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2 years ago

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Mr. Townes created a 2-foot wide garden path around a circular garden. The radius of the garden is 7 feet. He wants to cover the

path in stones. If Mr. Townes needs 1 bag of stones for every 5 square feet of path, how many bags of stones will he need 5o cover his garden path?

1 answer:

yaroslaw [1]2 years ago

6 0

See photo for solution

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Cindi is planting a rectangular flower bed with 40 orange flower and 28 yellow flowers. She wants to plant them so that each row

Vilka [71]

Answer: 17 rows, 7 of yellow flowers and 10 of orange flowers.

Step-by-step explanation:

We have 40 orange flowers

we have 28 yellow flowers.

The total number of flowers is 40 + 28= 68

Now, we want to find the maximal comon factor between 28 and 40 (that will be the number of flowers in each row)

for this, we took the smallest number and find its factors, and then we see if those factors are also of the greater number.

28/1 = 28 ----> 40/28 is not integer, so 28 is not a factor of 40.

28/2 = 14 ----> 40/14 is not integer, so 14 is not a factor of 40.

28/3 is not integer.

28/4 = 7 ----> 40/7 is not integer, so 7 is not a factor of 40.

28/5 is not integer.

28/6 is not integer.

28/7 = 4, 40/4 = 10, so 4 is a factor of both 28 and 40.

Then the maximum number of flowers that we can put in each row is 4.

this means that we have:

28/4 = 7 rows of yellow flowers (with 4 flowers each)

40/4 = 10 rows of orange flowers (with 4 flowers each)

a total of 17 rows.

3 0

2 years ago

The distribution of scores on a test is mound-shaped and symmetric with a mean score of 78. If 68% of the scores fall between

Salsk061 [2.6K]

Answer:

The standard deviation for the distribution of scores is 6.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 78

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from mean for a normal data.
for this rule almost all the data lies within on tandard deviation from the mean.

68% of the scores fall between 72 and 84, thus, we can write:

$\mu + \sigma = 84\\\mu - \sigma = 72\\78 - \sigma = 72\\\Rightarrow \sigma = 6$

Thus, the standard deviation for the distribution of scores is 6.

4 0

2 years ago

Mike drinks three 12-ounce servings of sweet tea per day.

Nat2105 [25]

Answer:

2 and a half cup

Step-by-step explanation:

A detailed look at the image attached will provide further explanation.

5 0

2 years ago

Mr harrles worked 40 houres this week he also got a bounuse of 180$ hemr.Abdulla took a takie from his home to the air port. The

Volgvan

Question:

Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip

Answer:

88 - 2.50x

Step-by-step explanation:

Given :

Initial charge = 12

Charge per kilometer = 2.50

Amount given to driver = 100

Let distance from home to airport = x

Total charge = (initial charge + (distance * charge per km)

Total charge = 12 + 2.50x

Change = (Amount given to driver - total charge)

Change = (100 - (12 + 2.50x))

100 - 12 - 2.50x

88 - 2.50x

3 0

2 years ago

International Juice Inc. plans to introduce a new line of fruit juices with three different flavors: cherry, grape and apple. 50

Tanya [424]

Cherry sales as a % of total sales = (0.5 x 1.2)/(0.5 x 1.2 + 0.2 x 1.4 + 0.3 x 1.6) = 0.6 / (0.6 + 0.28 + 0.48) = 0.6 / 1.36 = 0.4412 = 44.12%

Therefore, 44.12% of the total sales will be cherry.

8 0

2 years ago