Stephanie adds pennies, nickels and quarters to a scale until the mass of the combined coins is $75$75​ grams. Each penny has a mass of $2.5$2.5​ grams, each nickel has a mass of $5$5​ grams and each quarter has a mass of $5.7$5.7​ grams.

Create an equation to model this situation, where $x$x​ is the number of pennies, $y$y​ is the number of nickels and $z$z​ is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly $75$75​ grams.

Answer:

y = -2/3x + 5 1/3

Step-by-step explanation:

Find the slope:

4 - 6 / 2 - (-1) = -2/3

Put it in point-slope form:

y - 6 = -2/3(x + 1)

rearrange:

y - 6 = -2/3x - 2/3

y = -2/3x + 5 1/3

Answer:

1.41421

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

25/40

which can be simplified

highest common factor is 5

therefore divide both numbers by 5

5/8

Answer:

hi

Step-by-step explanation:

Answer:

thee answer is 27

Step-by-step explanation:

As the first part was 27 and the second pARTR 27 NO MATHS NEED TO BE INCLUDED AS 27 IS THE CORRECT

Answer:

10 apples

Step-by-step explanation:

We can write a ratio to solve

3 oranges     15 oranges

--------------- = -----------------

2 apples           x apples

Using cross products

3x = 2 * 15

3x = 30

Divide by 3 on each side

3x/3 = 30/3

x = 10

Answer:

He can expect to sell 10 apples

Answer:

110

Step-by-step explanation:

y = 11/6x where x is in minutes

there are 60 minutes in an hour

plug in 60 as x

11/6 *60 = 11*10 = 110

Answer:17

Step-by-step explanation:

Answer:

9 tens will be 90 (9x10=90) so there will be 90 ones

Step-by-step explanation:

I think that's what you are asking right?

Answer:

you are 100 percent correct

Answer:

21

Step-by-step explanation:

83+22=105

105/5=21

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x  - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

Answer:

(3,-4)

Step-by-step explanation:

rise=go up

run=go left or right

if you go left its negitive if you right its positive

always start with the lower dot

hopes this helps id you need more help just message me

Answer:

Is there a picture to match?

Answer:

Step-by-step explanation: its 15 so yeah

Answer:

pretty sure.

Step-by-step explanation:

i believe in you.

Answer: 55.4

Step-by-step explanation:

Remember soh cah toa

tangent = adjacent/opposite

angle is 18 degrees

Opposite is 18

Adjacent is x

So tangent of 18 degrees = 18/x

Use calculator to find tangent of 18 =0.3249

So 0.3249 = 18/x

Reciprocal both sides

3.0777 = x/18

Multiply both sides by 18

x = 55.3983

You may need to round

9514 1404 393

Answer:

  101

Step-by-step explanation:

  1² + 10² = 1 + 100 = 101 . . . sum of 1st and 10th square numbers

Answer:101

Step-by-step explanation:yw

Answer:

y  =  x  +  3 z

Step-by-step explanation:

Answer:

62.8

3,14x2x10=62.8in squared

Answer:

-1/3

Step-by-step explanation:

slope=y2-y1/x2-x1=3-4/2--1=-1/3

Answer:

what are the statements?

Answer:

D: 12

Step-by-step explanation:

1) So what I did at first was convert the fractions into decimals.

(Personally, this makes it easier, for me at least)

2) The problem states that for every 0.25 cups of broccoli, 0.60 grams of fiber are added as well to the mix. You can also convert this into a fraction. (It doesn't matter which one is the numerator/denominator, but for this example, I used the 0.25 cups of broccoli as the numerator.

3) Next step would be making another fraction. This time, the fraction is for the 5 cups of broccoli. Since we don't know the amount of grams for the fiber, we will replace it with an "x".

4) Realize, that |  [tex]\frac{0.25}{0.60} =\frac{5}{x}[/tex] |  To figure out the answer to this part, you can cross-multiply

5) Then at last, divide both sides by [tex]0.25[/tex] and you'll get:

Sorry this may have taken a long time; I just wanted to make sure everything was correct. Hope you do well on math, whether it's a test, or just homework. Good luck! :D

Answer:

-21

Step-by-step explanation:

Answer:

D 144 in hope this helps you on your test

Answer:

B. x² - 13x + 42

Step-by-step explanation:

Answer:

Water is added to liquid isopropanol (a polar liquid) to form a solution of rubbing alcohol. Describe what happens on the molecular level as the water dissolves in the isopropanol.

Step-by-step explanation: