Answer:
145
Step-by-step explanation:
75% of 200 = 150
75% + 15% = 90%
100% - 90% = 10%
10% of 200 = 20
10% of 150 = 15
150 + 15 - 20 = 145
145 friends attended the party.
Answer:
reggie made an error
the correct scale factor is 2/3
Step-by-step explanation:
we want to get from A to A', B to B', and ultimately C to C'
to get there, we must multiply each value in each point by the scale factor.
let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A
for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor
now, onto hillary's scale factor of 2/3
for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error
the correct scale factor is thus hillary's: 2/3
So we can call first number "n"
Then all five integers would be n, n+1, n+2, n+3, n+4
So sum of them would be 5n + 10 = 100
Now you can solve for n:
5n + 10 = 100
5n = 90
n = 18
Verify: 18 + 19 + 20 + 21 + 22 = 100. All good.
So answer is 18
