Jackie went to the movie theater where he bought drinks and popcorn bags for his group of friends. Each drink was $4 and a bag of popcorn was $6. He spent a total of $108. He bought a total of 22 items combined. Write a system of equations that could be used to determine the number of drinks and popcorn bags that Jackie bought at the movie theatre. Define the variables used.

Answer:

D. (f + g)(x) = -2x² - 2x + 8

Step-by-step explanation:

Given:

Find (f + g)(x):

⇒ [tex]f(x) + f(g)[/tex]

⇒ [tex]3x + 5 + ( -2x^{2} - 5x + 3 )[/tex]

⇒ [tex]3x + 5 - 2x^{2} - 5x + 3[/tex]

Combine like terms:

⇒ [tex]-2x^{2} + 3x - 5x + 5 + 3[/tex]

⇒ [tex]-2x^{2} - 2x + 8[/tex]

Answer: D. (f + g)(x) = -2x² - 2x + 8

Answer:

given,

area= 756cm^2

h = 18cm

a = 39cm

then,

area = (a+b)h/2

756 = (39+b)18/2

756= 351+9b

756-351= 9b

405 = 9b

405/9= b

b = 45cm

Answer:

X=-8,Y=-8.5

Step-by-step explanation:

just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.

Answer:

I think area will me 24 sq unit

AC=6

BD=8

1/2 × 8 × 6 = 24

Answer:

16.2

Step-by-step explanation:

just divide the circumference by 3.14

Answer:

diameter= 16.2338

Step-by-step explanation:

D = C/π

=> D = 51/3.14

D = 16.2338

D = 16.2

Answer:

x = (-7.5,0)

y = (0,5.5)

Step-by-step explanation:

y = the vertical line

x = horizontal line

along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers

hope the helps :))

Answer:

3

Step-by-step explanation:

(-15) + 18 = 3

We can check our answers by adding 15 to 3 when doing inverse operations.

Answer:

3

Step-by-step explanation:

-15 + 18 = 3

Answer:

Tables 3,4 and 5

Step-by-step explanation:

Answer on quizlet.

Answer:

h

Step-by-step explanation:

Answer:

B) − 2/9

Explanation:

[tex]\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}[/tex]

join both fractions

[tex]\hookrightarrow \sf \dfrac{11*-4}{18*11}[/tex]

simplify by multiplying

[tex]\hookrightarrow \sf \dfrac{-44}{198}[/tex]

simplify the following

[tex]\hookrightarrow \sf -\dfrac{2}{9}[/tex]

[tex]\bold{Heya!}[/tex]

[tex]\sf{\frac{11}{18}(-\frac{4}{11})[/tex]

Apply rule :  [tex]\sf{a(-b) = -ab}[/tex]

[tex]\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

[tex]\sf{= -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

Cross - cancel common factor: [tex]\sf{11}[/tex]

[tex]\sf{= -\frac{4}{18}[/tex]

Factor the number: [tex]\sf{4 = 2}[/tex] × [tex]\sf{2}[/tex]

[tex]\sf{= -\frac{2 \: x \: 2}{18}[/tex]

Factor the number: [tex]\sf{ 18 = 2 \: x \: 9}[/tex]

[tex]\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}[/tex]

Cancel common factor: [tex]\sf{2}[/tex]

[tex]\sf{-\frac{2}{9}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

5 pounds

Step-by-step explanation:

5 pounds is 80 ounces, which is greater then 75 ounces.

The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

The loan amount is $5000 with a rate of 6.25% over 60 months.

Then the monthly payment (MP) will be

[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]

Then the formula will be

[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]

P = $5000

r = 0.0052

n = 60

Then we have

[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]

More about the monthly payment link is given below.

https://brainly.com/question/14064255

Answer:

13

Step-by-step explanation:

(24+2)/2 would be the expression.

PEMDAS so first complete the numbers in the Parantheseis:

(24+2)/2 = 26/2

Since there are no exponents or mulitplication, divide:

26/2 = 13

Hope this helps!

slope: 4/5 is a positive slope

The picture below shows some examples of equation with positive slope.

Answer:

rise from left to right

Step-by-step explanation:

Linear equation: [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Positive slope: rise from left to right

[tex]m[/tex] is a positive number

[tex]\textsf{e.g.}\:y=\dfrac45x+4[/tex]

Negative slope: fall from left to right

[tex]m[/tex] is a negative number

[tex]\textsf{e.g.}\:y=-\dfrac45x+4[/tex]

Zero slope: horizontal line

[tex]m=0[/tex]

[tex]\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45[/tex]

Therefore, a horizontal line is [tex]y = a[/tex] (where [tex]a[/tex] is some constant)

Infinite slope: vertical line

[tex]m= \infty[/tex]

[tex]\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

There is no change in x-values for a vertical line, so:

[tex]\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty[/tex]

We also usually call the slope of this line undefined.

Therefore, a vertical line is [tex]x = a[/tex] (where [tex]a[/tex] is some constant)

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

Attached graph:

Positive slope: black line

Negative slope: blue line

Zero slope: green line

Infinite slope: red line

Answer:

D. 50.

Step-by-step explanation:

50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.

Step-by-step explanation:

here

=(81x^12/3x^3)1/3

=(3^4.x^12/3.x^3)1/3

=(3^4-1.x^12-3)1/3

=(3^3×1/3.x^9×1/3)

=3×x^3

Answer:

343.97

Step-by-step explanation:

price of vending machine is 100% = 324.50

100% + 6% sales tax = 106%=1.06

324.50*1.06

343.97

Answer:

1/10

Step-by-step explanation:

(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000

1³ = 1

10³ = 10000

so the answer is 1/10

or think of it like ∛ (1/1000) = 1/10

Answer:

1/2 anwser is B

Step-by-step explanation:

rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?

it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2

Answer:

F. 48.98 m

Step-by-step explanation:

What is circumference?

How does it apply here?

Solving

Step 1: Plug in your values.

Step 2: Simplify.

Therefore, the correct answer is F. 48.98 meters.

Go from right to left in such function questions

a. f(g(x))

⇒ f(4x + 1)

⇒ (4x + 1)² - 2

⇒ 16x² + 8x + 1 - 2

⇒ 16x² + 8x - 1

b. g(f(x))

⇒ g(x² - 2)

⇒ 4(x² - 2) + 1

⇒ 4x² - 7

Answer:

[tex]f[g(x)]=16x^2+8x-1[/tex]

[tex]g[f(x)]=4x^2-7[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^2 - 2[/tex]

[tex]g(x) =4x + 1[/tex]

[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):

[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]

[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):

[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]

[tex]f(x) = y = 2x +3\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~x= 2y+3 \\\\\implies 2y = x-3\\\\\implies y = \dfrac{x-3}2\\\\\implies f^{-1}(x)= \dfrac{x-3}2[/tex]

Answer:

[tex]\Longrightarrow:\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x, from one side of the equation.

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

2(x+10)

2*x=2x

2*10=20

2x+20=x+23

First, subtract by 20 from both sides.

2x+20-20=x+23-20

Solve.

Subtract the numbers from left to right.

23-20=3

2x=x+3

Then, you subtract by x from both sides.

2x-x=x+3-x

Solve.

[tex]\Longrightarrow: \boxed{\sf{x=3}}[/tex]

Answer:

Step-by-step explanation:

In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .

Solution : -

[tex] \longmapsto \: 2(x + 10) = x + 23[/tex]

Step 1 : Solving the parenthesis on left hand side :

[tex]\longmapsto \:2x + 20 = x + 23[/tex]

Step 2 : Subtracting 20 on both sides :

[tex]\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}[/tex]

On further calculations , we get :

[tex]\longmapsto \:2x =x + 3[/tex]

Step 3 : Subtracting x on both sides :

[tex]\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}[/tex]

On further calculations, we get :

[tex]\longmapsto \: \red {\boxed{{x = 3}}}[/tex]

Now , we're verifying our answer by substituting the value of x in given equation :

Therefore, our answer is correct.

Answer:

6

Step-by-step explanation:

10 runners

explanation:

1/4 x 10 = 2 1/2

[tex]r = \frac{Σ(X-X)(Y-Y)}{\sqrt{Σ(X-X)²} \sqrt{(Y-Y)²}}[/tex]

Where, X-mean of X variable

Y - mean of Y variable

Answer:

30.8666666666666...(repeating 6)

Step-by-step explanation:

46.3/1.5=30.8666666666....

Answer:

C. y = 3/x + 1

Step-by-step explanation:

A linear function is, well, a line. The line goes on indefinitely without a stopping point.

In one of these functions, there is a line with a stopping point.

The function y = 3/x + 1 has a point that does not have a value, which is 0. 0 cannot be a value in a denominator. All of the other functions can be expressed at all values.

Graphical proof is attached. The function in green has a discontinuity at x = 0 and therefore is not linear.

Answer:

day 26

Step-by-step explanation:

just multiply the numbers

Answer:

Complete the following statement.Of the three pools described, Model_______ needs the largest amount of water to be completely filled. B A C. 2. See answers.

2 answers

·

1 vote:

Answer: A Step-by-step explanation: It because of The Width and Depth

Missing: ___ ‎____ ‎drew ‎net ‎pyramid,

Step-by-step explanation: