I was wondering if anyone knew the pattern to this...

Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up

Nostrana [21]

Answer:

(a) Equation: $T_n = 11.25 - 1.25n$

(b) 7.5 gallons

Step-by-step explanation:

Given

Current Gas = 10 gallon

Every Hour = -1.25 gallon

Solving for (a): An equation for the scenario

This question represents an Arithmetic Progression and will be solved using the following formula:

$T_n = a + (n - 1)d$

Where

$a = 10$

$d = -1.25$

Substitute these values in the formula

$T_n = 10 + (n - 1) * -1.25$

$T_n = 10 -1.25n +1.25$

Collect Like Terms

$T_n = 10 + 1.25 - 1.25n$

$T_n = 11.25 - 1.25n$

Solving for (b): In this case, n - 3

Substitute 3 for n in $T_n = 11.25 - 1.25n$

$T_3 = 11.25 - 1.25 * 3$

$T_3 = 11.25 - 3.75$

$T_3 = 7.5$

<em>7.5 gallon of gas left</em>

6 0

3 years ago

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

makkiz [27]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

-----> equation A

-----> equation B

Substitute equation B in equation A

Find the value of x

therefore

the answer is

the number of multiple choice question are

the number of free response question are

3 0

2 years ago

3. The sum of seven numbers is 2,814. If each number is increased by 70, and the

horsena [70]

B) 3,304

Your welcome:)

6 0

3 years ago

Read 2 more answers

Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.

oksian1 [2.3K]

Answer:

$\large\boxed{y=2x-5}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Parallel lines have the same slope. Therefore if given line is

$y=2x+2$

then the slope of our line is $m=2$ .

We have the equation:

$y=2x+b$

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

$-7=2(-1)+b$

$-7=-2+b$ <em>add 2 to both sides</em>

$-5=b\to b=-5$

Finally:

$y=2x-5$

6 0

3 years ago

Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify

kipiarov [429]

Answer:

The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant $\pi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

$C=\pi D$

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant $\pi$

3 0

3 years ago