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snow_tiger [21]
3 years ago
7

Given: 8-2y – 3y -9=-11 Prove: y = 2

Mathematics
1 answer:
astraxan [27]3 years ago
3 0
Step 1: group Y on left side
(-2 - 3)y = -5y

step 2: group constants on left side
8 - 9 = -1

step 3: form modified equation
-5y - 1 = 11

step 4: group constants
-5y - 1 + 1 = -11 + 1

step 5: cancel 1 on left side
-5y = -10

step 6: divide each side by -5
-5y/-5 = -10/-5

answer: y = 2
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Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:
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Option A:

The probability that Everett and Finley end up with an even number and a blue disk is \frac{1}{6}.

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

                                                  $=\frac{3}{18}

Divide numerator and denominator by the common factor 3.

                                                  $=\frac{3\div3}{18\div3}

                                                  $=\frac{1}{6}

Option A is the correct answer.

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