A coin collection consists of dimes and nickels. If there are a total of 500 coins valued
at $39. how many dimes are there?

Answers

Answer 1

Answer:

There are 280 dimes

Step-by-step explanation:

A nickel is worth 5 cents while a dime is worth 10 cents

Let n be number of nickel

d the number of dimes

n + d = 39

Secondly

$39 is same as 3900 cents

So we have;

10d + 5n = 3900

From first equation;

n = 500-d

Put this in second equation;

10d + 5(500-d) = 3900

10d + 2500-5d = 3900

5d = 3900-2500

5d = 1400

d = 1400/5

d = 280


Related Questions

please help !!

find the slope of the line through each pair of points ( -5, 10) , (-16, 8)

Answers

Answer:

-2/11

Step-by-step explanation:

y2-y1/x2-x1

8-10 / -5 -(-16)

-2/-5 + 16

-2/11

(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.





Constant of Proportionality =

Answers

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

I need 2x+6 but when I solve it it’s wrong

Answers

Answer:

x=48

Step-by-step explanation:

2x+6=96

subtract 6 from both sides

2x=96

divide both sides by 2

x=48

xoxo, your highness...

Answer:

x = 88

Step-by-step explanation:

ASAP solve 21x+6=300 30 points

Answers

Answer:

x = 14

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.

HELP ASAP

Daniel works at a drive-thru restaurant. He has been keeping track of the number of vehicles that go through the drive-thru each hour in the table shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.

Table:

x f(x)

1 18

2 38

3 60

4 78

5 93

6 117

7 143



Which polynomial function best models the data?

A) f(x)=0.4048x^2+16.9762x+2.1429


B) f(x)=0.3611x^3−3.9286x^2+31.7817x−10.8571


C) f(x)=0.3611x^3−4.4048x^2+35.5913x−15.1429


D) f(x)=0.072x^4−0.7904x^3+2.2917x^2+18.8683x−2.7143

Answers

The answer is C of your equation

The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Daniel keeps track of the number of vehicles that go through the drive-thru each hour

Let the number of hours be x

Let the total number of vehicles that passes be y

Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }

The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }

Let the polynomial equation be represented as f ( x )

Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where

f ( x ) = 0.4048x² + 16.9762x + 2.1429

when x = 3

f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429

On simplifying , we get

f ( 1 ) = 3.6432 + 50.9286  + 2.1429

f ( 1 ) ≈ 60

Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429

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HELP PLEASE!!!
When a bush was first planted in a​ garden, it was 20cm tall. After two​ months, it was 700​% as tall as when it was first planted. Use mental math to find how tall the bush was after the two months.

Answers

140cm. I hope this is correct. Please mark brainilest if it is! Have a great day!

which expression represents 87 less than the product of 12 and 15​

Answers

Answer:

I think answer is 87<180 or maybe 87<12*15

Help I’ll give you 20 points!!!

Answers

Answer:

∠one  and ∠seven

Step-by-step explanation:

3 and 5- hope this helps

Students in Mr. Tallow's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?

Answers

Answer:

70

Step-by-step explanation:

280×25%=70 pages per night

Answer:

70

Step-by-step explanation:

A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dimensions of the carpet by solving the equation 2w+2(w+90)=244​, where w represents the carpet width.

Answers

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and making equation:

[tex]244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16[/tex]

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

1. 2x+5(6x-9)=179
2. -40=6x-5(-4x-18)
solve for X​

Answers

Answer:

1. x = 7

2. x = -5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0

Pull out like factors  6x - 9  =   3 • (2x - 3)

 (2x +  15 • (2x - 3)) -  179  = 0

Pull out like factors: 32x - 224  =   32 • (x - 7)

Solve: x-7 = 0

Add  7  to both sides of the equation  = 7

2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0

Pull out like factors: -4x - 18  =   -2 • (2x + 9)

 -40 -  (6x -  -10 • (2x + 9))  = 0

Pull out like factors:  -26x - 130  =   -26 • (x + 5)

-26 • (x + 5)  = 0

Solve: x+5 = 0

Subtract  5  from both sides of the equation: x = -5

Hope this helps! Please mark as brainliest.

Thanks!

what is 9 divided by 3 plus for times 6 plus 8

Answers

Answer: 50

Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50

Answer:

35

Step-by-step explanation:

9 ÷ 3 + 4 · 6 + 8

Do 9 ÷ 3 first

3

Plug this value back into the equation

3 + 4 · 6 + 8

Do 4 · 6 next

24

Plug this value back into the equation

3 + 24 + 8

Add 3 to 24

27

Plug this value back into the equation

27 + 8

Add

35

Hope this helps :)

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PLEASE HELP FAST
Evaluate the expression |-5| + |9+3|

Answers

Answer:

if you want to simplify it, it would be -5 + 12

but if you want to finish the problem then the answer would be positive 7 or just 7

Step-by-step explanation:

What’s the slope of the line that passes through (-9, -4) and (6, 15).

Answers

19/15, look at the attachment for work

7 students have 3 books each. Which helps you find the total
number of books?
A.
7-3
B.
7+3
C.
7 x3
D.
7 + 3

Answers

C you multiply because there are 7 students and they have 3 EACH so you multiply. C

During a​ sale, a dress is marked down from a selling price of ​$ to a sale price of ​$44.20 What is the percent​ markdown?68

Answers

Answer:

35% is the answer 68-35%=44.2

Step-by-step explanation:

Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells each taco for $4 and each burrito for $6.50. Jocelyn must sell at least $780 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

We know that:

Price of a taco = $4

Price of a burrito = $6.50

x = number of tacos sold

y = number of burritos sold.

We must have that:

x + y ≤ 150  (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)

And also we know that she must sell at least $780, then:

x*$4 + y*$6.50 ≥ $780

Now we found the system of inequalities:

x + y ≤ 150

x*$4 + y*$6.50 ≥ $780

To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.

To graph them may be easier to write them as lines, you can do it as follows:

y ≤ 150 - x

y ≥ ($780 - x*$4)/$6.50

in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.

You can see the image below.

Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)

Then looking at the image, we can see that one solution can be the point

x = 20, y = 120

The following table provides information about the median income in four states in

2016. Virginia had an index of 127.2 that year. What was the median income in Virginia?



NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

PLEASE SHOW STEP BY STEP EXPLANATION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$68,213

Step-by-step explanation:

The median is the middle value number.

So you need median for Virginia.

First lets see how index and income are connected.

To do this divide the income by the index to see if you have a constant value you can use.

535.434783 = Arkansas

535.381944 = Alabama

535.58 = Arizona

535.669236 = Alaska

535 is constant in all of these.

Let's multiply the index by 535.

127.2*535 =68212.5

For median income, you need a whole number so lets round up.

68213

So Virginia would have a median income rate of $68,213

If you have anymore questions, don't be afraid to reach out and I hope that helps!

Negative 1.5 (4 minus r) = negative 12

Answers

Answer:

r = - 4

Step-by-step explanation:

Given

- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )

4 - r = 8 ( subtract 4 from both sides )

- r = 4 ( multiply both sides by - 1 )

r = - 4

Answer:

12

Step-by-step explanation:

1.5(4-r) = -12

To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.

With the simplified expression, you can solve for r.

Subtract 6 from both sides then divide by -1.5.

-1.5r=-18

r=12

A ten pound bag of cherries cost $33.50. How much is one pound of cherries?

Answers

Each pound costs $3.35. Hope this helped
$33.50/10=3.35
so one pound of cherries is $3.35

someone please help! i need this answer!

Answers

Answer:

C

Step-by-step explanation:

Answer:

(b)

Step-by-step explanation:

is y=5 a linear function.

Answers

Answer:

No, y=5 is NOT a linear function.

Step-by-step explanation:

In order for a linear function to be true, it need to include a slope-intercept. For example, a commonly used equation, y = mx+b y = m x + b, is an example of a linear function, since it meets both the variables of m and b and criteria of x and y. In this case, when drawing out y=5 on a graph, marking it down reveals no slope.

I hope this helped to answer your question.

We now know that y = 5 is not a linear function as it cannot be written as y = MX + b.

What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The formula y = MX + b can be used to represent any linear function, where m denotes the slope and b is the y-intercept (slope-intercept form). The alternative formula for a linear function is y - y₀ = m(x - x₀), where m denotes the slope and (x₀, y₀) the line's origin (point-slope form).

As, in the description it is cleary said that linear functions can be represented in y = MX + b form, and y = 5 cannot be represented in the same form.

Therefore, y = 5 is not a linear function as it cannot be written as y = MX + b.

Know more about linear functions here:

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will mark brainliest. which is right? (a,b,c,d,e?)

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

If we're talking about fractions, the smaller numbers are larger, why? I have no idea, but 1/8 is half of 1/4 making 1/4 larger. Now give me that brainliest buster.

PLEASE HELP!!!!
Find the slope of a line that contains (18, -7) and (18, 2)

Answers

The slope is undefined the line is vertical which is a undefined slope
It is undefined. To find the slope you take rise over run. 2-(-7) which can be 2+7 which is 9 and 18-18 is 0 anything divided by 0 is 0.

Select yes or no to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph?

Answers

Answer: no no yes

Step-by-step explanation:

find the slope of Y(-5,0) Z(-2,-4)

Answers

Answer:

m=-4/3

Step-by-step explanation:

y2-y1

x2-x1

x1=−5 ,

y1=0,

x2=−2,

y2=−4.

m=(−4)−(0)(−2)−(−5) =−4/3=−4/3.

M= y2-y1 / x2 - x1
M= -4 - 0/ -2+5
M= -4 / 3

Find the solution of this system of equations
5x = -10 - 5y
5x + 10y = -25

Answers

Answer:

y=10

Step-by-step explanation:

At the State Park Zoo, there are 35 snakes in the reptile exhibit. There are 7 times as many snakes as iguanas in the reptile exhibit. How many iguanas are in the reptile exhibit?

Answers

Answer:

There are 245 Iguanas in the reptile exhibit

Step-by-step explanation:

There are  35 snakes in the reptile exhibit.

We are also given some information about the number of iguanas in the reptile exhibit. According to the problem, there are 7 times as many snakes as iguanas in the reptile exhibit.

This means that to get the number of Iguanas in the reptile exhibit, we simply multiply the number of snakes by 7.

Iguanas = snakes X 7

Iguanas = 35 X 7 =245 Iguanas

Therefore, there are 245 Iguanas in the reptile exhibit

In a painting, The Great Pyramid of Giza is 45 centimeters tall.
If the pyramid is actually 146.5 meters tall, find the scale.

Answers

Answer:

The scale is: 1 cm = 3.26 meter

Step-by-step explanation:

Given

Height of Pyramid in Painting = [tex]H_p = 45 cm[/tex]

Actual Height of Pyramid = [tex]H_a = 146.5m[/tex]

In order to find the scale, we can find the ratio between actual height and height in painting.

The ratio can be found by dividing the actual height by height in painting

[tex]Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm[/tex]

Rounding off to nearest hundredth

= 3.26

This means that the scale is:

1 cm = 3.26 meter

What is the result when x^3-8x^2+19x-14x 3 −8x 2 +19x−14 is divided by x-2x−2? If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+ b(x) r(x) ​ .

Answers

Answer:

The result when x^3-8x^2+19x-14 is divided by x^2-2x−2 is

[tex]x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex] .

Step-by-step explanation:

Seems the divisor in the question is x^2-2x−2. If so, the solution to the division is shown using the long division method in the attachment below.

The result is

[tex]\frac{x^{3}-8x^{2} +19x -14}{x^{2} -2x-2} = x-6 +\frac{9x -26}{x^{2} -2x-2}[/tex]

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