11 a. Since she runs 10km in one hour she runs 5km in half an hour and 25km in 2 and a half hours
11b. Since she runs 5 miles in one hour she runs 2.5 miles in half an hour and 12.5 mils in 2 and a half hours
11 c. Since 1.60934 kilometers = 1 mile, Clair ran the farther distance
12 a. 13.20/6 = 2.2 dollars for 1 bowl
12 b. 9/3 = 3 and if he got 3 sets of 3 free bowls he bought 24 pairs of glasses
12 c. If Malcom bought 24 pairs of glasses 24*1.80 = 43.2, so he spent 43.2 dollars on glasses
13 a. 6 to 4 or 6:4
Step-by-step explanation:
13.
132 miles in 3 h = 132miles/3hours = 132/3 miles/h =
= 44 miles/h
so,
how long for 110 miles ?
speed = distance/time
time = distance/speed = 110 miles / 44 miles/h =
= 110/44 h = 55/22 h =
= 5/2 h = 2.5 h
14.
60% = 60/100 = 6/10 = 3/5
15.
300% = 300/100 = 3
16.
116 2/3% = (348 + 2)/3% = 350/3% = 350/3/100 =
= 350/300 = 1 50/300 = 1 1/6
17.
19% = 19/100
18.
3.8% = 3.8/100 = 38/1000 = 19/500
19.
166 2/3% = (498 + 2)/3% = 500/3% = 500/3/100 =
= 500/300 = 5/3 = 1 2/3
20.
4/5 = 0.8 = 80%
21.
7/4 = 1.75 = 175%
22.
1/3 = 0.3333333... ≈ 33.33%
23.
2 = 200/100 = 200%
24.
0.4 = 40%
25.
0.375 = 37.5/100 = 37.5%
26.
80% of 60 = 60×80/100 = 60×4/5 = 48
27.
24% of 65 = 65×24/100 = 65×6/25 = 13×6/5 =
= 15.6
28.
115% of 138 = 138×115/100 = 138×23/20 =
= 69×23/10 = 158.7
29.
18.3% of 74 = 74×18.3/100 = 74×183/1000 =
= 37×183/500 = 13.542 ≈ 13.54
30.
6.5% of 115 = 115×6.5/100 = 115×65/1000 =
= 23×13/40 = 7.475 ≈ 7.48
31.
0.75% of 93 = 93×0.75/100 = 93×75/10000 =
= 93×3/400 = 0.6975 ≈ 0.70
Answer:
21
Step-by-step explanation:
f(x) = 2x^2 + 3
f(-3) = 2(-3)^2 + 3
f(-3) = 2(9) + 3
f(-3) = 18 + 3
f(-3) = 21
The Hudson river valley-NYC was originally New Amsterdam
