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kramer
3 years ago
6

Y is directly proportional to x squared if y=20 when x=2 find y when x= 5

Mathematics
1 answer:
N76 [4]3 years ago
7 0

Answer:

y = 125

Step-by-step explanation:

Given that,

y is directly proportional to x² i.e.

y=kx^2

k is a constant of proportionality

Put y = 20 and x = 2 in the given equation to find k.

k=\dfrac{y}{x^2}\\\\k=\dfrac{20}{(2)^2}\\\\k=5

Now put k = 5 and x = 5 in the given equation to find y.

y=5\times (5)^2\\\\y=125

So, the value of y is equal to 125.

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The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
leva [86]

Answer:

6 weeks 27kilo

12 weeks 54 kilo

Step-by-step explanation:

4.5*12=54

4.5*6=27

3 0
3 years ago
One number is 3 less than 5 times another number. The sum of the numbers is 27. What are the two numbers? Enter your answers in
kaheart [24]

x ,y are the numbers

x = 5y-3

x+y = 27

substitute first equation into the second

(5y-3) +y =27

combine like terms

6y-3=27

add 3 to each side

6y=30

divide by 6

y=5

x = 5y-3

x=5*5-3

x=22

the two numbers are 22 and 5


5 0
3 years ago
A rectangular field has side lengths of 2/3 mile and 3/4 mile. What is the area of the field.
Ray Of Light [21]
A = LW
A = 2/3 * 3/4
A = 6/12 = 1/2 miles^2
4 0
3 years ago
Jamie kicked a soccer ball that traveled along a path described by the parabola y = -x^2 +8x, where y equals the height of the s
andrey2020 [161]
We have that
<span>y = -x</span>²<span>+8x

we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x</span>²+8x--------> x²-8x=0----> x*(x-8)=0

the solution is
x=0
x=8

the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft

the answer is
8 ft

see the attached figure

6 0
3 years ago
Read 2 more answers
Please help!!! thank you
Dahasolnce [82]
That’s the answer because I couldn’t type it out! Hope it helped!

8 0
3 years ago
Read 2 more answers
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