Identify the constant of proportionality.

Answer:

You sold 20 student tickets.

Step-by-step explanation:

Given that:

Total tickets sold = 27

Total amount collected = $170

Cost of student ticket = $5

Cost of adult ticket = $10

Let,

x be the number of students tickets sold

y be the number of adult tickets sold

x+y = 27          Eqn 1

5x+10y=170     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=27)

10x+10y=270     Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(5x+10y)=270-170

10x+10y-5x-10y=100

5x=100

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]

Hence,

You sold 20 student tickets.

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

Answer:

10

Step-by-step explanation:

16/20=8/10

16/2=8

20/2=10

16 pearls/20opals=8perals/10opals

Answer:

80

Step-by-step explanation:

90/100*x=72

9/10*x=72

x=72*10/9

x=80

Answer:

A

Step-by-step explanation:

2 times 2 = 4

7 times 7 = 49

2/7 = 4/49

Hope this helps!!!

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

Answer: x=68, y=37

Step-by-step explanation:

The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.

2y-6+y=105

3y-6=105

3y=111

y=37

Then you would plug in the y to one of the equations. I will do the second one but you can do either one.

x=2y-6

x=2*37-6

x=74-6

x=68

Answer:

2320000

Step-by-step explanation

work out the perimeter first 6+4 times 2= 20

20 time 2m high=40

40 times 58000= 2320000

Answer:

N=CD C=2-3 sentance

Step-by-step explanation:

You show the time on the x-axes (from 0 to 35) and the distance on the y-axes (from 0 to 10).

You start at origin of coordinates. Then the graph rises linear until it reaches the point (20|3.3333...), then it is parallel to the x-axes (as he does not move) until it reaches (25|3.3333...). Then it increases again until it reaches (35|10).

Basically, it's linear all the time, while the slope of the graph varies in three different intervals. (Actually it wouldn't be linear as he doesn't move with the same speed all the time but we can't go more into detail based on the information we have, so we use average values.)

You can use the rule of three to find out how far he moves.

Step-by-step explanation:

y is 130° too because it's an alternative angle love

Answer:

X=130

Y=130

Step-by-step explanation:

I know this because x is the same as 130 and the congruent angle is the same as well.  Hope this helps

Answer:

c

Step-by-step explanation:

Answer:

C. yes because BC/ST = AC/RT

Hope This Helps!

Answer:

Slope: -45

Y-intercept: -2

Step-by-step explanation:

The expression is written in slope-intercept form or y=mx+b.

mx is the slope and b is the slope intercept

Answer:

B

Step-by-step explanation:

Answer:

What are the answers?

Step-by-step explanation:

Answer:

[tex]\frac{5}{6}[/tex] cups

Step-by-step explanation:

Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.

1 [tex]\frac{1}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt

[tex]\frac{3}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt

2[tex]\frac{1}{2}[/tex] cookies --- ? cup plain yogurt

[tex]\frac{5}{2}[/tex] cookies --- [tex]\frac{5}{3}[/tex] × [tex]\frac{1}{2}[/tex] cup plain yogurt = [tex]\frac{5}{6}[/tex] cups plain yogurt

Answer: 9

Step-by-step explanation:

Since x=2 that means there should be 2 3s being multiplied since it’s 3 to the second power. So 3x3 which equals 9. If this answer helped please mark it brainliest!

Answer:

the last option, 9

Step-by-step explanation:

if x=2 then you would just plug x into the equation to get:

y=3^2 or 3 squared and that's just:

3x3 which is

9

So your answer would be 9

I hope this helps! blessings, have a lovely day/night, xo, nm :) <3

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ5

The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

Answer:

Infinitely many

Step-by-step explanation:

Add 5 to both sides and subtract 3x on both sides. that results in 0=0. if the numbers are the same, than its infinitely many.

Answer:

0=0

Step-by-step explanation:

3x-5=-5+3x

0=0

The number of people that travel commercially each year is  7.8 x 10^8.

The number of people that travel commercially each year is represented in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

In order to determine the number of people who flew commercially each year, multiply the number of people who flew each month by 12.

Number of people who fly commercially each year = 6.5x10^7 x 12

= 78 x 10^7

= 7.8 x 10^8

To learn more about scientific notation, please check: https://brainly.com/question/5756316

#SPJ1

Answer:

38 ft

Step-by-step explanation:

:)

Answer:

32ft

Step-by-step explanation:

Multiply 8 by 3 to get the area of the rectangle. Multiply 4 by 4 and then divide by two to get the area of the triangle.

Finally add them together to get 32ft

Answer:

C) choosing a blue, green or yellow marble.

Step-by-step explanation:

The Complement of choosing a red marble means choosing any other marble that isn't red.

From the question , it was said that there were a blue , green, yellow and red marble.

So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.

Answer:

c

Step-by-step explanation:

Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y=8x-12[/tex]

Step-by-step explanation:

Given the equation

[tex]y=8x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4 = 8 (x-2)[/tex]

[tex]y-4 = 8x-16[/tex]

[tex]y = 8x-16+4[/tex]

[tex]y=8x-12[/tex]

Answer/Step-by-step explanation:

✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.

✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.

From the graph, when y = 12, x = 16.

This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.

Therefore:

If the plants grew 12 mm one season, 16 cm rainfall fell.

Answer:

Mary have £ 0.7

and Eleanor 1.05

because

Mary 10/ 10 +15 × 1.75= .7

Eleanor 15 /10+15× 1.75 =1.05

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Answer: A

Step-by-step explanation:

12 and 16

Answer:

Carina made an error in the beginning.

Step-by-step explanation:

Carina didn't do the inverse operation of adding 3.40. She added it to the 5.27 when she shouldve subtracted it. x=2.2 lbs. Hope this helps!

Anwser ( C )

C: Carina should have divided 8.67 by 0.85.

Took the test. Hope this helps

Answer:

1.23

Step-by-step explanation:

27/22 = 1.227 --> 1.23 (7>5 so the number rounds up)