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Marina86 [1]
3 years ago
8

Anton has 3 8/7​ cups of syrup that he serves with his pancake orders. He uses 2/3 cup of syrup for each pancake order. What is

the maximum number of complete pancake orders that Anton can serve with the syrup he has?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

6 3/14 pancake order s

Step-by-step explanation:

The question above is calculated as:

2/3 cup of syrup = 1 pancake order

3 8/7 cups of syrup = x

Cross Multiply

2/3 × x = 3 8/7 × 1

x = 3 8/7 ÷ 2/3

x = 29/7 ÷ 2/3

x = 29/7 × 3/2

x = 87/14

x = 6 3/14 order

The maximum number of complete pancake orders that Anton can serve with the syrup he has is 6 3/14 pancake orders

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saw5 [17]

volume of a sphere is 4/3 * PI * r^3

r = 6

r^3 = 6^3 = 216

4/3 * 216 = 288

 Volume = 288 PI in^3

3 0
4 years ago
Farmer Rew started with 92 quects on his farm. Every month, he
Ira Lisetskai [31]

Answer:

y = 5x + 92

y = 9x + 27

Step-by-step explanation:

Slope intercept form is written as y = mx + b, and you know that y represents "quects" and x represents months.

For farmer Rew, b would be 92 because that is how many "quects" he started off with. m would be 5 because that is how many new "quects" he gets every month. (y = 5x + 92)

For farmer Joogh, b would be 27 because she started off with 27 "quects." m would be 9 because she gets 9 new "quects" every month. (y = 9x + 27)

6 0
3 years ago
24 points algebra 1 help!
Mademuasel [1]

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principal = 3x+10

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8 0
4 years ago
6x+x-8=6x+6 solve the equation for x​
marysya [2.9K]

Answer:

x = 14

Step-by-step explanation:

6x+x-8=6x+6

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7x -8 = 6x+6

Subtract 6x from each side

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5 0
3 years ago
An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with
Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 4.9

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 36}{4.9}

Z = -0.2

Z = -0.2 has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

3 0
3 years ago
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