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Crazy boy [7]
3 years ago
6

Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua

rters how many of each coin does he have
Mathematics
1 answer:
Anarel [89]3 years ago
4 0

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630    Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490

Dividing both sides by 35

\frac{35x}{35}=\frac{490}{35}\\x=14

Putting x=14 in Eqn 2

y=14+14\\y=28

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/4354581
  • brainly.com/question/4361464

#LearnwithBrainly

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vesna_86 [32]
It will take 8 seconds for all of the dominoes to fall over.

This will be an exponential function.  To find the growth rate, we can write out the terms of the sequence that goes along with it:  10, 20, 40, ...

"Growth rate" is the same as percent of increase or decrease.  We find the amount of increase and divide by the original amount:  20-10 = 10 increase; 10/10 = 1.

The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods.  Using the variables given to us in the problem along with this information, we have:

d(s)=10(1+1)^s
\\
\\2560=10(2)^s

Divide both sides by 10:
\frac{2560}{10}=\frac{10(2)^s}{10}
\\
\\256=2^s

We will use logarithms to solve this:
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5 0
3 years ago
Read 2 more answers
Solve the system of linear equations by substitution.<br><br> 4x−2y=14<br> y=12x−1
Alexus [3.1K]

Answer:

The answer is (-0.7, -9.4)

Step-by-step explanation:

1) Since we are using the substitution method, and we know that y = 2x-1, in the first equation, plug that into y.  It should look like this:

4x-2(12x-1) = 14

4x -24x + 2 = 14

2) Combine like terms and continue to simplify until you get a direct answer for each variable.

-20x + 2 = 14.

-20x = 12.

x = -7/10 (or -0.7)

3) Now we know what x equals, so to find our y-coordinate, we will plug this into either equation.

y = 12(-7/10) -1

y= -84/10 -1

y= -9.4

4) Now that we have our x value and y value, we know our point. The solution is (-0.7, -9.4).

3 0
2 years ago
Sally is shopping for diapers and sees a box with 216 diapers for \$39.98 and a box with 88 diapers for \$24.99 . Which option h
Mekhanik [1.2K]
The first step is to find out the value of one diaper for each equation

39.98/216 = 0.18
Therefore one diaper is for 0.18 cents

24.99/88 = 0.28
Therefore one diaper is for 0.28 cents

At the end the first deal is better
7 0
3 years ago
Read 2 more answers
Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After
neonofarm [45]

Answer:

Harry put 5 movies on each shelf.

Step-by-step explanation:

The information provided is:

  • On 4 different days, he bought 2 movies.
  • On 2 other days, he bought 3 movies each day.
  • After that he sold 2 sets of 2 movies.
  • He divided the remaining into 2 groups to put onto his shelves.

So, first Harry bought 2 movies on four different days.

That is, a total of 8 movies.

Then, he bought 3 movies on two other days.

That is, a total of 6 movies.

So, in total Harry bought 14 movies.

Now, he sold 2 sets of 2 movies.

That is, he sold 4 movies.

He has 14 - 4 = 10 remaining movies with him.

It is provided that he divided remaining movies into 2 groups to put onto his shelves.

So, he put 10/2 = 5 movies on each shelf.

8 0
3 years ago
How can I solve that problem
drek231 [11]

<u>What do we know so far</u>:

  • 2\frac{2}{3}laps in \frac{4}{15}hour  ⇒ \frac{8}{3}laps in \frac{4}{15}hour

  *we converted the number of laps into improper fractions

        2\frac{2}{3}  = \frac{8}{3}

<u>We want to know the number of laps in an hour</u>

  ⇒ so we must find the rate which ⇒ lap/hour

   lap/hour =\frac{8/3laps}{4/15hours} =\frac{8}{3}*\frac{15}{4}   =\frac{8}{4} *\frac{15}{3} =2*5=10laps/hour

<u>So William can run</u> ⇒ <u>10 laps in one hour</u>

Hope that helps!

8 0
2 years ago
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