Answer:
The correct answer is option B and D.
Step-by-step explanation:
A. Shawn owed 40% of his tuition bill, b, after paying $6.00
= 40%of (b-6)
B. The amount donated to the school was 40% more that $6.00.
Amount donated to the school = b
b=6+40% of b
C. The cost for a coat was 40% of the sum of b and $6.00.
= 40%(b+6)
D. Summer paid $6.00 more than 40% of b.
Amount by summer = x
= 40%b+6
Answer:
there are 25 boys and 35 girls
Step-by-step explanation:
if you draw out 5 lines to represent the boys and 7 lines each to represent girls to equal enough to make 60 you need 5 times of this. 5x5=25 boys. 7x5=35 girls. 25+35=60
Answer:
NM corresponds with DC, and the scale factor is 3
Answer:
20.25
Step-by-step explanation:
i think its asking for the long side
the pythagorean theorem states that in a right triangle a^2+b^2=c^2
a is 19
b is 7
c is the long side
19^2= 361
6^2= 49
361+49=410
410 =c^2
square root of 410 = ~20.25
Let n = 1
then f(1) = 1^1 - 1 + 2 = 2 so it is true for n = 1
for the next number after n ( n+1) we have f(n+1) =
(n+1)^2 - (n+1) + 2
= n^2 + 2n + 1 - n - 1 + 2
= n^2 + n + 2
= n(n+1) + 2
Now n(n+1) must be divisible by 2 because either n is odd and n+1 is even OR n is even and n+1 is odd and odd & even always = an even number.
So the function is divisible by 2 for n+1 We have shown that its true for n = 1 Therefore it must be true for n = 1,2,3,4 ...
True for all positive integers