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Vsevolod [243]
3 years ago
13

During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth

of an hour
Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

It will take Sarah 2 1/2 hours to mow 10 lawns

It will take Sarah 1 2/3 hours to clean 10 pools

Step-by-step explanation:

During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

Number of lawns : Time to mow lawns = 6 : 1 1/2

= 6 : 3/2

Number of lawns : Time to mow lawns = 10 : x

6 : 3/2 = 10 : x

6 ÷ 3/2 = 10/x

6 * 2/3 = 10/x

12/3 = 10/x

Cross product

12 * x = 3 * 10

12x = 30

x = 30/12

x = 2 6/12

x = 2 1/2 hours

It will take Sarah 2 1/2 hours to mow 10 lawns

Number of pools cleaned : time taken = 1 : 1/6

Number of pools cleaned : time taken = 10 : x

1 : 1/6 = 10 : x

1 ÷ 1/6 = 10/x

1 * 6/1 = 10/x

6 = 10/x

Cross product

6 * x = 10

6x = 10

x = 10/6

x = 1 4/6

x = 1 2/3 hours

It will take Sarah 1 2/3 hours to clean 10 pools

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Groceries cost $75. The tax is 5%. Will you have enough money to pay for the groceries if you have $80. Please explain.
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Answer:

Yes, we have enough money to pay for the groceries.

Step-by-step explanation:

We are given that Groceries cost $75. The tax rate is 5%.

We have to check that will the amount of $80 enough to pay for the groceries or not.

<em>For this we will firstly calculate the total cost of groceries after applying tax rate of 5% on groceries. </em>

Cost of groceries after applying tax rate is given by;

Since we know that by applying a tax on any item it's cost gets increased.

So, <u>Cost of groceries after tax</u> = Cost of groceries before tax + Amount of tax      

Amount of tax = Tax rate \times Cost of groceries

                        = 5% \times $75

                        = \frac{5}{100} \times 75 = $3.75

So, Cost of groceries after tax = $75 + $3.75 = $78.75

Since we have an amount of $80 with us which means that we are able to buy the groceries after giving tax on it as $78.75 < $80.

Therefore, yes we have enough money to pay for the groceries.

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Step-by-step explanation:

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A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately
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A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?

A certain allergen affects approximately 7 people per 10,000 in the United States. Assuming the U.S. population is approximately 324 million people, how many people suffer from this allergen?
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3 years ago
Deon has a pizza with a diameter
OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

     = π(10)²/4

     = 25π

     = 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

    = 10²

    = 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

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