Formula of the sum of the 1st nth term in a Geometric Progression:
Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)
Sum = (-11)[1-(-5⁸)] /[(1-(-5)]
Sum = (-11)(1- 390625)/(6)
SUM = 716,144
Yes they do. In order to do this you must make the fraction 70/2 and 105/3. If you divided each one of those you get 35 for both which means it's a proportion.
Answer: If the 40% off coupon is used, the subtotal will be $12.69
The gratuity would be exactly $4.23 (He will probably leave $4.25)
Step-by-step explanation: To find out the amount of the discount
.40 × 21.15 = 8.46
To find the new subtotal, subtract 12.15 - 8.46 = 12.69
To figure the tip: .20 × 21.15 = 4.23
Changing the percent to a decimal means divide the 20 by 100.
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
Answer:
We use addition because -16 is negative, and we need to cancel out its value so we add 16 to both sides, leaving 0+x, or x, on the left and combining like terms on the right.
Step-by-step explanation: