Let x be number of downloads of standard version and y be number of downloads of high quality versions.
The hight quality downloads are twice as the standar downloads. So,
The downloaded data for x standard version is 2.7x and for y high quality version is 4.2y. The total downloaded data is 3219. So,
Substitute 2x for y in the equation and solve the obtained equation for x.
So value of x is 290. Thus downloads of the standard version were 290.
Answer: 290
We were told that the distance is directly proportional to the time
.
We write this mathematically as,
We can now introduce our constant of variation and write the equation for the direct equation as;
where is the constant of variation or constant of proportionality.
We substitute and
, in to the equation of variation to obtain the constant of proportionality.
That is;
This implies that,
This simplifies to give us,
Now our equation of proportion becomes,
When T=20
Writing this as a mixed number we obtain,
This can also be rewritten as
correct to one decimal places.
Therefore the care covers miles in
minutes.
The value of x is 55°
Step-by-step explanation:
Given figure is a parallelogram.
In a parallelogram, the opposite sides are equal and parallel and the opposite angles are equal.
This means that,
in the given parallelogram
m∠A=m∠C=x°
m∠B=m∠D=(2x+15)°
The sum of interior angles of a parallelogram is 360 degrees.
So,
m∠A+m∠B+m∠C+m∠D=360°
Putting the values of angles
The value of x is 55°
Keywords: Parallelogram, angles
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