Part A
4 < 5 < 9 is given to us. Apply the square root to each term to end up with this inequality: sqrt(4) < sqrt(5) < sqrt(9)
So sqrt(5) is between <u>sqrt(4)</u> and <u>sqrt(9)</u>
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Part B
Simplify those two mentioned square roots
sqrt(4) = sqrt(2^2) = 2
sqrt(9) = sqrt(3^2) = 3
Therefore, sqrt(5) is also between <u>2</u> and <u>3</u>
We can see this through using a calculator: sqrt(5) = 2.23607 approximately
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Part C
We can now say:
2 < sqrt(5) < 3
Multiply all three sides by 6
6*2 < 6*sqrt(5) < 6*3
So the expression 6*sqrt(5) is between <u>6 x 2</u> and <u>6 x 3</u>
Sure enough, a calculator confirms this
6*sqrt(5) = 13.416408
since 6*2 = 12 and 6*3 = 18. We see that 13.416 is between 12 and 18.
Cost of 1 pack of trading cards = xTotal packs purchased = 10Cost of 10 packs before discount (A) = 10 * xDiscount percentage = 20 %Discount amount per pack = (20/100) * xDiscount amount for 10 packs (B) = (20/100) * x * 10Cost of 10 packs after discount is (A) - (B) = (10 * x) - ((20/100) * x * 10)Simplifying, we get x * (10 - 200/100) = x * (10 - 2) = x * 8 = 8 * xCost of shipping = $3.99Total cost of 10 packs of trading cards after discount and including cost of shipping can be represented by the algebraic expression 8 * x + 3.99 or 8x + 3.99
So you can look at the first digit of each number: you have a 3, 2, 3. You know 2 is less than three. So 2,965,006 is the smallest number. You had two numbers where 3 was the first digit, so you look at the next number: a 5 and 2. 2 is smaller than 5, so 3,261,636 will be the next smallest.
Overall, least to greatest is:
2,965,006; 3,261,636; and finally 3,516,235 :)
Answer:
45a + 32c
Step-by-step explanation:
a tickets at $45 per ticket cost 45a
c tickets at $32 per ticket cost 32c
The total cost is
45a + 32c
Answer:
b.
Step-by-step explanation:
its basically saying since x equals 10 and 10 is on both sides that if you add y to both sides itll still be equal hence, addition property of equality.