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
Sauron [17]
3 years ago
14

A jar containing only dimes and quarters contains a total of 54 coins. The value of all the coins in the jar is $9.15. Solve by

elimination to find the amount of dimes and quarters that are in the jar.
Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer: the jar contains 29 dimes and 25 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarters is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of dimes contained in the jar.

Let y represent the number of quarters contained in the jar.

A jar containing only dimes and quarters contains a total of 54 coins.. This means that

x + y = 54

The value of all the coins in the jar is $9.15. This means that

0.1x + 0.25y = 9.15 - - - - - - - - - - - 1

Substituting x = 54 - y into equation 1, it becomes

0.1(54 - y) + 0.25y = 9.15

5.4 - 0.1y + 0.25y = 9.15

- 0.1y + 0.25y = 9.15 - 5.4

0.15y = 3.75

y = 3.75/0.15 = 25

x = 54 - y = 54 - 25

x = 29

You might be interested in
The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the altitude of △AED drawn to
Gnom [1K]

let's call G the intersection point of EF & BC.

according to the thales' theorem:

\frac{eg}{ef}  =  \frac{bc}{ad}

and EF= EG+GF=EG+3

\frac{eg}{eg + 3}  =  \frac{7}{21}

21eg = 7eg + 21

14eg = 21

eg =  \frac{21}{14}  =  \frac{3}{2}  = 1.5

length of the altitude of △AED=EF

EF=EG+GF=1.5+3=4.5

8 0
3 years ago
A. A batch of 30 parts contains five defects. If two parts are drawn randomly one at a time without replacement, what is the pro
Zarrin [17]

Answer:

a) For this case on the first trial we have the following probability of selecting a defective part: 5/30. Because we have 5 in total defective at the begin and a total of 30 parts

For the second trial since the experiment is without replacement we have 29 parts left, and since we select 1 defective from the first trial we have in total 4 defective left, so then the probability of defective for the second trial is : 4/29

And then we can assume independence between the events and we have this probability:

(5/30)*(4/29) =0.16667*0.1379= 0.0230

b) For this case on the first trial we have the following probability of selecting a defective part: 5/30. Because we have 5 in total defective at the begin and a total of 30 parts

And since we replace the part selected is the same probability for the second trial and then the final probability assuming independence would be:

(5/30)*(5/30) =0.1667* 0.1667= 0.0278

Step-by-step explanation:

For this case we know that we have a batch of 30 parts with 5 defective.

Part a

If two parts are drawn randomly one at a time without replacement, what is the probability that both parts are defective?

For this case on the first trial we have the following probability of selecting a defective part: 5/30. Because we have 5 in total defective at the begin and a total of 30 parts

For the second trial since the experiment is without replacement we have 29 parts left, and since we select 1 defective from the first trial we have in total 4 defective left, so then the probability of defective for the second trial is : 4/29

And then we can assume independence between the events and we have this probability:

(5/30)*(4/29) =0.16667*0.1379= 0.0230

Part b

If this experiment is repeated, with replacement, what is the probability that both parts are defective?

For this case on the first trial we have the following probability of selecting a defective part: 5/30. Because we have 5 in total defective at the begin and a total of 30 parts

And since we replace the part selected is the same probability for the second trial and then the final probability assuming independence would be:

(5/30)*(5/30) =0.1667* 0.1667= 0.0278

3 0
3 years ago
Using the numbers 8, 6, 4 write an expression that equals 7
8090 [49]

\dfrac{8-4}{4}+6=\dfrac{4}{4}+6=1+6=7


8-\dfrac{8-6}{6-4}=8-\dfrac{2}{2}=8-1=7


\dfrac{8+6}{6-4}=\dfrac{14}{2}=7

4 0
3 years ago
HEEEEEELLLLLLLPPPPP !!!!!!!!!​
ludmilkaskok [199]

Calculate the length of each path using the law of cosines:

AB = √(8^2 + 8^2 - 2*8*8*cos(36)

AB = 4.94 ft.

XY = √(8^2 + 8^2 - 2*8*8*cos(79)

XY = 10.18 ft.

ZY = √(8^2 + 8^2 - 2*8*8*cos(65)

ZY = 8.60 ft.

XY is longer than ZY and ZY is longer than AB

The first choice is correct.

5 0
3 years ago
Read 2 more answers
Dyami lives x miles from the school. Karla lives 2/3 further than that from the school.
Hatshy [7]

Answer:

Where is the schools coordinates subtract two thirds from whatever the schools coordinates are and you will have your answer for Dyami

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • System of equations.<br><br> 8th grade math<br><br> { y = 1/3 x + 2, x = 9
    10·1 answer
  • In this section, you will solve quadratic inequalities and systems of quadratic equations. True False
    11·1 answer
  • How are the areas of two similar figures related
    13·1 answer
  • What is the difference the simplest terms 2/3 - 3/5
    7·1 answer
  • Factor<br><br> x2 + 10x + 25
    9·2 answers
  • If a candy bar costs $0.75, how much would 4 candy bars cost?
    10·2 answers
  • Which number is a perfect cube?<br> 09<br> 18<br> 27<br> O 36
    10·1 answer
  • The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centi
    14·1 answer
  • Find the mode of the data set 6, 8, 9, 4, 9, 6, 6, 9, 4, 8, 6 plz help asap
    14·1 answer
  • PLEASE HELP ImAGE BELOW
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!