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3 years ago

david gave mark dimes and quarters for 18 nickels. if david gave mark 6 coins, how many of each coon did mark receive?

Mathematics

1 answer:

ipn [44]3 years ago

8 0

Answer:Herbert

Let n=the number of nickels and q=the number of quarters.

From the problem statement, we know two things:

The total number of coins is 57; This means that n+q=57

The total value of the coins is $8.85; Since each nickel is worth .05 and each quarter is worth .25, this means that .05n+.25q=8.85

We now have two equations with two unknowns.

We can solve for n in the first equation, n=57-q

Plugging this in for n in the second equation, we get .05(57-q)+.25q=8.85

Multiplying through and simplifying: .05*57-.05q+.25q=8.85

2.85 + .20q =8.85

.20q =8.85-2.85

.20q =6

q = 6/.20

q = 30 (This is the number of quarters)

Since n+q=57; n=57-q

n=57-30

n=27 (this is the number of nickels)

We can now double check the results by taking the number of quarters (30) times the value of each quarter (.25) and adding this to the the number of nickels (27) times the value of each nickel (.05):

30*.25+27*.05 = 7.50+1.35 = 8.85, which is the value stated in the problem.

Let me know if you have any questions.

Step-by-step explanation:

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A population consisting of an unlimited number of unit is termed as

Colt1911 [192]

Answer:

Infinite population

Step-by-step explanation:

Population refers to an entire set of people or objects present for the purpose of gathering data and when the population is unlimited in size i.e. it cannot be ascertained easily, it is known as infinite population.

hope it helps you a follow would be appreciated

7 0

3 years ago

Read 2 more answers

Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r

tia_tia [17]

Answer:

(a) Growth

$(b)\ y = 146(1.24)^x$

Step-by-step explanation:

Given

$a= 146$ -- current

$r = 24\%$ --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

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<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

$y = a(1 + r)^x$

Substitute: $a= 146$ and $r = 24\%$

$y = 146 * (1 + 24\%)^x$

$y = 146 * (1 + 0.24)^x$

$y = 146 * (1.24)^x$

$y = 146(1.24)^x$

5 0

3 years ago

Two cars start moving from the same point. One travels south at 52 mi/h and the other travels west at 39 mi/h. At what rate is t

yawa3891 [41]

Answer:

The distance between them is 91 mi/h

Step-by-step explanation:

6 0

2 years ago

What is 30% of $100?

lord [1]

Answer:

solution. :

30/100*$100

$30

6 0

3 years ago

Question 101 points)

maw [93]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x+\dfrac{13}{3}}$

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\===============================$

$\text{We have the point:}\\\\(5,\ 1)\ \text{and}\ (-4,\ 7).\ \text{Substitute:}\\\\m=\dfrac{7-1}{-4-5}=\dfrac{6}{-9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}\\\\\text{We have the equation in form:}\\\\y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (5, 1) to the equation:}\\\\1=-\dfrac{2}{3}(5)+b\\\\1=-\dfrac{10}{3}+b\qquad\text{add}\ \dfrac{10}{3}\ \text{to the both sides}\\\\\dfrac{3}{3}+\dfrac{10}{3}=b\to b=\dfrac{13}{3}\\\\\text{Finally:}\\\\y=-\dfrac{2}{3}x+\dfrac{13}{3}$

4 0

3 years ago