Step-by-step explanation:
hope this helped you :)) !!
The three-dimensional figure that will produce a trapezoid if its cross section was cut by a plane that is not parallel to its base is the rectangular pyramid. If a plane was cut parallel to the base of the pyramid, the shape that would be produced would be a rectangle.
In this question, you're solving for d.
Solve for d:
5(-6 - 3d) = 3(8+7d)
Use the distributive property:
-30 - 15d = 3(8+7d)
-30 - 15d = 24 + 21d
Add 30 to both sides:
-15d = 54 + 21d
Subtract 21d from both sides
-36d = 54
Divide both sides by -36
d = -3/2
Answer:
d = -3/2 or -1.5
P = ( 2 / 3 )s;
s = ( 3 / 5 )t ;
p + s + t = 280 ;
Then, p =( 2 / 3 )( 3 / 5 )t ;
p = ( 2 / 5 )t;
We solve the equation : ( 2 / 5 )t + ( 3 / 5 )t + t = 280 ;
( 2 / 5 )t + ( 3 / 5 )t + ( 5 / 5 )t = ( 1400 / 5 )t;
10t = 1400 ;
t = 1400 ÷ 10 ;
t = 140 postcards has Tim;
p = ( 2 / 5 ) × 140 = 56 postcards has Paul;
s = ( 3 / 5 ) × 140 = 84 postcards has Shawn ;