Mathematics High School

The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?​

Answers

Answer 1

Answer:

The equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Step-by-step explanation:

Given that point [tex](x,y) = (6, 21)[/tex] is part of a direct relationship. That is:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality constant.

If we know that [tex]x = 6[/tex] and [tex]y = 21[/tex], then the proportionality constant is:

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{21}{6}[/tex]

[tex]k = \frac{7}{2}[/tex]

Lastly, the equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Related Questions

Determine the scale factor of the dilation, if OA = 7 and OA' = 21.

Answers

Answer:

i think its 3

Step-by-step explanation:

21/7=3

The second figure OA' divided by first figure OA = 21/7=3

Especial on a cruise to Atlantis is advertising is being eight nights of the regular price the regular price is $1827 what is the sales price price

Answers

Answer:

$14,616

Step-by-step explanation:

The computation of the sales price is shown below:

The regular price is $1,827

And it would be advertised having 8 nights of the regular price so here we assume that the sales price is 8 times of the regular price

so, the sales price is

= $1,827 × 8

= $14,616

Plz help me with my math

Answers

Answer:

D I believe

Step-by-step explanation:

if it's going by negative values and positive values then -6 is the lowest and 9 is the highest

Answer:

D

Step-by-step explanation:

Least to greatest means from smallest to largest in simple terms.

So, -6, -4, -2, 2, 5, 9

A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
30
60
45
50
∘

Answers

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

Answer:

Step-by-step explanation:

50 degree

how many square feet of outdoor carpet will we need for this hole​

Answers

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

Which answer choice shows the decimals in order from least to greatest?
A. 0.013, 0.0104, 0.0118, 0.0108, 0.00149
B. 0.00149, 0.0104, 0.0108, 0.0118, 0.013
C. 0.013, 0.0118, 0.0108, 0.0104, 0.00149
D. 0.013. 0.0118. 0.0108. 0.00149. 0.0104

Answers

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

The correct answer is B!

Suppose that the height H of a Ferris wheel can be modeled by the function n H(t)= -16cos(t/45)+24, where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for π

Answers

Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

a bag of trail mix is 4lbs. by weight, 36% is oats.

what is the weight of the oats in the trail mix?

Answers

Answer:

1.44 lbs is from the oats

Step-by-step explanation:

Convert 36% to a decimal by dividing by 100, = 0.36

Multiply that by the 4 lbs of trail mix.
4 x 0.36 = 1.44 lbs

Suppose a city with population 200,000 has been growing at a rate of ​4% per year. If this rate​ continues, find the population of this city in 11 years.

Answers

Answer:

288,000

Step-by-step explanation:

You find 4% of 200,000 which is 8,000. Then you multiply 8,000 by 11 and then add it to 200,000.

Can you help me find X

Answers

Answer:

x=70+50

x=120

tell me if u need explanations or steps

It is 120 you add those angles shown together

please help me

find the value of x
x=​

Answers

Answer:

180-120+x-5+x+5=180

60+2x=180

2x=120

x=60

X=60 is the answer ....!!!!!!

Pls help!!!

1. Solve for w
21+2w=p
Answer will be w=-L+p/2


2. Solve for a
b-2a=c
The answer will be a=c-b/-2 or b-c/2

I know I have the answers but I need the work for it I’ll mark you brainliest

Answers

i can help but where’d the L come from in number 1

here 2 though.

b-2a=c
subtract b from both sides which gives you -2a=c-b
divide both sides by -2 to get a alone which gives you a=c-b/-2

A recipe for cookies calls for 23 of a cup of sugar per batch. Elena used 513 cups of sugar to make multiple batches of cookies. How many batches did she make?

Answers

Answer:

I don't know, sorry sweetie

Step-by-step explanation:

You do the work yourself x

Rewrite the equation y - 3 = 23(x - 2) in standard form.
Write your answer using integer coefficients.

Answers

Answer:

I believe it would be y-3=23x-2

Solve for x: 7x + 3 =2x +13

Answers

Answer:

x = 2

Step-by-step explanation:

7x + 3 = 2x + 13

Get all the x on the same side: 7x - 2x = 13 - 3

Subtract: 5x = 10

Divide both sides by 5 to get x = 2.

Plug the found value of x back in to check the answer: 7(2) + 3 = 2(2) + 13

Multiply: 14 + 3 = 4 + 13

Add: 17 = 17

This verifies that x = 2.

Step-by-step explanation:

[tex]7x+3=2x+13\\7x-2x=13-3\\5x=10\\x=2[/tex]

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

Which of x- values are solutions to the following inequality?​

Answers

Answer:

A and B

Step-by-step explanation:

54 , 89

need help it is math

Answers

Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

solve this please pleaee maths question pleade​

Answers

son is 17 mother is 41

PLEASE HELP :)))

triangle similarity theorem

Answers

Answer:

9i

Step-by-step explanation

ahhhhhhhhhhhhhhh why why why please help

Answers

Answer:

11

3

-3

-12

Step-by-step explanation:

Answer:

1) 11

2) 3

3) -3

4) -12

Use the distributive property to write an equivalent and simplified expression 12(3y+x)

Answers

36y+12x


I nneeesdd 20 characters

Please help !!!!!! thanks

Answers

Answer:

an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard

Step-by-step explanation:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

PLZ HELP ME I NEED THE ANSWER ASAP

Answers

answer:

153.94cm²

Step-by-step explanation:

<3

Solve using addition or subtraction.
6=m-7/8

Answers

55/8 I hope it’s right


how many more pairs of parallel sides does a regular octagon have than a regular octagon have than a regular hexagon

Answers

A regular hexagon has 3 pairs of parallel sides. A regular octagon has 4 pairs of parallel sides. Hope this helps :))

complete the description of how to model -4x + 6 = 23

you would use a _______ negative a variable tiles and _______ +1- tiles on one side of a line and ______ +1 - tiles on the other side to represent the equation negative -4x + 6 = 23 with algebra tiles.
HELP ME ASAP WITH THIS MATH QUESTION PLEASE!​

Answers

Well I will put an example but the easiest way

Expanding-

When u ex and

(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?

Answers

Answer:

Please refer to the attached image.

what is the slope intercept form of the equation of the line shown in the graph​

Answers

Answer:

y=2x+1

Step-by-step explanation:

A straight angle is broken into 3 angles. The first angle measures 38°, the second angle is a right angle. What is the measurement of the 3rd angle?


Answer: The measurement of the 3\large ^{rd} angle is

Answers

Answer:

52°

Step-by-step explanation:

Let the measure of the third angle be x°.

Since, straight line is broken into three angles. So, the sum of all the three angles will be equal to 180°.

38° + 90° + x = 180°

128° + x = 180°

x = 180° - 128°

x = 52°

Answer:

52°

Step-by-step explanation:

So, we basically know that,

A straight Angle=180°

When it has been broken into 3 pieces, we have gotten one which is 38°and a right angle.

Now , we know that

A right angle= 90°

So, we need to do,

Sum of known angles= 38+90=128°

Lastly,

Unknown angle = 180° - 128° = 52°

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