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

find the distance between the points
a)(-1,4,3)and(2,2,-3)​

Answers

Answer:

a) point a start with negative but point b) start with positive

What is 18×10^20.

I really want to know what 10^20 is i can do the rest on my own- I need a real number, not 1e+20.​

Answers

Answer:

1,800, 000, 000 ,000, 000 ,000, 000

simplified:

1.8e+21

Step-by-step explanation:

when it says 1e+20 that means there is 20 zeroes behind it:

100, 000, 000 ,000, 000 ,000, 000

Have a nice day!

the answer to 10^20 is 100,000,000,000,000,000,000

48 times 25 in distributive property​

Answers

Answer:

1200

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

how do i know my answer is reasonable

Answers

You may know your answer is reasonable if you can fact check it and get your answer or something very similar or in math, by checking your work.

sumi bought 3 tickets that cost $7 each. She paid with a $50 bill. How much change should she receive?

Answers

Answer:

$29

Step-by-step explanation:

A 15 year mortgage at 8.5 percent for $275,000

Answers

Answer:

Monthly payment is $2,708.03

Step-by-step explanation:

What is the standard form for 10 to the power of -9

Answers

Answer:

is there any whole number or decimal

2. The fifth term and eighth terms of a Gp are 80 and 640 respectively find

a) values of r and a
b) the first five terms

Answers

Answer:

a values of r and a that the answer

Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7

Answers

Answer:

[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]

• further more:

[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

What is an equation?

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.

The logarithmic equation given in the question is:

[tex]log_x5 + log_x12 = 7[/tex] ...(i)

By using the following property of logarithm, we can simplify this equation.

[tex]log_x(ab) = log_xa + log_xb[/tex]

By using this property in eq (i)

[tex]log_x[5 \times 12] = 7[/tex]

[tex]log_x[60] = 7[/tex]

By using logarithmic transformation.

[tex]x^7 = 60[/tex]

∴ [tex]x^7 - 60 = 0[/tex]

The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

Hence, The equivalent exponential equation is given by  [tex]x^7 - 60 = 0[/tex].

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A piece of wire 3/7 m long as we cut into six pieces of the same length what is the length of each piece

Answers

Answer:

Each piece is 1/7 m long

Step-by-step explanation:

Wire length = 3/7 m

Pieces = 6

1 piece = 3/7 ÷ 6

= 3/7 ÷ 6/1

= 3/7 × 1/6

= 1/7 m

I need help pls I really need a answer

Answers

Answer:-16

Step-by-step explanation:

add all the temperature together =-112

then you divide by the number of temperatures given which is 7 which gives you -16

Answer:

-16 degrees C.

Step-by-step explanation:

When they say mean, they mean the average. You add the numbers together and divide them on how many numbers there are.

Which of the following values of x would not be in the domain of the function defined by f(x) = x-2/x+3?

Answers

Answer:

x = 7 is not there in the domain of the function.

Step-by-step explanation:

The value of x = -3 would not be in the domain of the function

We have the following information available from the question is:

The function is :

[tex]f(x) =\frac{x-2}{x+3}[/tex]

Determine the values of x would not be in the domain of the function

Now, According to the question:

The function is :

[tex]f(x) =\frac{x-2}{x+3}[/tex]

Let the denominator equal to zero: x + 3 = 0

Rearrange unknown terms to the left side of the equation.

x + 3 = 0

x = -3

Hence, The value of x = -3 would not be in the domain of the function.

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Evaluate.

(2a−1/3)÷b/15 when a=−3/5 and b=−6.75

Enter your answer as a simplified mixed number in the box.

Answers

Answer:

[tex]3 \frac{11}{27} \\ [/tex]

Step-by-step explanation:

[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]

Answer:

Step-by-step explanation:

Mary cut a square piece of fabric with an area of 40 square feet. Which expression could be used to find the side length of the fabric?

Answers

Answer:

L = 6.3 or 6.4

Step-by-step explanation:

Just do the square root of 40, which is 6.3 or 6.4 (but I think 6.4 is a better answer)

Alana bought fabric to make scarves lf the fabric costs $5.50 per yard how much fabric did she buy for $26.40?​

A 0.48 yards
B 2.4 yards
C 4.8 yards
D 48 yards​

Answers

Answer:

C : 4.8 yards

Step-by-step explanation:

$26.40 ÷ $5.50

= 4.8

x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³ [tex]x³+y³+z³[/tex]

Answers

This equation is in wrong format

Kari has x green apples and y red apples. Which statement explains why x + y and y + x will each find the total number of apples that Kari has?

Question 10 options:

In addition, the order of the variables matters in the expression.


In addition, the order of variables does not matter in the expression.


The first expression has a greater value than the second expression.


The expressions are not equivalent because there are two variables.

Answers

x+y and y+x are the same as stated by the commutative law.
This is because let’s say x=2 and y=3,
2+3=5 and 3+2=5

Leah's softball team has $437 to spend on equipment. They want to buy 5 gloves that cost $84 each. Leah needs to know if they have enough money to buy the gloves. What is the hidden question she has to answer first? Texas connection academy

Answers

Answer:

yes she will have enough, they will have 17 dollars left

Step-by-step explanation:

84 times 5 is 420 so she will have enough

Another question I need an answer to since I forgot to put it in my previous one. Worth 50 points this time with a brainliest. This is not a multiple choice. Please help me this is the last one.

Answers

Answer:

64?

Step-by-step explanation:

Someone please help me which one is it, and explain

Answers

Answer:

C. 11 customers

Step-by-step explanation:

The pattern is that it rises or goes up by 2 in the y axis, it runs or goes to the right once in the x-axis.

00.8 is 10 times greater as

Answers

0.08 x 10 = 0.8 that’s the answer

help plssss !!! I need help with this I've been struggling

Answers

Answer:

362.984 could be the answer but don't judge me I could be wrong.

Step-by-step explanation:

I'm not 100% sure.

From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.

What I did:

I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5

I then took that number and multiplied it by 0.1 and got: 2057.95

This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.

What is the equation of the line that passes through the point (–2, 1) and
has a slope of - 5/2

Answers

Answer:

y = -5/2x + -4 (or) y = -5/2x - 4

Step-by-step explanation:

Your slope is -5/2, so all you have to do is take the point (-2, 1) and use the slope to find a second point of (0, -4) which is coincidentally the y-intercept. Then you just plug the data into the equation y = mx+b. You do that and you get the answer of y = -5/2x+-4

The sum of twice a number and seven less than four times a number is fifteen

Answers

7 + 2X = 15
2x = 8
x = 4

mark me brainiest if helped
2x + (4x - 7) = 15
6x - 7 = 15
6x = 22
x = 3 2/3


Solve.
2(y + 7) = 28
Answer:

Answers

Answer:

y=7

Step-by-step explanation:

Can you guys pls Help me on this

Answers

9514 1404 393

Answer:

  a) x > -2

  b) 7 ≤ y

  c) n ≤ 20

  d) g ≥ 19

  e) -5 < w

Step-by-step explanation:

Recognize the following English translations:

  "no more than" means "less than or equal to" (≤)

  "at least" means "greater than or equal to" (≥)

With these translations and the ones shown in your figure, you have ...

  a) x > -2

  b) 7 ≤ y

  c) n ≤ 20

  d) g ≥ 19

  e) -5 < w

environmental factors that affect the agricultural productions note​

Answers

climatic factors such as light, water, and rainfall, temperature, air, relative humidity and wind also affect farming in various ways. Just like other abiotic elements of environmental factors such as soil and topography, they influence how crops grow and develop.

the environmental factors that affect the agricultural production is human activities such as pollution, climatic factors and so on

Do the ratios
4
7
and
1
5
form a proportion?

Answers

Ratios 44:77 that’s how you do the ratio

Which of these a example

Answers

Answer:

D`

Step-by-step explanation:

The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)

lolol lfeofviponvfnfuibouigb

Simple Linear Regression Unit Test Plz help 1 hr 20 mins left.

Answers

Answer:

123456

Step-by-step explanation:

it is pie 3.14 because it is

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