know more about profit follow

brainly.com/question/25623677

#SPJ1

6 0
2 years ago
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