Which pair of fractions is equivalent to this pair?

Please help me on #18, don't know how to do the question.

svetlana [45]

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18

<u>Step-by-step explanation:</u>

It is given that, the birthday cake is in the shape of the cylinder.
Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.

<u>The volume of the cylinder is given by,</u>

Volume of the birthday cake = πr²h

After that, it was asked to find the volume of each piece of the cake.

In this case, the birthday cake is cut into 18 pieces.

We already know the total volume of the birthday cake which is πr²h.

In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.

Here, the whole part of the cake is 1.

The number of parts it has been divided after it is made into pieces = 18 parts.

Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.

8 0

2 years ago

Umbers to complete the problems below. 14. Marcy lives 1.15 miles away from her grandmother. What fraction represents the distan

joja [24]

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

<h3>How to convert decimal to fractions.</h3>

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

Learn more about fractions on:

brainly.com/question/17220365

5 0

1 year ago

I need help fast...... marking brainiest

mario62 [17]

Answer:

Step-by-step explanation:

1 cheeseburger and 20 fries

8 0

2 years ago

Read 2 more answers

The Key Club is having a fundraising dinner for charity. The venue that holds a maximum of 500 people will

Alexus [3.1K]

Answer:

$\dfrac{\$1000+\$20x}{x} \leq \$25$

Minimum 200 people other than the 2 charity representatives.

Step-by-step explanation:

Given that:

The venue can hold a maximum of 500 people.

Cost of venue = $1000

Per person cost for food = $20

Two charity representatives get to attend the dinner for free.

To find:

The inequality and to determine how many people must come to keep costs at most $25.

Solution:

Let the number of people attending the dinner = $x$

Cost of food for $x$ people = $\$20x$

Total cost = $1000 + $\$20x$

Cost per person = Total cost divided by Number of people attending the dinner.

As per question statement:

$\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200$

Therefore, the answer is:

Minimum 200 people other than the 2 charity representatives should attend the dinner.

8 0

2 years ago

Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.

algol [13]

Answer:

7/18

Step-by-step explanation:

First we need to find what values of sum we can have.

The minimum value for a cube is 1, so the minimum value for the sum is 2.

The maximum value for a cube is 6, so the maximum value for the sum is 12.

Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:

4, 6, 8, 12.

To have a sum of 4, we can have the pairs:

(1,3), (2,2), (3,1)

To have a sum of 6, we can have the pairs:

(1,5), (2,4), (3,3), (4,2), (5,1)

To have a sum of 8, we can have the pairs:

(2,6), (3,5), (4,4), (5,3), (6,2)

To have a sum of 12, we can have the pairs:

(6,6)

So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18

5 0

2 years ago