Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number of each denomination. What are the four denominations, and how many of each does she have?​

Answers

Answer 1
Solution #1:
If Janice has pennies, nickels, dimes, and quarters. Using trial and error, I found the following results:
1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41
2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82
3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23
4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64
5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05
6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Solution #2:
If we let x = the number of coins, then we can set up the equation
0.01x + 0.05x + 0.10x + 0.25x = 2.46 combine like terms
0.41x = 2.46 divide both sides of the equation by 0.41
x = 6

This confirms that Janice has 6 coins of each denomination including pennies, nickels, dimes and quarters.
Answer 2

The number of the same coin that she has will be 6.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number for each denomination.

If there are any pennies, nickels, dimes, or quarters on Janice. Trial and error led me to the following conclusions:

1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41

2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82

3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23

4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64

5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05

6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Let x be the number of coins. Then we can set up the equation will be

0.01x + 0.05x + 0.10x + 0.25x = 2.46

0.41x = 2.46

x = 6

The number of the same coin that she has will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2


Related Questions

A pair of laces has a price tag of $7.00. The sales tax is 0.08 on every $1 . Which is the total price of the laces?​

Answers

$7.56 is the answer







Question 4
1 points)
The high school football game started at 7:15 P.M. and ended at 10:44 P.M. How
long did the game last?
A. O 3 hours 29 minutes
B. O 3 hours 9 minutes
C. O 2 hours 29 minutes
D. O 2 hours 9 minutes
Next >
< Back
Clear Answer

Answers

Answer is A because if you do 7 plus 3 gives you 10 and yea I really can’t explain things that good but hopefully this is the right answer

A shop advertised "Everything half price
in our sale”, but also now advertises that
there is "An additional 15% off sale
prices":
Overall, this is equivalent to what
reduction on the original prices?

Answers

Your answer would be 57.5%.

evaluate (11.6)^2 by using (a^2+b^2+2ab)​

Answers

Answer:

[tex]134.56[/tex]

Step-by-step explanation:

Break 11.6 into addenda.

[tex](11 + 0.6)[/tex]

Apply the binomial expansion method.

[tex](11 + 0.6)(11 + 0.6)[/tex]

[tex]11 {}^{2} = 121[/tex]

[tex]2(11)(0.6) = 13.2[/tex]

[tex]0.6 {}^{2} = 0.36[/tex]

Add them all up and you get.

[tex]134.56[/tex]

Answer is on the bottom

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
• 7 cm and 2 cm

8 cm and 9 cm

Answers

Answer:

8cm and 9cm

Step-by-step explanation:

8cm and 9cm would be the two possible lengths for the triangle because for the triangle to work you need the other two other sides when added together needs to be greater then 13. Furthermore 5 + 8 = 13 and as 13 is the same length as the one side that is given, a triangle couldn't possibly be formed as it would just be a straight line. Moreover, this is the same with 6 + 7 which is also 13. 7 + 2 is 9 and because 9<13 a triangle couldn't possibly be formed. Finally, 8 + 9 which equals to 17 are the only two possible lengths for the triangle as 17 > 12.

help plss will give brainly promise

Answers

the answer is 64
12/1.5 = 8
8 x 8 = 64

Answer:

101

Step-by-step explanation:

what two steps are necessary to put this equation into standard form? x^2-3x+27=8x-3

Answers

place all numbers in the first part of the equation by turning it into this form :
x^2 - 3x + 27 - 8x + 3 = 0
Then add all the alike member :
x^2 - 11x + 30 = 0

Answer:Add 3 to both sides and subtract 8x from both sides.Step-by-step explanation:The standard form of a quadratic equation isHere a should not be zero.Now, we have to write the given equation in this formwe have to take 8x and -3 to the left side of the equation in order to write the equation in standard form.Therefore, we have to subtract 8x and add 3 to both sides of the equation.When we do this operation, we'll get the equation in standard form which is given byHence, option is correct.Add 3 to both sides and subtract 8x from both sides.

Kepa has the flu, and he is concerned that he will not pass the mathematics exam. If the following three statements are true, will Kepa pass the exam?
i) Kepa will not fail the mathematics exam if he finishes his computer program.
ii) If he goes to the theatre, he does not have the flu.
iii) If he does not go to the theatre, he will finish his computer program

Answers

Answer:

Yes

Step-by-step explanation:

II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.

Answer:

yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.

what is the following product?
square root of 30 times the square root of 10

Answers

Step-by-step explanation:

That 'd be the square root of 300, which is equivalent to 10sqrt(3).

Can someone please help me

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Answer:

COULD YOU PLEASE HELP ME ON MY RECENT QUESTION ASAP

Step-by-step explanation:

Differential Equations and Slope Fields

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Answer:

9x2−x4+y(x2+9)2x(x2+9)2

Step-by-step explanation:

Plz show work. Need help fast please please.

Answers

Step-by-step explanation:

10:

[tex] \sqrt{50} = \sqrt{2 \times 25} = \sqrt{2} \times \sqrt{25} = \: 2 \times \sqrt{5} [/tex]

11:

[tex] \sqrt{88} = \sqrt{4 \times 22} = \sqrt{4} \times \sqrt{22} = \: \: \: \: \: 2 \times \sqrt{22} [/tex]

12:

[tex] \sqrt[3]{54} = \sqrt[3]{ {3}^{3} \times 2} = \sqrt[3]{ {3}^{3} } \times \sqrt[3]{2} = \: \: \: \: \: 3 \times \sqrt[3]{2} [/tex]

what is the effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7?
A. The graph of f(x) is shifted 7 units up
B. The graph of f(x) is shifted 7 units to the left
C. The graph of f(x) is shifted 7 units down
D. The graph of f(x) is shifted 7 units to the right

Answers

Answer:

Answer:

C. the graph of f(x) is shifted 7 units down

can someone find the length of the spine plss

Answers

Answer:

48.2 cm

Step-by-step explanation:

The bottom side of the large triangle has length 78 cm.

The bottom side of the right triangle has length 78 cm/2 = 39 cm.

Now we use the Pythagorean theorem to find the vertical side, the spine.

39² + s² = 62²

s² = 3844 - 1521

s² = 2323

s = 48.2

Answer: 48.2 cm

5+2+4+6+7-9+8-0+9-3=

Answers

Step-by-step explanation:

5+2+4+6+7-9+8-0+9-3

7+10+15-9-0+9-3

32-9+9-3

41-12+9

50-12 = 38 ans

Determine the amplitude or period as requested. Amplitude of y = 1/2 * cos 5x

Answers

Answer:

The amplitude is [tex]\frac{1}{2} = 0.5[/tex]

Step-by-step explanation:

Trigonometric function:

A trigonometric function has the following format:

[tex]A\sin{bx}[/tex] or [tex]A\cos[bx}[/tex]

In which the amplitude is A and the period is [tex]\frac{2\pi}{b}[/tex]

Amplitude of y = 1/2 * cos 5x

The multiplier is 1/2, so this is the amplitude.

#9 What is the RADIUS of this circle?
5 cm
Someone plz help my friends ain’t responding

Answers

Answer and Step-by-step explanation:

The radius of this circle is 5 cm.

This is because the radius of any circle is the distance from the middle of the circle to the edge of the circle. The diagram shows us 5cm as that distance.

#teamtrees #PAW (Plant And Water)

use the graph of the function f shown to determine the y intercept

Answers

Answer:

That's hard wish you the best tho.

Step-by-step explanation:

What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?

(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft

Answers

Answer:

40 ft

Step-by-step explanation:

lxbxh is 40 hope it helps have a great day Mark me as brainiest please

To find the volume of a rectangle, you multiply the length, width and height together, so 4 x 5 x 2 which gives you 40! The answer is C, 40! Hope this helps :)

A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable.
If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked?
A) The true relationship between heart rate and maximal oxygen uptake is linear.
B) The correlation between heart rate and maximal oxygen uptake is not equal to zero.
C) The confidence interval is not biased.
D) The point (x_,y_) falls on the regression line. The X and Y have a line on top.
E) The slope is not equal to zero.

Answers

Answer:

C) The confidence interval is not biased.

Step-by-step explanation:

When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of  heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.

The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

What are explanatory and response variables?

Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.

The response variables are also called dependent variables and their values depend on the values of the explanatory variables.

For this case, it is considered that:

Explanatory variable: Heart rateResponse variable: Maximal oxygen uptake

It is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.

Thus, the most important condition that must be checked is:

Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).

Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Learn more about correlation here:

https://brainly.com/question/10725272

Help me with this question please

Answers

The answer is C, 6 x 4 = 24!

please I need to answer three brainliest questions​

Answers

what question? where is the question???????????????????????????????????????????????????

si el impuesto sobre ventas de un DVD de $16.00 es 1.40$ ¿a cuanto ascendería el impuesto sobre ventas de un reproductor Blue-ray de $120.00?

Answers

Step-by-step explanation:

okay Hoy quiere algún Mando único

Frank is going to plant x vegetable seeds in one garden and 3x+7 vegetable seeds in another. How many seeds is Frank going to​ plant?

Answers

Answer:

no. of plants frank plants in one garden = x vegetables

no. of plants frank plants in another garden = 3x + 7

total no. of plants frank plants = x + 3x + 7 = 4x + 7

hope this answer helps you.....

please mark as brainliest.. thank you!

Question

A shirt is on sale for 15 percent off the original price of x dollars. If a customer has a coupon for 5 dollars off the sale price, which of the following represents the price, in dollars, the customer will pay. excluding tax, for the shirt?

0.15x -5

O 0.85x -5

0.85(x - 5)

5-0.85x

Answers

Answer:

.85x-5

Step-by-step explanation:

If you say .15x suppose x is 1

.15*1= .15

Is 15% off 1 = .15 no its .85 thats why in these types of problems we do 100%-15%=85% and then .85*x

After deducting the discounts given to the customer, the current price the customer will pay is $(0.85x - 5).

Given parameters:

discount rate of the shirt, = 15%

original price of the shirt, = $x

additional discount on the sales price = $5

To find:

the current price the customer will pay

Note:  the original price of the shirt = 100% of x

The current price of the shirt = original price - given discounts

The current price of the shirt = 100%x - 15%x - 5The current price of the shirt = 85%x - 5

Convert the percentage to decimal by dividing it by 100

The current price of the shirt becomes 0.85x - 5

Thus, after the discount the customer will pay $(0.85x - 5)

Learn more here:https://brainly.com/question/22094937

What is the approximate value of Log Subscript 6 Baseline 25? 0.233 0.557 0.620 1.796

Answers

Answer:

1.796 d

Step-by-step explanation:

The approximate value of Log subscript 6 baseline 25 (Log₆ 25) is 1.796

Assumption

Let Log₆ 25 be x

How to determine the value of x

Log₆ 25 = x

25 = 6ˣ

Take the log of both side

Log 25 = Log 6ˣ

Log 25 = xLog 6

Divide both side by Log 6

x = Log 25 / Log 6

x = 1.796

Thus,

Log₆ 25 = x

Log₆ 25 = 1.796

Learn more about logarithm:

https://brainly.com/question/7302008

Find the length of the rectangular prism if the volume is 66 and width is 3 and height is 2

Answers

Answer:

l=11

Step-by-step explanation:

w Width

3

h Height

2

V Volume

66

Dominic invested $93,000 in an account paying an interest rate of 6.8% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $202,800?

Answers

Answer:

11

Step-by-step explanation:

A recent report has shown that Nike's sneaker supply of the Air Jordan 1 was at 300,000
pairs in 2016. Because Nike wanted the Jordan 1 to be more of a rare shoe, the supply
of pairs started decreasing at a rate of 5% per year. At this rate, how many pairs of
Jordan 1s will be in production in the year 2030?

Answers

Answer: 90000 Pairs at 2030

Step-by-step explanation:

2030 - 2016 = 14

14 x 5 = 70

30% of 300k = 90000

Which of these equations shows a proportional relationship between x and y

F. y=-1/3x
G. y=-x+1
H. y=3/2x+3/2
J. y=2x-4

Answers

Answer:

it is H any help I'm glad to help

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