Answer:
x = 10
Step-by-step explanation:
1) Subtract x from both sides.
4x − x = 30
2) Simplify 4−x to 3x
3x = 30
3) Divide both sides by 3
x = 
4) Simplify
to 10
x = 10
Answer:
<em>The largest number of glasses of juice Isabella can have from the carton is 8.</em>
Step-by-step explanation:
<u>Ratios</u>
Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:

There are 1,000 milliliters in one liter, thus the carton has a capacity of
C t= 1.75*1,000 = 1,750 milliliters
Thus,

n=8.75
Since we cannot have 8.75 glasses, we round to the previous integer, then:
The largest number of glasses of juice Isabella can have from the carton is 8.
x equals 4 and y equals 5 . so the formula would be 5x+12y=80 and if we need 4 of the small boxes we sub x for 4 and we get 5(4) =20. Next, 80 minus 20 is 60, and the equation would now be 12y=60. we now divide both sides by 12 and we get left with y=5. 5x + 12y = 80 5(4) + 12(5)=80 20+60=80. That is all. I hope that doesn't sound confusing
Answer:

Step-by-step explanation:
A exponential function is represented by

where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.

b to the 0th power equal 1 so


Our equation is for now

Now let plug in 1,30

Divide 5 by both sides

Anything to the 1st power is itself so b equal 6.
So our equation is

Answer:
x = 6
Step-by-step explanation:
Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:
5x - 3 = 3x + 9
2x = 12
x = 6