Justin's dog eats 3/4 a cup of food a day Mason's puppy eats 1/3 of a cup of food a day how much more food does Justin's dog eat

Mathematics

2 answers:

crimeas [40]3 years ago

8 0

Justins dog eats 5/4 of a cup more then masons dog

Nina [5.8K]3 years ago

3 0

5/12 you can work it out on a scientific calculator or take away the 2 fractions

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1. Find the slope of a line that passes through the points (-1,-4) and (5, -1).

Blizzard [7]

The answer is A. 1/2

(-1,-4) are (x1, y1)
(5,-1) are (x2, y2)
So you subtract y2-y1/x2-x1 = -1-(-4)/5-(-1)
-1-(4) = 3
5-(-1) = 6
3/6= 1/2
Slope is 1/2 making A your answer

7 0

3 years ago

A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it

umka21 [38]

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_{1},y_{1})=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_{2},y_{2})=(3,180)$

Since we are told the car's final position is 180 miles after 3h

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<u>Let's find the Slope $m$ : </u>

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_{1},y_{1})=(0,300)$