Answer: 50.0
Step-by-step explanation:
1. Add 45+55=100
2. Divide 100 by 2 =50
3. Add a decimal after 50.0
Answer:
<h2>11.25min</h2>
Step-by-step explanation:
In this problem, we first need to find the rate at which syn burns calories per minute
so in 15mins, he burns 200 calories
in 1 mins he will burn x
x= 200/15
x=13.33 calories per min this is the rate
So in one minute he will burn 13.33 calories
Now using the idea of rate=quantity/time
the rate=13.33
quantity=15 calories
time=?
time=quantity/rate
time=150/13.33
time=11.25min
Alternatively
(very fast approach)
if syn spend 15min to burn 200 cal
then he will spend x min to burn 150 cal
cross multiply
x=(150*15)/200
x=2250/200
x=11.25mins
<span> Let x = the width
Let 2x = the length
Let h = the height
</span>then vol = x*2x*h. So we have 2x^2*h = 24
h=24/(2*x^2)=12/x^2
Surface area: two ends + 1 bottom + 2 sides (no top)
S.A. = 2(x*h) + 1(2x*x) + 2(2x*h)
S.A. = 2xh + 2x^2 + 4xh<span> S.A. = 2x^2 + 6xh
</span>Replace h with 12/x^2
S.A = 2x^2 + 6x(12/x^2)
S.A = 2x^2 + 6(12/x)
S.A = 2x^2 + (72/x)
Graph this equation to find the value of x for minimum material
Min surface area when x = 3.0 is the width<span> then
</span>2(3) = 6 is the length
Find the height:
h=12/(3.0)^2
h=1.33
Box dimensions for min surface area: 3.0 by 6 by 1.33; much better numbers
Check the vol of these dimensions: 3.0*6*1.33 ~ 24
graphic attachment
Answer:
56.88
Step-by-step explanation:
2 ways to do this
45.50 x 25% = 11.375
45.50 + 11.375 = 56.875
and that rounds to 56.88
for option 2 I recommend a calculater
45.50 + 25% = 56.875
56.88
Answer:
At least 7 girls: 0.5^7 OR 0.0078125
At least 8 girls: 0.5^8 OR 0.00390625