Answer: she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.
Step-by-step explanation:
Let x represent the number of eggs that she uses for one batch of brownies.
Let y represent the number of eggs that she uses for one batch of cookies.
Last month, she made 2 batches of brownies and 3 batches of cookies. This means that
2x + 3y = 16 - - - - - - - - - -1
The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that
x + y = 6 - - - - - - - - - - - - - 2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
2x + 3y = 16
2x + 2y = 12
Subtracting, it becomes
y = 4
Substituting y = 4 into equation 2, it becomes
x + 4 = 6
x = 6 - 4 = 2
100 / 32 = 3.125
3.125 * 18 = 56.25.
Stan's bike ride is 56.25 miles long.
Answer:
- <u><em>Rounding to nearest tenth of centimeter, the ball bounces 192.1 cm high on the 5th bounce.</em></u>
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Explanation:
The <em>ball is dropped from a height of 900 centimeters</em>.
Since the heights form a <em>geometric sequence,</em> you can find a common ratio between consecutive terms. This is:
- Height bounce 2 / height bounce 1 = 560 / 800 = 0.7
- Height bound 3 / height bounce 2 = 392 / 560 = 0.7
Hence, the ratio of the geometric sequence is 0.7, and taking bounce 1 as the start of the sequence, the general term of the sequence is:
With that formula you can find any term:
Rounding to <em>nearest tenth of centimeter</em>, the ball bounces 192.1 cm high on the 5th bounce.
According to my calculations the following question provided should be number c
Answer:
About 12.68% increase
Step-by-step explanation:
Percent change can be found using:
difference between the values/original value
Difference:
The difference between 71 and 80
80-71=9
Percent Change:
difference/original
The difference is 9, and the original is 71
9/71= 0.12676056338
Convert to a percent by multiplying by 100
0.12676056338*100=12.676056338
Round the nearest hundreth: 12.68
About 12.68% increase
