Dylan was given a gift card for a coffee shop. Each morning, Dylan uses the card to
buy one cup of coffee. Let A represent the amount money remaining on the card after
buying x cups of coffee. A graph of A is shown below. Write an equation for A then
state the x-intercept of the graph and determine its interpretation in the context of
the problem.

Answer: 18 quarts

Step-by-step explanation:

As per given,

Quantity of sparkling juice is proportional to quantity of course with grape juice.

Given: A free cable sparkling juice calls for [tex]1\dfrac12[/tex] quarters of sparkling water and [tex]\dfrac34[/tex] course with grape juice .

Let x be the quantity of sparkling water need to mix with 9 quarts of grape juice.

then, by equation of direct proportion , we have

[tex]\dfrac{1\dfrac12}{\dfrac34}=\dfrac{x}{9}\\\\\Rightarrow\dfrac{\dfrac{3}{2}}{\dfrac{3}{4}}=\dfrac{x}{9}\\\\\Rightarrow\ \dfrac21=\dfrac{x}{9}\\\\\Rightarrow\ x=9\times2\\\\\Rightarrow\ x=18[/tex]

Hence, the quantity of sparkling water need to mix with 9 quarts of grape juice = 18 quarts

Answer:

52

Step-by-step explanation:

{[3(29)]+35-30} -40

{(87)+35-30}-40

(87+35-30)-40

(92)-40

92-40

=52

Answer:

69/8

Step-by-step explanation:

-55/8 + 31/2

The lowest common denominator (LCD) is 8.

(-55 + (8/2)31) / 8

(-55 + 124) / 8

69/8

8 5/8

I'm sorry if you do not understand. This is how I was taught.

Substituting u = 6x - 5, you write

y = cos(u)

Then differentiating with the chain rule gives

dy/dx = dy/du • du/dx

We have

dy/du = -sin(u)

du/dx = 6

so

dy/dx = -6 sin(u) = -6 sin(6x - 5)

Answer:

x = 12

y = 14

Step-by-step explanation:

5x + 4y = 116

5 x 12 = 60

4 x 14 = 56

60 + 56 = 116

10x + 6y = 204

10 x 12 = 120

6 x 14 = 84

120 + 84 = 204

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

Here's how I found x and y:

10x + 6y = 204 can be divided by 2

5x + 3y = 102

Then I took 116 and subtracted 116 given the difference

in y.

116 - 102 = 14

So y =  14 and then I sovled for x:

5x + 56 = 116

116 - 56 = 60

60/5 = 12

10x + 84 = 204

204 - 84 = 120

120/10 = 12

Answer:

3:15PM

Step-by-step explanation:

If If Diana got out of school at 1:40 P.M, this and spent 1 hour 35 minutes at the rehearsal, to know the time that the choir rehearsal ends, we will have to add the time spent at rehearsal to the time he got out of school;

1:40 P.M + (1hr 35 minutes)

1:40 P.M + 1 hr = 2:40PM

2:40PM + 35mintes = 2:40PM + (20mintes) +15 minutes

[2:40PM + (20mintes)] +15 minutes = 3:00pm + 15 minutes

3:00pm + 15 minutes = 3:15PM

Hence the choir rehearsal ends at 3:15PM

Answer: 169 pages

Step-by-step explanation:

225-[1/4(225)]

225-56.25          ROUND DOWN

225-56

169 pages

Answer:

56 1/4

Step-by-step explanation:

Hope this helps! :)

Answer:

1.33333333quarts

1.3(repeating) quarts

Step-by-step explanation:

I got m 7/3 I think that's the answer

Answer:

−8(3x − 8). thats the answer, im doing the USA testprep too

Answer:

6

Step-by-step explanation:

Plz answer my question

Answer:

$72

Step-by-step explanation:

36/3=12

1 tanktop=$12

12*3=36

1 shirt equals=$36

36*2=72

2 shirts=$72

Answer:1.41

Step-by-step explanation: subtraction

Answer:

side            -          equation       -         measurement

1st side       -           2s - 65         -                  55cm

2nd side     -               s               -                  60cm

3rd side      -            s - 10           -                  50cm

Step-by-step explanation:

total = 165

side - s

1st side = 2s - 65

2nd side = s

3rd side = s - 10

1st side + second side + 3rd side = 165

2s - 65 + s + s - 10 = 165

2s + s + s - 65 - 10 = 165

4s - 75 = 165

4s = 165+ 75

4s = 240

s = 60

1st side = 2s - 65

            = 2(60) - 65

            = 120 - 65

            = 55cm

2nd side = s

               = 60cm

3rd side = s - 10

              = 60 - 10

              = 50cm

3rd side is represented by s - 10 as it is less than the second side by 10cm hence taking away the 10 from the side forming the equation s - 10

Answer:

s-10

I took the quiz

Answer:

-3 ? from what I got but you dont have it there

Answer:

the answer is the second answer choice

Step-by-step explanation:

You have to pay close attention to the open and closed dots on beggining and end of your line

Graph the line using the slope and y-intercept, or two points.

Slope:

4

y-intercept:

(0, 6)

Answer:

A: The Twelve Oaks farm has 14 sheep and 2 acres of land.

Step-by-step explanation:

For every 7 sheep, there has to be one acre of land. In order for you to find how many sheep are needed for each acre, you would multiply the amount of acres and you should get the amount of sheep that farm holds.

A. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

B. 3 x 7 = 21 meaning there should be only 21 sheep at a farm that only has acres of land.

C. 6 x 7 = 42 meaning there should be only 42 sheep at a farm that only has 6 acres of land.

D. 2 x 7 = 14 meaning there should be only 14 sheep at a farm that only has 2 acres of land.

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

Answer:

Its 22

Step-by-step explanation:

x is 19

so 3+19 is 22

Answer:

-5

Step-by-step explanation:

2+9-2(8)

11-16

Answer:

-5

Step-by-step explanation:

2+9-16(got it 2 x 8)

So the answer -5

im sorry if the answer was wrong

Answer:

two solutions

Step-by-step explanation: it cant be no solution because no solution will be a vertical line it can be one solution becuase y=x is a solution and so is y=4

Answer:

6x - 11 + 7x - 27 = 36

6x + 7x = 13x

-11 + (-27) = -38

13x - 38 = 36

-38 - 36 = -74

13x/13 = -74/13

x = -74/13

Step-by-step explanation:

can no longer be simplified

Answer:

$4.50 per book

Step-by-step explanation:

Answer:

3x² -2x -3

Step-by-step explanation:

x² *3x²= 3x²

-x *2x=-2x

3 *-1= -3

Answer:

The answer is 1

4-3=1

8/1=8

Answer:

x/4-3 (plug in the given value for x)

8/4 - 3  (do the division first because PEMDAS)

2 -3  (subtract)

-1  (this is your answer)