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Oduvanchick [21]
3 years ago
10

Using number lines 80 is 25% of what number

Mathematics
1 answer:
Goshia [24]3 years ago
3 0
25% can be made in to 100% by multiplying it by 4.

Therefore, we can find the answer by multiplying 80 by 4.


80 * 4 = 320
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At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Gnoma [55]

There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Make q the subject of the formula 2(5q^2+1)=c
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3 years ago
What is the square root of 864
skelet666 [1.2K]

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}

Take any number that is repeated twice in the square root, and move it outside of the root:

\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}

\sqrt{2 \cdot 2} = \sqrt{4} = 2

\sqrt{3 \cdot 3} = \sqrt{9} = 3

\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}

\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0
3 years ago
Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the pat
BigorU [14]

Answer:

C 315

Step-by-step explanation:

(12 + 30) * 15/2 = 315

5 0
3 years ago
Charles and his brother are sharing the cost of a video game. The video game costs $30.70. If Charles saved $20 to buy the game
lapo4ka [179]

Answer:


Step-by-step explanation$10.70

4 0
3 years ago
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