It will take them 4.24 hours together to paint the area together
Step-by-step explanation:
If Emily takes eight hours to paint the area then she will paint 1/8 of the house in one hour
Similarly, if Mike can paint the same area in 9 hours, then he will paint 1/9 of the same area
Let x be the number of hours in which they will together paint the area.
If x hours are taken by them to paint the area then 1/x of the area will be painted in one hour
So,
It will take them 4.24 hours together to paint the area together
Keywords: Linear equation, Variables
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8.3333333333333333333333333 ( recurring/ infinite 3 )
Answer:
2
Step-by-step explanation:
It is 2 because -2x + 10 has a rate of change of -2 while 2 has a rate of change of 0 (it never changes).
Answer:
A. 109
Step-by-step explanation:
We know that since AB = CB, then ΔABC is isosceles.
Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.
Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.
∠BCE = ∠DCB + ∠BCA
∠BCE = 64 + 45 = 109°
The answer is thus A.
<em>~ an aesthetics lover</em>
Answer:
Third option
m = 2.25
Step-by-step explanation:
The slope of the function is equal to its rate of change between two points.
For example, for a couple of points 
The slope is:
In this problem we have the following points
1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)
We calculate the slope between the first two points
We calculate the slope between the points 3 and 4
We calculate the slope between the points 2 and 3
The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25
