Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?

Please help me, thank you very much!! <3

Answers

Answer 1

Answer:

5 dimes 2 nickels 10 quarters

Step-by-step explanation:

Let n = number of nickels

      d = number of dimes

      q = number of quarters

n = d - 3 (The number of nickles was 3 less than the number of dimes)

d= q - 5 (The number of dimes was 5 more than the number of quarters)

0.05n + 0.1d + 0.25q = 3.1

Use substitution:

n=q-8

0.05n + 0.1d + 0.25q = 3.1

0.05(q-8) + 0.1(q-5) + 0.25q = 3.1

0.05q-.4 + 0.1q -.5 +0.25q = 3.1

0.4q-0.9=3.1

0.4q=4

q = 10

n =q-8    n = 10-8     n=2

d=q - 5     d = 10-5     d = 5


Related Questions

What is the area of the triangle?
3
2
6

Answers

Answer:

A = 6 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (6)(2)

A = 6 units^2

Answer:

6 units^2

Step-by-step explanation:

The area of a triangle can be found using the following formula.

a=(bh)/2

where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.

b=6

h=2

Substitute these values into the formula.

a=(6*2)/2

Multiply 6 and 2 first.

a=12/2

Divide 12 by 2

a=6

Add appropriate units. Area always has the unit squared.

a= 6 units^2

The area of the triangle is 6 square units.

Determine the number of real solutions to the quadratic equation 5a2−6a+10=0.
Select the correct answer below:
0 real solutions
1 real solution
2 real solutions

Answers

Answer:

There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.

Step-by-step explanation:

We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.

If pa² + qa + r = 0 and p > 1.

Thus, D = q² - 4pr.

If D > 0, then the equation has 2 real solutions.

If D = 0, then the equation has 1 real solution.

If D < 0, then the equation has 0 real solutions.

We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:

p = 5

q = -6

r = 10

D = q² - 4pr

D = (-6)² - 4(5)(10)

D = 36 - 200

D = -164

D < 0

Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.

I hope this helps! Sorry if my English didn't really help with having a clearer explanation.

HELPPP
Lane has a gift card worth $300 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lane must purchase at
least seven items. Which is a combination of movies and newly released video games that
Lane could purchase using his gift card?

A 01 movie and 6 video games

B2 movies and 4 video games

C6 movies and 5 video games

D8 movies and 1 video game

Answers

Answer:

D) 8 movies and 1 video game

Step-by-step explanation:

We are given that Lane has a gift card worth $300 for a local entertainment store.

Cost of 1 movie = $20

Cost of 1 video game = $50

In order to use the gift card, Lane must purchase at  least seven items

A) 01 movie and 6 video games

Cost of 1 movie = $20

Cost of 6 video game = [tex]50 \times 6 = 300[/tex]

Total cost = 300+20 = 320

Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card

B) 2 movies and 4 video games

We are given that she must purchase at  least seven items

So, She could not buy 2 movies and 4 video games

C)6 movies and 5 video games

Cost of 6 movie = [tex]20 \times 6 =120[/tex]

Cost of 5 video game = [tex]50 \times 5= 250[/tex]

Total cost = 250+120=370

Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card

D) 8 movies and 1 video game

Cost of 8 movie = [tex]20 \times 8 =160[/tex]

Cost of 1 video game = 50

Total cost = 160+50=210

So, she could purchase 8 movies and 1 video game

HELP PLEASE HELP !!!!!!!The net of a triangular prism is shown. Use the ruler provided to measure the
dimensions of the net to the nearest half centimeter.
Which measurement is closest to the total surface area of the triangular prism in
square centimeters?

Answers

Answer:

B

Step-by-step explanation:

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

What is a triangular prism?

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangular surface.

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique.

A prism with the cross-section of a triangle.

The total surface area of the triangular prism will be :-

3(rectangles area) + 2(area of the triangle)

The area of the triangle will be :-

1/2 x base x height

= 4 units²

The area of the rectangle will be :-

length x width

= 2 x 1 = 2 units²

Then the total area will be :-

3(2) + 2(4) = 6+8 = 14 units²

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

More about the triangular prism link is given below.

brainly.com/question/2654102

#SPJ2

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
O "Look at the graph of the relationship Count the number of units up and the number of units to the right one must move to
arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."

Answers

Answer:

"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."

Step-by-step explanation:

When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.

Hope this helps!

HELP ME PLZ!!!
In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation.

Answers

Answer:

Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....

Step-by-step explanation: yeah

Answer:

i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.

Step-by-step explanation:

volume = 1

0.5 +0.5 = 1

volume 2

1+1 = 2

you just need to use the word distribution and show like this

(V): amount  / 2 =  new amount (adding cm^3)

To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.

(V): L x Wx H =

You then multiply the amount of books if you was not given the measure of the bookcase shelf.

IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.

H/2 =   first and enter below the new height.

(V): L xWx H  = this is the whole shelf

(V) =     / 2   you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1  by (/2)  

Use the found answer

LAbel

MAth text books (V) =

Bounty paper towells (V) =

Then see how many cubic sheets fit.

ie) if they measure 30cm x 1cm x 30xm

and the shelf measures 30cm x 60 x 60

you can count up from the second values as the first values fit the length

The width = 1 x 60 - 60 books.  (example 1cm Width thickness)

Then see the height does not change to the height of the books.

IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height

then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%

To calculate percentage decrease: see above

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.

You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% =  amount x 0.50 = 1/2 new amount.

can anyone help? this question is based on using soh cah toa trig

Answers

Answer:

9.696

Step-by-step explanation:

Answer:

x = 9.7 feet

Step-by-step explanation:

Use tan to find the value of x

tan 22 = [tex]\frac{x}{24}[/tex]       Simplify

0.404 = [tex]\frac{x}{24}[/tex]       Multiply both sides by 24

x = 9.696        Round this answer to the nearest tenth of a foot

x = 9.7 feet

please answer this questions

Answers

Answer:

Step-by-step explanation: since ab||ef, line cd is a transversal

x+35°=85° (alternate interior angles)

x=85-35

x= 50°

taking bd as a transversal

y= 35° (alternate interior angles)

taking bz as a transversal

y+z+40°= 180° (interior angles on the same side of the transversal)

z+35°+40°= 180°

z+75°= 180°

z= 180-75

z= 105°

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:

x = 50 degree found by working out c and d

y = 35 degree

z = 105 degree

Step-by-step explanation:

c is solved 180-85 = 95 as all straight lines equal (180)

d is solved 85-35 = 50 as it is alternate of c (85)

x is found  85 - 35 = 50 degree as it is part of d and not supplementary

y is found  180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.

z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle

Please help i am being timed. For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?

Answers

Answer:

40 adults and 140 kids

Step-by-step explanation:

40 adults

pairs of adults= 20

20 x 7kids= 140 kids

40 adults plus 140 kids = 180 total

Answer:

40 adults and 140 kids

Step-by-step explanation:

for every 9 people there are 2 adults and 7 kids

so if there are 180 people in total we would

180 / 9

180 / 9 = 20

so there are 20 groups of 2 adults and 7 kids

40 adults and 140 kids

Write the quadratic expression -16t2 − 8t + 24 in factored form.

Answers

Hope this helps! : )

Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7

Answers

Answer: the answer is c. 3

Step-by-step explanation:

Subtract 4x from 7x

3x-2=7

Then add 2 to 7

3x=9

Then divide 3 by 3x and 9 by 3

X=3

c. The value of x is 3

What is line segment ?

A line segment is a part of straight line measured between two points.

A line segment always have a definite length.

What is the value of x ?

Given, a line segment contains points A, B, C in order.

Also the point B is the middle point of AC.

Hence, we can say that, AB = BC  ......(1)

Here, AB = 7x-2 & BC = 4x+7

Therefore, from (1) we get,

7x-2 = 4x+7

⇒ 7x-4x = 7+2

⇒ 3x = 9

⇒ x = 3

The value of x = 3

Learn more about Line segment here :

https://brainly.com/question/280216

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Give the domain and range.

Answers

Answer:

D

Step-by-step explanation:

The domain is the x coordinates which are {-2,0,2}

Answer:

D = { -2, 0 2}

R = { -3,-1 ,1 }

Step-by-step explanation:

The domain is the input or x values

D = { -2, 0 2}

The range is the output or y values

R = { -3,-1 ,1 }

PLEASE I NEED A LOT OF HELP

Answers

Answer:

x = 45°

Step-by-step explanation:

Look at the picture*

How do you convert a fraction to a decimal 1/6

Answers

Answer:

0.166666667

Step-by-step explanation:

to convert a fraction to a decimal, you divide the numerator (1) by the denominator (6)

Please help me with this I will really appreciate it thank you! It’s geometry

Answers

Answer:

150 degrees

Step-by-step explanation:

90+30=120.

Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.

Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, she can use the equation:

Answers

Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle

A right triangle has a base equal to 13 inches and a height equal to 18 inches. Find the area of the triangle. Type a
numerical answer in the space provided. Do not include units or spaces in your answers,

Answers

Answer:

117

Step-by-step explanation:

area of a triangle= 1/2 bxh

13x18=234

divide by 2=117

Answer:

117 is the Answer

Step-by-step explanation: hope this helps!

The table of values represents the function g(x) and the graph shows the function f(x).

Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.

Answers

Answer:

2 and 3 are true

Step-by-step explanation:

1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.

2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.

3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.

4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.

Hope this helps!

Answer:

B and C

Step-by-step explanation:

The first two terms of a geometric sequence are a1 = 1 and a2 = 3. Find a4, the fourth term of the sequence. Question 1 options: A) 81 B) 27 C) 243 D) 9

Answers

Answer:

B)

Step-by-step explanation:

Common ratio = a2/a1 = 3/1 = 3

[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]

HELP ASAP!

A health insurance provider had net incomes of $356 million, $460 million and -$166 million in 3 consecutive years. What was the health provider's total net income for these three years?

Answers

Step-by-step explanation:

The total income would be $650 million.

An architecture firm makes a blueprint
for a building with scale 1 in. = 8 ft. If
the building's length is 82 feet, what is
the length of the blueprint?

Answers

Answer:10.25

Step-by-step explanation:

Please help me i dont understand this is 15 points

Answers

Answer:

2. y =13x + 143

Step-by-step explanation:

plug in numbers in your calculator; go to stat → edit,then again to stat → calculate →linear reg→ enter and get a and b, round the numbers

a = 13 , b = 143

Help ASAP will give brainliest!!!!!

Answers

Answer:

A is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. of classmates who like salsa music = (56÷100)×75 = 42

No. of relatives who like salsa music = (80÷100)×60 =48

How many more relatives like salsa as compared to classmates = 48-42= 6

There are 15 boys and 16 girls in Gabriel’s class. One person is chosenat random. What is the probability that the person chosen to hand out books is a girl?

Answers

Answer:

16/31 or ≈ 52%

Step-by-step explanation:

1. Find the total students in the class.

  15 + 16 = 31

2. Make a fraction (girl/total students)

  16/31

Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.

What object is defined using a directrix and a focus

A. Perpendicular Bisector

B. Parabola

C. Circle

D. Angle Bisector

Answers

Answer: B

Step-by-step explanation:

A parabola is defined using both a directrix and a focus.

To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”

Hope this helps! :)

The answer is b!
Because
It’s easy mate c’mon

PLEASE ANSWER THIS, ITS DUE TODAY!! *100 POINTS*

Answers

The answer is choice b:Spread

Answer:

B. Spread

Step-by-step explanation:

What is the volume of a triangular prism 5m 13m 6m

Answers

Answer: 195

Step-by-step explanation: 5*13*6=390

390/2=195

Answer:

195

Step-by-step explanation:

3/4 of a number is 5/8. Find the number.

Answers

Answer:

N = 5/6

Step-by-step explanation:

of means multiply and is means equals

3/4 * N = 5/8

Multiply each side by 4/3

4/3 * 3/4 N = 5/8 *4/3

N = 20/24

Simplifying

N = 5/6

The answer is 5/6.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

WILL GIVE BRAINLIEST!! TONS OF POINTS!!
Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the construction?

Use complete sentences to describe the transformations present in your construction.
** this should be a well thought out, descriptive, and accurate response.

Answers

Answer:

Step-by-step explanation:

In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.

Hope this helps

pls help me I need it I will give u 100 points and mark u brainliest pls help me. I need 3 answers 3,4,5

Answers

Answer:

Question 3. Option B,

Question 4. Option D,

Question 5. Option B

Step-by-step explanation:

Question 3.

If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;

[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]

As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B

Question 4.

The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;

[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]

Question 5.

If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B

Answer:

Question 3: 6c

Question 4:  4 to 5, 4:5, 4/5

Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.

The question is: How much of the total distance he biked?

[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]

Question 5: 3 oranges and 15 apples

[tex]$\frac{1}{6} $[/tex]  of the fruits are oranges.

It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.

If you take the options, only the first one is correct.

Other Questions
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They think footballis popular and should continue to be played I don'tthink children in middle school should be given the choiceabout possibly harming their health I've watched a lot of football with my dad and brother,and I understand why people like football, as it can bereally exingI've always thought football was a silly sport, with theplayers trying to knock each other down all the time.O I understand that people love football, just as they lovebaseball and all other ball sports, but not everyone lovesfootballO I respect that people love football, but doctors aresaying now that many players get head injuries, and thehelmets don't help prevent those very well.to searchR Plaskett's binary system consists of two stars that revolve In a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal . Assume the orbital speed of each star is |v | = 240 km/s and the orbital period of each is 12.5 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 times 1030 kg Your answer cannot be understood or graded. Could someone please help me with the steps for this problem? Factor by grouping: w+3w+w+3 D. Answer the following questions in one word or a single sentence.1. The metal foil used for wrapping food is made up of which metal2. Which metal is used in thermometers?3. Which non-metal is essential for breathing?4. What is the alloy of iron, nickel and chromium known as?5. Name the gas released when metals react with acids. Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?Answer the questions to solve this problem using a system of equations.1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.Write your answer in the space below.2. Write an equation to represent the number of pages Jesse has read.Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.Write your answer in the space below.3. Write the system of equations using your answers from questions 1 and 2.Write your answer in the space below.4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.Write your answer in the space below.5. Solve the system of equations. Show your work.Write your answer in the space below.6. Interpret your solution. 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