One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do
since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get
, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
Answer:
5.25 miles
Step-by-step explanation:
15 min=1/4 of hour
12/4=3
9/4=2.25
3+2.25=5.25
Answer:
D. $1.95
F. $3
Step-by-step explanation:
dimes: x + 2
quarters: x
x + 2 + x = 12
2x + 2 = 12
2x = 10
x = 5
dimes: x + 2 = 5 + 2 = 7
quarters: x = 5
Total value: (7 * .10) + (5 * .25) = $1.95
_____
dimes: x
quarters: 2x
x + 2x = 15
3x = 15
x = 5
dimes: x = 5
quarters: 2x = 2(5) = 10
Total value: (5 * .10) + (10 * .25) = $3
B = 2
B is basically whatever number the line passes through on the Y - Axis
Answer:
Step-by-step explanation:
This is consider a linear pattern (arithmetic pattern).
We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.
So -10 is the slope of this linear pattern.
The equation for a linear pattern is:
y=mx+b
where x represents the position the term is in
and
where y represents the actual term
and
where m is the slope
So we have y=-10x+b.
(x,y)
(term position in sequence, actual term)
(1,140)
(2,130)
(3,120)
(4,110)
We can find b by using a number with it's position in the sequence (that is plug in one of your points above).
y=-10x+b
140=-10(1)+b
140=-10+b
150=b (after adding 10 on both sides)
The explicit equation for the sequence is y=-10x+150.
They probably prefer you to write: instead.
