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MA_775_DIABLO [31]
3 years ago
14

In a direct variation, y=18 when x=9. Write a direct variation equation that shows the relationship between x and y

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

Answer:

y = 2x

Step-by-step explanation:

since x and y vary directly then the equation is

y = kx ← k is the constant of variation

to find k use the given condition y = 18 when x = 9

k = \frac{y}{x} = \frac{18}{9} = 2, hence

y = 2x ← is the equation relating x and y


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What is the distance between Harry’s home and his office?
Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

Speed(s)=\frac{Distance(d)}{Time(t)}

Given:

Speed (<em>s</em>) = 30 miles/hour

Then the relation between distance and time is:

s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)

If Speed was 60 miles/hour the time taken is (t-\frac{1}{4}) hours.

Then the relation between distance and time is:

s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)

Use the value of <em>d</em> = 30t in (ii)

<em />d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour<em />

Determine the distance as follows:

d=30t\\=30\times\frac{1}{2} \\=15\ miles

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0
4 years ago
Andreas patio is composed of a rectangle and a semi circle as shown in the figure below which is the best estimate of the area o
Vladimir79 [104]

Answer:

38.13m²

Step-by-step explanation:

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Area of rectangle :

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Length = 8m ; width = 3m

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A = 1/2 * 3.14 * 9

A = 14.13 m²

Area of patio :

(24 + 14.13)m²

= 38.13m²

8 0
3 years ago
Can someone help me?
mart [117]
-2 + 8 = 6

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3 0
4 years ago
There are 3 quarters, 4 dimes and 7 nickels in a change purse. Suppose 3 coins are selected without replacement. What is the pro
qwelly [4]
Prob of just quarter is 3/14 for a dime is 4/14 and for a nickel its 7/14
then all you do is multiply them all together to get 306122449/<span>10000000000 that took me way to long</span>
6 0
3 years ago
Read 2 more answers
What integer on a number line is the same distance from 0 as +4?
mash [69]
-4, because it is four units away from zero.
6 0
3 years ago
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