Lillian’s has $3.80 in nicole’s and quarters in her backpack. She has 22 more nickels than quarters. How many coins of each type does she have?

Answers

Answer 1

Question: Liliana has $3.80 in nickels and quarters in her purse. She has 22 more nickels than quarters. How many coins of each type does she have?

Solution:

Liliana has $3.80 in nickels and quarters in her purse.

She has 22 more nickels than quarters.

We first have to establish a system of equations. Since we have two unknown variables, we need to have two equations. The first equations;

let x = number of quarters

x+22 = number of nickels

The total worth of coins = $3.80

The value of a quarter is $0.25 and the value of a nickel is $0.05.

According to the problem:

\(0.25x+0.05(x+22)=3.80\)

Applying the distributive property, we get:

\(0.25x+0.05x+1.1\text{ = 3.80}\)

this is equivalent to:

\(0.25x\text{ +0.05x = 3.80}-1.1\)

this is equivalent to:

\(0.3x=2.7\)

Solving for x, we obtain:

\(x=\text{ }\frac{2.7}{0.3}=9\)

Thus, we obtain that:

The number of quarters = x = 9

number of nickels = x+22 = 9+22 = 31

So t


Related Questions

Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?

Answers

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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4/5 + 1/3 simplified

Answers

Answer:

17/15

Step-by-step explanation:

I am playing a number game, there are 2 tiles for each number from 0 thru 9. One tile is chosen at random, can you list the possible outcomes ?

Answers

Answer:

If each tile has a number from 0 thru 9 then the possible outcomes for each tile are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

A colony of bacteria is growing exponentially according to the function below,where tis in hours. What will the approximate number of bacteria be after 8hours?

A colony of bacteria is growing exponentially according to the function below,where tis in hours. What

Answers

Answer:

Alternative D - 2407 bacteria

Step-by-step explanation:

The num

Lines m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?​

Answers

Answer:      The slope of p is 1/3

Step-by-step explanation:    

If the lines are perpendicular, this means they are opposite.

Thus, O is opposite P and since O = -3, P = 1/3

Question
The sum of the measures of the angles of a triangle is
180. The sum of the measures of the second and third angles is five
times the measure of the first angle. The third angle is 30 more than the second. Let T. y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.
Provide your answer below:

Answers

Answer:

t = 30°y = 60°z = 90°

Step-by-step explanation:

The given relations can be used to write three equations for the angle values.

Setup

  t + y + z = 180 . . . . . sum of all angle measures

  y + z = 5t . . . . . . . . second and third total 5 times the first

  y + 30 = z . . . . . . third angle is 30 more than the second.

__

Solution

Using the third equation to substitute for z in the first two equations gives ...

  t + y + (y +30) = 180   ⇒   t +2y +30 = 180

  y + (y +30) = 5t   ⇒   2y +30 = 5t

Using the second of these equations to substitute for (2y+30) in the first, we have ...

  t +5t = 180

  t = 180/6 = 30 . . . . . . divide by the coefficient of t

Using this value in our equation for 5t gives ...

  2y +30 = 5(30)

  2y = 120

  y = 60

Then the value of angle z is ...

  y +30 = z = 60 +30

  z = 90

The first, second, and third angles are 30°, 60°, and 90°, respectively.

What is the meaning of "each partition P of X defines an equivalence relation on X"?

What is the meaning of "each partition P of X defines an equivalence relation on X"?

Answers

The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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Determine the following ratio

Determine the following ratio

Answers

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.

Which means that option D is correct.

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What is the volume of the container below? 2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches. 576 inches cubed 1,080 inches cubed 1,584 inches cubed 1,920 inches cubed

PLEASE ANSWER FAST ITS MY CUMULATIVE EXAM

Answers

Answer:

The volume of the container is 1584 inch³.

Step-by-step explanation:

The volume of a rectangular prism is:

\(\text{Volume}=\text{l}\times\text{w}\times\tect{h}\)

It is provided that the container is made up of two rectangular prisms.

The dimensions are as follows:

Prism 1: length of 14 inches, width of 6 inches, and height of 16 inches.Prism 2: length of 10 inches, width of 6 inches, and height of 4 inches.

Compute the volume of the rectangular prism 1 as follows:

\(\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)\(\text{V}_{1}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)

    \(=14\times 6\times 16\\=1344\)

Compute the volume of the rectangular prism 2 as follows:

\(\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)\(\text{V}_{2}=\text{l}_{2}\times\text{w}_{2}\times\text{h}_{2}\)

    \(=10\times 6\times 4\\=240\)

Then the volume of the container will be:

\(\text{Volume of container}=\text{V}_{1}+\text{V}_{2}\)

                             \(=1344+240\\=1584\)

Thus, the volume of the container is 1584 inch³.

Answer:

Step-by-step explanation:

What is the volume of the container below?

2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches.

576 inches cubed

1,080 inches cubed

1,584 inches cubed

1,920 inches cubed

‼️‼️‼️‼️‼️‼️‼️Please tell me the area and attach work but please explain it to me

Please tell me the area and attach work but please explain it to me

Answers

Answer:

You have to break it into two rectangles.

Step-by-step explanation:

Once you have it in two rectangles, I found the width of the smaller rectangle because I know the whole side is 16.  I know the larger rectangle has a width of 13.  I subtracted to find that extra little bit of space is 3.  The formula for a rectangle is length x width.  Now you just need to find the area of each rectangle and add them together.

Please tell me the area and attach work but please explain it to me

Answer:

Step-by-step explanation:

so what I did is made the full rectangle then removed the blank.

21x16=336

Now the blank space

16x3=48

336-48=288

what would be the answers for these ????

what would be the answers for these ????

Answers

Answer:

Step-by-step explanation: the y would be 50

27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%

Answers

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

How the rate is determined:

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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I need help asap!!!

I need help asap!!!

Answers

If she makes 25% and she shoots 120 the 25% of 120 is 30

Determine which pair of points has a negative slope.
a
(-10, -3), (-7, 6)
c. (7, 7), (-8, 1)
b. (5,2), (-9,-10)
d. (2,9), (-3,-1)

Answers

Answer:

We conclude that all the pairs of points have positive slopes.

Thus, there is NO pair of points that has a negative slope.

Step-by-step explanation:

a)

Determining the slope between (-10, -3), (-7, 6)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-10,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-7,\:6\right)\)

\(m=\frac{6-\left(-3\right)}{-7-\left(-10\right)}\)

\(m=3\)

b)

Determining the slope between (7, 7), (-8, 1)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{1-7}{-8-7}\)

\(m=\frac{2}{5}\)

c)

Determining the slope between (5,2), (-9,-10)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{-10-2}{-9-5}\)

\(m=\frac{6}{7}\)

d)

Determining the slope between  (2,9), (-3,-1)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{-1-9}{-3-2}\)

\(m=2\)

We conclude that all the pairs of points have positive slopes.

Thus, there is NO pair of points that has a negative slope.

nikooa buys a bouquet of 8 sunflowers for $18.

What is the cost of 1 sunflower?

Answers

1 sunflower costs $2.25

you divide 18 by 8
(the total costs by the number of flowers)

Answer: The cost of one sunflower is $2.25

Step-by-step explanation:

To find the cost o 1 sunflower, divide each unit's value by 8. To get from 8 flowers to 1 you will divide 8 by 8.   Now we have to divide the money by 8 as well.  

18/8 = 2.25  

This means the cost of one sunflower is $2.25

A jar contains 24 blue marbles, 16 red marbles, and 14 white marbles. Find the simplified ratio of total marbles to red marbles.

Answers

The simplified ratio of total marbles to red marbles is 27 to 8

How to determine the ratio of the marbles?

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

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I need help with this

I need help with this

Answers

it’s 60 degrees so the first one
The answer will be 60 degrees
Hopefully it’s right

What is graph theory? Math

Answers

Graph theory is the idea and study of graphs within the field of math.
The idea and study of graphs

Any help please thank you I appreciate

Any help please thank you I appreciate

Answers

Answer:

A)

Step-by-step explanation:

from 0 to 5, x was moved right 5 units on the first is + 5

then, -1 to -5. it went down 4 units so -4

How do u solve for h??

How do u solve for h??

Answers

Answer:

(2a)/(B+b)=h

Step-by-step explanation:

multiply by the reciprocal of 1/2 to get 2 and then divide (B+b) to get h by itself

mark brainliest thankksss

20>5 + 2n - 9
Plz help me with this

20>5 + 2n - 9Plz help me with this

Answers

Step-by-step explanation:

20>5+2n-9

20+9>5+2n

29-5>2n

n>12

hope it helps.

Let S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1i + 1j + 3k across the surface S.

Answers

The vector field F = 1i + 1j + 3k has a flux of 2 across the surface S. We use Green's Theorem to determine the vector-flux field.

Explain the Green's Theorem?The simple formula for Green's theorem is the link between the total amount of microscopic circulation inside of curve C and the macroscopic circulation revolving around it.Green's Theorem in flux form for the specified vector-field:

φ = ∫ F.n ds

φ = ∫∫ F. divG.dA

In which, G is equivalent to a part of given plane = 2x + 1y + z = 2.

And,  F = 1i + 1j + 2k

Thus,

div G = div(2x + 1y + z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 3k) (2x + 1y + z).dA

φ = ∫ (2 + 4 + 2).dA

φ = 8∫dA

A = 1/2 XY (on this given x-y plane)

2x+4y =2

For, x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Thus,  flux = 8*1/4 = 2

φ = 2.

There are several uses for Green's theorem. Solving two-dimensional flow integrals, whose assert that its sum of fluid outflows from just a volume equals the sum of outflows around an enclosed area, is one way to accomplish this.

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The complete question is-

Let S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1i + 1j + 3k across the surface S. F = 1i + 1j + 3k across the surface s2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field.

what is the measure of the reference angle for a 102 degree angle? A. 78 degrees B. 68 degrees C. 57 degrees D. 12 degrees

Answers

Answer:

A. The reference angle measures 78 degrees

A total of 27 students are in your class. There are nine more males than females.

How many females are in your class?

Answers

9 females. 18 males.

find the sum for(2x−6)+4(x−3)

Answers

Use distributive property
4(x-3) = 4x-12
2x-6 + 4x - 12
Combine like term
6x - 18

Answer:

6x - 18

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

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

Step 2: Simplify

Distribute 4:                         2x - 6 + 4x - 12Combine like terms (x):       6x - 6 - 12Combine like terms (Z):       6x - 18

If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.

Answers

There’s a difference between an infinite amount of something and an infinitely compounding amount of something. You’re infinitely expanding on a finite starting point. So while there is no definitive end point, the start point is finite.

21. In the voting for City Council Precinct 5, only of all eligible voters cast votes. What fraction of all eligible voters voted for Shelley? Morgan? Who received more votes?​

Answers

All eligible voters voted for Shelley= 3/20 ,

All eligible voters voted for Morgan= 31/100,  Morgan received most votes.

What is mean by multiplication?

Multiplication is a mathematical operation that embodies the basic idea of numerous additions of the same number. The outcomes of multiplying two or more numbers are referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplication facilitates the process of adding the same number again.

Let's suppose Precinct 5 has 100 registered voters. There were 50 voters who participated in the election because only 50% of those who were eligible to vote actually did so.

3/10 of the votes were cast for Shelley, which translated as 3/10 x 50 or 15 votes.

With 5/8 of the vote, Morgan received 5/8 x 50 votes, or 31.25 votes. Therefore, we must round this figure down to 31 votes as we are dealing with whole voters.

We must divide the number of votes received by the total number of eligible voters in order to determine the percentage of all eligible voters who cast a ballot for Shelley: 100 eligible voters x 15 votes = 3/20.

Morgan won the most votes since she received more than Shelley.

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Carry out the following division.​

Carry out the following division.

Answers

Answer:

-6l²m

Step-by-step explanation:

v. -54l⁴m³n² / 9l²m²n²

= -6l²m

write the following mathematical expressions in simplest form 3.5 m + 2 (0.6 M - 5) + 4​

Answers

Answer:hamburger

Hamburger

Step-by-step explanation:hamburger

Hamburger

PLEASE HELP! I'm lost. :(

In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean
µ = 520 and population standard deviation = 115.

What math SAT score is 1.5 standard deviations above the mean? Round answer to a whole number.

Answers

Answer:

A math SAT score of 693 is 1.5 standard deviations above the mean

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean µ = 520 and population standard deviation = 115.

This means that \(\mu = 520, \sigma = 115\)

What math SAT score is 1.5 standard deviations above the mean?

This is X when \(Z = 1.5\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(1.5 = \frac{X - 520}{115}\)

\(X - 520 = 1.5*115\)

\(X = 693\)

A math SAT score of 693 is 1.5 standard deviations above the mean

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