Answer:
456[67]98
Step-by-step explanation:
Answer:
Allison = $0.27
Brianna = $1.89
Step-by-step explanation:
The total cookies that the three girls have are:
Allison's cookies + Brianna's Cookies
= 9+15
=24
There is a total of 24 cookies which has to be divided between the 3.
So
Each girl gets 24/3 = 8 cookies.
Since Celeste had no cookies she will have to pay for the 8 cookies.
Allison had 9, she will give one to Celeste
Brianna had 15 out of which she will use 8 for her self and 7 will be given to Celeste.
Celeste is paying 2.16 for 8 cookies.
Price of one cookie = 2.16/8
=$0.27
So, amount that will be given to Allison = 0.27 * 1 = $0.27
Amount that will be given to Brianna = 0.27 * 7 = $1.89
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y = 1 ⇒ <u>10x - 5y = 5</u>
y = -17
5x - 2(-17) = -6
5x + 34 = -6
<u> - 34 - 34</u>
<u>5x</u> = <u>-40</u>
5 5
x = -8
(x, y) = (-8, -17)
2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ <u>10x + 4y = 32</u>
<u>11y</u> = <u>2128</u>
11 11
y = 193.4545455
2x + 3(193.4545455) = 432
2x + 580.3636364 = 432
<u> - 580.3636364 - 580.3636364</u>
<u>2x</u> = <u>-148.3636364</u>
2 2
x = -74.1818182
(x, y) = (-74.1818184, 193.4545455)
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Answer:
f(n) = 2 + 5n. This is an arithmetic sequence.
Step-by-step explanation:
f(1) = 7
f(2) = 7 + 5
f(3) = 7 + 5 + 5 = 7 +10
f(4) = 7 + 5 + 5 + 5 = 7 + 15
In general,
f(n) = 7 + 5(n -1 )
= 7 + 5n - 5
= 2 + 5n
We have the sequence 7, 12, 17, 22, 27 …
This is an arithmetic sequence, because it is a sequence of numbers in which the <em>common difference</em> between consecutive terms is 5.