The distance traveled varies directly with the time spent in motion when speed is held constant.
If d represents the distance traveled and t represents time, which equation would represent this variation?
If you travel 150 miles in 4 hours, what is the constant of variation?
If you continue traveling at a constant speed, how long will it take to travel 200 miles? Round to the nearest tenth of
an hour.
about hours
Intro
Done

The answer is 3. The only common factor between the numbers is 3, because 15 is 3 times 5, while 9 is 3 times 3.

Answer:

Greatest common factor: 3

Step-by-step explanation:

Both 15 and 9 have a factor of 3, and that is the biggest number that they share. The answer doesn't have letters in it because y and n are not related.

Answer:

1.82558139535

Step-by-step explanation:

It takes turtle 314 hours to walk 172 miles.

We need to find for 1 mile how many hours

172 mile/172 is 1 mile

so ratio is 172

314/172= 1.82558139535

Answer:

1.) x = 30 ; 150°   2.) x = 30 ; 50°  3.) x = 40 ; 122°

Step-by-step explanation:

Each one of the problems revolves around vertical angles. Verticle angles are equal to each other.

1.)

5x = 3x + 60

2x = 60 (Subtracted 3x on both sides.)

x = 30 (Divided 2 on both sides.)

Know that we know the variable's value, time to find the angles.

5(30) = 3(30) + 60

150 = 150

This means the angles are 150°.

2.)

3x - 40 = x + 20

2x - 40 = 20

2x = 60

x = 30

3(30) - 40 = (30) + 20

90 - 40 = 50

50 = 50

This means the angles are 50°.

3.)

5x - 78 = 3x + 2

2x - 78 = 2

2x = 80

x = 40

5(40) - 78 = 3(40) + 2

122 = 122

This means the angles are 122°.

The value of x is 30° and the unknown angle is 150°.

We need to find the unknown angles from the given figure.

The vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

From figure 1:

(5x)°=(3x+60)°

⇒5x-3x=60

⇒2x=60

⇒x=30

So, (5x)°=(3x+60)°=150°

From figure 2:

(3x-40)°=(x+20)°

⇒3x-x=60

⇒2x=60

⇒x=30

So, (3x-40)°=(x+20)°=50°

From figure 3:

(3x+2)°=(5x-78)°

⇒5x-3x=78+2

⇒2x=80

⇒x=40

So, (3x+2)°=(5x-78)°=122°

Therefore, the value of x is 30° and the unknown angle is 150°.

To learn more about the vertically opposite angles visit:

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Answer:

2/6

Step-by-step explanation:

Well, both Fractions have common denominators so there is no need for extra work.

So:

    1/6

+   1/6

________

2/6

Answer:

1/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

5/12*4/5=2/3

Answer:

To me, life is something to explore as a pioneer and come out as a successful person. Each person's life is designed to be unique and your experience cannot be felt my others unless they have gone through it the same exact way you did. Life gives you more than you expect and it doesn't always have to be happiness. You have to go deeper to discover all the skills and talents to bring out a fruitful life.

Answer: x>−3

Step-by-step explanation:

Pull out like factors :

  -15 - 5x  =   -5 • (x + 3)

Divide both sides by  -5  

Remember to flip the inequality sign

Subtract  3  from both sides

           x > -3

Inequality plot for

        -5.000 X  - 15.000  >  0

Answer:

9

Step-by-step explanation:

Answer:

10/21

Step-by-step explanation:

Answer:

2⁹

Step-by-step explanation:

Using the rule of Indices:

aⁿ x aˣ = aⁿ⁺ˣ

Hence: 2²⁺³⁺⁴

= 2⁹

Answer:

9

Step-by-step explanation:

Since it is a multiplication problem you would add all of the exponents up.

2^2 * 2^3 * 2^4

2^(2+3+4)

Answer:

Factored out is 1/2 or 0.5

Step-by-step explanation:

5k - 4 over 2

Answer:

[tex]m=\frac{-4}{5}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the slope formula to find slope m:

(-3, 1)

(2, -3)

[tex]m=\frac{-3-1}{2-(-3)}[/tex]

[tex]m=\frac{-4}{2+3}[/tex]

[tex]m=\frac{-4}{5}[/tex]

Answer:

0.125

Step-by-step explanation:

Answer:

the perimeter is 64

Step-by-step explanation:

the length is 24 because 8*3 = 24 and since it is perimeter  of a rectangle there are two sides that are the same length which  is the length are 24+24 and width is 8+8 and all together

24+24+8+8=64

Answer: c

Step-by-step explanation:

A full circle is 360 degrees so half way would be 180 and since theyre parallel you know that you can use the 55 degrees up top to use in ur equation to find cfe

180-55=125

Can't be 45 because the angle on the other side is smaller than cfe and its 55 degrees and cfe has to be wider than 90 degrees because a right angle is 90 degrees and this angle noticeable goes past 90

Can't be 180 because the whole thing equals 180

Answer:

1951.1

Step-by-step explanation:

Just add her money up 920.65 + 1030.45= 1951.1

Answer:

x = 2

Step-by-step explanation:

-4/5(-8x + 6) = 1 + 7 (distribute first)

6.4x -4.8 = 8 (add 4.8 on both sides)

6.4x = 12.8 (divide by 6.4)

x = 2

PLUG IN

-4/5(-8(2) + 6) = 1 + 7

-4/5(-16 + 6) = 8

-4/5(-10) = 8

8 = 8

Answer:

The answer is x=18, I believe.

Answer:

each shirt would cost $13≤ unit rate <$36

Step-by-step explanation:

it would stay the same cause it can't be rounded to the hundredths place

The decimal number 113.04 rounded to the nearest hundredths place as 113.04.

The given decimal number is 113.04.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

To round 113.04 to the nearest hundredth consider the thousandths' value of 113.04, which is 0 and less than 5. Therefore, the hundredths' value of 113.04 remains 4.

Therefore, the decimal number 113.04 rounded to the nearest hundredths place as 113.04.

To learn more about the rounding off numbers visit:

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Answer:

5 x+ 9.50 y = 950, x= 38, y = 80

Step-by-step explanation:

I hope this helps. Have a good day!

One possible solution of the inequalities will be (20, 100).

Given in the question,

Let the number of student tickets sold = x

And the number of adult tickets sold = y

First statement states," Auditorium can hold a maximum of 130 people".

Inequality for the statement will be,

x + y ≤ 130 --------(1)

Second statement states, "The drama club must make at least $950 from the tickets sale to cover the show's cost".

Inequality for the statement will be,

5x + 9.5y ≥ 950 ------ (2)

Now use the utility to graph the inequality,

Since, a point (20, 100) lies in the common region (solution area) of the inequalities,

       Therefore, one possible solution will be (20, 100).

Learn more about the solution of inequalities here,

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Answer:

it would be C because of all thing that are macthing

Answer:

32

Step-by-step explanation:

the x is not a variable

Answer:

10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]

Step-by-step explanation:

Given

(m - 10)(8m - 1) = 0

Equate each factor to zero and solve for m

m - 10 = 0 ⇒ m = 10

8m - 1 = 0 ⇒ 8m = 1 ⇒ m = [tex]\frac{1}{8}[/tex]

Thus sum of roots = 10 + [tex]\frac{1}{8}[/tex] = 10 [tex]\frac{1}{8}[/tex] = [tex]\frac{81}{8}[/tex]

B.The weather pattern in City 2 is more consistent than the weather pattern in City 1

explanation:

Range and interquartile range (IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.

Range is calculated by differencevof maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.

Since, the range and IQR is less for City 2 as compared to City 1.

Thus ,weather pattern of City 2 is more consistent as compared to City 1.

Answer: b

Step-by-step explanation: I did it on my paper and it kind of took a long time

Answer:

[tex] \huge \: x = - 5417.33[/tex]

Step-by-step explanation:

[tex]0.75 (x + 200) = 150.5 (2 – 28) \\ [/tex]

Expand the terms and simplify

That's

[tex]0.75x + 150 = 301 - 4214 \\ 0.75x + 150 = - 3913[/tex]

Subtract 150 from both sides of the equation

[tex]0.75x + 150 - 150 = - 3913 - 150 \\ 0.75x = - 4063[/tex]

Divide both sides by 0.75

[tex] \frac{0.75x}{0.75} = - \frac{4063}{0.75} \\ x = - 5417.333333[/tex]

We have the final answer as

Hope this helps you

Answer:

x=4

Step-by-step explanation:

First set the equation equal to 4:

-2x +12=4

Subtract 12 from both sides:

-2x +12=4

      -12  -12

-2x=-8

Then divide each side by -2 to isolate the x:

-2x/-2=-8/-2

x=4