B = hourly rate for babysitting and w = hourly rate for working at water park
3b + 10w = 109...multiply by -8
8b + 12w = 177...multiply by 3
----------------------
-24b - 80w = - 872 (result of multiplying by -8)
24b + 36w = 531 (result of multiplying by 3)
---------------------add
- 44w = - 341
w = -341/-44
w = 7.75 <=== hourly rate for working at water park
3b + 10w = 109
3b + 10(7.75) = 109
3b + 77.50 = 109
3b = 109 - 77.50
3b = 31.50
b = 31.50/3
b = 10.50 <== hourly rate for babysitting
Answer: $2.75
Step-by-step explanation:
Zeke's helmet cost 3/5 x 28.75 = 17.25
Change = 20 - 17.25 = 2.75
Answer is 4 lb.,12 oz.
As one pound has 16 ounces.
When we convert the given 5 lb. into ounces we multiply it by 16.
5 lb = 5 x 16 oz
5 lb = 80 oz
When we subtract 4 oz from 80 oz
We get
80 - 4 = 76 oz
Which is
64 oz + 12 oz
(16 x 4) oz + 12 oz
Which will be
4 lb. + 12 oz
So the answer will be
4 lb., 12 oz.
Answer:
$62.60
Step-by-step explanation:
C(190) = 22 + 0.1*190 = 22 + 19 = $41
C(406) = 22 + 0.1*406 = 22+40.6 = $62.60
That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground
so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds