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1 year ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

Mathematics

1 answer:

weeeeeb [17]1 year ago

6 0

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

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A rectangular field is enclosed by 360 feet of fencing. What is the length, in feet, of the field if it’s length is 6 feet more

Orlov [11]

Answer:

The Field's length is 93ft

Step-by-step explanation:

P=2L+2w

360=2(w+6)+2w

360=2w+12+2w

360=4w+12

348=4w

348/4=w

87=w

L=w+6

L=87+6

L=93

7 0

1 year ago

2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250

Maurinko [17]

Answer:its 275 for 1, and 325 for 2

Step-by-step explanation:

i did it

3 0

1 year ago

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Celia bought a bag of 121212 goldfish for \$3$3dollar sign, 3.

muminat

Celia bought a bag of 12 goldfish for $3, Cost of 1 goldfish is $0.25 .

Step-by-step explanation:

The goldfish is a freshwater fish in the family Cyprinidae of order Cypriniformes. It is one of the most commonly kept aquarium fish. A relatively small member of the carp family, the goldfish is native to East Asia.

Here we have , Celia bought a bag of 12 goldfish for $3 . We need to find the cost of 1 goldfish . Let's find out:

Celia have a bag of 12 goldfish which cost her $3 . So , cost of 1 goldfish is equivalent to

⇒ $(1)\frac{12}{3}$

⇒ $(1)\frac{3(4)}{3}$

⇒ $\frac{1}{4}$

⇒ $0.25$

Therefore, Celia bought a bag of 12 goldfish for $3 , Cost of 1 goldfish is $0.25 .

5 0

1 year ago

If LO = 15x+19 and QN = 10x+2 find PN

svet-max [94.6K]

Answer:

$PN=64\ units$

Step-by-step explanation:

The complete question is

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

$QN=\frac{1}{2}LO$

substitute the given values

$10x+2=\frac{1}{2}(15x+19)$

solve for x

$20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3$

Find the length of PN

Remember that

$PN=LO$ ----> diagonals of rectangle are congruent

$LO=15x+19$

substitute the value of x

$LO=15(3)+19=64\ units$

therefore

$PN=64\ units$

8 0

1 year ago

The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.

DochEvi [55]

Answer:

There are two rational roots for f(x)

Step-by-step explanation:

We are given a function

$f(x) = x^6-2x^4-5x^2+6$

To find the number of rational roots for f(x).

Let us use remainder theorem that when

f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.

Substitute 1 for x

f(1) = 1-2-5+6=0

Hence x=1 is one solution.

Let us try x=-1

f(-1) = 1-2-5+6 =0

So x =-1 is also a solution and x+1 is a factor

We can write f(x) by trial and error as

$f(x) = (x-1)(x+1)(x^2-3)$

We find that $f(x) (x^2-3)$ factor gives two irrational solutions as

±√3.

Hence number of rational roots are 2.

5 0

1 year ago

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