If a car travels 350 miles in 2.5 hours, how far does it travel in one hour?

Mathematics

1 answer:

algol133 years ago

8 0

It travels 140 miles per 1 hour

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Write an equation that is parallel to the line 2x - 3y = 9 and passes through the point (4, -1).

insens350 [35]

Answer: $y = \frac{2x}{3} - \frac{11}{3}$

Step-by-step explanation:

Equation of the line given ;

$2x - 3y = 9$

To find the slope of the line we will make y the subject of formula , that is

$3y = 2x - 9$

$y = \frac{2x}{3}-3$

Therefore ; the slope = $\frac{2}{3}$

Two lines are said to be parallel if they have the same slope

This means that the slope of the second line = $\frac{2}{3}$

Using the formula $y-y_{1}= m ( x - x_{1} )$ to find the equation of the line , we have

$y - (-1 ) = \frac{2}{3} (x - 4 )$

$y + 1 = \frac{2x}{3} -\frac{2}{3}(4)$

$y + 1 = \frac{2x}{3} - \frac{8}{3}$

$y = \frac{2x}{3}- \frac{8}{3} - 1$

$y = \frac{2x}{3} - \frac{11}{3}$

7 0

3 years ago

A governor of state A earns 53,435 more than the governor of state B. If the total of their salaries is 290,395, find the salari

Pepsi [2]

Let A and B represent the governor's salaries of states A and B, respectively.

A - B = 53,435
A +B = 290,395

Add these two equations to eliminate B.
2A = 343,830
A = 171,915

B = A -53,435 = 118,480

The governor of state A has a salary of 171,915.
The governor of state B has a salary of 118,480.

8 0

4 years ago

Re-write 12% as a common fraction in a simple form

Liula [17]

Answer:

$\frac{3}{25}$