Answer:
- Nguyen family's sprinkler: 20 L per hour
- Reed family's sprinkler: 35 L per hour
Step-by-step explanation:
Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...
15n +25r = 1175 . . . . total sprinkler output
n + r = 55 . . . . . . . . . sum of two output rates
The second equation tells us we can substitute n = 55 -r into the first equation:
15(55 -r) +25r = 1175
10r = 1175 -825 . . . . . . subtract 825
r = 350/10 = 35 . . . . . . divide by 10
n - 55 -35 = 20 . . . . . . find n from r
Nguyen family's sprinkler: 20 L per hour
Reed family's sprinkler: 35 L per hour
66.67%
It is this because
To find percentage, we need to find an equivalent number with denominator 100. Multiply both numerator & denominator by 100
56
84
×
100
100
= (
56 × 100
84
) ×
1
100
= 66.67
100
Therefore, the answer is 66.67%
If you are using a calculator, simply enter 56÷84×100 which will give you 66.67 as the answer.
Answer:
A)
Step-by-step explanation:
Congruent figures are always similar. Similar figures have the same shape, but may have different sizes. A dilation may change the size, but it does not change the shape. If a figure is dilated into another, the two figures are always similar.
If you have a combination of congruence transformations and dilations, you will always end up with similar figures.
Answer: A)
Hey there! :)
Answer:
f(x + 5/4) --> f(x) is translated 5/4 units left.
f(x) - 5/4 --> f(x) is translated 5/4 units down.
Step-by-step explanation:
Recall that a linear equation in transformations form is:
f(x) = ±a(b(x-h))+k
In this instance:
f(x + 5/4) the 'h' value is -5/4, meaning the graph is translated 5/4 units left.
f(x) - 5/4 has a 'k' value of -5/4, so the graph is translated 5/4 units down.
Answer:
0.5:1
Step-by-step explanation:
laps:minutes
So we can find how much Ronald runs in 2 minutes, by dividing 6:12 (or 6/12) by 6. This will give you 1:2 (One lap = 2 minutes).
But you're looking for 1 minute, so with 1:2, you have to divide them by 1/2, so it will be 0.5:1.
