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balu736 [363]
3 years ago
12

Adam has two kinds of fruit punch left over from a party. He mixes 5 liters of fruit punch A with 10 liters of fruit punch B to

create fruit
punch C. Fruit punch A contains 25% orange juice and the resulting fruit punch C contains 35% orange juice.
What percent orange juice does fruit punch B contain?
OA. 20%
OB. 50%
OC. 40%
OD 25%
Mathematics
1 answer:
beks73 [17]3 years ago
4 0

Answer:

A. 20%

Step-by-step explanation:

fruit punch A is half of fruit punch B so times 35 by 2 and then subtract 50. 50 came from 25 times 2.

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Line contains the points (0,4) and (2,0). Show that the points (-25,81) does or does not lie on line
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Answer:

(- 25, 81) does not lie on the line

Step-by-step explanation:

We can use the slope m to determine if (- 25, 81) lies on the line or not

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 0)

m = \frac{0-4}{2-0} = \frac{-4}{2} = - 2

now if (- 25, 81) lies on the line then the slope between (- 25, 81) and either of the 2 points on the line should equal - 2

(x₁, y₁ ) = (- 25, 81) and (x₂, y₂ ) = (2, 0)

m = \frac{0-81}{2+25} = \frac{-81}{27} = - 3

The slopes are not equal hence (-25, 81) does not lie on the line



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Mateo is culturing bacteria that have a growth rate of 5.3% per hour. If the current population is 38,762 bacteria, how many bac
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..Given:

\begin{gathered} a=38762 \\ r=5.3\%=\frac{5.3}{100}=0.053 \\ t=20 \end{gathered}

To Determine: The number of bacteria after 20 hours

Using the future value formula for growth rate

\begin{gathered} P_a=P_c(1+r)^t \\ P_a=(Bacteria,final,population) \\ P_c(Bacteria,current,population)=38762 \\ r(rate)=0.053,t(time,in,hour)=20 \end{gathered}

Therefore

\begin{gathered} P_a=38762(1+0.053)^{20} \\ P_a=38762(1.053)^{20} \\ P_a=38762(2.809101) \\ P_a=108886.39 \\ P_a\approx108886 \end{gathered}

Hence, population of bacteria in 20 hours is 108,886

8 0
2 years ago
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