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2 years ago

The variables y and x^2 are directly

Mathematics

1 answer:

choli [55]2 years ago

6 0

Answer:

y = $\frac{20}{21}$ x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = $\frac{20}{21}$

y = $\frac{20}{21}$ x² ← equation of proportion

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Marysya12 [62]

Answer:

29,25,C

Step-by-step explanation:

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3 years ago

Ryan drove 480 miles and used 20 gallons of gas. How many miles did Ryan's car get per gallon? Write an equation that would solv

lisabon 2012 [21]

Answer:

24 miles per gallon

Step-by-step explanation:

Step one:

given data

total distance covered= 480miles

The total amount of gallons used is = 20

The miles per gallon

= 480/20

=24 miles per gallon

Step two:

hence the equation that we used in solving the problem is stated as

miles per gallon= total distance/total gallon sused

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3 years ago

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult tick

kirill115 [55]

Answer:

child's ticket = 4.75 adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

4 0

3 years ago

Kanye and jay wanted to see who could run faster in a minute.They both started in the same spot and ran in different directions.

Lena [83]

Answer:

Kanye run faster.

Step-by-step explanation:

Given that,

Time = 1 min = 60 sec

Suppose, we find the speed of kanye and Jay.

According to number line,

Kanye covers the -160m distance and Jay covers the 140 m distance.

Negative sign shows the opposite direction.

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Where, v = speed

d = distance

t = time

Put the value into the formula

$v=\dfrac{160}{60}$

$v=2.66\ m/s$

We need to calculate the speed of Kanye

Using formula of speed

$v=\dfrac{d}{t}$

Put the value into the formula

$v=\dfrac{140}{60}$

$v=2.33\ m/s$

The speed of kanye is more than jay.

Hence, Kanye run faster.

6 0

3 years ago

Describe and correct the error in evaluating the expression.<br> 9 + 2 x 3 = 11 x 3 = 33

Vinil7 [7]

Answer:

so basically is right how you write but multiplication goes first

3 0

3 years ago