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Helga [31]
2 years ago
10

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choos

e three?
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
8 0

<u>Ashely have </u><u>56 ways</u><u> to choose from</u>

This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.

<h3 /><h3>Permutation</h3>

This is the process of arranging a particular set of data in different ways.

Since Ashely is choosing 3 desserts out of 8 in no specific ways

P=\frac{n!}{(n-r)!}

Where n = total number of ways available

r = total numbers that would be selected.

Data given

  • n = 8
  • r = 3

Let's substitute these values into the equation.

P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56

From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.

Learn more about permutation here;

brainly.com/question/11871015

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1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

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2 years ago
During practice, the Northwood football team drinks
elena-s [515]

Answer:

The third option (C) Yes, because there is enough water in the cooler for about 81 cups total.Step-by-step explanation:

5 0
2 years ago
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The perimeter of a rectangular garden used 86 feet of barbed wire. The length of the garden is 7 feet more than its width. Find
Taya2010 [7]

Answer:

Step-by-step explanation:

perimeter of a rectangle  = twice the length  plus  twice the width

P = 2L + 2W    equation 1      P = 86 ft

Given the length is seven feet more than the width

L = W + 7         equation 2

Substitute equation 2 into equation 1

P = 2(W+7) + 2W    =  86 ft

     2W +14 + 2W    =  86 ft

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6 0
2 years ago
A bank features a savings account that has an annual percentage rate of r=5.2% with interest compounded quarterly. Marcus deposi
Aloiza [94]

Answer:

Part A)

P=\$8,500\\ r=0.052\\n=4  

Part B) S(7)=\$12,203.47  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

S(t)=P(1+\frac{r}{n})^{nt}  

where  

S is the Future Value  

P is the Present Value  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

Part A)

in this problem we have  

P=\$8,500\\ r=5.2\%=5.2/100=0.052\\n=4  

Part B) How much money will Marcus have in the account in 7 years?

we have

t=7\ years\\ P=\$8,500\\ r=0.052\\n=4  

substitute in the formula above  

S(7)=8,500(1+\frac{0.052}{4})^{4*7}  

S(7)=8,500(1.013)^{28}  

S(7)=\$12,203.47  

6 0
3 years ago
How many times does 20 go into 74??
Dima020 [189]
About three times. Just divide 74 by 20 which is 3 but exactly it is 3.7. 
                        hoped it helped
7 0
3 years ago
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