Make an equation.
Also, convert 3 weeks into days ⇒ 3 · 7 = 21 days.
x + 2x + 4x = 21
x is Jared.
2x is Max (because half of 4 is 2).
4x is Wesley.
Now solve the equation.
7x = 21
x = 3
Jared = x
Max = 2x
Wesley = 4x
Jared = 3 days
Max = 2(3) = 6 days
Wesley = 4(3) = 12 days
Answer: X = -12
Step-by-step explanation: 1) 12 + x/4 = 9
2) 12 + x/ 2^2 = 9
3) x/ 2^2 + 12 = 9
Answer:
x=-4
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation,
, where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):






Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.
Answer:
<u>$4</u> is spent on a big pail and <u>$2</u> is spent on a small pail.
Step-by-step explanation:
Given:
10$ is spent on 2 big pails and 1 small one.
A small pail cost half as much as each big one.
Now, to find the amount spent on a big pail and on a small pail.
Let the cost of a big pail be 
And the cost of small pail be 
As given, there are 2 big pails.
And the total money spent = $10.
According to question:




<em>Multiplying both sides by 2 we get:</em>

<em>Dividing both sides by 5 we get:</em>

<em>The cost of a big pail</em> = $4.
<em>So, the cost of a small pail</em> = 
Therefore, $4 is spent on a big pail and $2 is spent on a small pail.