Find two consecutive whole numbers that square root 116 lies between

Answers

Answer 1

Answer:

10 and 11

√116 = 10.77 → ( to 2 decimal places )

hence 10 < √116 < 11

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A six-sided number cube is rolled. Find the probability of rolling a 5 or an even number?A. 1/12
B. 1/3
C. 2/3
D. 11/12

Answers

Well there are 3 even numbers on a six sided number cube. Then there is the 5. So together that would be 4 of six, and simplified that would be 2/3.

c bc 4/6 simplified is 2/3

How many quarts are in 2 and 3/4 of a gallon

Answers

A gallon consists of 4 quarts so what you want to do is convert the mixed number: 2+3/4 into an improper fraction: 11/4. But you ignore the /4 part because a quart = a gallon/4. So the 4s cancel out and you're left with 11. So the answer is 11 quarts in 2+3/4 gallons.

A gallon consists of 4 quarts so you want to do is convert the mixed number: 2+3/4 into an improper fraction: 11/4. But you ignore the /4 part because a quart = a gallon/4. So the 4s cancel out and you're left with 11. So the answer is 11 quarts in 2 3/4 gallons.

In a school election, 3/4 of the students vote. There are 1464 ballots. Write an equation using s as the variable to represent the total number of students.

Answers

it would be 75% of the students so divide

Final answer:

The equation is (3/4)*s = 1464. By solving for 's', we find that there are 1952 students in total at the school.

Explanation:

In the problem, it's given that 3/4 (or 75%) of the total number of students in the school voted in an election, and that number amounts to 1464 voted ballots. We can write this as a proportion of fractions to determine the total number of students (s). The equation is (3/4)*s = 1464.

To solve for the total number of students in the school, or s, you would divide 1464 by (3/4). This results in s being equal to 1952 students. This means that there are 1952 students in total at the school.

Learn more about Proportions here:

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Solve 6x(6x) + 11x - 35 = 0

Answers

$36x^2 + 11x - 35=0\n\n (-b \pm √( b^2 -4( a)(c)) )/(2(a))\n\n (-11\pm √(11^2 -4(36)(-35)) )/(2(36))\n \n (-11\pm √(5161 ) )/(72)\n\n\n x = 0.8450013919812116\n\n \text{ } x = -1.1505569475367672$

6x(6x) + 11x - 35 = 0
36x^2 + 11x - 35 = 0
36x^2 + 11x = 35

-11 + or - square root 11^2 - 4 (36) (-35)
  divided by
2 * 36

-11 + or - square root 5161
divided by
72

-11 + or - 71.84
divided by
  72

There are two answers to the problem:
-11 + 71.84 / 72 = -10 rounded
-11 - 71.84 / 72 = -12. rounded
welcome :/

Which of the following statements about the number line is true?

Answers

Numbers get smaller as you move to the left on the number line

You need 2 eggs for a muffin recipe that makes 12 muffins. If you want to make 36 muffins, what should you do?

Answers

Solve:-

36 ÷ 12 = 3
3 batches of 12 muffins each.

2 × 3 = 6
You will need 6 eggs to make 36 muffins, when using 2 eggs per 12 muffins.

CHECK OUR WORK:-

6 / 2 = 3
We were RIGHT!!!!

So, to make 36 muffins you need 6 eggs.

Solve:-

36 ÷ 12 = 3
3 batches of 12 muffins each.

2 × 3 = 6
You will need 6 eggs to make 36 muffins, when using 2 eggs per 12 muffins.

6 / 2 = 3

So, to make 36 muffins you need 6 eggs.

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