Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation written in standard form represents the number of tickets bought, t, and the number of buckets of popcorn bought, p?

12p + 7t = 62
7p + 12t = 62
12p = 62 – 7t
7p = 62 – 12t

Answer:

2

Step-by-step explanation:

I think the correct answer would be 2

Answer:

y = -3

Step-by-step explanation:

4x – 3y = 17

x = 2

4(2) - 3y = 17

8 - 3y = 17

-3y = 9

y = -3

Answer:

y= -3

Step-by-step explanation:

if x =2, substitute

4(2) - 3y = 17

8-3y = 17

(add 3y to both sides)

8= 17 + 3y

(subtract 17 from both sides)

8-17=3y

-9= 3y

(divide both sides by 3)

-9/3=y

y= -3

Answer:

Percent markup is 200%

Step-by-step explanation:

The cost of each stylus is

[tex]\frac{400}{200} = 2[/tex] dollars

The selling price of each stylus is $6

Percent markup  =

(Selling price - cost price)/cost price *100

[tex]\frac{6-2}{2} *100\\2*100\\200[/tex]%

Percent markup is 200%

Answer:

x=2, x=a

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

Answer:

Im pretty sure its 18.

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:

[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]

To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866

What is the value of this expression when c = -4 and d = 10 ? [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) where c = -4 and d = 10

The value of the expression [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) [Given expression]

Now, putting the value of c = -4 and d = 10 , we get,

[tex] \frac{1}{4} [/tex] { (-4)³ + (10)² }

[tex] \frac{1}{4} [/tex] ( -64 + 100 )

[tex] \frac{1}{4} [/tex] ( 36 )

[tex] \frac{1}{4} [/tex] × 36

[tex] \bf = \: 9 \: ( Answer ) [/tex]

Answer:

[tex]\angle c[/tex] and [tex]\angle e[/tex]

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Using the keynote as a reference, we have the following observation from the attachment:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are opposite

[tex]\angle c[/tex] and [tex]\angle e[/tex] are congruent

Hence:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are vertical

(d) is correct

Answer:

1/3

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur

Probability = Expected/Total outcome

Since the experiment requires rolling a dice

S = {1, 2, 3, 4, 5, 6}

Total outcome n(S) = 6

Number greater than 4 are;

Events E = {5,6}

Expected outcome n(E) = 2

Probability of rolling a number greater then 4 = 2/6

Probability of rolling a number greater then 4 = 1/3

Step-by-step explanation:

n/6 > 2

x6. x6

n > 12

hope this helps

Answer:

$57,000

Step-by-step explanation:

Answer:

6.4 mins

Step-by-step explanation:

Answer:

⇒ 5/2 min

Step-by-step explanation:

Hong sing total song = 4

Every song takes time = 5/8min

4 song total takes

time = 4×5/8= 20/8

5/2 min

hope it helps..

have a great day!!

Answer:

You were right the correct option is

- a > - b

Answer:

hi

Step-by-step explanation:

whatup its bruce i am still deeply in love with you

Answer:

-10 would be correct

Step-by-step explanation:

-10

Answer:

m = rise/run = 270/20.5 = 13.17

Step-by-step explanation:

Going from (9, 260) to (29.5, 530), we see that the horizontal change (in x) is 20.5 and the vertical change (in y) is 270.  Thus, the slope is

m = rise/run = 270/20.5 = 13.17

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

[tex]Height = 7in[/tex]

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

[tex]a = 1in[/tex] -- side length of the octagon

The area is then calculated as:

[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]

So, we have:

[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]

[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]

[tex]Area = 2 * (1 + \sqrt 2)[/tex]

Evaluate the square root

[tex]Area = 2 * (1 + 1.414)[/tex]

[tex]Area = 2 * (2.414)[/tex]

[tex]Area = 4.828[/tex]

The volume is then calculated as:

[tex]Volume = Height * Base\ Area[/tex]

[tex]Volume = 7 * 4.828[/tex]

[tex]Volume = 33.796[/tex]

Answer:

287 is the right answer

Step-by-step explanation:

Hopes this helps.

Answer:

5x>60

x>60/5

x>12

number line

hope it helps.

Answer:

B

Step-by-step explanation:

Hope this helps : )

Answer: I have been asked the same question I believe that it is obtuse and isosceles.

Step-by-step explanation: Well a triangle with 1 obtuse angle means it is an obtuse triangle but a triangle with 2 congruent means it is an isosceles triangle.

This angle is isosceles as well as obtuse.

What is an isosceles triangle?

Isosceles triangle is a triangle that has two equal sides.

What is an obtuse-angled triangle?

An obtuse-angled triangle is a triangle that consists of an interior angle of more than a right-angle (90)°.

As this triangle has two congruent side, it is an isosceles triangle.

Similarly, it has one obtuse angle. Therefore, this triangle is an obtuse-angled triangle.

Hence, for this triangle, B. Isosceles C. Obtuse both apply.

Learn more about isosceles and obtuse-angled triangle here: https://brainly.com/question/9872652

#Tag #SPJ2

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms

r = [tex]\frac{384}{512}[/tex] = [tex]\frac{288}{384}[/tex] = [tex]\frac{216}{288}[/tex] = [tex]\frac{3}{4}[/tex] , then recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] × [tex]\frac{3}{4}[/tex] : a₁ = 512

Answer:

I believe it has infinite solutions

Step-by-step explanation:

Answer:

71.43%

Step-by-step explanation:

2500/35 = 71.43

Aranibar's savings went up by 71.43%

Answer:

hope this helps you out good luck with your math

Answer:  5(13.5-4.5)

5(9)

=45

Answer:

[tex]512\pi[/tex]

use the formula