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2 years ago

A sports shop has 60 employees. 20% of the employees work part-time. How many part-time employees does the sports shop have?

Mathematics

1 answer:

torisob [31]2 years ago

8 0

Answer:

Step-by-step explanation:

60÷100=0.6 0.6x20=12

Therefore the sports shop has 12 part-time employees

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For the straight line defined by the points (2, 55) and (4, 91), determine the slope and y-intercept. do not round the answers.

mixas84 [53]

Hello : let A(2,55) B(4,91)<span>
the slope is : (YB - YA)/(XB -XA)
(91-55)/(4-2) = 36/2 =18
an equation is : y-55 = 18(x-2)</span>

<span> y-intercept when : x = 0 : y - 55 = 18(0-2)
y-55 = -36
y = 55-36 = 19</span>

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3 years ago

MARKING BRAINLEIST IF CORRECT AND QUICK

egoroff_w [7]

Answer:

Step-by-step explanation:

Hope that helps!

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3 years ago

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing th

Arturiano [62]

Answer:

see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

_____

The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.

5 0

3 years ago

when a linear function is graphed it passes through the points (-1,1), (1,5), and (3,9) what is the rate of change for the funct

vesna_86 [32]

Use the linear slope formula to solve for m:

m=(y2-y1)/(x2-x1)

using the points (-1,1) and (1,5) you can find the slope for the first interval:

m=(5-1)/(1-(-1))
m=4/2
m=2

you can double check by using the same formula on the second interval, which is (1,5) to (3,9).

m=(9-5)/(3-1)
m=4/2
m=2

therefore, the rate of change is 2.

5 0

3 years ago

a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a

Tomtit [17]

Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m = $\frac{2}{3}$

Equation of line is written as

y - $y_1$ = m × (x - $x_1$ )

Since line passes through line ( - 2 , 5 ) and have slope $\frac{2}{3}$

So, y - 5 = $\frac{2}{3}$ × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴ x = - $\frac{10}{2}$

I.e x = - 5

Again points ( - 2 , y ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or, 3 × y + 4 -19 = 0

or, 3 y = 15

∴ y = $\frac{15}{3}$

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5 . Answer

8 0

3 years ago