A bag contains 55 coins of $1 and ¢50 denominations. Find the number of coins of each denomination, if the total amount in the bag is $40.

Answers

Answer 1

Answer:

Number of $1 coins are 25 and number of 50 cent coins are 30.

Step-by-step explanation:

Let's set up the equations.

Let there are x number of $1 coins

There are y number of 50 cent coins

So, x+y =55

1 x+0.50 y =40

Solve the equations for x and y.

Solve the first equation for y.

y=55-x

Substitute y as 55-x into the second equation.

1 x+0.50(55-x)=40

Solve the equation for 'x'.

Distribute the 0.50 to get rid the ( ).

1 x+27.5-0.50 x= 40

Combine like terms

0.50 x +27.5=40

Subtract both sides 27.5

0.50 x =12.5

Divide both sides by 0.50

x=25

Now, plug in x as 25

y=55-25

y=30

So, number of $1 coins are 25 and number of 50 cent coins are 30.


Related Questions

You have a rectangular box with the dimensions of 4 feet x 2
feet x 1 foot. You have to get it painted red. The painting will cost
$2.50 per square foot. How much will it cost you?

Answers

Answer:120

Step-by-step explanation:

4x2x1=8, 6 sides with 2.50

A 7-meter by 7-meter square is reduced so that each side is half as long as the original.

a. Describe the new square. (Side length)

b. Write the ratio of the perimeters in the order New:Original.

c. Write the ratio of the areas in the order New:Original.

Answers

Answer:

Step-by-step explanation:

7m ÷ 2 = 3.5mPart A: New square is 3.5-meter by 3.5-meterThe original square's perimeter is 7x4=28-meter.The new square's perimeter is 3.5x4=12-meterPart B: The ratio is 12:28 or 3:7The original square's area is 7²=49 meter²The new square's area is 3.5²=12.25 meter²Part C: The ratio is 49:12.25

How do I sort them because it doesn’t quite make sense to me

Answers

Answer:

can't see image

Step-by-step explanation:

Higher internet rate on- initial consequences
Other 2 go to long term consequences

pls help 209572.999129 round to the nearest cent

Answers

Answer:

$209,573.00

Step-by-step explanation:

when rounding to a place, you only need to look at the numbers one place beyond the place you are rounding to. For example, if you want to round 0.878 to the nearest tenth, you only need to look at 0.87, since both 0.87 and 0.878 round to 0.9. In this case, you are rounding to the nearest hundredth because one cent represents one hundredth of a dollar. You only need to look at 209572.999. Since the last digit is 9, which is greater than 5, you round up to 209573.00.

hope this helps please lmk if its wrong :)

can someone help me. its hard

Answers

Answer:

complementary angles

Step-by-step explanation:

We know that complementary angles add up to 90 degrees which is andgles a and b.

By the way, can you follow me on Brainly?

Thanks!

Answer:

B. Complementary angles

Step-by-step explanation:

angle a + angle b = 90 degrees

the two angles form a right angle

two angles that add up to 90 degrees are called complementary angles

If 192 out of 600 students at a school bought their lunch, what is the percentage of students that bought their lunch?

Answers

Answer:

32%

Step-by-step explanation:

Which equation represents a line which is parallel to the line x+4y=-20x+4y=−20?

Answers

Answer:

y=7x+3, y=7x−6

A coach of a baseball team orders hats for the players on his team. Each hat costs .The shipping charge for the entire order is . There is no tax on the order. The total cost of the coach’s order is less than . Which inequality can be used to determine the greatest number of hats, , the coach orders?

Answers

Answer:

9.95h + 5 < 125

Step-by-step explanation:

You left out the numbers to solve the question, but I've already encountered this question before, so yeah.

Karla made a model of her grandfather's fishing boat using a scale where 2 inches represents 3 feet. Her grandfather's actual boat is 28 feet long. What is the length of Karla's model boat?​

Answers

the answer is 3 1\9. thats the lentgh of the boat

3 1/9 this could be done on a calculator

Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher rate to walk their pets than what is shown in the table?

Answers

Answer:

The answer would be 7.5

Step-by-step explanation:

This is due to if there were to be a chart it would start at 15 then continue by 7.5 which would then lead to 1 hour which is 22.5 min additionally other people are not answering this because you did not give all the information such as the chart etc and the answers unlike me i have the toolds and the questions.

The equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

As per the table:

When the hours are 0 earnings are $15

Initial fee = $15

And when hours are 1 earnings is 22.5

∴ $22.5 = initial fee + hourly rate

Hourly rate to walk their pets = 22.5 - 15 = $7.5

So from the equation:

y = 7.25x + 20

Here 7.25 is the hourly rate to walk their pets and 20 represents the initial cost.

After observing all the equations:

In the equations:

y = 8x + 10

The hourly rate to walk their pets is 8 and the initial cost is $10 in this case Kit is charged a higher hourly rate.

Thus, the equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.

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Marcus got a ratio of correctly answered questions to total questions of 9 : 12 on his past
quiz. What percent of the quiz did Marcus answer incorrectly?
I NEED HELP QUICKK

Answers

Answer:

The correct answer is 30%

PLEASE HELP ME 20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

by using formula (a+b)^2=a^2+2ab+b^2

in these two we have to just open the formula

(3x+2y)^2

=(3x)^2+2(3x)(2y)+(2y)^2

=9x^2+12xy+4y^2

(3y+2x)^2

=(3y)^2+2(3y)(2x)+(2x)^2

=9y^2+12xy+4x^2

The radius of a circle is 1 yard. What is the circle's circumference?
r=1 yd
Use 3.14 for ​.

Answers

Circumstance is 2 x Pi x r

2 x 3.14 x 1
Circumstance = 6.28 yd

The circumference of the circle is 6.28 yards.

What is circumference of the circle?

"It  is the length of the boundary of the circle."

Formula to calculate the circumference of the circle:

C = 2 × π × r, where 'r' is the radius of the circle.

For given example,

r = 1 yd.

π = 3.14

Using the formula for the circumference of circle,

⇒ C = 2 × π × r

⇒ C = 2 × 3.14 × 1

C = 6.28 yd.

Therefore, the circumference of the circle is 6.28 yards.

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Solve for the missing value.
58

Answers

i think it is 58 degrees

Which of the following topics would you discuss first in a speech on applications of math in the everyday world?

geometry
calculus
basic operations
algebra

Answers

Answer:

basic operations

Step-by-step explanation:

QUIZ 3: ORGANIZING SPEECHES

What is the formula to find the IQR or at least how do you calculate it from a boxplot?

Answers

Answer:

The IQR is the difference between quartile 3 and 1

Step-by-step explanation:

Answer:

IQR = Q3 - Q1

What is this pls? i have no time

Answers

Answer:

number lines of x>4 and x<-1 respectively

Step-by-step explanation:

The door has marbles in it 3/10 of the marbles are red 5/10 of the marbles are blue two tenths of the marbles are green which of these fractions is equivalent to 4/8

Answers

Answer:

5/10

Step-by-step explanation:

4/8 =1/2

5/10=1/2 so that it

What is the slope of the linear equation: y=-5x+6

Answer Choices:
A. -5
B. -5x
C. 1/5
D. 6

Answers

it is -5.............

240 t-shirts made in 9 hours. Round to the nearest tenth.

Answers

Answer:

240/9=26.6666666667

Rounded:

26.7

Brainlist Pls!

Which statement accurately describes the scatterplot?
У
:.
.
A. There are two outliers.
B. There are three distinct clusters.
C. The points seem to be clustered around a line.
D. There are no outliers. .

Answers

C. Hope it helps
#CarryOnLearning

The correct statement accurately describes the scatterplot is,

⇒ The points seem to be clustered around a line.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A scatterplot is shown in figure.

Now, By given figure, We get;

When we draw the line of equation,

⇒ The points seem to be clustered around a line.

Hence, The correct statement accurately describes the scatterplot is,

⇒ The points seem to be clustered around a line.

Learn more about the equation of line visit:

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what is your dream job?

Answers

My dream job is to be a pro football player for the NFL.

Answer:

a Nurse

Step-by-step explanation:

A city is interested in building a parking garage in a certain area. Three hundred randomly selected residents from this area were asked, "Do you support the city's decision to build a parking garage in your area?" Of the 300 residents interviewed, 203 said no, 7 said yes, and 90 had no opinion. A large-sample z-confidence interval, p ± z * square root of p hat times 1 minus p hat over n, was constructed from these data to estimate the proportion of the residents who support building a parking garage in a certain area. Which of the following statements is correct for this confidence interval?
This confidence interval is valid because a sample size of more than 30 was used.
This confidence interval is not valid because the quantity np is too small.
This confidence interval is valid because each area resident was asked the same question.
The confidence interval is valid because no conditions are required for constructing a large-sample confidence interval for a proportion.
This confidence interval is not valid because "no opinion" was included as a response category for the question.

Answers

Answer:

This confidence interval is not valid because the quantity np is too small.

Step-by-step explanation:

300(7/300)= 7<10

The measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.

What is a rectangle?

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

Here, we have,

to determine the dimensions

From the information given, we have the following proofs;

Width, w = x+15

Length, l = 2(x+15) - 49

Length, l = 2x + 30 - 49

Length = 2x - 19

The formula for perimeter of a rectangle is given as;

Perimeter = 2( length + width)

Substitute the expressions into the formula

Perimeter =  2 ( x+ 15 + 2x - 19 )

Perimeter = 2 (3x - 4)

Perimeter = 6x - 8

We have that the area is  162 more than 27 times the perimeter, which is Area = 27 (perimeter )+ 163

Area = 27(6x-8) + 162

Expand the bracket

Area= 162x - 216 + 162

Area = 162x - 54

But we know that

Area = length × width

Substitute the expressions

Area = (x+15)(2x-19)

Area =  2x² - 19x +30x - 285

Area = 2x² + 11x - 285

Equate the two formulas for area

162x - 54 = 2x² +11x - 285

Collect like terms

2x² + 11x - 285 - 162x + 54 = 0

2x²  - 151x - 231 = 0

Solve the quadratic equation

(2x + 3)(x-77) = 0

Let's solve for x

x - 77 = 0

x = 77

The expression for the width;

Width = x+15

Width = 77 + 15

Width = 92 feet

The expression for the length

Length = 2(x+15) - 49

Length = 2 ( 77 + 15) - 49

Length = 154 + 30 - 49

Length = 184 - 49

Length = 135 feet

Thus, the measure of the length and width of the rectangle is given as 135 feet and 92 feet respectively.

Learn more about a rectangle here:

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Help!! Il give thanks

Answers

Answer:80

Step-by-step explanation:

All angles in a triangle add up to 180.

70+30= 100

180-100= 80

There you have it

What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/2)

Answers

Answer:

B. [tex] (2, -\frac{5}{2}) [/tex]

Step-by-step explanation:

Given:

(2, 4) and (2, -9)

Required:

Midpoint of the vertical line with the above endpoints

Solution:

Apply the midpoint formula, which is:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Where,

(2, 4) = (x_1, y_1)

(2, -9) = (x_2, y_2)

Plug in the values into the equation:

[tex] M(\frac{2 + 2}{2}, \frac{4 + (-9)}{2}) [/tex]

[tex] M(\frac{4}{2}, \frac{-5}{2}) [/tex]

[tex] M(2, -\frac{5}{2}) [/tex]

Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than he reads on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?

Answers

Answer:

.

Step-by-step explanation:

Rafa went to Lone Star Auto who charges $35 for each car plus $7 per hour. If Rafa's bill was $63, how many hours did he get his car worked on?

Answers

Answer: 4 hours

Step-by-step explanation:

Given

Auto charge a fixed amount of $35

and $7 per hour

Rafa bill was $63

Suppose Rafa travels for x hours. So, we can write

[tex]\Rightarrow 63=35+7x\\\Rightarrow 28=7x\\\Rightarrow x=4\ \text{hour}[/tex]

What is the Y-intercept of the simplified equation??

Answers

Answer: -7

Step-by-step explanation: y+3x=8x-7

subtract 3x from both sides y=5x-7

y=Mx+b

b=-7

A circular rug has a diameter of 12 feet. Part A What is the circumference, In feet, of the rug rounded to the nearest hundredth? Use 3.14 for it.​

Answers

Answer:

C =37.68 ft

Step-by-step explanation:

Circumference is given by

C = pi * d  where d is the diameter

C = 3.14 * 12

C =37.68 ft

how do i get the answer and what is the answer? im looking for a right answer not just someone who types in the mayo mayo

Answers

Answer:

x = 51°

Step-by-step explanation:

The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:

180° - 94° = 86°

That angle is almost a right angle but not quite. Now, to find x, add up the two angles inside the triangle and subtract it from 180°:

43° + 86° = 129°

180° - 129° = 51°

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