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masha68 [24]
3 years ago
15

joe goes to a mexican resturant and orders nachos. He can have just cheese or any of the following: chicken, onions, sour cream,

or olives. how many different variations of nachos are possible
Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
Since there is no specific order at which he can select the ingredient, in this case we shall use the combinations to compute for the variation of nachos Joe can have. This will be given by:
5C1
=5
We therefore conclude that Joe will have 5 variations

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On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for
Tomtit [17]

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot​ summer's day

  • 391 people used the public swimming pool
  • The daily prices are $1.25 for children and $2.25 for adults
  • The receipts for admission totaled $752.75

We need to find how many children and how many adults swam at the public pool that​ day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

  equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
The population of Peru is 10904 the population of Franklin is 25248. The population of Franklin is percent more than the populat
LekaFEV [45]

Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

\dfrac{14344}{10904} X 100

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

6 0
3 years ago
Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.
Crazy boy [7]
It's directly proportional, so
m=kw

Find the value of k
900=k(18)
k= 50

Answer: m=50w
6 0
3 years ago
Read 2 more answers
The mean of 15 numbers is 12. An extra number is included and the mean increases to 13. What the extra number?
Studentka2010 [4]

Answer: 28

Step-by-step explanation:

The mean of 15 numbers = 12

Then , the sum of the numbers = 12x15 = 180

Let the extra number included be x , then

The new sum = x + 180

And the new total number will increase from 15 to 16

new mean = 13 , so we have :

\frac{x+180}{16} = 13

x+ 180 = 16(13)

x + 180 = 208

x = 208 - 180

x = 28

therefore , the extra number is 28

5 0
3 years ago
Priya has picked 1 3/4 cups of raspberries. She uses 1/5 cup of raspberries for a bottle of jam. How many bottles of jam can she
Scilla [17]

Answer:

=8 \dfrac{3}{4} jams

Step-by-step explanation:

Given that:

Priya has 1\dfrac{3}{4} \ cups \ of \ raspberries

If she uses \dfrac{1}{5} cups \ on \ jam

∴

Then she will be able to make:

=1\dfrac{3}{4} \div \dfrac{1}{5}

= \dfrac{7}{4} \times \dfrac{5}{1}

= \dfrac{35}{4}

=8 \dfrac{3}{4} jams

4 0
3 years ago
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