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a_sh-v [17]
3 years ago
9

The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y. x=1,y=0.5

Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

y = 0.5x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 1, y = 0.5

k = \frac{y}{x} = \frac{0.5}{1} = 0.5

y = 0.5x ← equation of variation

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X^2y^8/x^7y^6 if x= -2 and y= 4
damaskus [11]

Answer:

- \frac{1}{2}

Step-by-step explanation:

Given

\frac{x^2y^8}{x^7y^6}

= \frac{y^{(8-6)} }{x^{(7-2)} }

= \frac{y^2}{x^5} , substitute values

= \frac{4^2}{(-2)^{5} }

= \frac{16}{-32}

= - \frac{1}{2}

7 0
3 years ago
A slow pitch softball diamond is actually a square 60 ft on a side. how far is it from home to second ​base?
krek1111 [17]
For this case we have a square whose sides are known and equal to 60 ft.
 We want to find the diagonal of the square.
 For this, we use the Pythagorean theorem.
 We have then:
 d^2 = 60^2 + 60^2

d =  \sqrt{60^2 + 60^2}

 d =  \sqrt{3600 + 3600}

d = \sqrt{2*3600}

d = 60\sqrt{2}

 Answer:
 
from home to second ​base it is about:
 d = 60\sqrt{2} feet
3 0
3 years ago
Please help!
mariarad [96]

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

5 0
3 years ago
in an election for sheriff 210 people voted if there where 1260 possible voters write a ratio to compare the number of people wh
ale4655 [162]
210:1260

If simplified it is

1:6

If Hope this helped if any question feel free to ask!! :D

6 0
3 years ago
Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew
slamgirl [31]

Answer:

11

Step-by-step explanation:

11x5+10=65

6 0
3 years ago
Read 2 more answers
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