Mark has some nickels, dimes, and quarters in his pocket. He has three times as many quarters as nickels. He has five more dimes than nickels. The total amount he has in his pocket is $5. How many of each coin does he have

Answers

Answer 1

Answer: 15 quarters
10 dimes
5 nickels

five more dimes than nickels means we know there is at least 5 dimes, or 50 cents
if we subtract this from $5, we have $4.50.
With those 5 dimes gone, the number of dimes equals the number of nickels. If there are 3 times as many quarters as nickels, there are also 3 times as many quarters as dimes. So for every 3 quarters (0.75), there is one dime (0.10) and one nickel (0.05).
0.75 + 0.10 + 0.05 = 0.90
you find the number of remaining coins by dividing the total minus the 5 dimes (4.50) by 0.90.
4.50 ÷ 0.90 = 5
this is how many times 3 quarters, one dime, and one nickel go into 4.50
so, the answer to how many of each coin is:
3 quarters × 5 = 15 quarters
one dime × 5 = 5 plus the original 5 we took out = 10 dimes
one nickel × 5 = 5 nickels

to check answer:
5.00 = 15(0.25) + 10(0.10) + 5(0.05)
5.00 = 3.75 + 1.00 + 0.25
5.00 = 5.00 ✔

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A composite number can be written as the product of prime numbers

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that's true if its a distinct prime number I think.....

Given: f(x) = +5 and g(x) = x - 2.What are the restrictions of the domain of f(g(x))?
O X=-5
O X=-3
o * 2
o There are no restrictions.

Answers

Answer:

its b

Step-by-step explanation:trust

Answer:

14838388÷+113

Step-by-step explanation:

because it has two zeros

(-3,2) and ( 2,-13) slope intercept equation

Answers

Given:

The points are (-3, 2) and (2, -13).

To find:

Slope-intercept form of the equation.

Solution:

Here $x_1=-3, y_1=2, x_2=2, y_2=-13$ .

Slope of the line:

$$m=(y_2-y_1)/(x_2-x_1)$

$$m=(-13-2)/(2-(-3))$

$$m=(-15)/(5)$

m = -3

Using point-slope formula:

$y-y_1=m(x-x_1)$

$y-2=-3(x-(-3))$

$y-2=-3(x+3)$

$y-2=-3x-9$

Add 2 on both sides.

$y-2+2=-3x-9+2$

$y=-3x-7$

Slope-intercept form of the equation is y = -3x - 7.

A pencil measures 14 cm long. How many millimeters long is it?

Answers

14 cm is equal to 140 millimeters :)

$1\ cm - 10\ mm\n 14\ cm - 140\ mm$

an ice cream factory makes 190 quarts of ice cream in 5 hours how many quarts could be made in 48 hours?what was the rate per day

Answers

190/5= rate per hour 38

38 (rate per hour)*48 (given hours)= 1824 quarts

38(rate per hour)* 24 (hours in a day)= 912 quarts per day

1824(quarts made in two days (48 hours))/2=912 quarts per day

Remi has two cone-shaped containers with the same diameter. He will place the smaller container inside the larger one. Before he does this, he wants to fill the larger container with water so that it will be completely full but won’t spill when he places the smaller container inside. The diameter of both containers is 12 cm. The height of the smaller container is 6 cm, and the height of the larger container is 18 cm.What volume of water must Remi put in the large container?

Use 3.14 to approximate pi and express your final answer in hundredths
______ cm3

Answers

So,

All we have to do is subtract the smaller cone's volume from the larger cone's volume.

First, we will use the formula for the volume of a cone to find the volume of the larger cone.
$V_(1) = (1)/(3)\pi r^2h$

Substitute.
$V_(1) = (1)/(3)(3.14)(6)^2(18)$

Simplify exponents.
$V_(1) = (1)/(3)(3.14)(36)(18)$

Multiply. We will do the fraction last.
$V_(1) = (1)/(3)(113.04)(18)$
$V_(1) = (1)/(3)(2034.72)$
$V_(1) = 678.24\ cm^3$

Now, use the same formula and procedure to find the volume of the smaller cone.
$V_(2) = (1)/(3)\pi r^2h$

$V_(2) = (1)/(3)(3.14)(6)^2(6)$

Exponents first, and then multiplication, leaving the fraction last.
$V_(2) = (1)/(3)(3.14)(36)(6)$
$V_(2) = (1)/(3)(113.04)(6)$
$V_(2) = (1)/(3)(678.24)$
$V_(2) = 226.08\ cm^3$

Now, use this formula to find the answer:
$V_(2) - V_(1) = Ans$

And substitute the now known values.
$678.24 - 226.08 = Ans$
$452.16\ cm^3 = Ans$

Remi must put 452.16 cubic centimeters of water into the larger container.

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