A group of adults and kids went to see a movie. Tickets cost $8 each for adults and $5 each for kids. The group paid $59 in total. There were 10 people in the group.
Find the number of adults and kids in the group.



A
2 adults and 8 kids
B
3 adults and 7 kids
C
4 adults and 6 kids
D
5 adults and 5 kids

Answers

Answer 1
The answer is Letter B.
Answer 2
Answer:
(B) 3 Adults and 7 Kids
Explanation:
The first thing we have to do is define variables:
X = adult
Y = kids
Next we will create equations for the information given:
8X + 5Y = 59
X + Y = 10
So to determine the answer we must combine the equations.
X = 10 - Y
8(10 - Y) + 5Y = 59
Distribute the 8
80 -8Y + 5Y = 59
Move the 80 to the other side and combined like terms
-3Y = -21
Divide by -3
Y = 7
Plug Y into an original equation
X + 7 = 10
Subtract 7
X = 3
Double check by plugging both variables into the other original equation
8(3) + 5(7) = 59
24 + 35 = 59
59 = 59
Therefore, there are 3 adults and 7 kids. (B)


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Answer:

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Step-by-step explanation:

(8 + 4) / 2 - 3

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Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?

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Answer:

5 /12

Step-by-step explanation:

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Answers

Suppose that one of sides is x :

Area = x²

thus :

[tex]146.41 = {x}^{2} [/tex]

[tex]x = \sqrt{146.41} [/tex]

[tex]x = 12.1[/tex]

_____________________________________________

Perimeter = 4x

[tex]p = 4 \times 12.1[/tex]

[tex]p = 48.4[/tex]

The Perimeter of Square is 48.4 m.

What is Area and Perimeter of Square?

The Area of square is the product of the side.

Area of Square = side x side

and, The Perimeter of Square is 4 times the side of square

Perimeter of Square = 4 x side

Given:

Area of Square = 146.41 m²

Now, Area of Square = side x side

Area of Square  = side²

side² = 146.41 m²

side = √146.41 m²

side = 12.1 m

Now, the Perimeter of Square = 4 x side

                                                   = 4 x 12.1

                                                   = 48.4 m.

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max has x dollars. Keisha has four more dollars then max

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Answer:

4x

Step-by-step explanation:

Simply add 4 and x, and that is 4x.

CAN SOMEONE HELP ME PLEASE ASAP!

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Answer:

The correct answer is approximately 20 ft !

Please mark me brainliest if you are able to do it :)

the answer is 20,336 ft

6,200 mm is 6,2 m and you multiply it with 3,28 feet then you get the answer.

A regular polygon has an exterior angle of 40
°

Work out the number of sides of the polygon.​

Answers

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

Find the y-intercept and then write the linear equation for the line passing
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Answers

Answer:

Y-intercept: -3

Equation: y = -2/3x -3

Step-by-step explanation:

Slope intercept equation: y = mx + b, m is the slope and b is the y-intercept

Substitute m with -2/3, your equation should now be y = -2/3x + b

To find the y-intercept, plug in the point (-12,5) and solve for b.

1. 5 = -2/3(-12) + b

2. 5 = 8 + b

3. b = 8 - 5

4. b = 3

In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both

a.create a veen diagram represent the problem​

Answers

Answer:

See below

Step-by-step explanation:

Given:

Total number is 100Biking = 58Motorcycling = 42Both = 18

Biking only:

58 - 18 = 40

Motorcycling only:

42 - 18 = 24

Neither:

100 - (40 + 18 + 24) = 18

Venn diagram consists of:

Biking |  Both (Intersection) | Motorcycling  |  Neither (outside of circles)

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The polynomial f(2) = 2? + 432 - 594 is a parabola. The parabola's x-intercepts are (11, 0) and (-54, 0). Give the factored form of the
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Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

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Answer:

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Step-by-step explanation:

Find the side length of the triangle 4x+8=3x+12

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Answer:

I think it might be 4.

Step-by-step explanation:

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Write an equation to represent the total cost for printing the shirts.

Question 1 options:

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C = 21t + 40


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Answers

For the question in the photo:
y = 2.50x + 7.50

Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10

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For the drama club one:

C = 21t + 40

Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
Answer:

C = 21t + 40

Explanation:
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Answers

x + 4 - 3 = 1

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x = 0

Answer:

x = 8

Step-by-step explanation:

√x + 4 - 3 = 1

1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3

2) Simplify the right side: √x + 4 = 4

3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16

4) Move the constant term to the other side: x + 4 = 16 – 4

5) Simplify the right side: x + 4 = 12

6) Move constant side to the other side: x = 12 – 4

7) Finally, after simplifying the right side again, you get: x = 8

Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.

How do you solve (x+4)2 ?

Answers

Answer:

Simplify the expression.

x2+8x+16

Step-by-step explanation:

Order the numbers 0.64, 2/3, 65%, and 7/10 from least to greatest.
(Please explain how you did it too-)

Answers

Answer:

the order is 0.64, 65%, 2/3, and 7/10

Step-by-step explanation:

because 2/3=0.66666, 65%=0.65, 7/10=0.7

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To Prove:-

JK=IJ

JK= ½IK = IJ= ½IK

JK= IJ(Equal Distance)

GK//HI (Parallel)

Therefore, JK congruent IJ

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How many times larger is 8 X 10^5 than 2 X 10^3

Answers

Answer:

798,000

Step-by-step explanation:

Simplify all the exponents

8×10^5

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=800,000

2×10^3

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Answer:

x = 8

Step-by-step explanation:

To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.

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Answers

Answer:

The answer will be 12 students. 12 students must transfer from Class Y to Class X so that both classes have equal number of students.

Step-by-step explanation:

Since the ratio is 2 : 5, we would multiply both number to 8 and get 16 : 40.

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Someone help me please. I don't just want the answer, I need an explanation on how it's done too.​

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Answer:

Below.

Step-by-step explanation:

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The (a+ b)^2 can be taken out to give:

= (a + b)^2(a + b - 4)

= (a + b)(a + b)(a + b - 4).

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=  3x( x - y) + 6(x - y)

= (3x + 6)(x - y)

= 3(x + 2)(x - y).

h) (6a - 5b)(c - d) + (3a + 4b)(d - c)

=  (6a - 5b)(c - d) + (-3a - 4b)(c - d)

= -(c - d)(6a - 5b)(3a + 4b).

i)  -3d(-9a - 2b) + 2c (9a + 2b)

= 3d(9a + 2b) + 2c (9a + 2b)

=  3d(9a + 2b) + 2c (9a + 2b).

= (3d + 2c)(9a + 2b).

j)  a^2b^3(2a + 1) - 6ab^2(-1 - 2a)

=  a^2b^3(2a + 1) + 6ab^2(2a + 1)

= (2a + 1)( a^2b^3 + 6ab^2)

The GCF of a^2b^3 and  6ab^2 is ab^2, so we have:

(2a + 1)ab^2(ab + 6)

= ab^2(ab + 6)(2a + 1).

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(3x + 4)(5x − 2)

Answers

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

A fourth of the product of 13 and a number M

Answers

Answer:

[tex]\frac{13m}{4}[/tex]

Step-by-step explanation:

"the product of 13 and a number M" should be written as 13m.

To get a fourth of the produce we would need to divide it by four.

A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .

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4(t²-5t) + 3u³ when t=4 and u=5?

ASAP

Answers

The answer to this equation will be 359

Answer:   359

Step-by-step explanation:

4(t²-5t) + 3u³   plug in the t and u

= 4[4²-5(4)] + 3(5)³

= 359

Which of the following properties could be used to rewrite the expression (2/3 . 1/5) . 5/2 as 2/3 . (5/2 . 1/5)
a. The commutative property used twice
b. The associative property followed by the commutative property
c. The commutative property followed by the associative property
d. The associative property used once​

Answers

Answer:B

Step-by-step explanation:

What is the constant rate of change for this equation y = 1/9x-20 ?​

Answers

Answer:

like:-

1/9x20 = 2 2/9

1/9-20 = 19 8/9

Step-by-step explanation:

I'm not sure

Answer: The constant rate change would be [tex]\frac{1}{9}[/tex].

Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]

Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20

Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].

Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].

Lastly plug in all the components.

[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]

After solving all this the answer would be [tex]\frac{1}{9}[/tex]

5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

Can you give 50 cent in 8 dollars to 17 people

Answers

No you cannot only 16 people

y=-2x + 7
y = 5х – 7
Find the solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

y = -2x + 7 y = 5х – 7

If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.

=> -2x + 7 = 5х – 7

=> 7x = 14

=> x = 2

Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.

=> y = 5х – 7

=> y = 5(2) - 7

=> y = 10 - 7

=> y = 3

Hoped this helped.