A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?

Answers

Answer 1

Answer:

let x = the number of nickels

 

the number of pennies can be represented by (56 - x)

 

.05x + .01(56 - x) = 1.52

 

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

 

4x + 56 = 152

 

4x = 96

 

x = 24

 

There are 24 nickels and 56 - 24 = 32 pennies

 

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:


Related Questions

Use the distributive property to remove the parentheses. Simplify your answer as much as possible.

Answers

10x^3(8x^3+3x)

([10x^3 x 8x^3]+ [10x^3 x 3x])

80x^6+ 30x^4

•this is as simplified as it gets; it isn’t possible to add or subtract numbers with different exponents.

please vote brainliest if it helped you and have a great day! :)

The two-way frequency table below shows data on mindset and attendance at practice for students in Mateus's study.

Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)


Answers

The two-way frequency table is completed using the rule of division which is shown below.

[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]

What is the two-way frequency?

Two-way frequency tables demonstrate the potential relationship between two pairs of categorical data visually. The frequency (count) information appears in the four (or more) interior cells of the table, with the categories designated at the top and left sides.

The two-way frequency table is completed below.

[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]

More about the two-way frequency link is given below.

https://brainly.com/question/26130888

Answer:

Step-by-step explanation:

0.7       0.3

0.13      0.87

Please answer correctly !!!!!! Will mark brianliest !!!!!!!!!!

Answers

Answer:

The answer is No

Step-by-step explanation:

None of these match eachother or make any sense

Write as an algebraic expression

Answers

Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

express in the form 1:n 5:15

Answers

Answer: n = 3

Step-by-step explanation:

You could treat these two ratios as fractions

[tex]\frac{1}{n} =\frac{5}{15}[/tex]

There are multiple ways in which you can do this, but Im going to teach you the most reliable way. Do cross multiplication by multiplying each side by the others denominators. 15 x 1 and n x 5 to get:

5n = 15

Divide each side by 5 to get n = 3

Which best describes the function?

Answers

Answer:

The last option on the list.

Step-by-step explanation:

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

What is the first step in simplifying the expression 11x-2-3(1-7x)^2\(x+1)

Answers

Answer:

3(1-7x) is first step

Step-by-step explanation:

Answer:

BIDMAS

Step-by-step explanation:

brackets

indices

division

multiplication

addition

subtraction

so.. do everything inside the brackets and then use the square

hope this helps! :)

TheSolution to the equation is ??

Answers

Answer:

X = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

2x^2 + x - 3 = 0

2x^2 + 3x -2x - 3 = 0

x(2x+3) -1 ( 2x+3) = 0

(x-1) (2x+3) = 0

x-1=0

x=1

2x+3=0

2x=-3

x=-3/2.

Which expression is equivalent to (9x + 5y)²?
a) 9x² + 45xy + 5y²
b) 18x² + 45xy + 10y²
c) 45x² + 45xy + 45y²
d) 81x² + 90xy + 25y²
e) 0

Answers

D is the correct answer.

If you don’t understand how then plz don’t hesitate to ask me in the comments.

Find the surface area

Answers

Answer:

401.92

Step-by-step explanation:

Bases: 2(4^2 π)=32π

Curved Surface: 12*(2*4π)=96π

96π+32π=128π=128(3.14)≈401.92

Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?

Answers

Answer:

a(n)=1800+(n-1)200

Step-by-step explanation

The usual formual is an=a1+d(n−1)

a1=The first number is the number you would start on

so 1800=a1

n=the number of times you would do it

you would usually put n-1 because the first number is already been put though the formula

d=the amount of change between each number

so 200=d

A(n)= a of n, like f(n) means f of n

so that why it is a(n)=1800+(n-1)200

i also got it right on A.pex

An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *

A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one

Answers

Answer:

I assume that songs are $0.99 each.  Let x represent the number of songs you download.  Then the total cost of downloading x songs would be

C(x) = $5.00 + ($0.99/song)x

and ONLY integers = to or greater than 0 make sense here.  The domain is [0,  100) assuming you cannot buy more than 100 songs.

Personally I'd give the answer as "2, whole numbers more than or equal to zero."  However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense.  You'd pay $5 plus $0.99 for one song, in that case.

Step-by-step explanation:

Please help! Correct answer only please! I need to finish this assignment by today.

Out of the people who have already taken their seats at a seminar, 3 people have blond hair while 6 people do not. What is the experimental probability that the next person to take a seat will have blond hair?

Simplify your answer and write it as a fraction or whole number.

P(blond) =

Answers

Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

Learn more about probability here:

brainly.com/question/11234923

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Please help me

What is the sum of the series?
Enter your answer in the box.

Answers

Answer:

the sum of the series is 365 is my answer

License plates in Ontario have four letters (A-2) followed by three numbers (0-9). Letters and numbers can be repeated.
How many different license plates could be made?
676,000
480,835,200
4,569,760,000
26,000

Answers

Answer:

456976000

Step-by-step explanation:

There are 26 letters and 10 digits

4 letter then 3 numbers

26*26*26*26*10*10*10

456976000

what is 5 1/6 (-2/5) written as a fraction

Answers

Answer:

-17/5

Use math papa it gives you the answer all you have to do is unput the equation

Step-by-step explanation:

Simplify the question in the picture

Answers

3^5*3^4=3^5*4=3^9
Which means that B is the answer

Answer:

B.3^9

Step-by-step explanation:

3^5•3^4=3^5+4=3^9

This is a math question plz try you best

Answers

Answer:

11/12

Step-by-step explanation:

Calculate the sum

rewrite the fraction

simplify the fraction

Solution 11/12

solve 2x2 + 16x + 6 = 0 by completing the square. Round the solutions to the nearest hundredth

Answers

Solve by completing the square;
X= plus or minus the square root of 13 minus 4
Or in decimal form
X= -0.39. X= -7.61


Keisha solved the following equation:

4x − 2x + 8 = 6(x + 4)


Step Work Justification
1 2x + 8 = 6(x + 4) Combine like terms
2 2x + 8 = 6x + 24 Associative Property of Multiplication
3 −4x + 8 = 24 Subtraction Property of Equality
4 −4x = 16 Subtraction Property of Equality
5 x = −4 Division Property of Equality
Which step has an incorrect justification?

A: 1
B: 2
C:3
D: 5

Answers

Answer:

No 4 I think not to sure tho

Answer:

The Second One

Step-by-step explanation:

It's Supposed to be distributive Property because it's distributing the

6 into x and 4

it includes multiplication in this process so it might be confusing

Hope this helps

Can I have brainlist?

√10·√8 is this equal to the √80?

Answers

Answer: yes

Step-by-step explanation:

They are both equal to 4/5

evaluated 5x - (x + 3)2 for x = 2, 

Answers

Answer:

0

Step-by-step explanation:

5x - (x+3)2

5x - (2x+6)

5x - 2x -6

3x - 6

3(2) - 6

6 - 6

0

Help me for 5 points

Answers

Answer:

12

Step-by-step explanation:

[tex]-3\sqrt{16(4)}+2\sqrt{4(9)^2}=\\\\-3\sqrt{64}+2\sqrt{324}=\\\\-3(8)+2(18)=\\\\-24+36=\\\\12[/tex]

Hope this helps!

El que responda bien 5 estrellas y un gracias 7u7

Answers

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

Write the equation of the line that passes through the point (8, -2) and whose slope is 1/4

Answers

Step-by-step explanation:

y + 2 = 1/4(x - 8)

y +2 =1/4x - 2

y = 1/4x - 4

What is the last step when finding the area of a compound shape?

Answers

Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.

Simplify 5x+3x+2y+4y halp

Answers

Answer:

8x+6y

Step-by-step explanation:

5x+3x+2y+4y

5x+3x= 8x

2y+4y= 6y

The simplified the expression is 2(4x+ 3y).

What is expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

5x+3x+2y+4y

Now, moving the like terms aside

As, 5x + 3x are one pair

and, 2y+ 4y is second like term pair

So, 5x+3x+2y+4y

= (5x+ 3x) + (2y+ 4y)

= x(5 +3)+ y (2+4)

= x(8)+ y(6)

= 8x+ 6y

= 2(4x+ 3y)

Hence, the simplified the expression is 2(4x+ 3y).

Learn more about Expression here:

https://brainly.com/question/14083225

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Suppose you observe the number of passengers arriving at a metro station on a shuttle bus that holds up to 8 passengers. Describe the sample space.

Answers

Answer:

Sample space can be describes as:

S = {0,1,2,3,4,5,6,7,8}

Step-by-step explanation:

Usually used in probability questions, a sample space is defined as a set of collection of all possible outcomes. It is the list of all possible results.

Sample spaces are usually written using set notation, where each possible outcome is listed only once within curly bracket.

S = {outcome 1, outcome 2, ..........}

As it is given the a bus can hold up to 8 passengers. We need to find the sample space of to number of passengers actually riding the bus.

So the minimum numbers of passengers is 0

The maximum numbers of passengers is 8

So the numbers of passengers lies between 0 and 8.

2xsquare-6x+3=0 by completing square method

Answers

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

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