Answer:
0.986
Step-by-step explanation:
2.5 times 0.986=2.465
Answer:
56 7/10
Step-by-step explanation:
convert 40 1/2 to a fraction 40 1/2 = 81/2
multiply both sides by 7/5
this gets w by itself on the left
81/2 x 7/5 = 567/10 = 56 7/10
Answer:
13.82 in.
Step-by-step explanation:
To find the circumference of a circle, you multiply the diameter by pi (
):
Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.
I hope this helps!
Answer:
12.75w + 25 = 114.25
w = 7
Step-by-step explanation:
since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet) we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.
to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:
12.75w = 89.25
now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.
now there's nothing left to take out to isolate w, so we have:
w = 7
sarah saved up for 7 weeks.
Answer:
A
Step-by-step explanation:
A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.
If |r| ≥ 1 then the geometric series diverges.
12/5 + 48/25 + 192/125 + ....
r = 192/125 ÷ 48/25 = 4/5
r = 48/25 ÷ 12/5 = 4/5
In the series, r is less than 1. So the series is convergent.
