There are 50 dimes in a roll of dimes, 40 nickels in a roll of nickels, and 40 quarters in a roll of quarters. Rob has 12 rolls of coins with a total value of $70.00. He has 3 more rolls of nickels than dimes. How many rolls of each coin does he have?

Answers

Answer 1

5 rolls of quarters, 2 rolls of dimes and, 5 rolls of nickles.

Related Questions

Melissa had 56 pens and 37 pencils thanks. How many pencils did Melissa have?

Answers

Just by adding both of these, pens and also pencils, these actually both signify the same word, "pencils".

We do . . . .

[tex]\boxed{56+37=3}[/tex]

(93) should be your correct answer!

You were just approved for a $32,000 car loan at an APR of 1.99% for 60 months. As you make payments over time: your payment is , the amount of interest you will pay each month , and the amount of principal you pay each month .

Answers

What it Means...

If you borrow $32,000 at 1.99% for 5 years, your monthly payment will be $560.75.

The payments do not change over time. The loan amortizes over the repayment period, meaning the proportion of interest paid vs. principal repaid changes each month. As the loan amortizes, the amount of monthly interest paid decreases while the amount of principal paid increases.

Loan Amount: $32,000
Term (years): 5 (60 Months)

Annual Interest Rate (%): 1.99% Monthly Payment = $560.75

Check out upload files

Amortization Schedule

Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?

Answers

Divide 60 by 12 and multiply that answer by 7. Take that answer and subtract it from 60, the number you have left over should be the number of red balloons you have.

Answer: 25, mark brainlist

Step-by-step explanation:

The point (5, -2) is rotated 90° about the origin. Its image is
a.(-2, 5)
b.(2, 5)
c.(-5, 2)

Answers

rotated 90° about the origin
(x,y) = (-y, x)

so (5, -2) is rotated 90° about the origin = (2, 5)

answer
b.(2, 5)

At a movie, 1/4 of the people in the theater were men, 5/8 were woman l, and the rest were children. If there were 100 more woman than children, what was the total number of people in the theater.

Answers

Let
x---------------> number of men in the theater
y---------------> number of women in the theater
z---------------> number of children in the theater
T--------------> total number of persons in the theater

we know that
T=x+y+z
x=(1/4)*T
y=(5/8)*T----------> equation 1
z=T-[(1/4)*T+(5/8)*T]-----> z=T-(7/8)*T------> z=(8*T-7*T)/8------> z=(1/8)*T
z=(1/8)*T----------> equation 2

y=100+z--------> equation 3
I substitute (1) and (2) in (3)
(5/8)*T=100+(1/8)*T------> (5/8)*T-(1/8)*T=100--------> T=200 persons

the total number of people in the theater was 200 persons
number of men in the theater------> 200*(1/4)=50 men
number of women in the theater----> 200*(5/8)=125 women
number of children in the theater----> 200*(1/8)=25 children

5 quarts =how many fluid ounces

Answers

160 fluid ounces :) hope this helped

1 us liquid quart= 32 us fluid ounces

multiply the number of quarts by 32 ounces per quart

= 5 quarts * 32 oz/qt
= 160 fluid ounces

ANSWER: There are 160 fluid ounces in 5 quarts.

Hope this helps! :)

A basketball player gets 2 free-throw shots when she is fouled by a player on the opposing team. She misses the first shot 40% of the time. When she misses the first shot, she misses the second shot 5% of the time. What is the probability of missing both free-throw shots?

Answers

The probability that the player misses the first shot = 40% = 0.4

When first shot is missed, the probability that she misses the second shot = 5% = 0.05

The probability of missing both shots will be the product of the probabilities of missing individual shots which will be:

Probability of missing both shots = 40% x 5% = 0.4 x 0.05 = 0.02 = 2%

Thus there is a 2% probability that the basketball player misses both free-throw shots.

Cheryl paid $3 for each pin in her collection. She bought 32 pins in March and 56 pins in April.

How much did Cheryl spend on pins in April?

A.
What is the total amount of money Cheryl spent buying pins?

B.
How many pins did Cheryl add to her collection in March and April?

C.
What is the total cost of the pins that Cheryl bought in April?

D.
What is the difference between the number of pins bought in March and April?

Answers

A) She spent $264 in both March and April
B) She added 88 pins in total to her collection
C) She spent $168 in April
D) The difference is 24 pins
If you want me to explain the answers, just let me know :)

A. As with any purchase, the total cost is the cost of each item multiplied by the number of items.
$3×(32 +56)
= $3×88
= $264

B. From part A, 88 pins.

C. $3×56 = $168

D. 56 -32 = 24
Cheryl bought 24 more pins in April than in March.

(Sometimes, "the difference of M and A" is intended to be strictly interpreted as "M - A". If that is the intent here, then the answer would be -24. More commonly, this wording is interpreted in common English to mean the value that results when the smaller number is subtracted from the larger one.)

PLZZZZZZ HELPPPP

Solve the system of equations using the substitution method.
{2x+8y=4x=−3y+5 Enter your answers in the boxes.

Answers

2x + 8y = 4
x = -3y + 5

plug in the value of x, from the second equation, into the first
2(-3y + 5) + 8y = 4
-6y + 10 + 8y = 4
combine like terms
2y + 10 = 4
subtract 10
2y = -6
divide both sides by 2
y = -3

then, plug what you got for y into one of the equations
x = -3y + 5
x = -3(-3) + 5
x = 9 + 5
x = 14

Hope this helps! And yes, it's correct!

The method of substitution is a three step method to solve the equations. In this method , one equation for one of the variables is solved and in the first step.

The outcome is then substituted to the second equation in the second step for solving the equation.The value is re-substituted to the original equation to find the outcome in the third step.

On solving the equations by substitution method we get x=14 and y=-3

Calculation:

Given equations:

[tex]\rm 2x+8y = 4[/tex] (1)

[tex]\rm x=-3y+5[/tex] (2)

On substituting [tex]x=-3y+5[/tex] in equation 1:

[tex]\begin{aligned}\rm 2(-3y+5)+8y&=4\\\\-6y+10+8y&=4\\\\2y+10&=4\\\\2y&=4-10\\\\ 2y &= -6\\\\y&=\dfrac{-6}{2}\\\\y&=-3\end[/tex]

Substituting [tex]\rm y=-3[/tex] in equation 2:

[tex]\rm x&=-3y+5\\\\x&=-3(-3)+5\\\\x=9+5\\\\x=14[/tex]

Therefore the values of x and y for the given equations is 14 and -3 respectively.

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I don’t really get it please help me out!

Answers

The greatest amount of sap collected was 1 gallon. The lowest was 1/4 of a gallon. 1 gallon is 4 times as great as 1/4. So the answer is 4.

Q.8 What is the tail length?

Answers

If I'm correct you should make a fraction first
5.4 3.6
----- to -----
4.8 ?

Now find the missing number
5.4 to 3.6 would be a difference of ÷ 1.5 so you must do the same for 4.8

÷1.5
5.4 3.6
----- to -----
4.8 3.2
÷1.5

The tail length should be 3.2 feet

The tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.

The problem states that the alligator's tail length, [tex]$T$[/tex], varies directly with its body length, [tex]$B$[/tex]. When two quantities vary directly, we can express this relationship using a proportionality constant, often denoted as [tex]$k$[/tex]. In this case, we have:

[tex]$\frac{T_1}{B_1} = \frac{T_2}{B_2}$,[/tex]

where [tex]$T_1$ and $B_1$[/tex] are the initial tail length and body length, and [tex]$T_2$ and $B_2$[/tex] are the final tail length and body length.

Given that an alligator with a body length of 5.4 feet has a tail length of 4.8 feet, we can use this information to find [tex]$k$:[/tex]

[tex]$\frac{4.8}{5.4} = \frac{T_2}{3.6}$.[/tex]

Now, solve for [tex]$T_2$:[/tex]

[tex]$T_2 = \frac{4.8}{5.4} \times 3.6$.[/tex]

[tex]$T_2 \approx 3.2$ feet.[/tex]

So, the tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.

The tail length is 3.2 feet. This result confirms the direct variation between tail length and body length, where [tex]$T$[/tex] is proportional to [tex]$B$[/tex] with a proportionality constant of approximately 0.8889 (4.8/5.4).

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What the complement of 54.6 degree

Answers

complementary angles add up to 90°, if say the angle is "x", then

x + 54.6° = 90°

x = 90° - 54.6°.

Yolanda closed on a 20 year home loan for $83,000. she chooses to buy only 1 point at closing. by buying a point at her closing, yolanda reduced her monthly payment by $7.63. based on the fact that yolanda chose to buy a point at closing, what would you infer is the minimum amount of time that she will own the home? A) 6 Years B) 11 Years C) 16 Years D) 20 Years

Answers

The correct answer is B) 11 years

Minimum amount of time that Yolanda will own the home is for at least 11 years

What is Division?

A division is a process of splitting a specific amount into equal parts.

To calculate the minimum amount of time that Yolanda will own the home

We need to determine how long it will take for the monthly savings to equal the cost of the point.

One point is equal to 1% of the loan amount, so Yolanda paid $830 (1% of $83,000) at closing for the point.

To find out how many months it will take for the monthly savings to equal the cost of the point, we divide the cost of the point by the monthly savings:

$830 ÷ $7.63 = 108.77 months

Since there are 12 months in a year, 108.77 months is 11 years.

Therefore, we can infer that Yolanda will own the home for at least 11 years

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what is the answer please

Answers

Hey there!

Use The Pythagorean theorem. It’s a^2+b^2=c^2. Plug in 11 and 60. The equation would be 11^2+60^2=c^2. Simplify to get 121+3600=c^2. Simplify again to get 3721=c^2. Sqaure root each side to get c=61. The answer is the last one, c=61.

I hope this helps!

solve on the interval (0,pi)
1+cosθ=((sqrt3)+2)/2

Answers

[tex]\bf 1+cos(\theta )=\cfrac{\sqrt{3}+2}{2}\implies cos(\theta )=\cfrac{\sqrt{3}+2}{2}-1 \\\\\\ cos(\theta )=\cfrac{\sqrt{3}+2}{2}-\cfrac{2}{2}\implies cos(\theta )=\cfrac{\sqrt{3}\underline{+2-2}}{2}\implies cos(\theta )=\pm\cfrac{\sqrt{3}}{2} \\\\\\ cos^{-1}[cos(\theta )]=cos^{-1}\left( \pm\cfrac{\sqrt{3}}{2} \right)\implies \measuredangle \theta = \begin{cases} \frac{\pi }{6}\\\\ \frac{5\pi }{6}\\\\ \frac{7\pi }{6}\\\\ \frac{11\pi }{6} \end{cases}[/tex]

Suppose a shipment of 140 electronic components contains 3 defective components. to determine whether the shipment should be accepted, a quality-control engineer randomly selects 3 of the components and tests them. if 1 or more of the components is defective, the shipment is rejected. what is the probability that the shipment is rejected?

Answers

Final answer:

To find the probability that a shipment of 140 electronic components, with 3 defects, is rejected upon testing 3 components, calculate the complement (all non-defective) and subtract from 1.

Explanation:

The question involves determining the probability that a shipment containing 140 electronic components, with 3 being defective, is rejected based on a quality-control test of 3 components. To solve, consider the complementary probability - the chance all selected components are non-defective. First, calculate the probability of picking 3 non-defective components: (137/140) * (136/139) * (135/138). Then, subtract this probability from 1 to find the probability of the shipment being rejected.

1 - [(137/140) * (136/139) * (135/138)] equals the probability the shipment is rejected. After performing the calculations, you find that the shipment's rejection probability is determined by the presence of at least one defective component in the tested sample.

(a) A convex, 11-sided polygon can have at most how many obtuse interior angles? (b) A convex, 11-sided polygon can have at most how many acute interior angles?
Please provide an explanation!

Answers

A) All 11 interior angles may be obtuse.
B) At most 3 interior angles may be acute.

Explanation:
A) To find the sum of the angles of a polygon, we use (n-2)(180), where n is the number of sides. We would then have (11-2)(180)=9(180)=1620. If the polygon is regular, we divide this by the number of sides; 1620/11 = 147.23. Thus all 11 angles would be obtuse in a regular 11-sided figure.

B) All interior angles of a polygon have an exterior angle that is supplementary to it. If the interior angles are acute, that means the exterior angles are obtuse. Likewise, if the interior angles are obtuse, the exterior angles would have to be acute.

The sum of the exterior angles of any polygon is 360. This means there can be no more than 3 obtuse exterior angles; since obtuse means greater than 90, if there were 4 obtuse angles, 4 angles greater than 90, the sum would be more than 360. If there can be no more than 3 obtuse exterior angles, then there can be no more than 3 acute interior angles.

whats the distance between (-8,-7) (8,-4)

Answers

To find the distance between points, use the distance formula.

Distance formula: [tex] \sqrt{ (x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} } [/tex]

Plug in your values for [tex] x_{2}, x_{1}, y_{2}, y_{1}[/tex] using (-8, -7) and (8, -4) and solve.

[tex] \sqrt{(8 - (-8))^{2}+(-4 - (-7))^{2}} [/tex]
[tex] \sqrt{(8+8)^{2}+(-4+7)^{2}} [/tex]
[tex] \sqrt{(16)^{2}+(3)^{2}} [/tex]
[tex] \sqrt{256+9} [/tex]
[tex] \sqrt{265} [/tex] ≈ [tex] 16.28[/tex]

Answer:
Approximately 16.28 units.

if the triangle PQR sin(P)=0.2,sin(R=)0.4 and r=22 what is length of p

Answers

we know that
the law of sines
a/sinA=b/sinB=c/sinC

then
p/sinP=r/sinR--------> p=r*sinP/sinR-------> (22*0.2)/0.4------> p=11

the answer is p=11 units

Answer:

Thank you

Step-by-step explanation:

Shondra found large candles on sale at her favorite store. She has a large family and many friends, so she bought as many of the candles she could fit in her trunk to give as gifts. Her trunk is 2 feet deep, 4 feet wide, and 3 feet long. If each candle comes in a cube box with 1 foot edges, how many candles will fit in her trunk?

Answers

The trunk of the car is shaped like a rectangular prism whose volume is length * width * height.

The volume of the trunk is LWH = 3 ft * 4 ft * 2 ft = 24 ft^3

The volume of a cube is the cube of the side (edge)
.
Each cubic box has volume V = s^3 = (1 ft)^3 = 1 ft^3

Now we divide the volume of the trunk by the volume of each cube box.

[tex] \dfrac{24 ft^3}{1 ft^3} = 24 [/tex]

Answer: She can fit 24 boxes in her trunk.

The hypotenuse of a right triangle is 8 centimeters long. One of the legs of the triangle is 7 centimeters. What is the length of the triangle's other leg?

Answers

Answer:

3.87 centimeters

Step-by-step explanation:

sorry its took 3 years lol :)

Answer:

3.87 centimeters

Step-by-step explanation:

Got it right on Imagine math.

Please Help!!
In 1802. Albert Mathieu Favier imagined building a tunnel for horse drawn carriages underneath the English Channel. If the tunnel was 32 miles long and the carriage traveled 12 miles per hour, how long would it take to travel the length of the tunnel?

A. 2 hours and 40 minutes
B. 2 hours and 10 minutes
C. 3 hours and 10 minutes
D. 3 hours and 7 minutes

Answers

12 per hour

24 2 hours

36 3 hours

Closest answer would be (A) Im 100% Sure!!!

i think it would b B.
If you divide 32 and 12 then you get 2.66
Convert that to hours and minutes and you get 2 hr 10 mins

Determing wheter two ratios form a proportion

Answers

(2 3/8)/(1 1/2) = (19/8)/(3/2) = (19/8)*(2/3) = 19/12

(9 1/2)/6 = (17/2)/6 = 17/12

17/12 ≠ 19/12

The two pairs of numbers are NOT proportional.

Assume that when adults with smartphones are randomly selected, 48% use them in meetings or classes. If 55 adult smartphone users are randomly selected, find the probability that at least 22 of them use their smartphones in meetings or classes.

Answers

This is a problem of Binomial Probability.

Success Rate = p = 0.48
Sample Size = n = 55
Number of success = x = 22

We are to find [tex]P(X \geq 22)[/tex] i.e. that probability that atleast 22 adults use the smartphone in meetings or class.

The probability can be calculated using the Binomial Calculators and it comes out to be 0.907.

This means there is 0.907 or 90.7% probability that there are atleast 22 adults among the 55 selected adults who use cell phones in meeting or class.

the sum of two numbera is 122. the second number is 18 less than three times the first number. find the numbers. help please!

Answers

so you can write two equations
x + y = 122
y = 3*x - 18
by substitution:
x + (3x - 18) = 122
now you simplify:
4x - 18 = 122
4x = 140
x = 35
to find y, you can use the first equation
35 + y = 122
y = 87

How many square feet of outdoor carpet will we need for this hole?

Answers

The overall rectangle is 5' by 12', so 60 ft².

The rectangular cutout is 2' by 3', so 6 ft².
The triangular cutout has a 3' base and a 4' height, so is 6 ft².

The green area is 60 ft² - 6 ft² - 6 ft² = 48 ft².

You need 48 square feet of outdoor carpet for this green in your putt-putt golf course.

A 2 liter drink costs $0.10 per deciliter. How much does the drink cost?

Answers

I liter is ten deciliters
0.1*20=2
2 dollars

The price of drink is given as 0.10 dollars per deciliter.

It says to find the cost of 2 liters of drink.

We need to convert the units from liters to deciliters.

We know 1 liter = 10 deciliters.

then 2 liters = 20 deciliters.

So we need to find the cost of 20 deciliters of drink at rate of 0.10 dollars per deciliter.

1 deciliter of drink cost = 0.10 dollars.

20 deciliter of drink would cost = 20 x 0.10 dollars = 2.00 dollars.

Hence, 2 liters of drink would cost 2 dollars.

Shryia read a 480 page long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read. Let P(t) denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula.

Answers

The correct answer is P(t)=-52t+480. Hope this helped.

Final answer:

The function representing the number of pages Shryia has left to read at a given time is P(t) = 480 - 52t, considering she reads at a constant rate of 52 pages per hour.

Explanation:

Shryia read a 480-page book in one session at a constant rate. Since P(t) represents the number of pages she has left to read at time t, after 1.5 hours, she had 402 pages left. To find the rate at which she reads, we can see that in 1.5 hours, she read 480 - 402 = 78 pages. Thus, her reading rate is 78 pages per 1.5 hours, or 52 pages per hour.

At time t=0, the book is completely unread, meaning P(0) = 480 pages. Her reading rate is constant, so the function is linear: for every hour that passes, 52 more pages are read. Therefore, the number of pages left, P(t), decreases by 52 for each hour. The function P(t) can then be defined as:

P(t) = 480 - 52t

Rebekah wants to read a certain number of pages each day during summer vacation. Today she reads 204 pages, which is 136% of her goal. How many pages does Rebekah want to read each day?

Answers

Rule of three
Pages %
204 → 136%
x → 100% (her goal)

x=204*100%/136%
x=150 pages

Answer: Rebeca wants to read 150 pages each day

Given that Rebekah wants to read a certain number of pages each day and today she has read a total of 204 pages which is 136% of her goal, to find the number of pages that she wants to read per day we proceed as follows:
The percentage of pages she wants to read is 100%
thus the number of pages represented by this is:
100/136×204
=150 pages

2x+1=3(x+1)-x-2 solve for x

Answers

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

infinite answers

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