Daniela, Kieu, and Cameron decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of$37.50. Use systems of equations to find the price of a large soft drink and the price of a large bucket of popcorn!​

Answer:

1. m = -3, b = 4

2. m = 0, b = 7

3. m = -1.5, b = -4

4. m = 3, b = 0

5. m = 1.5, b = -7

Distance covered to travel house and school, d1 = 1.22 miles.

Distance covered in 3 laps, d2 = 3 × 0.25 = 0.75 miles.

Distance between halfway to the gas station from school,

d3 = 2.68÷2 = 1.34 miles.

Distance from his last position to home, d4 = 0.49 miles.

So, total distance covered is :

[tex]D = d1+d2+d3+d4\\\\D=(1.22+0.75+1.34+0.49)\ miles\\\\D=3.8\ miles[/tex]

Therefore, total distance covered is David is 3.8 miles.

Hence, this is the required solution.

Answer:

-1/15 because it is closer to zero on the negative half of a number line.

Answer:-1/15

Step-by-step explanation:When it comes to negatives sign the smaller number with the negative sign is always the greater number

Answer: I say B

Step-by-step explanation:

Answer:

A. t=-2h+32

Step-by-step explanation:

I'm pretty sure it's A. If the temperature starts at 32 degrees at midnight, that is going to be it's own number, not joined with a variable. In contrast, the temperature drops 2 degrees every hour, so the variable h will have a 2 with it (2h). But because it drops, the 2h will actually be negative. The equation would be written like this...

t=-2h+32, which is answer A.

I hope you understood! Good luck on your assignment and have an awesome day C:

Answer:

That's pretty much correct. A continuous function is one that has no breaks or holes. For example, 1/x+5 is not continuous (or discontinuous) because the domain does not include -5. However, I don't think it needs to necessarily have to have curves because all linear functions are continuous. Hope this helps! (I learned about this a few weeks ago in my pre-calc class lol)

Step-by-step explanation:

Answer:

1. Total amount of the five checks is $132.95.

2. She owed $16.47 before tax.

3. quizzes- 53 pts

   projects-129 pts

   tests-272 pts

   for grading period-454 pts

4. Tim-399

   Jane-401

   Felipe-412

   Chen-419

   team-1,631

Can i get brainliest please?

Answer:

$72 that is the answer for the question

Answer:

im going with G

Step-by-step explanation:

I believe it is G because the negative 3 was located on the whole section on the graph.

w = f × distance

w = 4 × 0.5

w=

For any arithmetic sequence  aₙ₊₁ = aₙ + d

912, 864, 816, 768, 720

864 - 912 = -48 = d

so the next three terms:

720 + (-48) = 672

672 + (-48) = 624                    

624 + (-48) = 576

670, 620, 570   ⇒ 620 - 670 = -50 = d

so the next three terms:

570 + (-50) = 520

520 + (-50) = 470

470 + (-50) = 420

620, 520, 420   ⇒ 520 - 620 = -100 = d

so the next three terms:

420 + (-100) = 320

320 + (-100) = 220

220 + (-100) = 120

672, 624, 576   ⇒  624 - 672 = -48 = d

so the next three terms:

576 + (-48) = 528

528 + (-48) = 480                    

480 + (-48) = 432

675, 630, 585   ⇒  630 - 675 = -45 = d

so the next three terms:

585 + (-45) = 540

540 + (-45) = 495

495 + (-45) = 450

Answer:

975 teenagers attended the game.

Answer:

If 16 quarters is equal to 2 toonies, then 1 quarter is;

16 : 2

1 : x

16x = 2

x = 2/16

x = 1/8 toonies

20 quarters would therefore be;

= 1/8 * 20

= 2.5 toonies

24 quarters would be;

= 1/8 * 24

= 3 toonies

The value of the expression when simplified is equal to √5. The correct option is D.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given radical expression can be simplified as shown below,

5√20 - 3√45

Write the under root values in the factored form,

= 5√(4×5) - 3√(9×5)

Simply the function that can be simplified,

= 5(√4 × √5) - 3(√9 × √5)

= 5(2√5) - 3(3√5)

= 10√5 - 9√5

Take √5 as the common term from the two of the given terms,

= (10 - 9) √5

= 1 √5

= √5

Hence, the value of the expression when simplified is equal to √5.

Learn more about Expression here:

https://brainly.com/question/13947055

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Answer:

B

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

I just took the test and this was correct

Answer:

Do 180-110=70 Then have it where 70/2=35. 35+4=39, 35-4=31, so the three angles are 39, 110, and 31.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The point is (1,-1) and the slope is 1/2, so you plug in the number in the blanks y-___=___(x-___).  The y in the first the slope in the second and the x in the third.

The equation is in slope-intercept form y = -x/4 -3/4

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A graph of the line.

Assuming the graph measurement is 1 unit.

Then we interpreted two points (-1, 1) and (3, 0).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

y - 1 = (-1/4)(x + 1)

y - 1 = -x/4 -1/4

y = -x/4 -3/4

Therefore, the equation is y = -x/4 -3/4

To learn more about the slope;

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Answer:

x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or [tex]6\frac{7}{11}[/tex] or  ( 6 remainder 7)

Step-by-step explanation:

1. In order to determine the value of x, we will first find a two-digit multiple of 9 that has a unit value of (2)

Multiples of 9 = 18, 27, 36, 45, 54, 63, 72, 81, ...

from the above, the multiple of 9 that has a unit value of '2' is 72 ( 7 tens and 2 units)

2. Next, we will add 1 to the multiple of 9 found in step 1 above, to create a unit value of '3'. This is because when the number is divided by 9, we want to have a remainder of 1, and when the number is divided by 10, and we want to have a remainder of 3

72 + 1 = 73 ( 7 tens and 3 units)

3. Finally, let us divide the number in step 2 above by 10

73 ÷ 10 = 7 remainer 3.

Now the number 73 satisfies the three conditions given in the question:

1) The number x is a two-digit number.

73 is a two-digit number  

2) When x is divided by 9, the remainder is 1.

73 ÷ 9 = 8 remainder 1

3) When x is divided by 10, the remainder is 3.

73 ÷ 10 = 7 remainder 3

∴ x = 73

x ÷ 11 = 73 ÷ 11 = 6.636 or ( 6 remainder 7)

Answer:

[tex]100.5 = 100 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]100 + 50\% = 100 + \frac{50}{100} = 100 \frac{1}{2} = 100.5[/tex]

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Answer:

after 1.25 hours

Step-by-step explanation:

1. make 130 your y value

  130 = 220 - 72x

2. subtract 220 from both sides

  -90 = -72x

3. divide by -72 on both sides

  1.25 = x

Answer:

Step-by-step explanation

it would be 80$ for a 20 minute phone call.

Answer:

Step-by-step explanation:

5=4

6=4.50

7=5

8=5.50

9=6

10=6.50

11=7

12=7.50

13=8

14=8.50

15=9

16=9.50

17=10

18=10.50

19=11

20=11.50

Answer:

45 - 25 = 20 / 10 = 2 meaning he used the boat for 2 hours.

Step-by-step explanation:

Its the same this as before you start by writing it out how the way PEMDAS works. PEMDAS is ( Parenthesis, Exponents, Multiplication, Division, Adding, and Subtraction). Also i accidentally messed up my other answer so give me a sec.

Answer:

No Solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.