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rodikova [14]
4 years ago
7

Find an equation of variation where y varies directly as x and y = 2 when x = 10, find y when x = -25.

Mathematics
1 answer:
Eddi Din [679]4 years ago
4 0

Answer:

y = ⅕x; -5

Step-by-step explanation:

y = kx

k = y/x     Divided both sides by x

k = 2/10

k = ⅕

y = ⅕x

The equation of variation is y = ⅕x.

If x = -25,

y = ⅕(-25) = -5

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What kind of association is this, negative or positive?​
erik [133]

Answer:

negative association

Step-by-step explanation:

This diagram is a scatter plot which represents a set of data.  Data on a scatter plot can fit one of three descriptions:  positive (increasing), negative (decreasing) or no association (points do not form any kind of line).  Given this data and the line of best fit, or the line that pass through the majority of the points, it is a decreasing line.  Since the line goes downhill, it is a negative association.  

7 0
4 years ago
On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adult
amid [387]

Answer:

Number of children = 386

Number of adults = 287

Step-by-step explanation:

Let

x = number of children

y = number of adults

x + y = 673 (1)

1.75x + 2y = 1249.50 (2)

From (1)

x = 673 - y

Substitute x = 673 - y into (2)

1.75x + 2y = 1249.50

1.75(673 - y) + 2y = 1249.50

1177.75 - 1.75y + 2y = 1249.50

- 1.75y + 2y = 1249.50 - 1177.75

0.25y = 71.75

y = 71.75/0.25

y = 287

Substitute y = 287 into (1)

x + y = 673

x + 287 = 673

x = 673 - 287

x = 386

Number of children = 386

Number of adults = 287

3 0
3 years ago
Find the volume of the figure.<br> 2.25 m<br> 4<br> m<br> 2.5 m<br> no
liberstina [14]

<u>Given</u>:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

<u>Volume of the triangular prism:</u>

The volume of the triangular prism can be determined using the formula,

V=\frac{1}{2}bhl

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

V=\frac{1}{2}(2.5)(2.25)(4)

V=\frac{1}{2}(22.5)

V=11.25 \ m^3

Thus, the volume of the triangular prism is 11.25 m³

4 0
3 years ago
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