Answer:
(5×3x)+(5×y)
Step-by-step explanation:
=15x+5y ans
Answer:
.55
Step-by-step explanation:
You want to shorten the decimal to just to two after the decimal point. If so for example, .443 would be shortened to .44, but if the third number is 5 and up, you would take the second number after the decimal point and add 1. For example,
.446 would round up to .44, which is why .5524 would round to .55
Answer:
18
Step-by-step explanation:
Since this is a multiple choice question, I will employ the guess and check method - meaning I will check each answer one by one.
Variable x = dimes = $0.10
Variable y = quarters = $0.25
Set up a system of equations:
x + y = 38
x(0.10) + y(0.25) = 6.80
Plug in each choice into the second equation. You can find the number of quarters that correspond to each number of dimes by using the first equation.
20 dimes:
20 + y = 38
y = 18
20(0.10) + 18(0.25) = 6.80
2 + 4.5 = 6.80
6.5 does not equal 6.80
Because dimes (x) are worth less than quarters (y), this result tells us the answer will be less than 20 dimes as with 20 or more we have less than $6.80. Another example just to show this is true:
38 dimes:
38 + y = 38
y = 0
38(0.10) + 0(0.25) = 6.80
3.8 + 0 = 6.80
3.8 does not equal 6.80.
Since x is worth less than y, we need more of y rather than x. Adding more x will only mean we will get a lower price. Adding more y will mean we get a higher price which is what we need. So only solve for x that is less than 20.
6
6 + y = 38
y = 22
6(0.10) + 32(0.25) = 6.80
0.60 + 8 = 8.60
8.60 does not equal 6.80.
This result is higher than what we wanted (6.80) which means we need more x. Now we only have to solve for x numbers that are greater than 6 and less than 20.
18
18 + y = 38
y = 20
18(0.10) + 20(0.25) = 6.80
1.8 + 5 = 6.8
6.8 does equal 6.8.
Correct!
Answer:
A The sum of the first 11 terms is 88
Step-by-step explanation:
Since -4 - (-7) = -1 - (-4) = 2 - (-1) = 3
Your sequence is an arithmetic sequence with a common difference of 3.
The formula for the sum of an arithmetic sequence is
where 
In your case 
, n = 11 and 
We know everything except the eleventh term.
So, we need to find the eleventh term or 
= 
+ (n - 1)d
= -7 + (11 - 1)3
= -7 + 30 = 23
Now, S = 
The sum of the first 11 terms is 88
