Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 12 vans and 6 buses with 306 students. High School B rented and filled 12 vans and 9 buses with 369 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

Answer:

1) 3/4

2) 7/20

3) 6/25

Step-by-step explanation:

1) 0.75

= 75/100

= 3/4

2) 0.35

= 35/100

= 7/20

3) 0.24

= 24/100

= 6/25

Hope it helps!

Answer:

f(3)=64

Step-by-step explanation:

f(3)=(1/8)(8 cubed)

f(3)= 8 to the negative one times 8 cubed

f(3)= 8 squared

f(3)=64

Answer:

f(3) = 64

Step-by-step explanation:

In this question, you would plug in "3" to "x" and solve.

Solve:

f(3) = (1/8)(8³)

f(3) = (1/8)(8·8·8)

f(3) = (1/8)(512)

f(3) = 512/8

Simplify.

f(3) = 64

Your final answer would be f(3) = 64

Answer:

The 1st, 4th, and 5th

Step-by-step explanation:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Answer:

[tex]1\frac{1}{2}[/tex]

Answer:

when u divide u get 1.5

Step-by-step explanation:

1.5 is the same thing as "one and five-tenths," or "one and five over ten, or one and half," which is written as 112 as a fraction.

Answer:

What question are you referring to? a question references question 5 and 6 which aren't displayed.

Postulate/theorem = SAS postulate

Given :

Since 2 sides and an included angle is equal in these two triangle, they are said to be congruent under the SAS congruence postulate.

Postulate/theorem = ASA postulate

Given :

In triangle KDS and triangle KWS :

Since 2 angles and an included side is equal in these two triangles, they are said to be congruent under the ASA congruence postulate.

Postulate/theorem = AAS theorem

Given :

In triangle ACB and triangle BED :

Since two angles and one side is equal in these two triangles, they are said to be congruent under the AAS theorem.

Answer:

Step-by-step explanation:

y = (1.066)x

The equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

The sales tax is the amount charged on the price of goods and services.

Let x be the original cost for the meal

Let y be the cost after the sales

If the sales tax rate in Tyler's county is 6.6%, the tax charged is expressed as:

0.066 of theoriginal cost
0.066x

Cost after tax = original cost + tax
Cost after tax = x + 0.066x
y = 1.066x

Hence the equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

Learn more on tax here: https://brainly.com/question/9625982

Answer:

Step-by-step explanation:

current rate = $729/(45 hours) = $16.20/hour

increased salary = 1.10×$729 = $801.90

decreased hours = 0.90×45 = 40.5

increased rate = $801.90/(40.5 hours) = $19.80/hour

increase in rate = $19.80/hour - $16.20/hour = $3.60/hour

Answer:

AA similarity postulate

Hope this helps you. Do mark me as brainly.

Answer:

im pretty sure its c

Step-by-step explanation:

Answer:

None, the sum of those angles does not equal 180 degrees

Answer:

The answer of this question is none. The sum of these three angles is 160°. So, none of the triangles can be constructed with angles measuring 60°, 60° and 40°

The sum of three angles is 160°

so, none of the traingle can be constructed with angles measuring 60°,60°and 40°.

Step-by-step explanation:

Hope it is helpful....

The answer is,

[tex]x > - 7[/tex]

hope it helps.

Answer:

x>-7

Step-by-step explanation:

4x-2x>-8-6

-2x>-14

x>-7

Answer:

41

Step-by-step explanation:

Answer:

popvana used struggle

Step-by-step explanation:

Answer:

P =  24

After 24h will be 108p

Each c is 6m

12 laps

Step-by-step explanation:

36 - 33 = 3

33 - 30 = 3

30 - 27 = 3

27 - 3 = 24

12h = 36p

12h × 3 = 36h

So 36p need to × 3 too

36p × 3 108p

Because 3c to 5c, 18m to 30m need 12m. There was no 4c so the 12m need to  divide two. 12m ÷ 2 = 6m.

So each c is 6.

72 ÷ 6 = 12

The six is from the last question.

Answer:

14x +8

Step-by-step explanation:

9x -7 + 5x +15

9x +5x -7 +15

Answer:

bbbdbrhrhfhdbfhfhchchfhffh

Answer:

Maximum value equals 1/2

Minimum value equals -1/2

Step-by-step explanation:

The Sin Function when Graphed Shows a Range of [-1 , 1]

apply that on y=1/2 sin2x

y = 1/2 * 1 = 1

y = 1/2 * -1 = -1

so y = 1/2 , -1/2 .

dy/dx = 2 * 1/2 * cos2x

put dy/dx=0

cos2x=0

x= 45, x=135

Apply x values on y=1/2 sin2x

y = 1/2 , -1/2 .

Hope you understand it ^^.

Answer: A

Step-by-step explanation:

Answer:

8 is 73 corresponding and 9 is 107 supplementary

Step-by-step explanation:

Answer:

[tex]1\ Lt = \pounds 1.157[/tex]

Step-by-step explanation:

Given

[tex]\pounds 1 = 0.864\ Lt[/tex]

Required

Determine the worth of 1 Lt

[tex]\pounds 1 = 0.864\ Lt[/tex]

Divide both sides by 0.864

[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]

[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]

[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]

[tex]1\ Lt = \pounds 1.157[/tex] --  approximated

Answer:

1

Step-by-step explanation:

Hope this helps and have a great day!!!!!

Answer:18

Step-by-step explanation:

Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.

Taking a look at the examples again,

Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1

Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3

Answer:

Equation: y = 2x

Graph: see attachment

Step-by-step explanation:

Pieces of paper = x

Number of Valentines = y

The equation is a proportional equation and can be represented as y = kx

k is the constant of proportionality

k = y/x

Using (2, 4),

k = 4/2 = 2

To find the equation, substitute k = 2 into y = kx

Thus:

y = 2x

The graph has been plotted and attached below.

Answer:

-6/3 is a rational

Step-by-step explanation:

its a rational because it expresses as the ratio of two integers.

Answer:

Step-by-step explanation:

the factors of 9 are 1,3,9

Answer:

1, 3, 9

[tex] \\ \\ \\ \\ [/tex]

Answer:

[tex]1 \frac{1}{3}[/tex]

Step-by-step explanation:

rate of change = Δy / Δx = y2 - y1/x2 - x1

                                         = -3 - 5/-6 - 0

                                         = - 8/-6

                                         = 1 and 1/3rd

Answer:

Perpendicular to base

Step-by-step explanation:

The cut creates two rectangular prisms (each angle must be 90 degrees)

The cut is perpendicular to the base

Answer:

31333.75cm³

Step-by-step explanation:

Volume = πr²h

= 3.14 × (46.45/2)² × 18.5 = 31333.75cm³

Answer:

The value of x is 3.

Step-by-step explanation:

The steps are :

4.5 = 1.5x

4.5 ÷ 1.5 = 1.5x ÷ 1.5

3 = x