George has only Quarters and nickels in his piggy bank.He has a total of 90 coins.The value of the coins is $16.10. Write and solve a system that can be used to determined how many quarters and how many nickels he has.

Answers

Answer 1

Answer:

The number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels

Step-by-step explanation:

It is important to note that:

A quarter is worth 25 cents = 0.25q

A nickel is worth 5 cents = 0.05n

George has only Quarters and nickels in his piggy bank.

Let the number of

Quarters = q

Nickels = n

He has a total of 90 coins.

Hence,

q + n = 90.... Equation 1

q = 90 - n

The value of the coins is $16.10.

Hence,

0.25q + 0.05n = 16.10....Equation 2

We substitute 90 - n for q in Equation 2

0.25(90 - n) + 0.05n = 16.10

22.5 - 0.25n + 0.05n = 16.10

Collect like terms

- 0.25n + 0.05n = 16.10 - 22.5

-0.2n = - 6.4

n = -6.4/-0.2

n = 32 nickels

Solving for q

q = 90 - n

q = 90 - 32

q = 58 quarters

Therefore, the number of

Quarters = q = 58 quarters

Nickels = n = 32 nickels


Related Questions

Answer this question please. I’ll give Brainliest.

Answers

9514 1404 393

Answer:

  (a)  1 and 3; 2 and 4

Step-by-step explanation:

In this figure, adjacent angles are linear pairs, so are supplementary. The only angles that are not are the vertical angles.

  1 & 3, 2 & 4 are not supplementary

Answer: Its D

Step-by-step explanation:

DO NOT GIVE ME A DARN PDF!!!!!
Solve for x: 27 = 6x - 21.
a.1 = x

b.6 = x

c.no solution

d.8 = x

Answers

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

Here's the answer.

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solve the equation
8.88 = 4.44 (x - 7)
5(y + 2/5) = -13

Answers

Answer: (9,-3)

x=9 y=-3

whats 1/2 mineus 1/3

Answers

Answer:1/2 - 1/3 = 1/6

Step-by-step explanation:

Answer: 1/6 or 0.16

Step-by-step explanation: hope this helps!

Philip made $1,155 in 15 days. Let "m" represent the amount of money that Philp made each day. If Philip made the same amount of money each day, how much did he make in one day.

Answers

Answer:

he made in one day is $77

Step-by-step explanation:

Given that

Philip made $1,155 in 15 days

Now based on the above information

The amount he make in one day is shown below:

= $1,155 ÷ 15 days

= $77

hence he made in one day is $77

The same would be relevant

About 8% of the earth’s crust is made up of aluminum. Write 8% as a decimal

Answers

Answer:

0.08

Step-by-step explanation:

We know that 8% is also [tex]\frac{8}{100}[/tex], and if we move the decimal two places to the left, we will get 0.08.

Find the missing number in the proportion.

23 over 50 = ___ over 100​

Answers

Answer:

46

Step-by-step explanation:

let that number x

so [tex]\frac{23}{50} =\frac{x}{100}[/tex]

I do cross multiplication so 23*100=2300 and 50*x=50x

so 50x=2300 divide both by 50

x=46

Answer:

46

Step-by-step explanation:

since 100 is 50×2 you just do the same thing to 23 and multiply it by 2.

Choose the figure that shows only a radius.

Answers

C is the radius
In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel.

please help i need help with all of these questions

Answers

The first question is 1/2

Answer:

1: 1/2

2: 6

3: 2

4: -4

Step-by-step explanation:

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What is the measure of

Answers

include a picture and i’ll be happy to help!

Write an equation of the line that passes through (-4 , 2) and is parallel to the line
y = 1/4 + 1



SOLVE MY QUESTION PLEASE!!
I’LL PUT YOU IN BRAINLEST!!

Answers

Answer:

y=1/4x + 3

Step-by-step explanation:

We know that the beginning of the equation has to be 1/4x since the line has to be parallel. So what I did was start at -4,2 then go up 1 and over 4, which led me to 3 as the y intercept.

I attached a photo. Not sure if it makes sense but I tried my best.

A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Answers

Answer:

Step-by-step explanation:

Let the number of ounces of

A = x

B = y

A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Our system of equations is given as

x + y = 90.... Equation 1

x = 90 - y

40% × x + 55% × y = 45% × 90 ounces

0.4x + 0.55y = 40.5....Equation 2

We substitute 90 - y for x in Equation 2

Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?

Answers

Answer:

208 meters

Step-by-step explanation:

Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?

tan θ = Opposite/Adjacent

θ = Angle of depression

Adjacent = Horizontal distance = 130 meters

Opposite = Vertical distance = x

θ = 58°

tan 58 = x/130 meters

Cross Multiply

x = tan 58 × 130 meters

x = 208.04348878 meters

Approximately = 208 meters

Therefore, the vertical distance it travelled is 208 meters

A rectangle has and area of 55 Square inches and a length of 5 inches what is the width

Answers

Answer:

11 inches

Step-by-step explanation:

55/5 = 11

Evaluate the expression. 12(7)(4)+6(5)=

Answers

Answer:

Step-by-step explanation:

(12×7×4)+6(5)=

336+30=366

f(x) = -2x^2 + 12x + 3
Find the a, b, and c

Answers

Step-by-step explanation:

a = coffcient of x ² = - 2

b = cofficient of x = 12

c = constant term = 3

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if you find it useful.

What is 1/4 squared??

Answers

Answer:

1/16

Step-by-step explanation:

1²/4² equals 1/16.

1/16 is the answer for 1/4 squared

ERMS is selling tickets to a musical performance. On the first day of ticket sales the school sold 8 adult
tickets and 4 child tickets for $32. On the second day they sold 5 adult tickets and 3 child tickets for $21.
Find the price of an adult ticket and the price of a child ticket.
Adult ticket (x): $
Child ticket (y): $

(i already asked this but no one responded)

Answers

The adult tickets cost $3
so x = 3
and the children’s tickets cost $2
so y = 2

Write 3-5 sentences about the process of Grouping Factoring Method

Answers

Decide if the four terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.
Step 2: Create smaller groups within the problem, usually done by grouping the first two terms together and the last two terms together.
Step 3: Factor out the GCF from each of the two groups. In the second group, you have a choice of factoring out a positive or negative number. To determine whether you should factor out a positive or negative number, you need to look at the signs before the second and fourth terms. If the two signs are the same (both positive or both negative) you need to factor out a positive number. If the two signs are different, you must factor out a negative number.
Step 4: If the factors inside of the parenthesis are exactly the same, it is time for the 2 for 1 special. The one thing that the two groups have in common should be what is in parenthesis, so you can factor out what is inside the parenthesis, but only write what is inside the parenthesis once. If what is inside the parenthesis does not match, you need to rearrange the four terms and try again until you get a perfect match. If you have rearranged the problems a couple of times and still have not found a perfect match, then the problem does not factor.
Step 5: Determine if the remaining factors can be factored any further.


Translate five units left and four units down (geometry)

Answers

Answer:

Step-by-step explanation:

Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers

Answers

Answer:

7,5,3,1

Step-by-step explanation:

metropolis gets 5.8 inches of rain in october, 4.2 inches in novemeber how much does it get in december

Answers

Answer:

2.6

Step-by-step explanation:

Metropolis gets 5.8 inches of rain in October

4.2 inches of rain is seen in November

Therefore the amount that would be seen in December can be calculated as follows

= 5.8-4.2

= 1.6

4.2-1.6

= 2.6

Hence 2.6 inches of rain would be seen in December

21 years ago Alvin was 11 times older than Tomio. The sum of their present age is 54.

Answers

Answer:

Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32

Step-by-step explanation:

1(tomio) x 11 = 11 (alvin) (add 21 to these)

22+32=54

hope that makes sense

Help meeeee please and thank you

1. Complete these statements. Give an example and solution of each.

Whenever you divide two terms with the same base, you ______ the base and _______ the exponents.
Example:

Whenever you multiply two terms with the same base, you _________ the base and ___________ the exponents.
Example:

Answers

Answer:

Whenever you divide two terms with the same base, you keep the base and subtract the exponents.

Example:

x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴

or

8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷

Whenever you multiply two terms with the same base, you keep the base and add the exponents.

Example:

x³ × x⁷ = x³⁺⁷ = x¹⁰

or

12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴

What is the total cost to the nearest cent? $14.30 watch; 6.75% tax

Answers

Answer:

$15.27

Step-by-step explanation:

The answer of this question is 15.27

The rectangular picture frame shown below has a 2-inch width.
12 in
12 in.
22 in
18 in
What is the area of the picture frame?
16 in
136 square inches
152 square inches
O 216 square che
O 352 squarenches

Answers

Answer:

Step-by-step explanation:

Hg6gyby

here is a list of ingredients to make biscuits
200g of butter
180g of caster sugar
400g of plain flour
20g of chocolate chips

Andrew only has 300g of plain flour.
How much of the other ingredients should he use?

Answers

Answer:    150 grams of butter

135 grams of caster sugar

15 grams chocolate chips

300 grams of flour

Step-by-step explanation:

if 300 grams equals 3/4 of 400 grams than all we have to do is get 3/4 of all the other ingredients.

Determine if two triangles are congruent. If they are, state how you know.

A: Not enough information.
B: SSS
C: SAS
D: AAS

help me ASAP please!

Answers

Answer:

B. SSS

Step-by-step explanation:

The two triangles already have 2 congruent sides, and the only missing thing to see is that they both share the same side with one another. This automatically makes them congruent.

What is the measure of n?
6
24
n
m
n =
[?]

Answers

Answer:

n = 12

Step-by-step explanation:

By applying geometric mean theorem in the given right angle triangle,

[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]

BD² = AD × DC

Now substitute the values of each side given,

n² = 6 × 24

n² = 144

n = 12

PLEASE HURRY!!!! WILL GIVE BRAINLYEST!!
The probability of landing on green when spinning a spinner is 1/5. Choose the likelihood that best describes the probability of this event.

A. Impossible
B. Neither likely nor unlikely
C. Unlikely
D. Likely

Answers

Answer:

Step-by-step explanation:

0<1/5<1/2

So it is possible but unlikely

C. Unlikely

Answer:

the person above is right

Step-by-step explanation:

the answer is unlikely

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