If a change dispenser contains 32 coins consisting of
only dimes and quarters worth $5.15, how many
dimes are in the dispenser?

Answers

Answer 1
Answer:  19 dimes

=================================================

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

-------------------------------

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.


Related Questions

odd numbers are closed under addition?


true or false​

Answers

Answer:

true

Step-by-step explanation:

i think it's helping you... please reply me correct or no


You drive 132 miles in 3 hours. At
that speed, how many hours would it take you to drive 110 miles?

Answers

Answer and Step-by-step explanation:

To solve, we need to find how many miles are driven in an hour.

Divide 132 by 3.

132/3 = 44

Now, we need to find how many hours it would take to drive 110 miles.

[tex]\frac{44 miles}{1 hour} = \frac{110 miles}{? hours} \\\\[/tex]

Cross multiply.

[tex]44(?) = 110[/tex]

Divide by 44.

[tex]? hours = 2.5 hours[/tex]

So, it would take 2.5 hours to drive 110 miles.

#teamtrees #PAW (Plant And Water)

I hope this helps!

A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?

Answers

Answer:

salt: pepper

4 :   3

Step-by-step explanation:

salt: pepper

2/3  : 1/2

Multiply each by 6

2/3 *6 : 1/2 *6

4 :   3

Where do I get the second number from? I’m confused lol

Answers

Answer:

(1, 0)

Step-by-step explanation:

You have to follow the horizontal line when the coordinate x=1, until the y-axis, so you'll realize that y=0

Answer:

2/2,0/2 = (1,0)

Step-by-step explanation:

(3,1)(-1,-1)

midpoint (x1+x2)/2,(y1+y2)/2

which phrase best describes the relationship indicated by the scatterplot? A. Constant correlation B. negative correlation C. positive correlation D. no correlation

Answers

Answer:

No Correlation

Step-by-step explanation

Simply because they are all spread out and you cant make a accurate line out of the points.

Lines EG and FH are parallel. a. Name all the angles congruent to angle ABE. 7.1 D G b. Wnte an equation that represents the relationship between angle FCD and angle HCD.

Answer a here (separate answers with a comma): *
Answer b here: *​

Answers

Answer:

a. GBC, FCB, DCH

b. FCD+HCD=180

Step-by-step explanation:

A

by vertical angles ABE=GBCby corresponding angles ABE=FCBby alternate exterior angles ABE=DCH

B

FCD and HCD form a straight line which is equal to 180

The angles that are congruent to ABE are BCF, DCH, and CBG

Angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

An angle is a point where two lines meet or intersect.

The angles that are congruent to ABE are BCF, DCH, and CBG

ABE = BCE (corresponding angle)

Since BCE = DCH (vertically opposite angles), hence:

ABE = DCH (vertically opposite angles)

Also, we can see that DCH = CBG (corresponding angles), hence:

ABE = CBG (corresponding angle)

b) From the given diagram, we can see that angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:

<FCD + <HCD = 180

Learn mre here: https://brainly.com/question/14941189

find the volume of each figure. Round to the nearest tenth if necessary.​

Answers

Answer:

1385.4

Step-by-step explanation:

Volume=pi*r^2*h=pi*49*9=1385.4

3y-4(5x-3y+y²) expand and simplify​

Answers

There is answer good luck in your homework

Answer:

23x + 12y + -4xy^2

Step-by-step explanation:

So lets first expand

3y (-4 x(5x - 3y + y^2)

let's ignore 3y for now

Since 5x - 3y + y^2 can't be simplified, we move on to multiplying each number.

note: Capital X = Multiplying symbol

___________________________________

-4 X 5x, -4 X - 3y, -4 X y^2

= -20x + 12y + -4xy^2

now we bring back the 3x

3x - -20x + 12y + -4xy^2

so now we simplify, by finding like terms

= 23x + 12y + -4xy^2

I need help ASAP!!Please explain your answer

Answers

Answer:

240 ft^2

Step-by-step explanation:

The rectangular prism has 6 faces. Each two opposite faces have the same area. We need to find the areas of 3 faces that are not opposite faces, add them, and then multiply by two.

Top face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Right face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Front face:

6 ft by 6 ft

area = LW = 6 ft * 6 ft = 36 ft^2

Sum of areas of 3 faces:

42 ft^2 + 42 ft^2 + 36 ft^2 = 120 ft^2

Now we double the area to account for the 3 faces that are opposite each one of the three faces whose areas we calculated.

2 * 120 ft^2 = 240 ft^2

Answer: 240 ft^2

HELP....PLEASE,USE GEOMETRY!

Answers

Answer:

18[tex]\pi[/tex]

Step-by-step explanation:

area of the "left most" side disk would be [tex]\pi r^{2}[/tex] = 9[tex]\pi[/tex]

the height of the disk is = 2

thus the area would be 18[tex]\pi[/tex] units cubed

Answer:

56.55 units

Step-by-step explanation:

If we rotates this rectangle we will get a cylinder.

The base of this cylinder is a circle with a radius of 3 units (the high of the rectangle).

And the high of this cylinder is 2 units.

Volume of cylinder is given by the formula :

V= h.pi.r²

so V= 2×3.14×9

= 56.55 units

The mason will build a wall that uses 36 bricks in each row. The wall will be 140 rows high. Each brick weighs 4 pounds. What is the total weight of all the bricks?

Answers

Answer:

20,160 pounds

Step-by-step explanation:

bricks in each row * number of rows * pound of each brick

Answer:

20160 lbs

Step-by-step explanation:

To find the amount of bricks, multiply 36 by 140 which equals 5040. Then, multiply 5040 by the weight: 4. 5040×4=20160

The sum and product of two numbers x and y are 3 and 1.25 respectively. Form two
equations involving x and y and solve them to obtain the possible values of x and of y.


Please solve thissss pleaseee I have test tomorrow

Answers

Answer:

X+Y=3........(1)

X×Y=1.25........(2)

i) In (1):X+Y=3

X=3-Y.......(3)

ii)Subt (3) in (2)

XY=1.25

(3-Y)Y=1.25

3Y -Y²=1.25

0=Y²-3Y+1.25

[tex] \frac{ - ( - 3) + \sqrt{( - 3) { }^{2} - 4(1)(1.25) } }{2(1)} [/tex]

Y=2.5 OR Y=0.5(when you substitute a minus -)

iii)Substitute the Y values in (3)

The cone in the figure below has a volume of 722 cubic centimeters and a height of 6
centimeters. What is the radius of the base of the cone, in centimeters?

Answers

Answer:

r = 10.72 cm

Step-by-step explanation:

h = 6 cm

Volume of cone = 722 cubic cm

[tex]\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72[/tex]

Find the commission on a sale of $600 with a 5% commission rate.

Answers

Answer: $30

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

10% of 600 = 60

5% of 600 = 30

Please help could you explain or show work so I will remember how to do problems like this?

Problem: 4x - (x - 4) = - 20

I desperately need a good grade because this is my first grade.

Correct answer is brainiest!

Answers

Answer:

x = -8

Step-by-step explanation:

4x - (x - 4) = - 20

Distribute the minus sign

4x - x +4 = -20

Combine like terms

3x+4 = -20

Subtract 4 from each side

3x+4-4 = -20-4

3x = -24

Divide by 3

3x/3 = -24/3

x = -8

Answer:

x = -8

Step-by-step explanation:

4x - (x - 4) = -20

~Simplify

4x - x + 4

~Subtract 4 to both sides

3x = -24

~Divide 3 to both sides

x = -8

Best of Luck!

Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say?​

Answers

Answer:

12

Step-by-step explanation:

The first number they will both say = L.C.M of (6,4)

=> L.C.M of (6,4) is 12

The first number they will both say is 12

C. Write an equation for the situation.

2. The equation y = 7x gives the cost y of x pounds of chicken at the grocery store. Complete the table for the given weights of chicken ​

Answers

Equation representing the relation between the cost and the weight of the chicken has been given as,

y = 7x

Here, y = cost of the chicken

x = weight of the chicken

By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).

For x = 1,

y = 7×1

y = 7

For x = 2,

y = 7×2

y = 14

For x = 3,

y = 7×3

y = 21

For x = 8,

y = 7×8

y = 56

       Therefore, the complete table will be,

Weight (lb),x      1            2             3              8

Cost ($),y          7           14            21            56

Learn more about the proportional relation,

https://brainly.com/question/11903729

HELP ASAP KHAN NEED HELP NOW ITS KHAN

Answers

Answer:

[tex]{ \bf{ \green{line \: B}}}[/tex]

It's a direct proportionality

what is the equation of the graph ?

Answers

Answer:

what graph

Step-by-step explanation:

A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.

Answers

Answer:

??????????????????????????????

find the area and perimeter of the figure and show work question 30

Answers

Answer:

Perimeter = 24 cm

Area = 27.6 cm²

Step-by-step explanation:

Perimeter = 8 + 8 + 8 = 24 cm

A(Triangle) = 1/2(8)(6.9) = 27.6 cm²

Y'ALL PLEASE HELP ME I WOULD GREATLY APPRECIATE IT!!!!!:)!!!!!!

Find the measure of angle TOS in the figure below. SHOW YOUR WORK SO I CAN SEE HOW YoU GOT IT!!!!

Answers

Step-by-step explanation:

<TOS=122° [being vertically opposite angle]

Answer:

angleTOS =122°

EXPLANATION:

[ If two straight lines intersect at point O, vertically opposite angles are equal]As vertically opposite angles are equal; Hence AngleTOS=QOR=122°

A length on a map is 7.5 inches. The scale is 1inch & 5 miles. What is the actual distance?

Answers

Answer: Actual distance = 37.5 miles

Step-by-step explanation:

Let x be the actual distance

Given information

Length on map = 7.5 inches

Scale = 1 inch : 5 miles

Set up proportion

[tex]\frac{7.5}{x} =\frac{1}{5}[/tex]

Cross multiply to convert out of fraction form

[tex]7.5*5=1*x[/tex]

[tex]\boxed{x=37.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10

Answers

Answer:

8 sqrt(10)

Step-by-step explanation:

2 sqrt(8) * sqrt(20)

We know sqrt(a) * sqrt(b) = sqrt(ab)

2 sqrt(8) * sqrt(20)

2 sqrt(160)

2 sqrt(16*10)

2 sqrt(16) sqrt(10)

2 *4 sqrt(10)

8 sqrt(10)

Answer:

First, we can write 2√8 as 2 x √8. This will make the next calculations easier.

So the problem becomes 2 x √8 x √20.  

We can group together √8 and √20, to get √160.

And we have: 2√160.

However, this can be simplified further, as 16x10 = 160, and so we obtain the  final answer of 8√10.

C is correct.

If LM = x + 3, MN = 2x and LN = 24, what does x equal

Answers

Answer:

[tex]\displaystyle 7 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle 24 = [3 + x] + 2x → 24 = 3 + 3x → \frac{21}{3} = \frac{3x}{3} \\ \\ 7 = x[/tex]

I am joyous to assist you at any time.

To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students, three samples with 25 students, in each group, were randomly selected from data used by Raferty and Hout (1985). One group of students attended secondary school, the second group of students attended vocational school, and the third group consisted of students who attended only primary school. Raftery, A.E. and Hout, M. (1985). Does Irish education approach the meritocratic ideal? A logistic analysis. Economic and Social Review, 16, 115-140. The following hypotheses were tested: H0: μ1 = μ2 = μ3 Ha: μ1, μ2, μ3, are not all equal The analysis was run on the data and the following output was obtained: Which of the following is an appropriate conclusion based on the output? Group of answer choices

Answers

Answer:

The answer is C

Step-by-step explanation:

Which of the following sentences is not true?

Smaller numbers are farther left on the number line.
All negative numbers are less than zero.
A negative number with a larger numeral is a larger number.
The symbol > means "greater than."

Answers

Answer:

3rd answer

Step-by-step explanation:

all negative number with a larger numeral is a larger number

how many solutions are there to the equation below

7(x+2)=7x-10

Answers

Answer:

No solution

Step-by-step explanation:

[tex]7(x+2)=7x-14\\7x-14-7x+10=0\\-4=0\\[/tex]

it is not possible -4=0

S0 there is no solution in equation.

Answer:

No solutions

Step-by-step explanation:

Simplify the given equation:

[tex]7(x+2)=7x-10[/tex]

Distribute, multiply every term inside of the parenthesis by the term outside of it.

[tex]7(x+2)=7x-10[/tex]

[tex]7(x)+7(2)=7x-10[/tex]

Simplify,

[tex]7x+14=7x-10[/tex]

Inverse operations,

[tex]7x+14=7x-10[/tex]

[tex]7x+(-7x)+14=7x+(-7x)-10[/tex]

Simplify,

[tex]7x+(-7x)+14=7x+(-7x)-10[/tex]

[tex]7x-7x+14=7x-7x-10[/tex]

[tex]14=-10[/tex]

This equation simplifies down to an untrue equation, therefore, there are no solutions to this equation.

at old oak farm, there are chicken and horses. there are 120 legs and 48 heads altogether. how many horses and how many chickens are there?

Answers

Answer:

Step-by-step explanation:

We must use system of equations:

horses = h     chickens = c

horses have 4 legs & chickens have 2 and there are 120 legs total so to set up the first part of the equation...

4h + 2c = 120

They both have only 1 head each and there are 48 heads total so to set up the second part of the equation...

h + c = 48

Now we combine the equations and solve:

4h + 2c = 120

h + c = 48

Now we solve...

4h + 2c = 120

h = 48 - c         (subtract c on both sides to single out h)

--------------------

4(48 - c) + 2c = 120

192 - 4c + 2c = 120

-192                  -192

----------------------------

-2c = -72           (divide both sides by -2)

c = 36

Now we go back and find the value of h...

h = 48 - c

h = 48 - 36

h = 12

So there are 36 chickens & 12 horses!

round to the nearest place value shown​

Answers

87.3, 213.43, 672, 5980, 12800
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