a carpenter can make 30 chairs, 25 tables and 15 beds in a month. what proportion of the carpenter's output is bed.
1 answer:
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Answer:
Option A
x=6 , y=9
Step-by-step explanation:
As we can see in the figure that point T is the mid point of rectangle and there are two diagonals QS and PR
So in basic geometry we know that the length of the diagonal from the mid point i.e. Taking the diagonal QS the length of QT and TS would be equal because they are same diagonal which is cut into two parts by point T
Similarly the Length of RT and the length of TP would be same
From all this we deduct that
3x = 2y ..................(i)
and
y + 3 = 2x ................(ii)
From equation (i)
3x = 2y
Dividing both sides by 3 the equation becomes
x= ....................(iii)
Putting this value in equation (ii)
y + 3 = 2()
y+3 =
multiplying both sides by 3
3(y+3)=
the equation becomes
3y+9=4y
subtracting 3y from both sides
3y-3y+9=4y-3y
y=9
Putting the value of y in equation (iii)
x=
solving it
x=
x=6
so x=6 and y=9 is answer which is option A
Answer: The campers will be from their car after 12 hours.
Step-by-step explanation:
<h3> The missing graph is attached.</h3>The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" the y-intercept.
We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:
Choosing the points (0,4) and (2,10), we get:
We can susbstitute the point (0,4) and the slope into and solve for "b":
Then, the equation of this line is:
Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:
Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute into the equation and evaluate. Then we get:
