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jarptica [38.1K]
2 years ago
12

Ms.Crest surveyed her class and found that 15 out of 30 brushed there teeth more than twice a day. Write a ratio as a fraction i

n simplest form, then write it as a % and a decimal.
Mathematics
1 answer:
densk [106]2 years ago
6 0
Ratio: 15:30 = 1:2
Fraction: 1/2
Percent: 50%
Decimal: 0.5
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Roll a number cube. If the number cube comes up odd, you win the same number of points as the number on the cube. If the number
laila [671]

Answer:

–0.5

Step-by-step explanation:

Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.

The odd rolls are 1, 3 and 5.  The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.

The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.

The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.

Rolling any even number gives us the same value.  The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.

Together we have

1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5

5 0
3 years ago
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Which of the following tables represent input and output values of a linear function? Select all that apply. Graph them on grid
egoroff_w [7]

Answer:

noemqp

Step-by-step explanation:

3 0
3 years ago
What is 1/3 divided by 5/6?<br> Please help me don’t get it
hammer [34]

Answer:

=0.4

Step-by-step explanation:

1/3= 0.33

5/6=0.83

Then: 0.33/0.83 = 0.4

You can also do 6/15 which results from (1*6)=6 and (3*5)=15

3 0
2 years ago
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4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0
3 years ago
If PA = 10, and BE = 21, find BP
Sergeu [11.5K]

Answer: 25

Step-by-step explanation:

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3 years ago
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