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
Find the area of the composite shape
jekas [21]

12 ft * 10 ft = 120 sq ft

½ * 6 ft * 7 ft = 21 sq ft

120 sq ft - 21 sq ft = 99 sq ft (it is area of the composite shape)

4 0
3 years ago
A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o
kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0
3 years ago
The volume of a rectangular prism, in cubic meters, is given by the expression x to the 3rd power
nydimaria [60]

Answer:

power of 3

Step-by-step explanation:

that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000

5 0
2 years ago
Ok ik that I do math for ppl a lot but if someone could plz just help me with theses math problems (if u say that u will help I’
hodyreva [135]
I will help you with your problem
7 0
3 years ago
Complete factorization of x^3 - 4x^2 + x - 4
Pachacha [2.7K]

Step-by-step explanation:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Since the quadratic factor (x² + 1) is irreducible any further, this is our answer.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Sales tax is 6.5% and you spend 58.50. How much money will you spend on tax
    12·2 answers
  • PLEASE HELP!
    13·2 answers
  • Solve for x: -0.25(-x-12)=2​
    9·1 answer
  • PLEASE HELP ME ASAP ?!?
    11·1 answer
  • Help me please. Very much appreciated​
    5·2 answers
  • Wat iz 1+1 pleas ined hewp
    5·2 answers
  • Find the constant(s): 12x - 8 - 12​
    12·1 answer
  • Please help this is a timed test!
    12·1 answer
  • How do solve this?<br><br> 9g &lt; -1/2
    10·2 answers
  • 9+2×42+6-2<br><br>Please show the work​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!