The GCF is the greatest common factor.
Find the factors for 45, 90, and 75;
45: 1, 3, 5, 9, 15, 45
90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
75: 1, 3, 5, 15, 25, <span>75
Now find the biggest factor they have in all, which is 15.
Hope this helps. </span>
Answer:
x = -1 and y = 18
Step-by-step explanation:
Given the system of equations
y + 8x = 10... 1
2y - 4x = 40 ... 2
From 1; y = 10-8x
Substitute into 2;
2(10-8x) - 4x = 40
20 - 16x - 4x = 40
20 - 20x = 40
-20x = 40 - 20
-20x = 20
x = -1
Recall that y = 10-8x
y = 10 - 8(-1)
y = 10 + 8
y = 18
therefore your answer is x = -1 and y = 18
Answer:
x > 3
Step-by-step explanation:
You have the following inequality:
In order to obtain the solution for x, you first apply distribution property in the left term of the inequality:
Next, you sum 2x on both sides, and you subtract 28 on both sides too:
(where you have simplifies similar terms)
Finally, you divide the inequality for -6, but you take into account that the inequality symbol change (because the operation with a negative term):
hence, the solution to the inequality is x > 3
10 marbles represent 50% of the marbles. To get this, turn the percent into a decimal. 50% equals 0.50. You the multiply the total amount of marbles (20) by the decimal, equaling 10 marbles.
