Let
x----------> number of blue marbles
y----------> number of red marbles
we know that
3x=2y+18----------> y=(3x-18)/2------> equation 1
and
5x=6y-2-----------> y=(5x+2)/6----------> equation 2
(1)=(2)
(3x-18)/2=(5x+2)/6----> 3*(3x-18)=5x+2
9x-54=5x+2
9x-5x=2+54-------> 4x=56---------> x=14
y=(3x-18)/2-------> y=(3*14-18)/2=24/2-------> y=12
the answer is
14 blue marbles
12 red marbles
Answer
it could be 73/x
Step-by-step explanation:
Answer:
B. $3.56
Step-by-step explanation:
You take $28.48 and divide it by 8
28.48 / 8 = 3.56
/ = divide
Answer:
The measure of angle G is ![53\°](https://tex.z-dn.net/?f=53%5C%C2%B0)
Step-by-step explanation:
Let
F ----> the measure of interior angle F of the triangle FGH
G ---> the measure of interior angle G of the triangle FGH
H ---> the measure of interior angle H of the triangle FGH
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
----> equation A
----> equation B
----> equation C
Solve the system of equations by substitution
substitute equation B and equation C in equation A
![F\°+(2F-5)\°+(4F-18)\°=180\°](https://tex.z-dn.net/?f=F%5C%C2%B0%2B%282F-5%29%5C%C2%B0%2B%284F-18%29%5C%C2%B0%3D180%5C%C2%B0)
Solve for F
![7F-23=180](https://tex.z-dn.net/?f=7F-23%3D180)
![7F=180+23](https://tex.z-dn.net/?f=7F%3D180%2B23)
![F=29\°](https://tex.z-dn.net/?f=F%3D29%5C%C2%B0)
Find the measure of angle G
![G=2F-5](https://tex.z-dn.net/?f=G%3D2F-5)
substitute the value of F
![G=2(29)-5=53\°](https://tex.z-dn.net/?f=G%3D2%2829%29-5%3D53%5C%C2%B0)