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allsm [11]
3 years ago
9

Can someone answer 33-37 for 20 points

Mathematics
1 answer:
UNO [17]3 years ago
7 0

33. A variable with a negative exponent would be 1/x^2 so it would look like this:

q^6/q^2  Now you can subtract or divide these exponents:

= <u><em>q^4</em></u>

34. Using the same method do this

3a x 2b^3/ b^5 a^2

= 15ab^3/ b^2 a^2

= <u><em>15b / a</em></u>

36. 4g^5h^3 / 8g^2h

Use the same method above, you can divide 4/8 and you'll get 1/2

=<em> </em><u><em>1h^2 / 2g^3</em></u>

37. 6c^4d^2 / cd

= <u><em>6c^3d</em></u>

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zavuch27 [327]

Answer: 4500 grams

Step-by-step explanation: 1 kilogram is 1,000 grams, so 4 kilograms is 4,000 grams, and half a kilogram is 500 grams. So, 4000 + 500 = 4,500

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What is the probability of rolling a sum of 3 on a standard pair of six-sided dice?
salantis [7]

To solve this problem, let us recall that the formula for probability is:

Probability = total number of successful events / total events

 

Where in this case, an event is considered to be successful if the sum is 3 on the pair of six sided dice.

 

First, let us calculate for the total number of events. There are 6 numbers per dice, therefore the total number of combinations is:

total events = 6 * 6 = 36

 

Next, we calculate for the total number of combinations that result in a sum of 3. We can identify that there are only two cases that result in sum of 3. That is:

1st case: first dice rolls 1, second dice rolls 2

2nd case: first dice rolls 2, second dice rolls 1

 

Hence, total number of successful events = 2. Therefore the probability is:

Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%

5 0
3 years ago
Learning Task 1: Read and analyze each problem carefully. Write your final answer in your notebook based on the given questions
solmaris [256]

Solving the given problems using the appropriate arithmetic operation such as multiplication, divison and addition, the answers are :

  • <em>4</em><em> </em><em>people</em><em> </em>
  • <em>1000</em><em> </em><em>ml</em><em> </em>
  • <em>$</em><em>1960</em>

Total size of pizza = 2 \frac{2}{3} = \frac{8}{3}

Number of pizzas gotten by each person = \frac{2}{3

<u>Number of people sharing pizza</u> :

\frac{8}{3} \div \frac{2}{3} = \frac{8}{3} \times \frac{3}{2} = 4 \: people

2.)

  • <em>Volume bottle = 600 ml</em>

  • Fraction of water = \frac{3}{5}

Volume of full bottle = \frac{3}{5} \times n =  600 = \frac{3n}{5} = 600

Volume of full bottle = \frac{3n}{3000}

Volume of full bottle = n = \frac{3000}{3} = 1000 ml

3.)

  • Amount left = Php. 980
  • Fraction spent = \frac{4}{8}

<em>Let the monthly salary = m</em>

Fraction left = 1 - \frac{4}{8} =  \frac{4}{8} = \frac{1}{2}

Hence,

\frac{1}{2} \times m = 980

\frac{m}{2} = 980

m = 980 \times 2 = 1960

Therefore, Joel's monthly salary is $1960

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3 years ago
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A gardener is planting two types of trees:
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Answer:

Step-by-step explanation:

let y represent number of years...

9 ft tall = (12 * 9) = 108 inches

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Type A : 9 ft (or 108 inches) and grows 6 inches per year..

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Type B : 10 ft (or 120 inches) and grows 3 inches per yr

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check...

108 + 6(37 1/3) = 120 + 3(37 1/3)

108 + 6(112/3) = 120 + 3(112/3)

108 + 672/3 = 120 + 336/3

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336/3 = 112

112 = 112 (correct)

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Step-by-step explanation:

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