A piggy bank contains $2.40 in nickels and dimes. If there are 33 coins in all, how many nickels are there?

1 answer:

4 0

Let’s let the number of nickels be x. Then the number of dime must be 33-x.then 5x+10(33-x)=240 5x+330-10x=240 330 5x=240 x5=90x=18

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How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the pl

klio [65]

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

<h3>What is the combination formula?</h3>

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

$^mC_k = \dfrac{m!}{k! \times (m-k)!}$

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

$^mC_k = \dfrac{8!}{3! \times (5)!} \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040$

Hence, There are 47,040 ways to form a soccer team.

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1 year ago

Each pepperoni slice is 78 of an inch long and costs $0.03. Exactly enough pepperoni slices are laid end to end to have a total

Leokris [45]

The total cost of these pepperoni slices is $1.92

<h3>What is the total cost of these pepperoni slices?</h3>

Each slice measures 7/8 of an inch. Here we have N slices, such that the measure of the N slices is 56 inches, then we have:

N*(7/8 in) = 56 in

Now we can find the value of N, the number of slices used:

N = (8/7)*56 = 64

And each slice costs $0.03, then the cost of the 64 slices is:

C = $0.03*64 = $1.92

The total cost of these pepperoni slices is $1.92

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A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init

Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

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$A(x) = 0.09x + 25$

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