what situations can be modeled with fraction multiplication and division

Answer:

There are 12 quarters and 16 dimes

Step-by-step explanation:

Firstly, we need to know that a quarter is worth $0.25 while a dime is worth $0.10

There are 4 more dimes than quarters;

So if there are x quarters, there are x + 4 dimes

From the question we can get;

0.25(x) + 0.1(x + 4) = 4.6

0.25x + 0.1x + 0.4 = 4.6

0.35x = 4.6-0.4

0.35x = 4.2

x = 4.2/0.35

x = 12

X + 4 = 12 + 4 = 16

Answer:

1÷7 is the answer

Answer:

10004

Step-by-step explanation:

Answer:

RT = 86

Step-by-step explanation:

23x - 6 = 2(15x - 17)

23x - 6 = 30x - 34

23x - 30x = - 34 + 6

-7x = -28 |÷(-7)

x = 4

RT = 23x - 6 = 23 × 4 - 6 = 92 - 6 = 86

Answer:

(0,-7) is the answer

Answer:

The equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]

Step-by-step explanation:

We need to find equation of line in point slope form that passes through points (5,0) and (-6, -1).

The general equation of point slope form is: [tex]\mathbf{y-y_1=m(x-x_1)}[/tex]

where m is the slope of line.

We need to know Slope m

Finding Slope m

Finding Slope m using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=5, y_1=0, x_2=-6 \ and \ y_2=-1[/tex]

Putting values and finding slope

[tex]Slope=\frac{-1-0}{-6-(5)}\\Slope=\frac{-1}{-6-5}\\Slope=\frac{-1}{-11}\\Slope=\frac{1}{11}[/tex]

So , slope m is: [tex]\mathbf{m=\frac{1}{11}}[/tex]

Using point (5,0) and slope m =1/22 the equation of point-slope form is:

[tex]y-y_1=m(x-x_1)\\y-0=\frac{1}{11} (x-5)\\y=\frac{1}{11}x-\frac{5}{11}[/tex]

So, the equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]

Answer:

5

571

x 38

---------

4,568 <------571×

+3,213x <------571x

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

36,698

Answer:

<1 =100 (check explanation for why)

<2 = 80 (check explanation for why)

<3 = 100 (check explanation for why)

Step-by-step explanation:

You can get <1 from the given angle being a linear pair  to <1, so:

180= 80+ <1

100= <1

You can get <2 from being a linear pair to <1, so:

180 = 100 + <2

80 = <2

You can get <3 from being a linear pair to <2

180 = 80 + <3

100= <3

Answer:

m<1= corresponding

m<2=vertical angle

m<3=consecutive interior angle

But i am not sure entirely.

Answer:

8z

Step-by-step explanation:

Since these are like terms, add the numbers together and then put the z on.

Answer:

18x+8

-48x-24

4x+5

-48x-18

6x-16

30x-10

-24x+8

30x-10

10x-2

-9x+6

The answeres are in ordered so you dont get comfused.

I hope this help you! :)

Answer:

i think its 38.4 but im not 100% sure

Answer:

15

Step-by-step explanation:

Let, number of small and big pumpkin are x and y.

So, mathematical equation is given by :

x + y = 29    ...1)

3x + 5y = 105     ...2)

Putting value of x from equation 1 to equation 2, we get :

[tex]3(29-y ) +5y=105\\\\2y = 18\\\\y = 9[/tex]

So, x = 20

Therefore, number of small and large pumpkins are 20 and 9 respectively.

Hence, this is the required solution.

Answer:

A. R = -18t + 1,820

B. 1,568 billions of barrels

C. approximately 101.11 years

Step-by-step explanation:

To make our equation, we'll use the form R = mt + b. M represents how many billion barrels of oil are being lost each year, which we know is 18 billion. So -18 will be our m. B is how many total barrels of oil there are, which is 1,820. So 1,820 will be our b. Now the equation looks like this:

R = -18t + 1,820

We can use this equation to answer Part B.

Replace the t with 14:

R = -18(14) + 1,820

Now solve for R:

R = -18(14) + 1,820

R = -252 + 1,820

R = 1,568

14 years from now, there will be 1,568 billions of barrels left.

To solve part C, we need to find how many years it will take for all of the oil to be used up. After it's all used up, the total amount of oil will be 0, so we can replace R with 0 and then solve for t:

0 = -18t + 1,820

Subtract 1,820 from both sides to isolate -18t:

0 - 1,820 = -18t + 1,820 - 1,820

-1,820 = -18t

Divide both sides by -18 to isolate the t:

-1,820/-18 = -18t/-18

101.11 = t

After approximately 101.11 years, all of the oil will be used up.

Answer:

2,954,151

Step-by-step explanation:

Answer:

2954161

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

Adding 7 to both sides of the equal sign

Step-by-step explanation:

Answer:

Step-by-step explanation:

263

273

237

267

627

623

673

637

327

367

763

723

I dunno anymore. 12

Answer:

A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.

Rachel is setting up for her birthday. Rachel wants to put the same number of chairs around each table. How many chairs will Rachel place around each table at her birthday party?

✔ 6

Step-by-step explanation:

got it right on edge

Answer:

I have no idea, maybe google?

Step by step

Answer:

−7 ≤ x < 2

Step-by-step explanation:

Answer: 4.8

Hope this helped!

Answer:

30 i think

Step-by-step explanation:

Answer:

Ok so the problem is what are we looking for how many miles was traveled? or what

Answer:

7 units down

Step-by-step explanation:

it goes from 0 as intercept to -7

Answer:

in my opinion I would say your answer should be -7

Answer:

The answer is:

[tex]Q' = (-3, 3)\\\\R' = (-5, -3)\\\\S' = (-2, -2)\\\\T' = (0, 1)\\\\[/tex]

Step-by-step explanation:

All vertices of its quadrilateral were co-ordinated;  

[tex]T(-2, 1), \ Q(1, 3), \ S(0, -2), \ R(3, -3)[/tex] Therefore, we first undertake the operation correct: [tex]T(2, 0) \ QRST[/tex], there;

[tex]T(2, 0) \ QRST[/tex] [tex]\to T(-2 + 2, 1), \ Q(1 + 2, 3), \ S(0 + 2, -2), \ R(3 + 2, -3)[/tex]

[tex]T(2, 0) \ QRST[/tex][tex]\to T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)[/tex]

A preimage (x, y) will be the image in the next phase R-y-axis reflecting mostly on the y-axis (-x, y)  and we've got it;  

R y-axis [tex](T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)) = \ T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2), \ R'(-5, -3)[/tex]From which we get [tex](Ry-axis \ T(2, 0)) \ (QRST = T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2),\ R'(-5,-3).[/tex]

Answer:

x = 25

Step-by-step explanation:

Answer:

x= 25

Step-by-step explanation:

Add 2 given sides then subtract 180