Answer:
6:15
Step-by-step explanation:
We can simplify the ratio 6 : 15 by dividing both terms by the greatest common factor (GCF).
The GCC of 6 and 15 is 3
Divide both terms by 3: 6 ÷ 3 = 2 & 15 ÷ 3 = 5
Reducing to simplest form:
6 : 15 = 2 : 5
Answer:
None of the above.
Step-by-step explanation:
The system of equations which should have the same solution as the system below;
x + 4y = 11
4x + 2y = 16
is
x + 4y = 11
-8x - 4y = - 32
This system of equations is missing from your choices.
The trick is that -2 is multiplied to the second equation of the first system.
i.e -2 (4x + 2y = 16) gives; -8x - 4y = -32
Well 1 is a perfect square and it only has 1 factor.
16 is a perfect square and its' factors are 1, 2, 4, 8, and 16
Eight less than ten is another way of saying 10-8. So it is saying 2 times a number is 82. This can be represented as 2x=82. Divide both sides by 2 to get x=41. So the "number" is 41.
Answer:
(2,2) , (0,0), (5,3)
Step-by-step explanation:
To check which points are solution to the system of inequalities, substitute the value of those points in the two inequalities and make sure are both true.
y ≤ x
y > -x +1
Point (x=2, y=2)
2 ≤ 2 ✅
2 > -2 +1 ⇒ 2 > -1 ✅
Because both inequalities are true using the coordinates of this point then the point IS a solution to the system of inequalities.
Point (x= -2, y=2)
2 ≤ -2 ❌
We stop checking because we need both inequalities to work. This point IS NOT a solution.
Point (x=0, y=0)
0 ≤ 0 ✅
0 > -0 +1 ⇒ 2 > 1 ✅
This point IS a solution.
Point (x=0, y=5)
5 ≤ 2 ❌
This point IS NOT a solution.
Point (x=2, y= -2)
-2 ≤ 2 ✅
-2 > -2 +1 ⇒ -2 > -1 ❌
This point IS NOT a solution.
Point (x=5, y=3)
3 ≤ 5 ✅
3 > -5 +1 ⇒ 3 > -4 ✅
This point IS a solution.
Point (x=4, y= -3)
-3 ≤ 4 ✅
-3 > -4 +1 ⇒ -3 > -3 ❌
This point IS NOT a solution.
Point (x=-2, y=-2)
-2 ≤ -2 ✅
-2 > - -2 +1 ⇒ -2 > 2+1 ⇒ -2 >3 ❌
This point IS NOT a solution.
