Direct variation:-
y = kx where k is a constant
y=12 when x=6 so we have:-
12 = k*6
k = 12/6 = 2
so our equation of variation is y = 2x Answer
Answer:
B
Step-by-step explanation:
Given 2 quantities that vary directly, then the graph must pass through the origin.
Nikiya's graph is the only one to do this ⇒ B
Answer:
5 units
Step-by-step explanation:
If you look at AC that has 4 units and DE is close to 4 units but a little bigger by a unit
Use the formula S=P-PD
S is sale price, original price is P, and PD is discounted percent,
276.25=P-P(.65), I turned the percent into a decimal.
276.25=P(1-.65)
276.25=P(1-.65)
276.25=P(.35)
Now cross multiply.
Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
