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)


Related Questions

please help i don't know how to do this

Answers

Step-by-step explanation:

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

c = 1

r = -4

done ...

Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46

Answers

Answer:

d

Step-by-step explanation:

Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.

Answers

If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67

The given function is:

[tex]g(x)=x^4-3x^3-x[/tex]

The derivative of the function g(x) is calculated below

[tex]g'(x)=4x^3-9x^2[/tex]

The question indicates that g'(x) = 12

This means that we are going to equate the derivative of g(x) gotten above to 12

[tex]4x^3-9x^2=12[/tex]

Solving the cubic equation above

The only real valid value of x is 2.67

Therefore, the value of x such that g′(x)=12 is x = 2.67

Learn more here: https://brainly.com/question/25754111

How would I go from 22 to 11 in my table?


Divide by 2.


Multiply by 2.


Multiply by 22.


Divide by 22.
WILL MARK BRAINLY

Answers

Answer: divide 2

Step-by-step explanation:

Solve for x.

5 = 2x − 3
(✿◡‿◡)

Answers

Answer: x=4

Step-by-step explanation:

The answer of X would be X=4

Help? Find the exact value.

Answers

That’s the answer for the question

Divide. Write the answer in simplest form.
2/5 divided by 3

Answers

Answer:

Step-by-step explanation:

0.13 repeating

$75 is shared between Amy and Mary in the ratio 2:3. Amy's share would be ?

Answers

amys share would be 45:30 so amys is 45 and marys 30

find the equation with a diameter that has endpoints located at (2,8) and (2,-4)

Answers

Answer:

32.4/-4.6 nearest circumfrence :)

Step-by-step explanation:

hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !


PLEASE HELP! 20 POINTS

What is the x-intercept of the line with this equation -2x+1/2y=18?

Enter your answer in the box
( ,0)​

Answers

Answer:

x - intercept = - 9

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

- 2x + [tex]\frac{1}{2}[/tex] (0) = 18

- 2x + 0 = 18

- 2x = 18 ( divide both sides by - 2 )

x = - 9 or (- 9, 0 ) in coordinate form

Carey creates the table below to help him determine 75% of 36.


75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9

He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?

Answers

Answer:

27 is the answer

Step-by-step explanation:

36/.75=27

can somebody please help me

Answers

Answer:

b

Step-by-step explanation:

(2x-1) (x+3)
Expand

Answers

Answer:

2x^2+5x-3

Step-by-step explanation:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files

Answers

Answer: A = 27 units^2

Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.

A = (w)(l)                                                                                                                     A = (3)(9)                                                                                                                   A = 27 units^2

Is the following acute obtuse or a right triangle

Answers

Answer: Obtuse

Would appreciate brainly <3

It’s going to be an obtuse triangle.

Graph the line with slope 1 passing through the point (2, 4). make an actual graph. help plis ​21 point!

Answers

Answer:

y=x+2

Step-by-step explanation:

since the slope is 1, we have y=x +b. now plug in the point (2,4) to get 4=2+b, b=2, so the graph is y=x+2

help me with this math question pls​

Answers

Answer:

length = 10 cm

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Al ( A is the cross sectional area and l is the length )

Here V = 125 and A = 12.5 , then

125 = 12.5 × l ( divide both sides by 12.5 )

10 = l

The length of the prism is 10 cm

Beth has 6 blue envelopes. She has 2 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does Beth have in all?
PLEASE ANSWER MY LITTLE SISTER DOESN'T TRUST ME WITH THE REAL ANSWER PLSSSSSS

Answers

Answer:

38

Step-by-step explanation:

No. of yellow envelopes she has

= 6-2

= 4

No. of green envelopes she has

= 7×4

= 28

Total number of envelopes she has

= 6+4+28

= 38

find the two numbers such that the sum of the two numbers is 24 and the product of the two nuumbers is 143

Answers

Answer:

11 and 13

Step-by-step explanation:

11 + 13 = 24

11 x 13 = 143

Answer:

119

Step-by-step explanation:

first you have to do 143-24 which is 119 and then just to double check you do 143-119 and you get 119

help me with this problem thank youuup.

Answers

Step-by-step explanation:

it is a linear function, if the change in y is constant in relation to the changes of x.

in other words, if the slope y change/x change is the same for every point.

when we look at the table, we see x changes constantly by +2.

and y changes constantly by -6.

so, the change rate/slope is constantly -6/2 = -3.

and therefore it is a linear function.

the equation looks like (the slope is always the factor of x)

y = -3x + b

b we get by using one of the x,y pairs like 1,4

4 = -3×1 + b = -3 + b

b = 7

so, the full equation is

y = -3x + 7

Step-by-step explanation:

Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:

We must determine whether the given relation or data can be modeled by a linear equation.  It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.

X-coordinates:

Subtracting the x-coordinates provides a constant difference of 2:

Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10):  Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.

If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.

Y-coordinates:

We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.

Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10):  Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.  

If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.

Slope

Since the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3.  Hence, the constant rate of change = -3.

As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.

Therefore, the data can be modeled by a linear equation because the rate of change is constant.

Linear Equation:

In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

4 = (-3)1 + b

4 = -3 + b

Add 3 to both sides to isolate b:

4 + 3 = -3 + 3 + b

7 = b

Therefore, the linear equation that represents the given data is: y = -3x + 7.


please help!!!!!!!!!

Answers

Answer:

reserved tickets = 6 and general admissions tickets = 15

Step-by-step explanation:

[tex]25r + 10g = 150[/tex]

Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.

Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g

[tex]25(0) + 10g = 150 \\ 10g = 150[/tex]

divide both sides by 10

[tex] \frac{10g}{10} = \frac{150}{10} \\ g = 15[/tex]

Now set g equal to zero since he isn't buying any general tickets. Solve for r.

[tex]25r + 10(0) = 150 \\ 25r = 150[/tex]

divide both sides by 25

[tex] \frac{25r}{25} = \frac{150}{25} \\ r = 6[/tex]

X+y=2 x-y=4 solve using elimination

Answers

(3, -1)  Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.

Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?

Answers

Answer:

AB = 11

Step-by-step explanation:

AB = x

BC = x - 4

AC = 6 + BC    Substitute BC

AC = 6 + (x - 4)

AC = 2 + x

The perimeter of the triangle  is 31

Perimeter =  AB + BC + AC  perimeter is the sum of the sides

 31 = (x )+ (x - 4 ) + (2 + x)

  31 = 3x - 2

   33 = 3x

   11 = x

AB = x = 11 inches

Check:  

AB = x  ;    AB = 11

BC = x - 4;  BC = 11 - 4; BC = 7

AC = 2 + x;  AC = 2 + 11; AC = 13      

  P = 11 + 7 + 13

      = 31

1/3 of 12= 2/3 of
how do I do this I've forgotten please help​

Answers

Answer:

6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.

Step-by-step explanation:

Find the total surface area of these solids

Answers

Answer:

#a

This is a cube. Let us find the surface area of the cube now

Surface are of a cube = 6 a²

                                     = 6 × 1.2 × 1.2

                                     = 6 × 1.44

                                     = 8.64 cm²

# b

This is a right trianglular prism.

First you have to find the area of the 2 triangles

Before that,

we have to find the height of the triangle using pythagoras theorem.

Let us solve,

[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]

Now let us find the area of 2 triangles.

[tex]Area =2*\frac{1}{2} *4*3\\[/tex]

[tex]Area =12mm^{2}[/tex]

Now lets find the total area of 3 rectangles.

( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )

28 mm² + 35 mm² +21 mm²

= 84 mm²

And now lets find the total surface area of this solid.

12 mm² + 84 mm²

= 96 mm²

Hope this helps you.

Let me know if you have any other questions :-)

a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d

Answers

Answer:

c= - 4, d = 7

Step-by-step explanation:

Given function:

y = x² + cx + d

The vertex is (2, 3)

We know the vertex form:

y = (x - h)² + k, where (h, k) is vertex

Substitute coordinates to get:

y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7

Compare with given to find out:

c = - 4, d = 7

50 points if you get this right

Answers

Answer:

"A plane does not extend infinitely"

Step-by-step explanation:

Please help me with this question! It's a writing question.

Answers

Answer:

That he made a medicine that reduces coughing

Step-by-step explanation:

(a−2b)3 when a=−3 and b=−12
help plsss

(the three is an exponent)

Answers

Answer:

9261

Step-by-step explanation:

Substitute -3 for a and -12 for b in (a - 2b)^3:

(-3 - 2·-12)^3, or

(-3 + 24)^3, or

21^3 = 9261 (answer)

PLZ HELP DUE SOOOONNNN (solve for z).

Answers

Answer:

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Step-by-step explanation:

Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :

The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:

[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]

[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]

4x = 3yz²

Next, divide both sides by 3y:

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]

Lastly, take the square root of both sides to isolate the variable, z :

[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Therefore, the equation for z is:   [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

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