A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, ​16% are pennies and 40​% are dimes. There are 5 more nickels than pennies. How much money does the bag​ contain?

Answers

Answer 1

Answer:

$4.98

Step-by-step explanation:

50*16%=8 (pennies), 50*40%=20 (dimes)

8+5=13 (nickels), 50-(8+20+13)=9 (quarters)

So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98

Answer 2

ANSWER: $4.98

Steps for pennies:

1.) 50 * .16 = 8

8 pennies out of 50 coins

2.) 1 cent * 8 = 8 cents

Steps for dimes:

1.) 50 * .40 = 20

20 dimes out of 50 coins

2.) 10 cents * 20 = 200 cents = $2

Steps for nickels:

1.) 8 + 5 = 13

13 nickels out of 50 coins

2.) 5 cents * 13 = 65 cents

Steps for quarters:

1. 8 + 20 + 13 = 41

2. 50 - 41 = 9

3. 9 * .25 = $2.25

FINAL STEP:

8 cents + $2 + 65 cents + $2.25 = $4.98

ANSWER: the bag contained $4.98

*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50

50% = .50


Related Questions

juan has three blue shirts, two green shirts, 7 red shirts, and five pairs of pants, and two pairs of khaki pants. How many different outfuts consisting of one shirt and one pair of pants are possoble?

Answers

Answer:

Step-by-step explanation:

7 x 5 is 35. 7 x 2 is 14. 14 + 35 is 49

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

4y + 3 > 23          subtract 3 from both sides

4y > 20                divide both sides by 4

y > 5

 

-2y > -2                divide both sides by -2 (the order changes)

y < 1

 

(-oo, 1) ∪ (5, oo)

Upvote

SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

A hyperbola centered at the origin has a vertex at (3, 0) and a focus of the hyperbola is located at (9,0). What are
the equations of the directrices?
x = +

Answers

Answer:

Step-by-step explanation:

x²/a² - y²/b² = 1

center (0,0)

vertex (3,0), so a = 3

focus (9,0)

e = 9/a = 3

directrices: x = ±a/e = ±1

The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

What is the general equation of hyperbola?

The general equation of the hyperbola is in the form of

x²/a² - y²/b² = 1

We have been given center (0,0)

vertex (3,0),

so a = 3

focus (9,0)

So, e = 9/a = 3

The equation of directrices:

x = ±a/e = ±1

Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

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6.62 X 0.7= 2.68 X 1.35

Answers

Answer:

3.934 = 3.634; hope this helps........

Step-by-step explanation:

Solve:

Multiply the numbers

5.62 ⋅ 0.7 = 2.68 ⋅ 1.35

3.934 = 2.68 ⋅ 1.35

Multiply the numbers

3.934 = 2.68 ⋅ 1.35

3.934 = 3.618

Result

3.934 = 3.618

The input is a contradiction: it has no solutions

Starbucks customers are complaining that a small cup of coffee at a local Starbucks coffee shop does not contain as much coffee as it should. On average, Starbucks claims that a small cup of coffee contains 360 grams of coffee. The customers decide to order 20 cups of coffee at random times; on average their cups contained 356 grams, and a standard deviation of 9 grams.

Required:
What is the null hypothesis?

Answers

Sharks exhibit a great diversity in their reproductive modes. There are oviparous (egg-laying) species and viviparous (liv

Charmaine runs each lap in 5 minutes. She will run less than 35 minutes today. What are the possible numbers of laps she will run today?

Answers

Answer:

7

Step-by-step explanation:

it is just 35÷5=7 and if she runs every 5 minutes she runs 7 laps.

Which numbers are irrational?

Select each correct answer.

−144−−−√
10−−√
0.04−−−−√
12−−√

Answers

Answer:

10, 12

Step-by-step explanation:

Write an equation of the line that passes through the points (1, 2) and (4, 8)

Answers

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 8)

m = [tex]\frac{8-2}{4-1}[/tex] = [tex]\frac{6}{3}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2 )

2 = 2 + c ⇒ c = 2 - 2 = 0

y = 2x ← equation of line

Answer:

2x-y=0 / y=2x

Step-by-step explanation:

6x-3y=0, 2x-y=0

I need help with this problem anyone know?

Answers

Answer:

i think you cn use frction

6.007 +0.06 + 946 + 3.1 6.007 +0.06 + 946 +3.1=(Type an integer or a decimal)​

Answers

6.007 + 0.06 = 6.067
6.067 + 946 = 952.067
952.067 + 3.1 = 955.167
955.167 + 6.007 = 961.174
961.174 + 0.06 = 961.234
961.234 + 946 = 1907.234
1907.234 + 3.1 = 1910.334

In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.

Answers

Answer:

80+40+44-20÷24+32 ♡♡♡

Using set operations,

1.The number of students who study all the three subjects = 10

2.The number of students who study only mathematics and chemistry = 8

What are set operations?

Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.

Union of setsIntersection of setsComplement of a setRelative Complement

Let mathematics = M, physics = P, chemistry = C.

n(M∪P∪C) = 80

n(M) = 48

n(P) = 40

n(C) = 44

n(M∩P) = 20

n(M∩C) = ?

n(C∩P) = 24

n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32

20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32

n(M∩C) = 3n(C∩P∩M) - 12 - *

We know,

n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)

80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)

n(M∩C) = n(C∩P∩M) + 8 - **

Equating * and **,

n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12

2n(C∩P∩M) = 20

n(C∩P∩M) = 10

putting the value of n(C∩P∩M) in *

n(M∩C) = 18

n(M∩C) - n(C∩P∩M) = 8

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What equation can be used to find the earnings

Answers

29•(30/5) = $174.00.

calculate the value of a​

Answers

Answer:

25°

Step-by-step explanation:

Angles in a circle add up to 360°

5a + (a + 60) + (2a + 100) = 360

5a + 3a + 160 = 360

5a + 3a = 8a

8a + 160 = 360

Make a the subject

8a + 160 = 360

8a = 200

200 ÷ 8 = 25°

Have a great day <3

A tank is draining at a constant rate of 5 gallons of water in 4 hours how many gallons will drain in 15 hours.

Answers

At 8 hours it is 10 gallons, 12 hours it is 15 gallons, 14 hours it is 17.5 gallons, 15 hours it is 18.75 gallons.
So your answer is 18.75 gallons will be drained in 15 hours

Which equation is correct?

sin hº = Z/X
sin hº = X/Z
cos hº = Z/X
cos hº = X/Z

Answers

Answer:

cos h° = x/z

Step-by-step explanation:

SOH CAH TOA

I need help please in my homework 100 point question

Answers

Answer:

5,000? what does it want me to find

Step-by-step explanation:

Factor: 3.x2 + 7x + 2​

Answers

Answer:

x= -1/3 and -2

I have made it in above picture

a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere

Answers

Answer:

The percentage error is 8%

Step-by-step explanation:

Given

[tex]r = 10cm[/tex]

[tex]\triangle r =0.1cm[/tex]

Required

% error in the surface area

The surface area of a sphere is:

[tex]S = \4\pi r^2[/tex]

Differentiate

[tex]dS \approx 8\pi r\ dr[/tex]

Rewrite as:

[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error

The percentage error is then calculated as:

[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]

[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]

[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]

[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]

[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]

[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]

[tex]\% Error = 0.08 * 100\%[/tex]

[tex]\% Error = 8\%[/tex]

Find the least common denominator. Then express each fraction using the least common denominator. 1/9 and 2/15

Answers

Answer:

10/90,12/90

Step-by-step explanation:

least common denominator is 90

PLEEEEEEEEAAAAAAAAAAAASEEEEEEE HELP
What is 1/7 as a decimal rounded to the nearest 100th

Answers

It should be 0.14 if I’m not wrong

Simplify (3 + 6i) – (8 - 5i)
Select one:
a, -5 + i
b. 6
C. 16
d. -5 + 11i

Answers

Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

Step-by-step explanation:

I hope this helps. The answer is D.

Ted can change an advertisement on a billboard in 5hr. Marie can do the same job in 2hr. How long would it take them if they worked together? Write your answer as a fraction or mixed number, if necessary.

Answers

Answer:

Working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

Step-by-step explanation:

Given that Ted can change an advertisement on a billboard in 5 hours, while Marie can do the same job in 2 hours, to determine how long it would take them if they worked together the following calculation must be performed:

Ted 1/5 in 1 hour

Marie 1/2 in 1 hour

1/5 + 1/2 = X

5X + 2X = 10

7X = 10

X = 10/7

X = 1 3/7

60/7 x 3 = 25.71

60 x 0.71 = 42.6

So, working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.

Pam bought 20 pieces of fruit for her class.
o   Each piece of fruit was either an apple or an orange.
o   She spent $1.25 on each apple.
o   She spent $0.95 on each orange.
o   Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
 
Choose the correct define variables and the correct system of equations

Answers

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

Answer:

1.25x+0.95y=22.60

x is apples y is oranges

Step-by-step explanation:

20 - 12 = 8

1.25(12) + 0.95(8) = 22.60

1.25 · 12 = $15

0.95 · 8 = $7.60

15.00 + 7.60 = $22.60

i hope that makes sense

please solve f(x)=2x+3 ​

Answers

Answer:

-3÷2

Step-by-step explanation:

if you have solving for x

1st step: will be to set up the function =0

so 2x+3=0

then 2x=-3

so x= -3/2

(90 POINTS SHOW YOUR WORK!!!) Determine the equation of the line that goes through points (-2, 1) and (1, -1)

Answers

(-1,1) is the correct answer.

Answer:

we have

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-1)/(x--2)=(-1-1)/(1--2)

(y-1)/(x+2)=(-2)/3

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

3y-3=-2x-4

2x+3y-3+4=0

2x+3y+1=0 is a required equation

Can anyone help please? No links cause I can’t see them.

Answers

Answer:

Step-by-step explanation:

you have a right triangle with the hypotenuse of 41 and another side of 40

a=[tex]\sqrt{41^2-40^2}[/tex]=[tex]\sqrt{1681-1600}[/tex]=[tex]\sqrt{81}[/tex]

a=9

Write a story problem for the equation 7z+4=32

Answers

Answer:

z=4

Step-by-step explanation:

7z+4=34

7x=32-4

7z=28

7z/7=28/7

z=4

how many people in the town of summit have jobs if there are 9,255 people in the town and 1/3 of them are employed? simplify the fraction if possible ​

Answers

Answer:

divide 9,255 divide 1/3 and you will get your answer hope this helps :)))

Step-by-step explanation:

In the town of Summit, 3,085 people have jobs. If there are 9,255 people in the town and 1/3 of them are employed.

To find the number of people in the town of Summit who have jobs, we can multiply the total population by the fraction representing the employed individuals.

Total population = 9,255 people

Fraction employed = 1/3

Number of people employed = Total population * Fraction employed

Number of people employed = 9,255 * (1/3)

To simplify the fraction (1/3), we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.

Dividing 1 and 3 by 1, we get:

1/1 = 1

3/1 = 3

So, the simplified fraction is 1/3.

Continuing the calculation:

Number of people employed = 9,255 * (1/3)

Number of people employed = 9,255 / 3

Number of people employed = 3,085

Therefore, in the town of Summit, 3,085 people have jobs.

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What is the value of t

HELP

Answers

Answer:

t = 8°

Step-by-step explanation:

We know that the sum of all the angles in a triangle is equal to 180°

Let's set up our equation => 18t + 36 = 180

Subtract 36 from both sides

18t = 144

t = 8

Thus, we have our answer

The cashier determines that the customer's groceries total $156.75. If the sales tax is four percent, how much will the customer have to pay for their groceries, including tax?

Answers

156.75•.04 = 6.27 ||| 6.27+ 156.75 = $163.02
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