Juan drove from his mother's house to his apartment at Arkansas Tech. After driving for 20 minutes, he was 62 miles away from his apartment. After driving for 32 minutes he was only 38 miles away. The time driving and the distance away from his apartment form a linear relationship. What is the independent and dependent variables

Answers

Answer 1

Given:

After driving for 20 minutes, Juan was 62 miles away from his apartment.

After driving for 32 minutes Juan was only 38 miles away.

The time driving and the distance away from his apartment form a linear relationship.

To find:

The independent and dependent variables.

Solution:

If the value of a variable depends on the another, then it is called dependent variables.

If the value of a variable does not depend on the another, then it is called independent variables.

In the given problem, the distance of Juan from his apartment depends on the time he drove. So,

Dependent variable = Distance of Juan from his apartment in miles.

Independent variable = Time he drove


Related Questions

Is this right? Pls help ;-;

Answers

It sounds and looks right from what i’m seeing!

can you use a square to tile a floor?

Answers

Answer:

Uh, what is the square made out of? A square tile, then, sure, I guess.

Three times a number that is decreased by four is sixty-two. Find the number.

Answers

Answer: 22

Step-by-step explanation: (22 x 3) -4 = 62

??????????????????????????????

Answers

Answer:

For 6 chairs, 72 screws and for 9 chairs, 108 screws.

Step-by-step explanation:

So, for every 2 chairs, he needs 24 screws.

By Unitary Method,

We get screws needed for one chair, that is, 24/2 = 12 screws for one chair.

So, for 6 chairs,

6 × 12 = 72 screws.

Similarly, for 9 chairs,

9 × 12 = 108 screws.

Answer:

The ratios to this would be:

[tex]\left[\begin{array}{ccc}2&24\\6&72\\9&108\end{array}\right][/tex]

Step-by-step explanation:

Ratios are similar to fractions, in some ways, ratios are to show the relation between two numbers, such like a proportion:

For example:

4:3

or the ratio of men' jobs to women's' is 8 to 1 (8:1)

In this case, it is said that:

Gary needs 24 screws for every 2 chairs.

The ratio of this is 24: 2

Also meaning:

[tex]\frac{24}{2}[/tex]

and [tex]2\sqrt{24}[/tex], the quotient is = 13

Now we multiply 12 to '6' and '9'

You will get:

12(6) = 72

12(9) = 108

This will be your answer.

(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Columbus, Ohio:8.25x 10^5

The United States: 3.2*10^8

Answers

Answer:

The population of the United States is 387.87 times larger than the population of Columbus, Ohio.

Step-by-step explanation:

8.25 times 10^5 = 825,000

3.2 times 10^8 = 320,000,000

320,000,000 divided by 825,000 = 387.87

7.8 x 10^3 in standard form.

Answers

Answer: 7800x

Step-by-step explanation:

Hope this helps!

Solve for z.
4/z
12/5

Answers

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]\frac{4}{z} = \frac{12}{5}[/tex]

4 (5) = z (12)

20 = z (12)

20 = 12z

z = [tex]\frac{5}{3}[/tex]

6) Gabriel needs to replace the roof on his house. The cost of replacing it, including labor, is $3,260.00. He can
apply for a 5 year loan or a 3 year loan to pay for it. Both loans involve simple interest with an annual interest
rate of 7.2%. If Brian applies for the 5 year loan, how much more will he pay in interest than with the 3 year
loan?
A) $469.44
B) $704.16
C) $1173.60
D) $599.13

Answers

Answer:

b

Step-by-step explanation:

its not A ,C D or d it's b ITS B

Clayton Kershaw, a baseball player for the Los Angeles Dodgers, makes $30.15 million per year. There are 162 games in a major league baseball season. Carmello Anthony, a basketball player for the Knicks, makes $24.81 million per year. There are 82 games in a NBA season. Which player is making more money per game played? Round any answers to the hundredths place.

Answers

Answer:

Carmello Anthony make more money per game

Step-by-step explanation:

we are expected to calculate how much each player is making per game, compare the values and tell who makes more money per game

Clayton Kershaw

given data

$30.15 million per year

There are 162 games in a major league baseball season.

therefore a game will be worth

=30,150,000/162

=$186,111

Carmello Anthony

given data

$24.81 million per year

There are 82 games in a NBA season.

therefore a game will be worth

=24,810,000/82

=$302,561

from the analysis, Carmello Anthony make more money per game

                                               

graph a line that contains a point (-6,1) and has a slope of 5

Answers

The answer will be
y=5x + b
y=5x + 31
Step-by-step explanation:
Well you can get the answer by putting -6 in the x spot and 1 in the y spot if that make sense

On Black Friday, new TV's are marked 40% off. A 50" TV was original price at $299. How much money are you going to save?

Answers

Answer:

a lot

Step-by-step explanation: brain usage

Answer:

$119.6

Step-by-step explanation:

1. Subtract 40% on your calculator from $299

2. From there you should get $119.6

3. Total of the tv would now be $179.4

Tonya wrote the equation below which solves for x.

x = 150 minus 6 y

Which equation is equivalent to Tonya’s equation?
x + 150 = 6 y
x + 6y = 150
2x + 3y = 75
2 x minus 3 y = 75

Answers

Given parameters:

    x = 150 minus 6 y

Interpreting this gives;

    minus = subtraction  = -

 

        x  = 150 - 6y

Now bring the variables together;

                    x + 6y  = 150

The option that matches with this equivalent.

The other choices are wrong;

   

   a,  x + 150 = 6 y

           x - 6y = 150   wrong

 c. 2x + 3y = 75   mulitply through by 2;

      2(2x + 3y) = 2(75)

        4x + 6y  = 150      wrong

   d. 2x - 3y = 75

    Multiply by 2;

     2(2x -3y) = 2(75)

      4x - 6y = 150

Answer:

x+6y = 150 (B)

Step-by-step explanation:

A soccer ball is punted in the air. Its height after x seconds can be modeled by a quadratic function. The soccer ball reaches its maximum height of 85 feet after 3 seconds. The ball is trapped at a height of 2.5 feet, 6 seconds after being kicked. Write a quadratic function that models the height of the soccer ball, x seconds after being kicked.

Answers

Answer:

[tex]-9.31x^2+56.26x[/tex]

Step-by-step explanation:

Let the quadratic function be:

[tex]h=ax^2+bx+c[/tex]

Where [tex]h[/tex] is the height of soccer ball and

[tex]x[/tex] is the time in seconds.

Initially, at time [tex]x=0\Rightarrow h=0[/tex]

Therefore, [tex]c=0[/tex]

Given that,

[tex]x=3, h=85\\and\\x=6, h=2.5[/tex]

Putting the values and making equations in [tex]a,b[/tex] :

[tex]85=9a+3b\\2.5=36a+6b[/tex]

By solving the above equations, we get:

[tex]a=-9.31\\ and\\b =56.26[/tex]

So, the quadratic expression is:

[tex]-9.31x^2+56.26x[/tex]

Which statements are true about the reflectional
symmetry of a regular heptagon? Select two options.
It has only 1 line of reflectional symmetry.
A line of symmetry will connect 2 vertices.
O A line of symmetry will connect a vertex and a
midpoint of an opposite side.
It has 7-fold symmetry.
A line of symmetry will connect the midpoints of 2
opposite sides. lol

Answers

A line of symmetry will connect a vertex and a midpoint on an opposite side of a regular heptagon  has 7-fold symmetry.

What is symmetry?

" Symmetry is defined as the line which divides the geometrical shape into two equal proportion."

According to the question,

Regular heptagon is a polygon with 7equal sides.

Line of symmetry will connect a vertex and a midpoint of an opposite sides.

There are seven such possibilities.

Number of lines of symmetry in regular polygon is same number of sides of polygon.

Hence, regular heptagon has 7-fold symmetry.

Learn more about symmetry here

https://brainly.com/question/1597409

#SPJ2

Answer:

c. a line of symmetry will connect a vertex and a midpoint of an opposite side

d. it has a 7-fold symmetry

Step-by-step explanation:

Which staternent is about the polynomial 3x ^ 2 * y ^ 2 - 5x * y ^ 2 - 3x ^ 2 * y ^ 2 + 2x ^ 2 after it has been fully simplified has 2 terms and a degree of 2 It has 2 terms and a degree of 3 . }has 4 terms and a degree of 2 . It has 4 terms and a degree of 4.

Answers

Answer:

The polynomial has 2 terms and a degree of 3.

Step-by-step explanation:

The given polynomial is [tex]3x^2y^2-5xy^2-3x^2y^2+2x^2[/tex].

On simplification, the polynomial becomes:

[tex]-5xy^2+2x^2[/tex]

Numbers of term=2

Degree=1+2=3

Hence, the polynomial has 2 terms and a degree of 3.

Solve This Equation
x/3 - 7(x-2)/9 = 4 - 2x-5/6

Answers

exact form: 42/55
decimal form: 0.763 (a line is above 63)

i dont know help plz?​

Answers

Answer:

its B

Step-by-step explanation:

because its x values repeat

2. 10 * p= 100 =|what does p mean ​

Answers

Answer: 10

Step-by-step explanation:

10 * 10 = 100

10 * p = 100

Divide 10 by 100 to get

P=10

What is 8 divided by 2 2/3

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

8 ÷ 2 2/3

8 ÷ 8/3

8/1 × 3/8

3

|-4 + 3| · 8. what is the value

Answers

|-4+3|= 1•8=8
Order of operations , work done in the absolute value is always positive

Please Help!!! I need help

Answers

Answer:

I cant see anything

Step-by-step explanation:

SRY U_U

Are x(3x) and 4x equivalent?

Answers

Answer:

no, not at all

Step-by-step explanation:

you apply the distributive property. x times 3x equals 3x^2 which is different from 4x.


A calculator screen shows a number in scientific notation as 1.04E10. Write this number in standard form.

Answers

[tex]1.04 \times {10}^{10} = [/tex]

[tex]104 \times {10}^{ - 2} \times {10}^{10} = [/tex]

[tex]104 \times {10}^{8} = [/tex]

[tex]10400000000[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Tessa adopts a rescue dog. On the way home, she stops at the store to buy a case of dog
food. A case has 12 cans and costs $19.92. How much does each can cost?

Answers

Answer:

1.66

Step-by-step explanation:

19.92/12= 1.66

So $1.66 per can

Answer:

1.66

Step-by-step explanation:

16.6 rounded to nearest whole number

Answers

Answer:

17

Step-by-step explanation:

please give me brainly

Answer:

17

Step-by-step explanation:

If you use the number hill 6 is closer to 10

1234(5)678910

5 is in the middle so if it is before the 5 you round to 16 if it is after the 5 you round up to 17.

6 is after 5 so you would round up to 15.

answer is 17.

Abbie drove 325 miles in 5hrs. What is this rate in feet per second?

Answers

Answer:

4400

Step-by-step explanation:

Answer:

The rate should be 95.33 feet per second assuming that she drove with a constant speed

Step-by-step explanation:

First you divide 325 by 5. And you get 65 which is how many miles per hour she went. Then you can put it in a unit converter to change miles per hour to feet per second. And it should be 95.33 (sorry for my lack of a detailed explanation of how to transform miles per hour into feet per second)

#9 Alana made $45
babysitting for 6
hours. How much do
she make per hour?

Answers

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 45 on the right side like this:

             

   6 ⟌ 4 5  

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   6 ⟌ 4 5  

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

       0    

   6 ⟌ 4 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   6 ⟌ 4 5  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

      4 2  

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

     - 4 2  

         3  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 45 divided by 6 calculated using Long Division is:

7

3 Remainder

Please help if you can. It’s a math problem, and please explain

Answers

Answer: The answer is B: 6

Step-by-step explanation:

3 times the square root of 36 is 18.

18 divided by the square root of 9 is equal to 6.

Answer:

6

Step-by-step explanation:

_

3/36 = 18 then dividedby 9 =6

The product of 8 and the sum of a number x and 14
Algebraic Expression

Answers

Answer:

8(x+14)

Step-by-step explanation:

Answer:

8x+112

Step-by-step explanation:

8(x+14) = 8x+112

Y’all help me with this and how you got it i need to show my work

Answers

Answer:

6

Step-by-step explanation:

8x-3x-10=20

5x-20=10

5x=30

x=6

Answer:

x=6

Step-by-step explanation:

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