The food service gave out 80 samples, which is 4 fewer than 70% of the total number of samples they prepared. Lets make x the total number of samples they prepared.
So lets write it as an equation
80 = (70% of x) -4
70% converts to a decimal by moving the decimal point 2 spaces up, so it is 0.7
80 = 0.7x-4
Add 4 to both sides of the equation
84 = 0.7x
Divide both sides by 0.7 to isolate the x
x = 120
The food service prepared 120 samples.
Answer:
The answer is =15s+6
Step-by-step explanation:
3(5s + 2)
=15s+6
72.9°
use tangent.
from the corner y look for the opposite and adjacent sides to your angle.
the opposite side from corner y is 13
the adjacent side from the corner is 4
tanY = 13/4
Y = inverse tangent of 13/4
72.897
Answer:
66
Step-by-step explanation:
you have to find the median, and then find the median within the second half of the median
Median : 61
Now, look at 61, and look at 74. What is the median of those numbers in this set?
Q₂ = 66
Start by dividing all terms by 4, to reduce this expression: |x+1| < 3.
Case 1: x+1 is already positive. The abs. val. operator does not change
anything. Then x+1<3, or x<2.
Case 2: (x+1) is negative. The abs. val. operator, in effect, puts a - sign in
front of (x+1): -(x+1)<3. Distributing the - sign: -x - 1 < 3. Adding 1 to both sides: -x < 4. We want to solve for positive x, so we mult. both sides of
-x<4 by -1 AND change the direction of the inequality symbol:
x > -4
Thus, the solution set is (-4,2): All real numbers between -4 and 2.