Which one of the following fractions is equivalent to 1/2 a. 1/4 b. 2/4 c. 1/8 d. 2/8

Answers

Answer 1

Answer: B. 2/4 because if you reduce it, it equals 1/2

Answer 2

Answer: 2/4
because if you multiply the numerator and the denominator in 1/2 by 2 you will get 2/4

1×2=2
2×2=4

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Suppose your school plans a musical. The directors goal is ticket sales of at least $4500. Adult tickets are $7.50 and student tickets are $5.00. Let a represent of adult tickets and a represents the number of student tickets. Which inequality represents the director's goal?A)5a+7.5s<4500
B)7.5+5s>4500
C)7.5+5s<_(less or equal)4500
D)7.5a+5s>_(greater or equal)4500

Answers

The director's goal is ticket sales of at least $4500. So, the inequality representing the director's goal is:

7.5a + 5s ≥ 4500

The correct option is:

D) 7.5a + 5s ≥ 4500

Let, set up the inequality based on the given information.

Let "a" represent the number of adult tickets sold and "s" represent the number of student tickets sold.

The revenue from adult tickets is given by: 7.5a (as each adult ticket costs $7.50)

The revenue from student tickets is given by: 5s (as each student ticket costs $5.00)

To find the total ticket sales, we add the revenue from adult and student tickets:

Total ticket sales = 7.5a + 5s

Now, the director's goal is ticket sales of at least $4500. So, the inequality representing the director's goal is:

7.5a + 5s ≥ 4500

The correct option is:

D) 7.5a + 5s ≥ 4500

To learn more on inequality click:

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D because it says you will be getting at least 4500 or more dollars by adding the adult and student tickets

Find the product.(7x - 6)2
A. 49x2 + 36
B. 49x2 - 84x + 36
C. 7x2 - 84x + 36
D. 7x2 + 36

Answers

When we square brackets, it is always advised to write out the brackets fully.
(7x - 6)² becomes
(7x - 6)(7x - 6)

Next, we follow FOIL
First (The first term in the set 1 multiplied by the first term in set 2)
Outer (The first term in set 1 multiplied by the second term in set 2)
Inner (The second term in set 1 multiplied by the first term in set 2)
Last (The second term in set 1 multiplied by the second term in set 2)

F   7x x 7x = 49x²
O  7x x -6 = -42x
I    -6 x 7x = -42x
L -6 x -6 = 36

Now, we add together all the terms

49x² + -42x + -42x +36

Adding a negative is the same as subtracting

49x² - 42x - 42x + 36

Finally, simplify (add together the like terms)

49x² -84x + 36

Answer:

Option B: 49x² -84x + 36

Step-by-step explanation:

Lou eat 6/8 of a pizza. what fraction of the in simplest form, Is left over?

Answers

If he ate 6/8 of the pizza, that means 2/8 is left.
2/8 simplify it, by dividing it by 2 and your answer is...
IT'S 1/4

6/8 pizza was eaten.

Amount left = 1 - 6/8 = 8/8 - 6/8 = (8 - 6) /8 = 2/8

= 2/8 = 1/4

1/4 is left over.

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y^4 + 16y^3 + 48y62 cubic units. Which could be the base area and height of the prism?

Answers

If that's the volume, then the base and height could be anything that multiply together to get that. It could be as simple as pulling out common factors like 16y^2.

16y^2(y^2 + y + 3)

The base area could be 16y^2 and the height could be y^ + y + 3.

Four consecutive integers that add up to 314

Answers

77+78+79+80=314 Is Your Answer

A hiker sees a tree on the river’s edge directly opposite her. She walks along the riverbank for 120 feet and notes that the angle formed by her path and a line to the tree measures 70 degrees. How wide is the river?

Answers

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