Answer:
Step-by-step explanation:
4. A = P + Prt
a. Solve for r
Prt = P - A
r = (P - A)/Pt
b. Solve for t
Prt = P - A
t = (P - A)/Pr
5. Ax + By = C
a. By = C - Ax
y = (C - Ax)/B
b. Ax = C - By
x = (C - By)/A
6. y = mx + b
a. mx + b = y
mx = y - b
x = (y - b)/m
b. mx + b = y
mx = y - b
m= (y - b)/x
c. mx + b = y
b = y - mx
Answer:
2x - 15
3a + 17
1000/y
Step-by-step explanation:
1.
15 less means subtract 15
twice a number is 2x
Answer: 2x - 15
2.
increased by 17 means add 17
3 times a number is 3a
Answer: 3a + 17
3.
1000 divided by y number of employees
Answer: 1000/y
The number is xy
x+y=12
10y+x=54+10x+y
so
x+y=12
minus x both sides
y=12-x
sub that for y
10(12-x)+x=54+10x+(12-x)
120-10x+x=54+10x+12-x
120-9x=66+9x
add 9x both sides
120=66+18x
minus 66 both sides
54=18x
divide both sides by 18
3=x
sub back
y=12-x
y=12-3
y=9
the number is 39
