The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.
<h3>What is the sharing ratio?</h3>
The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.
Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).
<h3>Data and Calculations:</h3>
Quantity of pencils bought = 1.5 pounds
Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)
The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)
Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.
Learn more about sharing ratios and ratios at brainly.com/question/26254916
#SPJ1
Hey there! :D
Substitute y for 5x-1.
3x+2y=11
y=5x-1
3x+2(5x-1)=11
3x+10x-2=11
13x-2=11
13x=13
x=1
Now, plug that in to find y.
y=5x-1
y=5(1)-1
y=5-1
y=4
(1,4) <== the solution
I hope this helps!
~kaikers
If you graph this, your first point will be at (0,5), as the ramp is at the warehouse door but 5 feet up. The second point is (10,0) as it is touching the ground but it's 10 feet away from the warehouse.
To find slope, you do (y2-y1)/(x2-x1).
When substituting in the variables, you get (0-5)/(10-0), which is -5/10, which is simplified to -1/2. Of course, that is when the warehouse is Quadrant II. If you look at it from another point of view, the slope will be positive so your answer is A) 1/2.
If this was unclear feel free to comment :)
Answer:
B, D, and E.
Step-by-step explanation:
A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.
B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.
C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).
D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.
E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.
Answer:
Step-by-step explanation:
let the original price be x
discount is 25%, .25x
discounted price x-.25x=.75x
112.50=.75x
x=150 was the membership selling before the discount
