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Alex777 [14]
2 years ago
10

after henry gave away 2/3 of his stamps and ken gave away 3/4 of his the two boys had an equal number of the stamps left. they h

ad 1156 stamps at first how many stamps did they have left altogather
Mathematics
1 answer:
Anna35 [415]2 years ago
3 0

Answer:

See below.

If the correct sum is 1155, then Ken had 495 stamps, and Henry had 660 stamps.

Step-by-step explanation:

Henry had h stamps.

Ken had k stamps.

After giving away 2/3 of his stamps, Henry ended up with 1/3 of his stamps, or h/3.

After giving away 3/4 of his stamps, ken ended up with 1/4 of his stamps, or k/4.

h/3 = k/4

h + k = 1156

4h = 3k

h = 1156 - k

4(1156 - k) = 3k

4624 - 4k = 3k

4624 = 7k

k = 4624/7

Stamps left: 0.25 × 4624/7 = 1156/7

h = 1156 - k

h = 1156 - 4624/7

h = 8092/7 - 4624/7

h = 3468/7 =495.43

Stamps left: 1/3 × 3468/7 = 1156/7

Total number of stamps left: 1156/7 + 1156/7 = 2312/7 = 330.29

The problem is solved correctly, but the numbers given must be incorrect since you cannot have a fraction of a stamp.

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Hitman42 [59]

Answer:

The answer is demographic.

Step-by-step explanation:

When a food distributor considers changing the products it markets in the southern states because of an increasing percentage of customers from Central and South America, it is examining the DEMOGRAPHIC forces at work in the southern United States.

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3 years ago
10 divided by 2 and 1/4
Strike441 [17]
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Miles is planning to spend 2/3 as many hours Bicycling this week as he did last week is Miles going to spend more hours were few
Firlakuza [10]

Answer: Yes, He bicycled fewer in this week than last week.

Step-by-step explanation:

Let he bicycled x hours in the last week,

Then, According to the question,

\text{ He bicycled in this week} = \frac{2}{3} \text{ of the hours he bicycled last week} = \frac{2x}{3}

\text{ Since, }1 > \frac{2}{3}

\implies x > \frac{2x}{3}

\text{ He bicycled in the last week} > \text{ he bicycled in this week}

Hence, He bicycled fewer in this week than last week.


3 0
3 years ago
Corey average score after each test is 91% if he gets 78% on his next test what will his new average be
Marianna [84]
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3 0
3 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the
NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

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 = 71.9, \sigma = 7.8

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

-0.995 = \frac{X - 71.9}{7.8}

X - 71.9 = -0.995*7.8

X = 64

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

-1.28 = \frac{X - 71.9}{7.8}

X - 71.9 = -1.28*7.8

X = 62

Grades between 62 and 64 result in a D grade.

6 0
3 years ago
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