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3 years ago

Solve the system of equations. 57 - 10x = 45 - - 3y + 10x = -5

Mathematics

2 answers:

masha68 [24]3 years ago

7 0

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

Nastasia [14]3 years ago

4 0

Answer:

1) 57 - 10x = 45 answer: x=−51/5

2) - 3y + 10x = -5 answer: x=3/10y+−1/2 or y=10/3x+5/3

Step-by-step explanation: Hope this help :D

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Example 2: Combining Use of the Multiplication and Addition Rules

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The probability of getting 6's on both cubes is $\frac{1}{36}$ .

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Consider the provided information.

A red cube has faces labeled 1 through 6, and a blue cube has faces labeled in the same way.

Part (A) Both cubes show 6’s.

Probability of getting 6 on red cube is $\frac{1}{6}$

Probability of getting 6 on blue cube is $\frac{1}{6}$

Thus, the probability of getting 6's on both cubes is:

$P(\text{Both 6's})=\frac{1}{6}\times\frac{1}{6}=\frac{1}{36}$

Hence, the probability of getting 6's on both cubes is $\frac{1}{36}$ .

Part (B) The total score is at least 11.

The possible number of outcomes in which total score is at least 11 is:

Red shows 6 and Blue shows 5.

Blue shows 6 and Red shows 5.

Blue shows 6 and Red shows 6.

Thus, the probability of total score is at least 11.

$P(\text{Total is at least 11})=\frac{1}{6}\times\frac{1}{6}+\frac{1}{6}\times\frac{1}{6}+\frac{1}{6}\times\frac{1}{6}\\P(\text{Total is at least 11})=\frac{1}{12}$

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