You have 100 coins worth $6.95. All of the coins are nickels and dimes. How many nickels and how many dimes do you have? Write a system that represents the situation. Estimate the solution using a graphing calculator.

Answers

Answer 1

Answer:

61 Nickels and 39 Dimes

Step-by-step explanation:

you have $3 and 5 cents in nickels and 3$ and 90 cents in Dimes

it all equals 100 coins all together

Answer 2

The number of dimes is 39 dimes

The number of nickels 61 nickels

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

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 ,

Let the number of dimes be = x

Let the number of nickels be = y

So , total number of coins = 100

x + y = 100   be equation (1)

And , the total amount = $ 6.95

The cost of one dime = $ 0.10

The cost of one nickel = $ 0.05

So , total cost = 0.10x + 0.05y = 6.95   be equation (2)

Now , on simplifying equation (1) and equation (2) , we get

x + y = 100

10x + 5y = 695   be equation (3)

Divide equation (3) by 5 , we get

2x + y = 139   be equation (4)

Now , Subtracting equation (1) from equation (4) , we get

x = 39

Therefore , the number of dimes is 39 dimes

Substituting the value of x in equation (1) , we get

x + y = 100

y + 39 = 100

Subtract 39 on both sides of the equation , we get

y = 61

Therefore , the number of nickels is 61 nickels

Hence ,

The number of dimes is 39 dimes

The number of nickels 61 nickels

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Related Questions

Given ABCD, solve for x.
B
с
30.5x" (15+10
A
D
O A. 13
O B.9
O c. 11
O D. 7

Answers

Answer:

30.5x" (15+10

A

D

O A. 13

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

Mixed number: [tex]2 \frac{1}{100}[/tex]

Improper fraction: [tex]\frac{201}{100}[/tex]

7. (4x - 13) (2x + 37 what is x?

Answers

Answer:

8 x2 + 2x - 91

Step-by-step explanation:

56x2 + 4x -637

The area of a rectangle is 53 5/6 square feet the length of the garden is 9 1/2 feet what is the width (answer and equation please)

Answers

Answer:

The rectangle above shows its dimensions. Find the perimeter.

First, substitute the values for the width

(W)

and the length

(L)

into the perimeter formula.

P=2(12)+2(9)

Next, complete the multiplication and addition to find the perimeter.

PPP===2(12)+2(9)24+1842

The answer is 42.

The perimeter of the rectangle is 42 inches.

Area is the amount of square units inside the figure. Area is found by multiplying the

length×width

. The formula for finding the area of a rectangle is:

A=L×W

You can use the dimensions from the rectangle above to find the area of this rectangle.

First, fill the values for

L

and

W

into the formula for area.

AA==L×W12×9

Next, solve for the area by multiplying.

AA==12×9108

The answer is 108.

The area of the rectangle is

108 in2

.

Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself:

in×in=in2

. Area is always written in square units.

You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol

s

. You can use the following formula for finding the perimeter of a square:

P=4s

Let’s look at an example.

A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.

First, substitute the values for the perimeter

(P)

and the length

(L)

into the perimeter formula.

72=2(12)+2W

Next, complete the multiplication.

72=24+2W

Then, subtract 24 from both sides to get your variable alone on the right side.

72−2448==24−24+2W2W

Then, multiply both sides by the reciprocal of 2 to isolate your variable.

12×481482W===12×2W1W24

The answer is 24.

The width of the rectangle is 24 feet.

The width of the rectangular garden is 5 2/3 feet

We have the following information available from the question is:

The area of a rectangle is 53 5/6 square feet

and, the length (L) of the garden is 9 1/2 feet

We have to find the width (W) of the rectangle.

Now, According to the question:

We know that :

The area of rectangle = L × W

Plug all the values in above formula:

53 5/6 = 9 1/2 × W

323/6 = 19/2 × W

[tex]W=\frac{323(2)}{6(19)}[/tex]

W = 17/3

17/3 as a mixed number would be 5 2/3.

Hence, The width of the rectangular garden is 5 2/3 feet

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can someone help me with this quickly

Answers

If we imagine these points graphed on a coordinate plane, they will look like a parabola. Also, neither a linear or exponential function will have 2 of the same y-values. Therefore, the only option is a quadratic function.

Hope this helps!! :)

Please help with this due tommorow giving 70 points

Answers

Answer:

As follows,

Step-by-step explanation:

The picture isn't clear but i will try,

ax+b>d

a<0

Then,

1.x>(d-b)/a

xa>d-b

ax+b>d

Which is true, thus x>(d-b)/a is true.

2.x<(d-b)/a

ax<d-b

ax+b<d

Which is false, thus x<(d-b)/a is false.

3.x<d/a-b

x<(d-ab)/a

ax<d-ab

ax+ab<d

Which is not given, thus x<d/a-b is false.

4.x>d/a-b

x>(d-ab)/a

ax>d-ab

ax+ab>d

Which is not given, thus x>d/a-b is false.

please help me with this sum

20 - 3 x 6 + 8 =

Answers

Answer:

10

Step-by-step explanation:

Use the PEMDAS rule.

20 - 3 * 6 + 8

= 20 - 18 + 8

= 20 - 10

= 10

When we carry out the operation 20 - 3 × 6 + 8 the result obrained is 10

What is BODMAS?

The meaning of BODMAS is given below:

B => BracketO => Of D => DivisionM => MultiplicationA => AdditionS => Subtraction

The above pattern tells us exactly what sign to carry out 1st when we have more than one signs in an expression.

How to determine 20 - 3 × 6 + 8

20 - 3 × 6 + 8

Carry out multiplication

20 - 18 + 8

Carry out addition

20 - 10

Carry out subtraction

10

Thus,

20 - 3 × 6 + 8 = 10

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[tex]\sqrt{1.69}[/tex]

Answers

1.3 Is that the answer you looking for

can anyone help ?
Fasttt

Answers

Answer:

- 3

Step-by-step explanation:

6 - 4x = 6x - 8x + 12

6 - 4x = - 2x + 12

6 - 12 = - 2x + 4x

- 6 = 2x

x = - 6 / 2

x = - 3

Answer:

+3

Step-by-step explanation:

we collect like terms to give us

-4x-6x+8x=12-6

-10x+8x=-6

-2x=-6

divide through by -2 to give us

-2x/-2=-6/-2

x=+3

note that when a negative sign divides another negative sign, it gives us a positive sign which in our case, could be ignored if chosen to

Suppose f(x) = x ^ 3 Find the graph of f(x + 3) Click on the correct answer

Answers

Answer:

f(x)=(x+3)^3, horizontal translation/shift of 3 units to the left.

Step-by-step explanation:

f(x)=x^3 is your given function. f(x+3) is a horizontal shift of 3 units to the left because the "+3" is inside the parentheses and it's a shift to the left instead of the right because x needs to equal -3 for the quantity to equal 0. Overall, the graph shifts 3 units to the left.

URGENT, please!!
Use the given information to write an equation of each parabola:

The parabola has focus (0,6) and vertex at the origin.

Answers

The equation of the parabola is:

[tex]y = 24x^2[/tex]

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

The equation of a parabola of vertex (h,k) and focus (0,f) is given by:

[tex]y = 4p(x - h)^2 + k^2[/tex]

Vertex at the origin means that [tex]h = 0, k = 0[/tex].Focus (0,6) means that [tex]p = 6[/tex]

Thus, the equation of the parabola is:

[tex]y = 4p(x - h)^2 + k^2[/tex]

[tex]y = 4(6)(x - 0)^2 + 0^2[/tex]

[tex]y = 24x^2[/tex]

A similar problem is given at https://brainly.com/question/15165354

Hey ! Can anyone help me with this question please ? Thank you

Answers

it’s parallel and you have to set both equal to each other so therefore it will be x=10

Answer:

x=10 since 8x+10 and 6x+30 are equal just equate

NO LINKS PLEASE HURRY I REALLY NED HELP!!!

Answers

2(x+10)
this is because you are doing x+10 twice

Question 19 of 25
Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
OB. Yes, the graph passes the vertical line test.
O C. Yes, there are no y-values that have more than one x-value.
OD. No; there are y-values that have more than one x-value.

Answers

A graph may or may not represent a function.

The true statement is: (b) Yes, the graph passes the vertical line test.

The vertical line test is used to determine if a graph represents a function or not.

When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.

This means that:

The graph represents a function.

Hence, option (b) is true

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2+31×1/10+14×1/100 is greater smaller or equal to 2.324 and 14+72×1/10+4×1/1000 is greater than smaller than or equal to 21.24 and 0.3×10 to the second power +0.007×10 to the third power is bigger than small that are equal to 0.3×10+0.7×10 to the second power

Answers

Answer:

3457

Step-by-step explanation:670

help me make a apple account and put the user and password please

Answers

Reply to comment I will help

Josh decided to purchase a
jacket for his mother that costs
$200.00. After paying a 6%
sales tax, how much will Josh
pay for the gift?

Answers

Answer

$212

Step-by-step explanation:

to get this answer, you must find what 6% of 200 is, which can be calculated using this little equation here

percentage/100 x original price = sales tax

6/100 x 200= 0.06 x 200= 12

this gives you the sales tax, or the amount of money that was added onto the original price, all that's left to do is to add, so original price + sales tax

200+12= $212

explain ratio tables

Answers

Answer:

A ratio table is a structured list of equivalent (equal value) ratios that helps us understand the relationship between the ratios and the numbers. Rates, like your heartbeat, are a special kind of ratio, where the two compared numbers have different units

Step-by-step explanation:

PLEASE HELP WITH MATH GRADIENTS I WILL GIVE BRAINLIEST.

Answers

Answer: 12

Step-by-step explanation: do not lie to me you better mark me a brainly or going to report you

Which equation represents a line that is perpen-
dicular to y = 5x +2 and goes through the point
(-10, 3)?

Answers

Answer:

A

Step-by-step explanation:

If you substitute the values given in the question, i.e. (-10,3), the only equation that satisfies this solution is A.

Try substituting

x for (-10)

y for (3)

Add −12 + 7.
options:

19


−5


−19


5

Answers

Answer:

[tex] - 12 + 7 = - 5[/tex]

I hope I helped you^_^

Consider the graph of rational function f

6
-6
-2
10
2
4
O
-2
Which equation represents function
A f(x)= 4/x-3
B f(x)= 4x+12/x^2 + x-6
C f(x)= 4/x+2
D f(x)= 4x-8/x^2 +x-6

Answers

Answer:

The answer should be D

Step-by-step explanation:

sorry if it's wrong, I just did this test the other day and I forgot if I got it right.

The rational function that is represented by the given graph is [tex]f(x) = \frac{4x - 8}{x^{2} +x-6}[/tex]

What is a polynomial function ?

Rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

We need to find out which  rational function is represented by this graph.

Firstly, we see that graph does not exist at x = -3 and x = 2.

Thus, (x+3) and (x-2) cannot be equal to 0.

(x + 3)(x - 2) = x² + x - 6

Thus, the denominator of the function is x² + x - 6.

So, our solution can be B. or D.

We can also see that there is a circle over the graph at x = 2. This means that f(x) is undefined at x = 2. It is possible only if f(x) = ∞/∞ or 0/0 at x = 2.

On putting the value of x = 2 in both B. and D., we find that in D. f(x) = 0/0 at x = 2.

[tex]f(2) = \frac{4*2 - 8}{4 + 2 - 6} = \frac{0}{0}[/tex]

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And-Which is a way to show sixteen?

Answers

Answer:

The answer will be 62

Step-by-step explanation:

52

{ } +10

61 (+1) 62 (+1) 63

{ } +10

72

4. Solve 3n = n - 2.
n = 2
n = 1
n=-2
n=-1​

Answers

I think the answer is -1

3n=n-2

3n-n=2

2n=2

n=1

Hope it helps you! Please mark Brainliest! :)

YALL PLSSSSSSSS HELP IM SHAKING I NEED HELP PLSS

Answers

Answer:

someone is adding dont worrie

Step-by-step explanation:

will mark as brainliest
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.

Answers

the answer is -1 2 i think that is the answer

A large national park has an area of 91,417 acres. What is its area in hectares

Answers

Answer:

36995.1474

Step-by-step explanation:

multiply the area value by 2.471

Check all solutions to the equation. If there are no solutions, check "None."
W = 4




Someone help!!

Answers

Answer:

A) 2

Step-by-step explanation:

The square root of 4 is 2 because 2 x 2 = 4.

The equation says x = 4, and what your trying to solve is the square root of that, not the root. The root to 4 would be 16 if it was reversed.

-kiniwih426

Enter the number 10.333333333333 rounded to the nearest hundredth (two decimal places):

Answers

Answer: 10.33

Explanation: The 3 in the thousandths place is less than 5 so the number in the hundredths place stays the same.

One yard company charges $10x + $50 a month to mow and edge a lawn. A second company charges $8x + $60 a month to mow and edge a lawn. Each lawn company also offers additional services for an extra fee.

Let x represent the number of additional services.

Mr. Mead is comparing the two companies. How many additional services are needed for the two companies to be the same price?

I’m too lazy to do it

Answers

Answer: x=5

Step-by-step explanation:

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