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
Softa [21]
3 years ago
10

Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
5 0
<span>Let x = be the number of dimes and y = number of quarters. 

Since the total number of coins is 100, x + y = 100. 

Since the total is cent value is 19.75, comprised of .10 for dimes and .25 for quarters, we have .10x + .25y = 19.75. 

This is just a system of equations. Solve one of the dozen ways that work for solving systems of linear equations. 

Using substitution: 

x = 100 - y 

Plug this into the other equation 

.10 (100 - y) + .25 y = 19.75 

10 - .10 y + .25 y = 19.75 

10 + .15y = 19.75 

.15 y = 9.75 

y = 65 

So there are 65 quarters. Since x + y = 100, there must be 35 dimes.</span><span>Hope This Helps</span>
Ronch [10]3 years ago
3 0
D = no. of dimes
q = no. of quarters

$total equation
.10d + .25q = 19.75

No. of coins equation
d + q = 100
d = (100-q)

Replace d
with (100-q) in the $total equation
.10(100-q) + .25q = 19.75
10 - .10q + .25q = 19.75


10.15 q = 9.75
q = 
q = 65 quarters

100 - 65 =

35 dimes.



You might be interested in
Solve for the literal equation for z: 3z-s=r
Vikentia [17]

Answer:

i think it is. r = -s + 3z could be wrong sorry if it is

8 0
3 years ago
Write the equation in slope-intercept form using: m= -2/3 and (-6,1)
kari74 [83]
Formula is y = mx + b

Answer y = - 2/3x - 3
8 0
3 years ago
What is .375 in fraction
krek1111 [17]

Answer:

3/8

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The area of a rectangular wall of a barn is 300 square feet. its length is 10 feet longer than twice its width. find the length
Savatey [412]

<span><span>L * W = 300 sq ft
</span><span> Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>

<span>
<span> Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>

 length = 30 feet, width = 10 feet

<span> Check: 30*10 = 300</span>


5 0
3 years ago
If EH = w and GH = 4w - 51, what is GH?
Arturiano [62]

Answer:

Step-by-step explanation:

EH=w

then it is as simple as pluggin in

gh=4(eh)-51

3 0
2 years ago
Other questions:
  • Yoko is going for a walk. She takes 5 hours to walk 12.5 miles. What is her speed?
    9·1 answer
  • How do you convert feet to inches
    11·1 answer
  • 1/2(2x + 4)= 3x - c please answer quick
    11·2 answers
  • Kim has exactly enough money to buy 40 oranges at 3x cents each. If the price rose to 4x cents per orange, how many oranges coul
    13·1 answer
  • Geoff planted dahlias in his garden. Dahlias have bulbs that divide
    10·1 answer
  • Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
    6·1 answer
  • I RLLY NEED HELP PLEASEEEEE​
    14·2 answers
  • Factor each polynomial x^2-9x+10 <br> Show your work
    9·1 answer
  • What is the value of x<br><br>a) 69<br>b) 35<br>c) 14<br>d) 26​
    12·2 answers
  • An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!