All categories

3 years ago

Debbi has 17 coins that are all either quarters or dimes. the total value of her money is 3.20

Mathematics

1 answer:

AlladinOne [14]3 years ago

5 0

Answer:

There are 10 quarters and 7 dimes

Step-by-step explanation:

The question asks for the number of quarters and the number of dimes.

Quarters and Dimes equal 17, so let number of quarters be "q" and number of dimes be "d", so we can write:

q + d = 17

We know quarters are worth 0.25 and dimes are worth 0.10 (in dollars) and total value of the coins are 3.20 dollars, thus we can write:

0.25q + 0.10d = 3.20

Let's write the first equation as:

q = 17 - d

Now we substitute this into 2nd equation and solve for d:

0.25q + 0.10d = 3.20

0.25(17 - d) + 0.10d = 3.20

4.25-0.25d+0.10d = 3.20

-0.15d = -1.05

d = 7

Now using this value of d, we now find q:

q = 17 - d

q = 17 - 7

q = 10

There are 10 quarters and 7 dimes

You might be interested in

Macy measured the mass of a 69.3 g mouse at 70.0 g. Eli measured the mass of a 3867 kg elephant at 3900 kilograms. Macy's error

coldgirl [10]

3900 - 3867 = 33kg about the size of a little boy

6 0

3 years ago

The sum of three consecutive even numbers is one hundred sixty-two. What is the smallest of the three numbers?

zepelin [54]

Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:

x + y + z = 168

(y-2) + y + (y+2) = 168.

3y = 168

y = 56

therefore the smallest number (x) = 54.
436 viewsView upvotes

1

Related Questions (More Answers Below)

3 0

3 years ago

Read 2 more answers

What is the value of discontinuity of x^2+8x+4/x^2-x-6? Choices:

Morgarella [4.7K]

Answer:

-2

Step-by-step explanation:

Hello,

First of all, let's check the denominator.

$x^2-x-6 \ \ \text{ *** How to factorise it ...? ***}\\\\\text{*** The product of the roots is -6=-2*3 and their sum is 1 ***}\\\\x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)$

Now, let's see the numerator.

$x^2+8x+4 \ \text{ *** -2 is not a zero as ***}\\\\(-2)^2+8*(-2)+4=4-16+8=-4\\\\\text{*** 3 is not a zero as ***}\\\\3^2+8*3+4=9+24+4=37\\$

So we cannot factorise the numerator with (x+2) or (x-3)

Then, -2 and 3 are the the discontinuities of the expression.

There is only -2 in the list, this is the correct answer.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

3 years ago

What is 5.8×10^6 mg/s in grams per minute? A. 9.7×10^9 g/min B. 9.7 × 10^7 g/min C. 3.48 × 10^5 g/min D. 3.48 × 10^3 g/min.

Luda [366]

1 second = 5.8x10^6 mg
60 seconds = 5.8x10^6 x 60 = 3.48x10^8 mg
(i.e 3.48x10^8 mg/minute)

1000 mg = 1 g
3.48x10^8 mg = 3.48x10^8/1000 = 3.48x10^5 g

Therefore, 5.8x10^6 mg/s = 3.48x10^5 g/min

6 0

3 years ago

Read 2 more answers

Find the midpoint of BF B(0,-14) F(4,6)

saveliy_v [14]

Answer:

Step-by-step explanation:

B(0, -14) ⇒ x₁ = 0 & y₁ = -14

F(4,6) ⇒ x₂ = 4 & y₂ = 6

$Midpoint = \left(\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{1}+y_{2}}{2} \right)$