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
Anastaziya [24]
3 years ago
13

A jar is filled with only dimes and quarters. The jar contains a total of 60 coins and the value of the jar is $11.25. How many

quarters are in the jar?
Mathematics
1 answer:
inessss [21]3 years ago
3 0

Answer:

35 quarters

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • d+q=60 is an equation representing the total number of coins
  • 0.10d+0.25q=11.25 is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get d=60-q. We now substitute this for d in the second equation.

0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25

After simplifying, we subtract 6 across and divide by the coefficient of q.

6+0.15q=11.25\\0.15q=5.25\\q=35

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

You might be interested in
What's the value of given expression <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B22%20%5Ctimes%2022%7D%20" id="TexFormula
scZoUnD [109]

Answer:

22

Step-by-step explanation:

square root of a number multiple by the himself give you the value

so square root of 22 x 22 = 22

5 0
3 years ago
Read 2 more answers
This is due today, and I have no idea what I'm doing, please help if you know anything.
defon

Binomial distribution formula: P(x) = (n  k) p^k * (1 - p)^n - k

a) Probability that four parts are defective = 0.01374

P(4 defective) = (25 4) (0.04)^4 * (0.96)^21

P(4 defective) = 0.01374

b) Probability that at least one part is defective = 0.6396

Find the probability that 0 parts are defective and subtract that probability from 1.

P(0 defective) = (25 0) (0.04)^0 * (0.96)^25

P(0 defective) = 0.3604

1 - 0.3604 = 0.6396

c) Probability that 25 parts are defective = approximately 0

P(25 defective) = (25 25) (0.04)^25 * (0.96)^0

P(25 defective) = approximately 0

d) Probability that at most 1 part is defective = 0.7358

Find the probability that 0 and 1 parts are defective and add them together.

P(0 defective) = 0.3604 (from above)

P(1 defective) = (25 1) (0.04)^1 * (0.96)^24

P(1 defective) = 0.3754

P(at most 1 defective) = 0.3604 + 0.3754 = 0.7358

e) Mean = 1 | Standard Deviation = 0.9798

mean = n * p

mean = 25 * 0.04 = 1

stdev = \sqrt{np(1-p)}

stdev = \sqrt{(25)(0.04)(1-0.04)} = 0.9798

Hope this helps!! :)

7 0
3 years ago
Which of these is not a possible r-value?
Scorpion4ik [409]

Answer:b 1.2

Step-by-step explanation:

5 0
2 years ago
Which term best describes the relationship between the two events described below?
8_murik_8 [283]
maybe C? sorry i’m not the best at this
6 0
2 years ago
Read 2 more answers
HELLLLLLLLLPPPPPPP The difference of two numbers is 8 and their quotient is 2
Dmitriy789 [7]

Answer:

x-y =8

x/y=3

=> 3y-y=8

=> 2y = 8

=> y = 4

=> x = 4+8 =12

3 0
3 years ago
Other questions:
  • What is the value of x?<br><br> 5<br><br> 2.5<br><br> 7.5<br><br> 10
    6·2 answers
  • Next weekend Marnie wants to attend either carnival A or carnival B. Carnival A charges $6 for admission and an additional $1.50
    13·1 answer
  • Your friend is 1.2 times taller than you. Your friend is 64.5 inches tall. How tall are you?
    7·2 answers
  • Joe paid $14.00 for a board game. This is 70% of the original price ? $4.20 $20.00 $9.80 $21.00
    11·1 answer
  • Find the Vertex of 2x^2+8x+1<br> A. (-2,-7)<br> B.(1,7)<br> C.(-2,-1)<br> D.(3,-4)
    15·1 answer
  • What is the value of y when x = 3?
    15·2 answers
  • A math teacher instructed students to graph the following equations on a coordinate plane. y=2.5x+2 and y=2x+4. If graphed corre
    14·1 answer
  • Help me answer this PLEASE !!
    10·1 answer
  • A rectangular prism is shown below. What is the lateral surface area?
    11·2 answers
  • Which expression is equivalent to (x^2-2x)(3x^2+4x-7)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!