Hello!
1/2 = 0.5 as a decimal
0.5 ÷ 2 = 0.25
That means you walk 1 mile in 0.25 of an hour. Multiply this by three:
0.25 × 3 = 0.75
Answer:
It will take you 0.75 (or 3/4) hour to walk 3 miles.
See explanation below
Explanation:
The equation: 4x + 3y = -12
To plot the graph using the intercept, we need to find the y and x intercept
To get the y intercept, we replace x with 0
4(0) + 3y = -12
0 + 3y = -12
3y = -12
divide both sides by 3:
3y/3 = -12/3
y = -4
To get the x intercept, we will replace y with 0
4x + 3(0) = -12
4x + 0 = -12
4x = -12
divide both sides by 4:
4x/4 = -12/4
x = -3
Plotting the x and y intercept on the graph:
Answer:
250 students
Step-by-step explanation:
Another way of saying this is:
40% of all six-grade students are 100 of them.
So,
40% of total is equal to 100
We can translate this into an algebraic equation and solve for the total number of students.
Let total number of students be "t"
Also, note "of" means "multiplication" and "is" means "equal"
Lets translate word equation to algebraic:
<em>"40% of total is equal to 100"</em>
40% * t = 100
Converting percentage to decimal by dividing by 100, we have:
40% = 40/100 = 0.4
Now, we have:
0.4 * t = 100
We can now solve for t:

Hence,
the total number of students is 250
Answer:
5.5
Step-by-step explanation:
y = 0.5x + 5
Use the slope-intercept form to find the slope and y-intercept.
<em>Slope: 0.5
</em>
<em>y-intercept: 5
</em>
Any line can be graphed using two points. Select two <em>x</em> values, and plug them into the equation to find the corresponding values.
To find the y intercept using the equation of the line, plug in 0 for the <em>x</em> variable and solve for y.
<em>y = 0.5(0) + 5
</em>
<em>y = 5</em>
To graph the y intercept using the equation of the line, plug in 1 for the x variable and solve for y.
<em>y = 0.5(1) + 5
</em>
<em>y = 5.5
</em>
Which means when x is 0, y intercept at 5 and when x is 1 y intercept at 5.5. Graph the line using the slope and the y-intercept, or the points.
This tells us, in practical terms, that, for every one unit that the x-variable increases (that is, moves over to the right), the y-variable increases (that is, goes up) by 50% of a unit.
Answer:
3
Step-by-step explanation: