Answer:
x=8
Step-by-step explanation:
If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.
If x=16 when y=3/4 we can write their relation as:
x/y = 16/(3/4) = 16*(4/3) = 64/3
So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.
Now we can see what happens to x when y varies. If y=3/8:
x/(3/8) = 64/3
Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.
x/(3/8) * (3/8) = (64/3) * (3/8)
See that we have a 3 multiplying and another dividing, we can eliminate them.
x = 64/8
x = 8
So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.
Answer:
$257.50
Step-by-step explanation:
Because it has a higher amount.
Answer:
28 pizzas eaten
Step-by-step explanation:
1) estimate each number, i will take 3 1/4 as 3
5 3/4 as 6
and
2 3/4 as 3
2) combine the total number of pizzas left over:
3+6+3=12
subtract the number of pizzas left over from the total ordered:
40-12=28
Answer:
37.5 sq. units.
Step-by-step explanation:
The coordinate of vertices of trapezoid ABCD are given,
From the diagram it is clear the area of ABCD = 
{Since, AD ║ BC and AB is the perpendicular distance between the parallel lines }
Now, AB = 
units
AD = 
units
Again, BC = 
units
Therefore, the area of trapezoid ABCD = 
sq. units. (Answer)
We know, that the distance formula between two points 
and 
is
.
