Answer & Step-by-step explanation:
It increased by 10 each year
Year 1 of 8: 70
Year 2 of 8: 80
Year 3 of 8: 90
Year 4 of 8: 100
Year 5 of 8: 110
Year 6 of 8: 120
Year 7 of 8: 130
Year 8 of 8 (Final Year): 140
-----------------------------------------------------------------
<u><em>Hope this helps!!! :)</em></u>
Answer:
Because the number would be multiplied by an even number, which is 2. If the number (odd or even) is multiplied by two, then the result would be an <em>even number</em>.
Proof:
2(1) = 2
2(6) = 12
2(7) = 14
2(3) = 6
The number would then be added by an odd number, which is 1. If an even number is added with an odd number, then the result would be an odd number.
Proof:
2 + 1 = 3
12 + 1 = 13
14 + 1 = 15
6 + 1 = 7
<em>Answer:</em>
<em>a is greater than 1, so a−1 is positive.</em>
<em />
<em>The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a−2 is negative.</em>
<em />
<em>b is negative, so −b is positive.</em>
<em />
<em>The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a+b is negative.</em>
<em />
<em>a−b = a+−b. Since b is negative, −b is positive. a is also positive. Thus, a−b is positive.</em>
<em />
<em>Since |a| and |b| are both greater than 1, |ab| is also greater than 1 (this builds on the intuition students gained in fifth grade as in 5.NF.5). ab is negative since a is positive and b is negative. Thus, ab+1 is negative.</em>
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
