1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svlad2 [7]
2 years ago
15

Andy is collecting pocket change for a fundraiser. he begins with 102 coins in the cup, and their monetary value is $17.10. if h

e has a mix of dimes and quarters, how many of the coins are dimes?
Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
5 0

If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.

Given number of coins Andy has is 102 and montary value of all coins is $17.10.

We have to determine number of dimes and quarters.

1 dime=$0.10

1 quarter=$0.25

Suppose the number of dimes be x and number of quarters be y.

The equations are:

0.10x+0.25y=17.10------------1

x+y=102-------------2

from equation 2, y=102-x

Put the value of y=102-x in equation 1

0.10x+0.25(102-x)=17.10

0.10x+25.5-0.25x=17.10

-0.15x=17.10-25.5

-0.15x=-8.4

x=8.4/0.15

x=56

Put the value of x in y=102-x

y=102-56

y=46

Hence Andy has 56 number of dimes and 46 quarters.

Learn more about equation at brainly.com/question/2972832

#SPJ4

You might be interested in
Please answer There is a bag filled with 3 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted
Misha Larkins [42]

Answer:

\frac{15}{28}  is the required probability.

Step-by-step explanation:

Total number of Marbles = Blue + Red = 3 + 5 = 8

Probability of getting blue = \frac{3}{8}

Probability of not getting a blue =\frac{5}{8}

To get exactly one blue in two draws, we either get a blue, not blue, or a not blue, blue.

<u>First Draw Blue, Second Draw Not Blue:</u>

1st Draw: P(Blue) = \frac{3}{8}

2nd Draw: P(Not\:Blue)=\frac{5}{7}  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

P(Event)=\frac{3}{8}\cdot \frac{5}{7}=\frac{15}{56}

<u>First Draw Not Blue, Second Draw Not Blue:</u>

1st Draw: P(Not\:Blue)=\frac{5}{8}

2nd Draw: P(Not\:Blue)=\frac{3}{7}  (since we did not replace the first marble)

To get the probability of the event, since each draw is independent, we multiply both probabilities.

P(Event)=\frac{5}{8}\cdot \frac{3}{7}=\frac{15}{56}

To get the probability of exactly one blue, we add both of the events:

\frac{15}{56}+\frac{15}{56}=\frac{15}{28}

4 0
3 years ago
Solve -3x + 12 = x – 4<br><br> Show your work
jeka94

Answer:

Step-by-step explanation:

-3x +12 =x-4

+3x

12 = 4x -4

+4

16 = 4x

Divide by 4

4 = x

3 0
4 years ago
Read 2 more answers
4 more than the quotient 12 and a number x
snow_tiger [21]

More than means to add.

Quotient means to divide.

4 + (12/x)

6 0
3 years ago
93,871 round to the nearest hundreds
VMariaS [17]

Answer:

93,900

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find a 20 given that a 3 = 9 and a 8 = 24
Nimfa-mama [501]

Answer:

<u>a₂₀ = 60</u>

Step-by-step explanation:

<u>Given :-</u>

a₃ = 9

a₈ = 24

<u>To find :-</u>

a₂₀

<u>Solving :-</u>

Expand the given values.

a + 2d = 9 -(1)

a + 7d = 24 -(2)

Now subtract (1) from (2).

=> 5d = 15

=> d = 3

a = 9 - 2d

a = 9 - 6

a = 3

<u>Final answer :-</u>

a₂₀

= a + 19d

= 3 + 19(3)

= 3+ 57

= 60

<u>a₂₀ = 60</u>

8 0
2 years ago
Other questions:
  • A cyclist travels 7 hours at a speed of 11 miles per hour.how far does the cyclist travel?
    5·2 answers
  • Henry collected data on the favorite type of food of the students of two grades. The table below shows the relative frequencies
    13·2 answers
  • Congruent triangles &amp; proofs need answers to all the ones i got wrong. thank u!
    14·1 answer
  • Latoya has bought 30 pounds of dog food. She feeds her dog pounds for each meal. For how many meals will the food last?
    8·1 answer
  • Which of the following functions best describes this graph ?
    10·1 answer
  • Complete the inequality statement with the symbol that makes it true.
    15·1 answer
  • The graph of y = –3x + 4 is:
    12·1 answer
  • Five pounds of cherries cost $14.95. Write and solve an equation to determine how much each pound of cherries costs.
    12·2 answers
  • PLEASE HELP ME ASAP. I REALLY NEED THIS DONE
    6·1 answer
  • Can so.eone explain to me by what bisecting intervals are?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!