A Sum of $14 is made of 92 coins consisting of dimes and quarters. How Many are there of each kind of coin

2 answers:

7 0

So first I would say, what if all of them were dimes, how far away would it be from $14?

So 92 coins * 10 cents = $9.20

So it's 4.80 dollars away from 14 dollars.

So if we were to switch one to a quarter, it would increase by 0.15 cents.

So we want to see how many increases we need to reach 4.80 dollars more.

4.80/0.15 = 32

So there are 32 quarters and 60 dimes.

boyakko [2]3 years ago

7 0

Answer:

30 quarters and 60 dimes

hope this helps :)

You might be interested in

Slope -3; y intercept -4

levacccp [35]

Y=-3x-4 is the equation

6 0

3 years ago

A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11, the average attendance has been 27

sasho [114]

Answer:

$15.625

Step-by-step explanation:

Let the revenue collected be R and price per spectator be p then the number of spectators be N. Therefore

R=Np

Using equation of slope of y=mx +c where m is gradient and c is y-intercept

When p=$11, N=27000 and when p=$8, N=31000

The gradient, m will be

$m=\frac {31000-27000}{8-11}= -1333.33$

To get the y-intercept

N=-1333.33p+c

When spectator number n is 27000, the price p is $11

27000=-1333.33(11)+c hence we solve c

c=27000+(11*1333.33)= 41666.67

Therefore, the linear equation is

N=-1333.33p+ 41666.67

Substituting the linear equation into R=Np we obtain

R=p(-1333.33p+41666.67)

$R=-1333.33p^{2}+41666.67p$

To obtain maximum revenue, we differentiate the above with respect to price hence obtain

0=2*-1333.33p+41666.67

$p=-\frac {41666.67}{2(-1333.33)}= 15.625$

Therefore, the price that maximizes revenue is $15.625

4 0

2 years ago

members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.

WITCHER [35]

When handling problems of this nature make sure you setup the equations.
x = number of times they rent a boat.

Members
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out.
Cost = 14.75x

so now to determin when cost would be equal we set the two equations = to each other

105 + 9.50x = 14.75x

now solve for x

105 = 5.25x

20 = x

so they would have to rent 20 times to equal each other.

4 0

2 years ago

What is the factored form of this expression?<br><br> x2 + 15x + 56

AlladinOne [14]

Step-by-step explanation:

${x}^{2} + 15x + 56$