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Alex Ar [27]
3 years ago
6

Juan drove from his mother's house to his apartment at Arkansas Tech. After driving for 20 minutes, he was 62 miles away from hi

s 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
Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

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

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Three consecutive integers add up to -36. What are the integers?​
nasty-shy [4]

Answer:

We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below

Explanation

3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13.  11 + 12 + 13 = 36

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2 years ago
An airline charges $150 for a ticket and $20 for each bag.
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Answer:

Step-by-step explanation:

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Answer Please this is really important
trapecia [35]

Answer:

B) Parallel

Step-by-step explanation:

The lines have the same slope of \frac{4}{3}. This makes the lines parallel.

Hope it helps!

3 0
3 years ago
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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
What is the volume of a right circular cone that has a height of 14.9 cm and a base with the circumference of 2.9 cm rounded to
xxMikexx [17]

Answer:

The answer to your question is  Volume = 3.30 cm³

Step-by-step explanation:

Data

Volume = ?

height = 14.9 cm

circumference = 2.9 cm

Process

1.- Calculate the radius

   circumference = 2πr

-Substitution

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-Solve for r

   r = 2.9/2π

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2) Calculate the volume of the cone

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-Substitution

   Volume = 1/3π(1.45/π)²(14.9)

-Simplify

   Volume = (1.04)(0.213)(14.9)

   Volume = 3.30 cm³

5 0
3 years ago
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