Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
Answer:
Step-by-step explanation:
22/7x4^2=50.28
3x3=9
50.28-9=41.28
Answer:
The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161
Step-by-step explanation:
Let
x ----> the number of packages of chocolate chip cookies sold
y ----> the number of packages of sugar cookies sold
we know that
-----> equation A
-----> equation B
Solve the system of equations by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (44,161)
see the attached figure
therefore
The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161
Answer:
Walt has 37 quarters. Hank has 33.
Step-by-step explanation:
Solve the given equation for q:
0.25q + 0.25q - 1.00 = 17.50
Simplify this, obtaining:
0.50q = 18.50
Simplifying this by multiplying both terms of this result by 100:
50 q = 1850
Thus, q = 1850/50 = 37
Walt has 37 quarters. Hank has 33.
Note that 37 + 33 = 70, and that 70($0.25) = $17.50. So our results are correct.
