Question 2 (1 point)
If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18?

Answers

Answer 1

Answer:

18/4

Step-by-step explanation:

If y varies directly as x then the equation is y = kx

If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4

The value of y when x = 18 is,

y = k *&x

  = (1/4) * 18

  = 18/4

then the equation is y = 18/4


Related Questions

At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.

Answers

The equations would be:
y=9x +50
y=10x

reduce 287/861 to the simplest term in fractions

Answers

Answer:

1/3

hope this helps

have a good day :)

Step-by-step explanation:

1. Calculate the volume of the rectangular prism. Answers are in cubic
millimeters.
4 mm height
17 mm width
9 mm length

Answers

30 is the answer i think

Answer:

The answer is 612

I just need someone to help me with this, I will give brainilist I just need someone to put these numbers in the correct order!!!!!!!

Answers

Answer: I think it’s C

Answer:

A is the correct answer to this problem.

Given that Δ C A T ≅ Δ D O G, select all statements that must be true

Answers

the answwe is going to be a d and e

6 less than half of r : translate into expression

Answers

Answer:

r/2 -6

Step-by-step explanation:

less than means it comes after

half of r

r/2

6 less than means subtract

r/2 -6

What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8

Answers

Answer:

x=4 Postive

Step-by-step explanation:

See the steps below:)

What is the measure of arc GH?

Answers

Answer:

62 degrees

Step-by-step explanation:

The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.

Said another way, the intercepted arc is twice the measure of the inscribed angle.

2 x 31 = 62

A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete turn every 4 minutes. Write a cosine function to express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes), given that the passenger is at the lowest point on the wheel when t

Answers

Answer:

y = -190 cos(π t / 120) + 195

Step-by-step explanation:

General form of a sinusoidal function: y = A cos(Bt - C) + D

Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.

A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.

2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.

C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.

D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.

Your final function will be:

y = -190 cos(π t / 120) + 195

does anyone know this

Answers

Answer:

a=170

Step-by-step explanation:

180-6=174mil

round to 170.

Answer:

4.9 (rounded)

Step-by-step explanation:

a^2 + 1^2 = 5^2

a^2 + 1 = 25

      - 1     - 1

= a^2 = 24

[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)

6x – 3x + 4 – 2x = x + one solution ,no solution, and many solution

Answers

Answer:

6x – 3x + 4 – 2x = x

x+4=x

4=0

no solution

hope this helps

have a good day :)

Step-by-step explanation:

Identify the sample space of the probability experiment: answering a true or false question.

Answers

Answer:

we would need to know what the experiment was or we can't awnser

help i’ll give brainliest

Answers

Answer:

The answer would be D, hope this helps

The answer is D I believe so

please answer this question​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )

= a × - [tex]\frac{3}{5}[/tex] b

= - [tex]\frac{3}{5}[/tex] ab

(b)

3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy

= 15x³y³ - 12xy²z

Solve for angle A. Please help quickly !!

Answers

Answer:

∠ A ≈ 75.7°

Step-by-step explanation:

Given

[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )

7 × sinA = 8 × sin58° ( divide both sides by 7 )

sinA = [tex]\frac{8sin58}{7}[/tex] , then

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )

Find the gradient of the following line

Answers

Answer:

y=-2.6+2

Step-by-step explanation:

using the eqaution y=mx+c

Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)

Answers

Answer:

B) Maximums: (0, 1), (2π, 1);

Minimum: (π, -3)

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B

Answers

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

Please help me almost due!!!:):$:

Answers

Answer:

Our two selected points:

-3, 3

2, -4

-4 -(3)           7

_____ = - _____ = -7/5, D is your answer

2 - (-3)         5

find the value of x

Answers

Answer:

x = 25

Step-by-step explanation:

40 is a vertical angle equal to the angle to the right of 2x.

2x, 40, and 90 are supplementary angles (they add up to 180)

2x + 40 + 90 = 180

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25

Answer:

they are right

Step-by-step explanation:

In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x

Answers

Range=y, domain=x, so y = x would be your answer.

pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.​

Answers

Answer:

[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]

                      = [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]

[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]

1 hour = 60 minutes

Therefore, 6 hours = 360 minutes

So , 360 minutes they spent doing mathematics.

Help Please I will mark brainlist dont answer if you don’t know and no links.

Answers

Answer:

63

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

A recipe calls for 21 scoops of sugar. Each scoop is 2.5 oz of sugar. How many scoops do you need if the scoop holds 3.5 oz of sugar?

Answers

Answer:

you would need 6 scoops of sugar

Answer:

You would need 15 scoops of sugar per 3.5 oz

Step-by-step explanation:

YALLL HELPP ME PLEASEE!!!!!!!!

Answers

Step-by-step explanation:

1. -5 not suree

2.50

my anwser could be wrong sooo...

How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian

Answers

Answer:

Logan can mow 1 lawn per hour more than Brian

Step-by-step explanation:

Given

[tex]Logan: 8\ lawns \to 4\ hours[/tex]

See attachment for Brian's graph

First, calculate Logan's hourly rate

[tex]Rate = \frac{Lawn}{Time}[/tex]

[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]

Rate = 2 lawns per hour

To calculate Brian's rate, we select 2 points from the linear graph

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,2)[/tex]

So, the rate is:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]

[tex]Rate = \frac{1}{1}[/tex]

Rate = 1 lawn per hour

So, we have:

[tex]Logan = 2[/tex]

[tex]Brian = 1[/tex]

Calculate the difference (d)

[tex]d = Logan - Brian[/tex]

[tex]d = 2 - 1[/tex]

[tex]d = 1[/tex]

Logan can mow 1 lawn per hour more than Brian

a designer created a scale drawing of a new kitchen. In the scale drawing, the length of the kitchen will be 8 feet. What scale did the designer use to create the scale drawing of the kitchen

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Scale\ length = 8ft[/tex]

Required

Determine the scale of the drawing

The question is incomplete, as the actual width of the kitchen is not given. The general explanation, however, is as follows:

The scale of a drawing is represented as:

[tex]Scale = Scale\ Measurement : Actual\ Measurement[/tex]

This gives:

[tex]Scale = 8ft : Actual[/tex]

Assume the actual length of the kitchen is 24ft.

The equation becomes:

[tex]Scale = 8ft : 24ft[/tex]

Divide by 8ft

[tex]Scale = 8ft/8ft : 24ft/8ft[/tex]

[tex]Scale = 1 : 3[/tex]

Maria is given a pay increase of 3%. After the pay increase, she earns $2472 each month. Calculate her monthly pay before the pay increase.

Answers

Answer: $2400

Step-by-step explanation:

Given

Maria got a hike of 3%.

After the hike she earns $2472 each month

Suppose, before hike she earns x each month

[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]

Thus, she earns $2400 before the hike.

Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?

Answers

Answer:

11

Step-by-step explanation:

first you add 6 + 7 = 13

then you 13 - 2 which gives you eleven!

A rhombus has diagonals with lengths 6 cm and 10 cm. It’s area is ____

A. 60 cm^2
B. 30 cm^2
C. 15 cm^2
D. 36 cm^2

Answers

Answer:

B.

Step-by-step explanation:

A = ab/2

A = (6 cm)(10 cm)/2

A = 30 cm^2

Answer: B.

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