Answer:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal
Step-by-step explanation:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Answer : C , (L'M')` has a slope of 1.75 and passes through point C
Polygon JKLM is dilated by a scale factor of 2.5 with point C as the center of dilation, resulting in the image J′K′L′M′.
Given : Point C lies on the line LM and the slope of LM is 1.75.
In dilation by scale factor , the size of the polygon will increase or decrease.
the slope will not change by dilation. The slope remains the same.
So the slope of L'M' is 1.75
The line (L'M') has a slope of 1.75 and passes through point C.
Answer:
x-axis =
y-axis =
Line x =3 :
Line x = 6 :
Step-by-step explanation:
Given lines : y = √x
y = 0
x = 3
To determine the volumes generated we will use the disk method for each of the lines,
attached below is the detailed solution for line x =3 , same procedure will be repeated for each value of x and y to obtain the given results
The volume generated ( x axis )
=
volume generated ( y _axis )
=
Volume about x = 3
=
Volume about x = 6
=
Answer:
166m
Step-by-step explanation:
To calculate the area you multiply the length of all the pieces and add them to get. 4x5=20 then double that because there is 2 of those pieces and do the same for the rest of them. After all the multiplying you should get 40, 70, and 56 add them all up to get the answer
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The slope of a line is the ratio of its "rise" to its "run." The "rise" is the change in vertical distance, and the "run" is the corresponding change in horizontal distance between two points on the line. The formula for the slope is ...
In this problem, you are told the line passes through the origin, which is point (x, y) = (0, 0), and through point (6, 2). Using these coordinates in the slope formula gives ...
__
You may notice that when the line passes through the origin, the slope is simply the ratio y/x of any point on the line. Here, that ratio is 2/6 = 1/3.
_____
<em>Additional comment</em>
A line through the origin is the graph of a <em>proportional</em> relationship. That is, y is proportional to x. The slope of the line is the <em>constant of proportionality</em>. The equation of the line is ...
y = kx . . . . . . where k is the constant of proportionality.
The line in this problem statement will have the equation ...
y = (1/3)x