Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.

Answers

Answer 1

Answer: There are 57 quarters and 33 dimes.

Step-by-step explanation:

let x = Number of quarters

y= Number of dimes

As per given , we have

x+y = 90  (i)

0.25x+0.10y= 17.55  (ii)

Multiply 10 on both sides of (ii)

2.5x+y= 175.5    (iii)

Eliminate (i) from (iii) , we get

1.5x = 85.5

⇒ x= 57

Put value of x in (i) , we get

57+y=90

⇒  y= 90-57

⇒  y= 33

Hence, there are 57 quarters and 33 dimes.


Related Questions

1000 divided by 4 equal to what

Answers

Answer:

250?

Step-by-step explanation:

1000÷4=250

I think this is the right answer.

Answer:

250

Step-by-step explanation:

100/4 =25

you just add another 0

What is the first step in isolating the variable in this equation?
(2) p + 75 = 100
D
Subtract 75 from both sides.
B
Subtract 1/2 from both sides.
с
Divide both sides by 75.
D
Divide both sides by 1/2

Answers

it’s either subtract 75 from both sides or divide both sides by 1/2 but I’m pretty sure it’s subtract 75 from both sides

Answer:

Subtract 75 from both sides.

HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer

Answers

Answer:

9

Step-by-step explanation:

Can someone Help me I'm Stuck on these three Questions
Z+(-7)=-8
13=Z+18
12=T+3
Explain your answer
Thanks For the Help:)

Answers

Answer:

1.) z = -1

2.) z = -5

3.) t = 9

Step-by-step explanation:

z + (-7) = -8

=> add 7 to both sides

z = -1

13 = z + 18

=> subtract 18 from both sides

-5 = z

12 = t + 3

=> subtract 3 from both sides

9 = t

SOMEONE pLZ HELP ME SOLVE THIS IM GETTING so MADDD

Answers

Answer:

Vertex Form: y= 2(x−1)^2−7

Step-by-step explanation:

I believe this is correct

If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

-160

Step-by-step explanation:

All you have to do is substitute -2 for all values of x!

Is that last x raised to the power of 4 (looks like [tex]x^4[/tex])?

If so, the equation is:

[tex]f(-2)=2(-2-3)(-2)^4[/tex]

2(-5)(16)

-10(16)

-160

Calliope Is going to buy a television for $1349. If sales tax is 8%, find the price of the television including tax.

Answers

Answer:

The price including tax is $1,456.92

Step-by-step explanation:

First we need to convert our percentage into a decimal.

0.08

Now we need to multiply our price by the sales tax.

$1,349.00 × 0.08 = $107.92

Our sales tax is $107.92.

Added to our price it's $1,456.92.

One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake

Answers

Answer:

1/8

Step-by-step explanation:

One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.

Answer:

Each person will get 1/8 of the whole cake but 1/4 of half of the cake.

Step-by-step explanation:

Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.

Really need help on this math question! “Jill is draining her pool before winter arrives.
Initially the pool has 2000 gallons of water.
The pool is draining at a rate of 8 gallons per minute.
Write a function to model this situation.”

Answers

Answer:

f(x)=2000-8x

Step-by-step explanation:

2000 is initial amount that gets subtracted

8x is the amount of gallons being siphoned out, where x is t, or minutes.

3(4x+8) + 3(2x - 6)
Match the equivalent expressions

Answers

Answer:=18x+6

Step-by-step explanation:

3(4x+8)+3(2x-6)

12x+24+6x-18

12x+6x+24-18

18x+6

level 2 record the letters in your triangle from left to right

Answers

I'm sorry, but this question is not provided with enough information in order for it to be answered

Answer:

EGBFDHAIC

Step-by-step explanation:

Lol i did this before hope this helps!!

Solve each equation mentally for x.

5/2 • x = 1

Your answer must be in the form of a fraction.

Answers

x = 2/5

5/2x2/5=1
good luck

You need to get x by itself to solve

So to get rid of 5/2, you need to multiply both sides by the reciprocal or 2/5...

5/2*2/5 = 1 which we don't write and 1*2/5 =  2/5

So now you'd have x =2/5

a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?

Answers

Answer:

The car's value is depreciating by $2,990 per year.

Step-by-step explanation:

To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.

28,500 - 25,510 = $2,990

Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.

Hope this helps! :D

Please helpp!!

A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? What percent discount does this represent from the original price? Round to the nearest whole percent.

Answers

Answer:

2

Step-by-step explanation:

i have the coronavirus

Answers

That’s swag

I have Squidarooni disease

Answer:

Ok-

Step-by-step explanation:

What the answer is for this question

Answers

Answer:

im pretty sure its 24

Step-by-step explanation:

because 12+12=24

AHH HELP-

solve for y.
-2x + y = 5

what does y equal and how did you solve it?

Answers

Answer:

x = - 5 +  Y        _     _        2     2

Step-by-step explanation:

I just moved all terms that don't contain x to the

right side and solved!

Hope this Helps!

I NEED HELP ASAP PLEASE HURRY

Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?

Prices, including taxes: Book: $10.58 and DVD: $19.50

The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.

Answers

Answer:

The estimated total to the nearest dollar is $31, so he cannot afford both items.

Step-by-step explanation:

10.58 rounded is 11

19.50 rounded is 20

11+20=31

Answer:

I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo

that would equal 31.00, and he only has 30.00 to spend.

So I would say D.

Step-by-step explanation:

determine the slope of the table

Answers

Answer:

The slope is -1/2 or -0.5

Hope this helps!

Answer:

The slope is 5

Step-by-step explanation:

if you add 2 to -3 then you get your answer


HELP ASAP! WILL MARK BRAINLIEST

Answers

Answer:

it will be the first the 5th the 2nd and the 3rd

Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.

Answers

Answer:

Six movie channels, because 5(6) + 50 = 6.5(6) + 41

Step-by-step explanation:

Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50

Answers

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

I need an answer to What is: p - 10 = 5

Answers

Answer:

P would be substituted with 15, so the equation would be accurate

Step-by-step explanation:

Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?

A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3

Answers

Answer:a

Step-by-step explanation:

3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation. *
A. O d-10m
B. O d= m + 10
C. O d=10m +10
D. O dem

Answers

Answer:

A

step-by-step explanation:

"d" I take it means donations or amount donated so if it's 10 per mile ran or 10m then you would write the equation as d=10m so it's A. Hope You found this helpful :D

A function that represents the situation is d = 10m.

The correct option is A.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

At a fundraising event,

$10 is donated for every mile ran.

Let m be the number of miles.

And d is the total donation.

So, the function,

d = 10m

Therefore, d = 10m is the function.

To learn more about the function;

brainly.com/question/28303908

#SPJ5

1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.

Answers

Answer:

7.25S + 10.50L ≤ 90

The system of inequalities that represents a given situation are  S+L>5 and 7.25S+10.50L≤90.

Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.

What are inequalities?

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.

Juan must buy more than 5 pizzas to feed the team.

That is, S+L>5

Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L

Juan collects $90 for pizza. So, 7.25S+10.50L≤90

Therefore, the system of inequalities that represents a given situation are  S+L>5 and 7.25S+10.50L≤90.

To learn more about the system of inequalities visit:

https://brainly.com/question/16339562.

#SPJ2

which angles on the unit circle have central angles with measures less than 180 degrees

Answers

a central angle is an angle that can be created from the center of the circle.

30°, 45°, 60°, 90°, 120°, 135°, and 150° are central angles.

How many terms are in the expression 4x2 + y - 0 ?
help pleaseeee

Answers

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

plz help i will mark you as brainlist

Answers

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

I’m pretty sure it’s A

If two lines are perpendicular, what must be true about the slopes of the two lines. Select all that apply.

.

slopes are the same

Slopes are reciprocals

Slope are whole values

Slopes are opposites (one positive and one negative)

Answers

Answer:

Concept: Linear Systems

Those that are parallel have equal slope, contrary those that are parallel have reciprocal. Hope this helps!
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