Answer:
Some 224 people were in favor of the expansion.
Step-by-step explanation:
Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:
1/4 = 0.25
100 = 1004
22.25 = X
1004 x 22.25 / 100 = X
223.39 = X
Thus, some 224 people were in favor of the expansion.
Problem 1 Answer: x = 2/3y+8
Show Work:
Step 1: Add 2y to both sides.
3x−2y+2y=24+2y
3x=2y+24
Step 2: Divide both sides by 3.
3x/3 = 2y+24/3
x = 2/3y+8
Problem 2 Answer: x=−2y+48
Show Work:
Add -2y to both sides.
x+2y+−2y=48+−2y
x=−2y+48
Answer:
D. 25°
Step-by-step explanation:
Answer:
The numbers are 23 and 7
Step-by-step explanation:
1. Set up the equations
Let x = the greater number
and y = the smaller number. Then
(1) x - y = 16
4y = 4 times the smaller number and
4y - 5 = 5 less than 4 times the smaller number. Then
(2) x = 4y - 5
You have a system of two equations:
2. Solve the equations
The larger number is 23; the smaller number is 7.
3. Check
OK.
Answer: x ≤ -5.5
reason:
first, multiply 4x and -2 by 1/2 and 6x and 9 by -2/3.
this makes the equation 2x-1-4x-6 ≤ 4
combine like terms to make it -2x-7 ≤ 4
add 7 to both sides to get -2x ≤ 11
divide both sides by -2 and get x ≤ -5.5
