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lawyer [7]
3 years ago
10

24 x1/3

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

9514 1404 393

Answer:

  8

Step-by-step explanation:

  24\times\dfrac{1}{3}=\dfrac{24}{3}= \dfrac{3\cdot8}{3}=\dfrac{3}{3}\cdot8 = 1\cdot8 = \boxed{8}

__

Multiplying by 1/3 is the same as dividing by 3.

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A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0
3 years ago
What is the point of symmetry for the circle (x + 2)2 + (y â 4)2 = 25?
irina [24]
It's its center:

(-2, 4)

Can't read y-4 or y+4, change the sign.

y-4 ---> SOLUTION: (-2,4)

y+4 ---> SOLUTION: (-2, -4)
3 0
3 years ago
The principal would like to assemble a committee of 4 students from the 16-member student council. How many different committees
mamaluj [8]

Answer:

4?

Step-by-step explanation:

4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4?

3 0
3 years ago
Adam jogs at an average speed of 10km/h from his house to the airport. The airport is 7km away from his house. At what time must
mote1985 [20]

Answer:

6:38am

Step-by-step explanation:

From the question we are told that

Average speed V_{avg}=10km/h

Distance traveled d=7km

Generally the velocity across a distance is mathematically given given as V=d/t

10=\frac{7}{t}

t=0.7h\\t=42minutes

Therefore

7:20-42 minutes =6:38am

8 0
2 years ago
Does anyone understand this if so can someone tell me how I do this and explain how to do it thank you!
dexar [7]

The ending balance for January 2018 was $1056.37

Step-by-step explanation:

Step 1; Whenever you make a payment, make a cash withdrawal, a payment through debit card or an automatic payment the money in your account decreases as you're giving your money to someone else. So the amount of money spent or taken is reduced from the balance in your account.

Whenever you get your paycheck or make a deposit the money you have in your account increases. So the amount of money put in or the money you are paid is added with the balance you have in your account.

Step 2; Total deposits mean all the money that was added into your account. In this month's summary, the individual didn't deposit any money into their account but did get paid twice. They got paid their paycheck twice. The amount paid was $645.30. So total amount deposited was 2 * $645.30= $1290.60.

Step 3; Total withdrawals were all the payments you made to someone else. In the month of January payments were; $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill and $148.46 for the phone bill. All these amounts were deducted from the account balance.

Step 4; So this is how to calculate the final balance.

$398.26 was the initial balance, $ 158.25 to the plumber, $168.36 for the car payment, $157.42 for the cable bill, $645.30 was paid through a paycheck, $148.46 for the phone bill and another $645.30 was another paycheck.

So the balance was = $398.26 - $158.25 - $168.36 - $157.42 + $645.30 - $148.46 + $645.30 = $1,056.37

6 0
3 years ago
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