Answer:
see explanation
Step-by-step explanation:
Given x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 9 when y = 4
k = 
= 
= 2.25
x = 2.25y ← equation of variation
When y = 8, then
x = 2.25 × 8 = 18
Answer:
Step-by-step explanation:
What you do is try to find l by using the given information.
We can start by saying that
A=L*W
Now it's easy algebra
Divide both sides by W
L=A/W
Area and length are given .
A=((m^3-3m+2)/2m^2-7m+3)/(m^3+m-2)/(2m^3+3m-2)
Try to work it out if you can't then tell me in the comments we'll figure it out.
Ok I got 2,131 I hope that helps!
Answer:
3. 35 adults and 420 children
4. The three numbers are 13, 52 and 16
Step-by-step explanation:
3. Let the number of adults be x.
Since there are 12 times more children than adults,
number of children= 12x
Total number of people= 12x +x
13x= 455
x= 455 ÷13
x= 35
12x= 35(12)
12x= 420
Therefore, there are 35 adults and 420 children at the play.
4. Let the first number be x.
Since the 2nd number is 4 times the first,
2nd number= 4x
Third number is 3 more than the first:
3rd number= x+3
sum of numbers= x +4x +x+3
6x +3= 81 (simplify)
6x= 81 -3 (bring constant to 1 side)
6x= 78 (simplify)
x= 78 ÷6
x= 13
Second number
= 4x
= 4(13) (subst. x=13)
= 52 (expand)
third number
= x +3
= 13 +3 (subst. x=13)
= 16
Answer:
263.25
Step-by-step explanation:
250 x .053 (5.3%) = 13.25 tax
250 + 13.25 = 263.25 price plus sales tax
