A right cylinder is sliced perpendicular to its base.
What is the shape of the resulting two-dimensional cross section?

A. Triangle
B. Trapezoid
C. Circle
D. Rectangle

Using a system of equations, it is found that Kayla will pay $54.25 for 5 adult tickets and 4 children tickets.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Amy bought 2 adult tickets and 4 children tickets for $35.50, hence:

2x + 4y = 35.50

x + 2y = 17.75

x = 17.75 - 2y

Jane bought 3 adult tickets and 3 children tickets for $36.0, hence:

3x + 3y = 36

x + y = 12

From the first equation:

17.75 - 2y + y = 12

y = 5.75.

x = 17.75 - 2 x 5.75 = 6.25.

Hence the total paid for Kayla is given by:

T = 5 x 6.25 + 4 x 5.75 = $54.25.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

15.45

Step-by-step explanation:

103x0.15=15.45

Answer:

Do 103 times 0.15 and you get 15.45

Step-by-step explanation:

10 packages

First find the perimeter

perimeter = 2 × (length+width)

2 × (20 + 40)

2 × 60 = 120

4 yards = 12 feet

120 ÷ 12 = 10 packages

Answer:

18

Step-by-step explanation:

3x + 28 = 46

Subtract 28 from each side

3x + 28 = 46

3x+28-28 = 46-28

3x=18

Divide each side by 3

3x/3 = 18/3

x = 6

Find 2x+6

2(6)+6

12+6

18

Hey there!

3x + 28 = 46

SUBTRACT 28 to BOTH SIDES

3x + 28 - 28 = 46 - 28

CANCEL out d 28 - 28 because it give you 0

KEEPs 46 - 28 because it help solve for the x-value.

NEW EQUATION: 3x = 46 - 28

SIMPLIFY IT!

3x = 18

DIVIDE 3 to BOTH SIDES

3x/3 = 18/3

CANCEL out: 3/3 because it give you 1

KEEP: 18/3 because it give you the x-value.

NEW EQUATION: x = 18/3

SIMPLIFY IT!

x = 6

Now that we have your x-value we can substitute it into the equation of: 2x + 6

SIMPLIFYING:

2x + 6

= 2(6) + 6

= 12 + 6

= 18

Thus, your answer is: 18

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

No.

Step-by-step explanation:

Let's substitute the given coordinate pair into each inequality:

[tex]y > 2x+6\\-4 > 2(-5)+6\\-4 > -10+6\\-4 > -4\rightarrow\text{Not true!}[/tex]

Since this coordinate pair does not satisfy the inequality (note the coordinate pair must satisfy BOTH inequalities), therefore (-5, -4) is not a solution to this system of inequalities.

Answer:

4+2b=5+5b+20

<=> -3b=21

<=> b=-7

Step-by-step explanation:

<=> 4+2b=5+5b+5×4

<=> 4+2b=5+5b+20

<=> 2b-5b=5-4+20

<=> -3b=21

<=> b=-21/3

<=> b=-7

Answer:

James should have gotten 37 as his estimate

Answer:

C

Step-by-step explanation:

Answer:

9/4

Step-by-step explanation:

goodluk

Answer:

9/4

Step-by-step explanation:

Step-by-step explanation:

The range of the original is the domain of an inverse function, and the domain of an inverse function is the range of an original. Since the original equation/function f(x) = x^2 is a parabola with vertex at (0, 0) and opening downward.

I HOPE IT HELPS YOU

Answer:

ok lets just solve each and see if its larger then 35

A) 5.94 × 6=35.64

B) 6.18 × 6=37.08

C) 7.03 × 5=35.15

D) 8.12 × 4=32.48

A,B&C

Hope This Helps!!!

Answer

Everyone except D

A's total is 35.64=Yes

B's total is 37.08=Yes

C's total is 35.15=Yes

D's total is 32.48=no so d is incorrect/

So your answers are A  B  C

Hope it helps have a great day

Answer:

38°

Step-by-step explanation:

Complimentary angles add up to 90°, so simply subtract 52 from 90 and you have your answer! ^^

Answer:

V = 8

Step-by-step explanation:

Answer:

(C) multiplication property of equality

Step-by-step explanation:

Answer: C. multiplication property of equality

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!!

-2 < x/3 + 1 < 5

Subtract 1 from each side:

-2 - 1 < x/3 + 1 - 1 < 5 - 1

-3 < x/3 < 4

Multiply each side by 3:

-3 • 3 < x/3 • 3 < 4 • 3

-9 < x < 12

Answer:

Step-by-step explanation:

Given

(u/v)(x) =

Correct option is C

Answer:

1. 800,000 cm

2. 0.00005 km

Step-by-step explanation:

1. 1 km = 100,000 cm

8 km = 800,000 cm

2. 1 cm = 1/100,000 km

5cm = 0.00005 km

Answer:

-5

Step-by-step explanation:

Since you are given [tex]g(x)[/tex] and what x is equal to (in this case, -3), all you have to do is plug the x back into the original equation.

[tex]g(x) = -3 - 2 = -5[/tex]

Answer:

Slope=2

Hope this helps

p=3829.39

ur welcome

Answer:

p = 10

Step-by-step explanation:

10p - 3 = 2(12 + 4p) - 7

First, distribute within the parenthesis

10p - 3 = 24 + 8p - 7

Combine like terms

10p - 3 = 17 + 8p

Subtract 8p from both sides of the equation

2p - 3 = 17

Add 3 to both sides of the equation

2p = 20

Divide both sides by 2 to get your answer:

p = 10

I hope this helps :)

Answer:

30

Step-by-step explanation:

y = kx

k= y/x

k= 45/5

k= 9

Therefore the value of x can be calculated as follows

k= y/x

x= y/k

x= 270/9

x= 30

Answer:

[tex]\displaystyle Inconsistency\:[No\:Solution][/tex]

Step-by-step explanation:

We need to isolate one pair of variables so they are set to zero. Now, in this case, we need to split one of the equations in negative half, so we will select the second equation:

[tex]\displaystyle \left \{ {{3x - 2y = 8} \atop {6x - 4y = 12}} \right. \\ \\ \\ \left \{ {{3x - 2y = 8} \atop {-\frac{1}{2}[6x - 4y = 12]}} \right. \\ \\ \left \{ {{3x - 2y = 8} \atop {-3x + 2y = -6}} \right. \\ \\ \\ \boxed{0 \ne 2}[/tex]

The fact that we have a result like this proves that we cannot obtain a solution from this system, which means that on a graph, these equations are considered parallel [no intersection, so no solution].

I am joyous to assist you at any time.

Answer:

The area of the rectangle is [tex]A=12b^6+6b^3-18b^2[/tex]

Step-by-step explanation:

Area of a rectangle

A rectangle of height H and width W has an area of:

[tex]A=H*W[/tex]

The rectangle shown in the figure has a height of:

[tex]H=3b^2[/tex]

And a width of

[tex]W=4b^4+2b-6[/tex]

The area is

[tex]A=(3b^2)(4b^4+2b-6)[/tex]

Operating:

[tex]A=(3b^2)*4b^4+(3b^2)*2b-(3b^2)6[/tex]

[tex]A=12b^6+6b^3-18b^2[/tex]

The area of the rectangle is [tex]A=12b^6+6b^3-18b^2[/tex]

4 balls in each group.

Step-by-step explanation:

you just divide 20 by 5, or add 5 times until you get 20.

Answer:

5 group of 4 balls

Step-by-step explanation:

Red balls : 20

5 Gym baskets

20 - 5      15

15 divided by 5    3

3 divided by 20     0.15

0.15 divided by 5     0.03

0.03 x 15   0.45

0.45 x 55 24.75

24.75 - 4.75    20

20 divided by 5   4

Answer is 4

BRAINLIEST PLS

Answer:

94

I don't really have much else to say but I need 20 characters so y'know :/

Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of ₫ 145.

So after completing the 1st week she will get ₫ (x+145).

Similarly after completing the 2nd week she will get ₫ (x + 145) + ₫ 145.

=[tex] ₫ (x + 145 + 145)[/tex]

= [tex]₫ (x + 290)[/tex]

So in this way end of every week her salary will increase by ₫ 145.

Answer:

if you got paid seven bucks per lawn, and you mowed nine lawns, you'd have $63 dollars

if you were to mow them for 9 dollars a lawn...

$63 = 9x

63/9 = 7

youd have to mow 7 lawns to get the same amount of money

Step-by-step explanation: