To find the value of X you would have to solve the equation.
Example: for question 2
Answer:
1)
32x^2 - 28x - 15
2)
30x^2 + 54x - 12
Step-by-step explanation:
1.
(8x+3)(4x-5)
Using FOIL
= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)
= 32x^2 - 40x + 12x - 15
= 32x^2 - 28x - 15
2.
(10x-2)(3x+6)
Using FOIL
= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)
= 30x^2 + 60x - 6x - 12
= 30x^2 + 54x - 12
There are the combinations that result in a total less than 7 and at least one die showing a 3:
[3, 3] [3,2] [2,1] [1,3] [2,3]
The probability of each of these is 1/6 * 1/6 = 1/36
There is a little ambiguity here about whether or not we should count [3,3] as the problem says "and one die shows a 3." Does this mean that only one die shows a 3 or at least one die shows a 3? Assuming the latter, the total probability is the sum of the individual probabilities:
1/36 + 1/36 + 1/36 + 1/36 + 1/36 = 5/36
Therefore, the required probability is: 5/36
Yes by 10's and hundreds and ones place and even and odd. And pine and composite
Answer:
4/6 of a pizza.
Step-by-step explanation:
We know that:
Both pizzas are of the same size.
Jasmine cut her's into 12 slices.
Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.
Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.
This means that:
X of a pizza + 2/6 of a pizza = 1 pizza
X + 2/6 = 1
X = 1 - 2/6
X = 6/6 - 2/6 = 4/6
Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.
