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damaskus [11]
3 years ago
12

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

e can be 0 interactions. If there are 2 children, there can be only 1 interaction. If there are 3 children, there can be 4 interactions. If there are 4 children, there can be 9 interactions. How many interactions will there be for 8 children? A. 49 B. 64 C. 36 D. 40
Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

The answer to this question is option A. 49

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On the first math test, Keiko answered 19 out of 25 questions correctly. On the
m_a_m_a [10]

Answer:

Keiko got a better answer on the test on her second test, and you could compare these two ratios as they are written.

Step-by-step explanation:

First: Convert each of the scores into percentages:

How do you convert ratios to percentages? Well, first we have to convert the ratio to a decimal or a fraction. Let's convert it to a fraction. So, 19 out of 25 will become \frac{19}{25}, and 17 out of 20 will become \frac{17}{20}. To convert a fraction to a percentage:

  • Divide the numerator by the denominator:

19 ÷ 25 = 0.76                                        AND                                    17 ÷ 20 = 0.85

  • Multiply your quotient by 100

0.76 x 100 = 76                                      AND                                 0.85 x 100 = 85

  • Add the percent sign

76%                                                          AND                                                   85%

Now the two quantities are easier to compare. We can obviously see that 85% is bigger [and better] than 76%. So, the ratio that equals 85% - 17 out of 20 - is a better grade.

The second question was: Can you compare these two ratios as they are written? Explain why or why not.

Yes, you can compare these two ratios, just find the [positive] difference between the amount that she scored and the total number of scores that could be gained.

25 - 19 = 6

20 - 17 = 3

Since the equation with 20 and 17 in it has a smaller difference, it is most likely to have a greater value [because that means that Keiko got more right and less wrong, which means a greater mark which is also a greater quantity].

Thanks,

Topic: Quantity Relationships, Quantity Conversions

4 0
3 years ago
X − 3y if x = 3 and y = −2.
Korvikt [17]

Answer:

Step-by-step explanation:

x - 3y

3 - 3(-2) = 3 + 6 = 9

5 0
3 years ago
Which is greater -4 or -5
pychu [463]

Answer:

Step-by-step explanation:

-4 it’s closer to zero

3 0
3 years ago
Read 2 more answers
The product of 8 and b is less than or equal to 13
Ugo [173]

Answer:

1 or 0

Step-by-step explanation:

8 x b = 13

You can't divide 8 by two because that equals 16 so 8 x 1 is less than 8.

And 8 x 0 is 0

7 0
3 years ago
Pat is painting a stage backdrop for a play. The paint he is using covers 90 square feet per quart. How many quarts of paint sho
Scorpion4ik [409]
A) If you cut off half the peaks (3.5 ft down from the top), they will just fill the valleys making a rectangle 18.5 ft by 30 ft. The area is the product of these dimensions.
  A = (18.5 ft)*(30 ft) = 555 ft²

b) To determine the number of quarts of paint required, divide this number by 90 ft². Since you cannot buy a partial quart, if there is any remainder, use the next higher integer number of quarts.
  555/90 ≈ 6.2 so Pat should buy 7 quarts of paint.
4 0
3 years ago
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