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3 years ago

Each bowl can hold 1/4 cup of nuts. Taisha has 3 3/8 cup of nuts. How many full bowls can she make?

Mathematics

1 answer:

aksik [14]3 years ago

7 0

Answer:

13 bowls

Step-by-step explanation:

To figure out how many bowls of nuts she can make, we divide how many cups of nuts she has by how many cups of nuts in a bowl

3 3/8 ÷ 1/4

Lets change 3 3/8 into an improper fraction

3 3/8 = (8*3 +3)/8 = 27/8

27/8 ÷ 1/4

Copy dot flip

27 /8 * 4/1

27/2

2 goes into 27 13 times with 1 left over

13 1/2

She will have 13 full bowls of nuts

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Two ladders are leaning against a building, forming two similar triangles as shown below. The top of the longer ladder is 28 fee

postnew [5]

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

20x + 300 = 420

20x = 420-300

20x = 120

x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

x^2 = 1,225

x = √1225

x = 35 ft

7 0

2 years ago

Nemos aquarium is filled with 2400 cm of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the w

SSSSS [86.1K]

The answer to this question is 10 cm

In this question, you asked the height and given the volume of water(2400cm3), aquarium length(20cm), and aquarium width(12cm).

Then you need to divide the volume with the length and width. The equation would be:

Aquarium height= volume / length / width

Aquarium height= 2400 cm3 / 20cm / 12 cm = 10cm.

7 0

3 years ago

Emily and Jasmine had the same number of stamps. After Emily gave 42 stamps to Jasmine, Jasmine had twice as many stamps as Emil

kirza4 [7]

There are 84 because if they have the same amount and when you add 42 it's doubled 42+42=84 84/2=42 so she will end up with 84

3 0

3 years ago

Read 2 more answers

Factor the expression.

yanalaym [24]

Answer:

3(5n -6)

Step-by-step explanation:

15n -18

Both 15 and 18 can be divided by 3

Factor out a 3

3(5n -6)

4 0

3 years ago

A seven digit telephone number is of the form ABC-DEFG. In one particular state, the

yKpoI14uk [10]

Answer:

Choice B. 5,114,880 (There's a digit missing in the problem.)

Step-by-step explanation:

You must see the number of choices you have for each digit. Then you multiply all those numbers of choices together.

There are 7 digits in the phone number, so you will be multiplying 7 numbers together.

_ * _ * _ * _ * _ * _ * _

First digit: any digit except 8 and 9.

Since you exclude 2 digits from the 10 possible digits, there are 8 choices left.

8 * _ * _ * _ * _ * _ * _

Second and third digits: any digit from 1 and 8.

Any digit from 1 to 8 means: 1, 2, 3, 4, 5, 6, 7, 8. That means there are 8 choices.

8 * 8 * 8 * _ * _ * _ * _

Last four digits: no restrictions (for now), so there are 10 choices for each digit. We will deal with the restriction of 4 equal digits below.

8 * 8 * 8 * 10 * 10 * 10 * 10

The product of the 7 numbers above is:

8 * 8 * 8 * 10 * 10 * 10 * 10 = 5,120,000

The last 4 digits cannot all be thee same. There are 10 ways they can all be the same: 0000, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999.

Each of the combinations of the first 3 digits cannot have 10 combinations of equal digits.

The number of combinations of the first 3 digits is: 8 * 8 * 8 = 512.

Each of these 512 combinations cannot have 10 combinations of equal digits for the last 4 digits. 512 * 10 = 5120.

We must subtract 5120 from 5,120,000 to find the final answer.

5,120,000 - 5120 = 5,114,880

6 0

3 years ago

Read 2 more answers