Using the elimination method
2(6x - 4y = - 24)
4x - 8y = -32
==>12x - 8y = -48
4x - 8y = -32
subtract top to bottom
==>8x = -16
4x - 8y = -32
==>x = -2
4(-2) - 8y = -32
==>x=2
-8y = -32 + 8
==>x = -2
-8y = -24
==>x=-2
y = 3
Answer:
The theoretical probability of drawing a red marble is 1/3.
Step-by-step explanation:
1. Add all of the marbles together to get total marbles. 16 + 12 + 8 = 36.
2. Create a fraction, with numerator being favorable outcomes and denominator being total possible outcomes. In this case it would be 12/36.
3. Since it is asking for a reduced fraction, simplify 12/36 to 1/3.
Answer:
-3, 3
Step-by-step explanation:
Answer:
x * 3 + 13 ≤ 7
Step-by-step explanation:
three times a number
x * 3
13 more than that
x * 3 + 13
less than or equal to 7
x * 3 + 13 ≤ 7
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Answer:
4.4 cubic inches
Step-by-step explanation:
From the question;
- Radius of the cone is 1.2 inches
- Height of the cone is 2.9 inches
We are required to determine the volume of a cone;
Volume of a cone is given by the formula;
V=1/3πr²h
Therefore; taking π to be 3.142
Volume =1/3 × 3.142 × 1.2² × 2.9
= 4.373664
= 4.4 cubic inches (to the nearest tenth)
Thus, the volume of a cone is 4.4 cubic inches