Answer: 48x-12
Step-by-step explanation:
(y-y1) = m(x-x1)
y-2 = 5(x-6)
Therefore, point (x1,y1) lies on the line of equation
Therefore, point (6,2) lies on the line with the point slope equation y-2=5(x-6)
x= morning
y = afternoon
x + y = 10
x=10-y
5x + 6y =57
5(10-y) +6y =57
50-5y +6y =57
y=7
x=10-7 =3
check 3*5 = 15, 7*6 = 42, 42 + 15 = 57
3 morning practices
Answer:
Devin will need 9 cubes of wax.
Step-by-step explanation:
To find the volume of the pyramid, you use (area of the base)* height of the pyramid divided by 3. You know the volume of a cube of wax is 32 cm^3. The volume of your pyramid is 270 cm^3. 270/32=8.4375.
Once you get 8.4375 cubes, you round to the next whole number, which is nine.
We need to find two relations, and use them to find the value of y when z = 15.
We will see that the value of y in that case is 4,860.
We know that <u>y varies inversely with the square of x</u>, also <u>y is also proportional to the cube of z</u>
Then we can write:
y = k/x^2
y = c*z^3
We also know that:
When x = 3, y = 80.
Replacing that in the first equation to find the value of k:
80 = k/3^2
80 = k/9
80*9 = k = 720
We also know that when x = 2, z = 5
From the first relation we have:
y = 720/2^2 = 720/4 = 180
Now we replace this in the equation of y and z:
y = c*z^3
180 = c*5^3
180 = c*125
180/125 = c = 1.44
Now we need to calculate y when z = 15, then we just need to replace z by 15 in the equation for y and z:
y = 1.44*(15)^3 = 4,860.
If you want to learn more, you can read:
brainly.com/question/2548537
