The correct answer among the choices presented above is option C. The expression yz(xy2z + y + x) is the completely factored form of the given equation <span>xy3z2 + y2z + xyz. When you distribute yz in option c, you will see that the answer is equal to the given equation. </span>
Answer:
Step-by-step explanation:
Use the intercept method of graphing a straight line:
Let x = 0. We get y = 1. This is the y-intercept (0, 1).
Let y = 0. We get x = 6/11. This is the x-intercept (6/11, 0).
Plot both points and then draw a straight line through them.
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153
The Zoo costs more than the Science Center.
To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
Answer:
sorry foe being late
Step-by-step explanation:
