Answer:
1) (-6,-9)
times the top equation buy -4 so you cancel out the y
so it be -8x+4y=12 no cancel out the y's
so it be -8x=12 and 5x=6
now combined like terms to get -3x= 36
x = -6 now go plug that back in one of the equations to get y
y = -9
2) (-2,-5)
now on this one you going to substitute y= (2x-1) for y in the otheir eqaution
so it look like 3x-(2x-1)=-1
do your combining of like terms and your division & you get x = -2
now plug x in to y=2x-1 to get y = -5
just divide 17 by 6 and you'll get your mixed number:
2 5/6
First, solve for the volume (V) of each cylinder by the equation,
V = πd²h / 4
where d and h are diameter and height, respectively. Substituting the given values,
V = π(6.19 cm)² x (6 cm) / 4 = 180.56 cm³
To determine the number of cylinders needed, divide the volume of the solid block by the volume of the cylinder,
n = 360 cm³ / 180.56 cm³ = 1.99
Thus, approximately 2 cylinders are needed to mold one block of gold.
<span>If two angles are supplementary to the same angles, then "Their sum would be equal to 180 degrees"
Hope this helps!</span>
Answer:
<u>The correct answer is B. 1/729</u>
Step-by-step explanation:
1. Probability of any of the nine words would be randomly cited.
Using the Laplace Rule, we calculate that probability is 1/9
2. Now let's calculate the probability of any two - word phrase in specific order from those nine in the dictionary. We should remember that the probability of occurrence of two or more statistically independent events is equal to the product of their individual probabilities. So,
1/9 * 1/9 = 1/81
3. Using the same Multiplication Rule, we can calculate the probability of a random generation of the phrase "three blind mice", in that specific order. Because there are other phrases that could be generated with those three words, but in different order. The question was specific about the order.
1/9 * 1/9 * 1/9 = 1/729
<u>The probability of randomly generating the phrase "three blind mice" is 1/729 or 0.137%</u>
