Answer: 81, 243, 729
Step-by-step explanation:
<u>STEP ONE: Find a pattern in the sequence</u>
3 ÷ 1 = 3
9 ÷ 3 = 3
27 ÷ 9 = 3
As we can see from the given sequence, each number multiplies 3 to get the next term.
<u>STEP TWO: Find the next three terms</u>
27 × 3 = 81
81 × 3 = 243
243 × 3 = 729
Hope this helps!! :)
Please let me know if you have any questions
Answer:
"no additional days of food need to be ordered."
Step-by-step explanation:
Suppose initial quantity of food is x units
Assuming each student eats 1 unit of food per day,
x = 30 * 100 = 3000 units of food
In 2 days, food eaten:
100 * 1 * 2 = 200 units
So food left after 2 days is 3000 - 200 = 2800 units
Now, there are 140 students. They stay 2 weeks (14 days) - 2 = 12 more days
So food eaten in 12 days:
140 * 1 * 12 = 1680 units
<u>THus, after total 14 days gone, the amount of food left is:</u>
2800 - 1680 = 1120 units
Half students left, so there are 70 students left for the last 16 days. How much food would they need?
70 * 1 * 16 = 1120 units
And there are exactly 1120 units left. So, no additional days of food need to be ordered.
#1. The number line goes by intervals of 0.2, so if A is equal to 7.28, then it’ll go in between the first line after 7 and the second line after 7. This is similar with B and C. B will go on the second line after 9, and C will go in between the second and third line after 10.
#3. You started out well. You combine your like terms on the sides of the equation to get 8x - 2 = 4x + 6. Then, you’ll subtract 4x to get 4x - 2 = 6. Add 2 to get 4x =8, then divide by 4 to get x = 2. On the other one, combine your terms to get -6 + 5y = 29. Then, add 6 so you have 5y = 35. Divide by 5 to get y = 7.
#4. When you classify a number, you need to classify it as whatever it is in your disgramdiagram, and the larger ones as well. For example, -2 is an integer, so it is also a rational number. 3/4 is a rational number. The square root of 2 over 2 is an irrational number. 292 is a counting, whole, integer, and rational number. -19/3 is a rational number. 6.9696... is an irrational number. (It has the three dots [...] so it’ll go on forever with no pattern.)
I hope this helps! Please tell me if you need any clarification. :)
Hey there!
For Part A, because the amount earned on Sunday isn't specified, we can call this additional income x. Because we're writing an expression, we don't need an equal sign. The expression will be (x + 14).
For Part B, "2 less than" will mean "– 2" and "twice than" will mean the amount of dogs that Alicia walked times 2. We can call the amount that Alicia walked y to avoid confusion with the last expression (though you could use whatever variable here) and your expression will be (2y – 2).
Hope this helped you out! :-)
Answer:
Step-by-step explanation:
Given inequality:
In order to represent the solution on the number line, we will first solve the given inequality.
We have
Subtracting both sides by 4.
Dividing both sides by -3.
[On dividing both sides by a negative number the sign of the inequality reverses.]
So, solution of this inequality will range from -3 to -∞
The number line is represented below.
