Answer: 60 hours.
Step-by-step explanation:
Let be "x" the amount of hours Nick practice in March and "y" the amount of hours Nick plans to practice in April.
Set up a system of equations:
Applying the Substitution Method, we can substitute the first equation into the second equation in order to find the value of "y". Therefore you get this result:
Answer:
n = 150
Step-by-step explanation:
If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)
and the cost function of her store is C = 16n + 750 ........ (2)
Now, at break-even point, the revenue of a business is equal to its cost.
Therefore, r = C
{From equations (1) and (2)}
⇒ 21n = 16n + 750
⇒ 5n = 750
⇒ n = 150
So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)
Because you if it changes its a function
Answer:
Translate the circles so they share a common center
point, and dilate circle Y by a scale factor of 3.
Step-by-step explanation:
^^^
Answer:
x = 28
Step-by-step explanation:
let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)
Now,
The sum of three consecutive integers is 90
i.e.,
(x + 1) + (x + 2) + (x + 3) = 90
x + 1 + x + 2 x + 3 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28
x = 28Thus, The value of x is 28
<h2>
<em><u>VERIFICATION</u></em><em><u>:</u></em></h2>
(x + 1) + (x + 2) + (x + 3) = 90
(28 + 1) + (28 + 2) + (28 + 3) = 90
28 + 1 + 28 + 2 + 28 + 3 = 90
90 = 90
