While going on a date to the movies, you offer to buy the snacks. You plan to buy two packs of candy (one for each of you) and a large popcorn to share. If you have 15 dollars and a large popcorn costs 7 dollars, what’s the most you can spend on a pack of candy?

$3.50

$4.00

$6.50

$8.00

Answer:

The answer is below

Step-by-step explanation:

Firstly, let us find the value of x. Multiply the first equation by a and the second equation by b to get:

a²x + aby = ca             (3)

b²x + aby = cb             (4)

Subtract equation 4 from equation 3 to get:

x(a² - b²) = c(a - b)

but a² - b² = (a + b)(a - b)

x(a + b)(a - b) = c(a - b)

x(a + b) = c

[tex]x=\frac{c}{a+b}[/tex]

Secondly, let us find the value of y. Multiply the first equation by b and the second equation by a to get:

abx + b²y = cb             (5)

abx + a²y = ca              (6)

Subtract equation 5 from equation 6 to get:

y(a² - b²) = c(a - b)

but a² - b² = (a + b)(a - b)

y(a + b)(a - b) = c(a - b)

y(a + b) = c

[tex]y=\frac{c}{a+b}[/tex]

Answer:

Step-by-step explanation:

5. Putting value of m = 3

m2 - 3m + 2

(3)2 - 3(3) + 2

6 - 9 + 2

= - 1

Answer:

Step-by-step explanation:

I assume the figures are parallelograms, then

1). KL = MJ and

12x - 22 = 7x - 2

12x - 7x = 22 - 2

5x = 20

x = 4

2). m∠RQT + m∠QTS = 180°

(The picture is not clear and I might be wrong about coefficients by x for ∠RQT and ∠QTS)

(3x + 5)° + (9x - 17)° = 180°

12x - 12 = 180

12x = 192

x = 16

Answer:Let x be the number of full cup sold Let y be the number of half cup sold Whether the cup was full or not, they used 37 cups. Therefore, x + y = 37 How much money did they make selling half cup lemonade? They made y × 0.25 How much money did they make selling full cup lemonade? They made x × 0.50 Money made selling full cup + money made selling half cup = 15 x × 0.50 + y × 0.25 = 17 You end up with a system of linear equation to solved x + y = 37 x × 0.50 + y × 0.25 = 17 x + y = 37 equation 1 0.50x + 0.25y = 17 equation 2 Solve for y in equation 1 x + y = 37 x - x + y = 37 - x y = 37 - x Replace y in equation 2 0.50x + 0.25 (37 - x) = 17 0.50x + 0.25 × 37 - 0.25x = 17 0.50x + 9.25 - 0.25x = 17 0.25x + 9.25 = 17 0.25x + 9.25 - 9.25 = 17 - 9.25 0.25x = 17 - 9.25 0.25x = 7.75 Divide both sides by 0.25 0.25x/0.25 = 7.75/0.25 x = 31 y = 37 - x = 37 - 31 = 6 Sasha and Francisco sold 31 full cup and 6 half cup of lemonade It seems like people love their lemonade

Step-by-step explanation:

hoped this helpedddd

Answer:

1....y=7

2...x=7

3...y=5

4...y=6

5...x=2√10

Answer:

13/6

Step-by-step explanation: 8 pieces in 3 pan give us a total of 8/24, then minus 20/8. The writing of this equation is:

20/8- 8/24 or 8/24- 20/8 (both are good)

Since you have 24 as denominator, you'll have to reconvert the fractions above by diving 24 by their previous denominator and multiply it by their numerator:

(24/8) × 20= 60 (numerator of the 1st fraction)

(24/24) × 8=  8 (numerator of the 2nd fraction)

The new fractions are then

60/24 - 8/24= 52/24

We could stop there but since we could find an irrational fraction as an answer, why not do it

52/24 (both divided by 2)= 26/12

26/12 can still be divided so we keep going

26/12 (both divided by 2) = 13/6

13 is a prime number and therefore can be divided only by itself, and 6 cannot be divided by 13 without having a decimal answer.

13/6 is the final answer

Answer:

Cevap A şkkı

İyi dersler

Answer:

[tex]\frac{81}{m^7}[/tex]

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

[tex](3m^{-4} )^3(3m^5)[/tex]

Remove the parenthesis around 3m^5 :

[tex](3m^{-4} )^3*3m^5[/tex]

Do the exponent rule for outside and inside exponent parenthesis :

[tex](3m^{-4*3} )[/tex]

[tex]3^3m^{-12} *3m^5[/tex]

Apply addition exponent rule :

[tex]m^{-12} *3^{3+1} m^5[/tex]

Add :

[tex]m^{-12} *3^4m^5[/tex]

Apply the addition rule for -12 + 5 :

[tex]3^{4} m^{-7}[/tex]

Apply negative exponent rule for m^-7 :

[tex]3^4*\frac{1}{m^7}[/tex]

Multiply the fractions :

[tex]\frac{1*3^4}{m^7}[/tex]

[tex]\frac{81}{m^7}[/tex]

Answer:

100.00

Step-by-step explanation:

x=number of months until the costs are the same

50 + 20x = 25 + 30x

25 = 10x

x = 2.5 months

50 + 2.5(20) =$100.00

Answer:

405 > 375

375 < 405

Step-by-step explanation:

< is less than

> is greater than

Answer:

i don't see the question, but i can help you

Step-by-step explanation:

Answer:

A. (0,3)

Step-by-step explanation:

9514 1404 393

Answer:

  y = 3x^2 +30x +69

Step-by-step explanation:

Transformations work this way:

  g(x) = k·f(x) . . . . vertical stretch by a factor of k

  g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)

__

So, the translation down 2 units will make the function be ...

  f(x) = x^2  ⇒  f1(x) = f(x) -2 = x^2 -2

The vertical stretch by a factor of 3 will make the function be ...

  f1(x) = x^2 -2  ⇒  3·f1(x) = f2(x) = 3(x^2 -2)

The horizontal translation left 5 units will make the function be ...

  f2(x) = 3(x^2 -2)  ⇒  f2(x +5) = f3(x) = 3((x +5)^2 -2)

The transformed function equation can be written ...

  y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)

  y = 3x^2 +30x +69

__

The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.

Answer:

x=6

y=3r3

Step-by-step explanation:

[tex]\frac{x}{sin90} =\frac{x}{sin60} =\frac{3}{sin3}\\x=6\\y=3\sqrt{3}=3r3[/tex]

Answer: 5,15,20,25,45

Step-by-step explanation:

1st is 20, 2nd is 25, 3rd is 15, 4th is 45, 5th is 5

Answer:

9

Step-by-step explanation:

I'M TELLING U THE ANSWER IS 9

Answer:

option D

Step-by-step explanation:

the value of x = 68

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Answer:

x=68

Step-by-step explanation:

22+x=90 90-22/68

x=68

Answer:

-53/4

Step-by-step explanation:

=-4+1/4-9+1/2

=-16+1-36+2/4

=-53/4

Answer:

x-10

Step-by-step explanation:

If Dominic has X, and carla has 10 fewer. Then Carla would have X-10

Hence equation is x-10

What is word problems?

When students are given with statements , on the basis of which equations are formed are said to be word problems

How to solve?

Given number of books with Dominic=x

Carla has 10 fewer books than Dominic =x-10

Hence equation is x-10

Learn more about word problems

https://brainly.com/question/21405634

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Answer:

If rotated clockwise, then (3, -1)

If rotated counterclockwise, then (-3,1)

Step-by-step explanation:

Hope that helps!

Answer:

3x+10y=C

x=cost of potting soil

y=cost of mulch

C=total cost

An equation which represent the total cost will be,

⇒ 3P + 10M = C

Where, P is cost of potting soil bags.

M is cost of Mulch bags.

C is total cost.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Josh bought 3 bags of potting soil and 10 bags of mulch from Home Depot.

Now,

Let cost of potting soil bags = P

Cost of Mulch bags = M

Total cost = C

Then, An equation to represent total cost is;

3P + 10M = C

Thus, An equation which represent the total cost will be,

⇒ 3P + 10M = C

Where, P is cost of potting soil bags.

M is cost of Mulch bags.

C is total cost.

Learn more about the mathematical expression visit:

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Answer: point form

1. (6,24)

2.(-4,-12)

3.(3,15)

4. (-5,-20)

5. (2,4)

6.(-1,-4)

7.(-3,-9)

8.(-4,-8)

9.(3,9)

10.(-6,-30)

Step-by-step explanation:

Answer:

nice pfp and the anwser is under this sorry i dont know the y-4,7-3x,ect ones

Step-by-step explanation:

1.y=18

2.y=8

y=12

y=4 x=4

7=3

Answer:

~8.9%

Step-by-step explanation:

Answer:

Side b = 10.2 m (1 d.p.)

Step-by-step explanation:

11² = 121

15² = 225

225 - 121 = 104

√104 = 10.2 (1 d.p.)  

Side b = 10.2m

(Full answer = 10.198039)

11² + 10.2² = 15²

16 model airplanes on his shelf

4 times as many model airplanes as model trains

let's denote the number of model trains as m

So,

m=16×4

m=64

Therefore,there are 64 model trains.

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Answer:

Your answer.

240

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Step-by-step explanation:

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values

[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

Answer:

w = V/lh

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.

volume of a rectangular prism,V = lwh

Where,

l = length of the base of the prism

w = width of the base of the prism

h = height of the prism

Rewrite the formula to find w

V = lwh

w = V/lh

That is,

width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism