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4 years ago

2(4 – 2r) = -2(r + 5) How do you know if it's identity or no solution and show work

Mathematics

1 answer:

lesantik [10]4 years ago

5 0

Answer: r = 9

Step-by-step explanation:

2(4 - 2r) = -2(r + 5)

8 - 4r = -2r - 10 distributed

8 = 2r - 10 added 4r to both sides

18 = 2r added 10 to both sides

9 = r divided both sides by 2

***********************************************************************************

Identity is when you end up with a TRUE statement after moving the x-values to one side of the equation.

For example: 2x + 2 = 2(x + 1)

2x + 2 = 2x + 2 distributed

2 = 2 subtracted 2x from both sides

TRUE so x is all real numbers

No Solution is when you end up with a FALSE statement after moving the x-values to one side of the equation.

For example: 2x + 1 = 2(x + 1)

2x + 1 = 2x + 2 distributed

1 = 2 subtracted 2x from both sides

FALSE so there are no solutions

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Suppose that Frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random.

BaLLatris [955]

Answer:

3/4

Step-by-step explanation:

Given the following :

Number of boxes = 2

First box :

White balls = 3

Blue balls = 2

Second box:

White balls = 4

Blue balls = 1

What is the probability that Frida picked a ball from the first box if she has selected a blue ball?

Probability (P) = (required outcome / Total possible outcomes)

Probability of picking first box : P(F) = 1/2

Probability of not picking second box :P(S) 1/2

Probability of picking blue from first box : P(B | F) = 3/5

Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5

probability that Frida picked a ball from the first box if she has selected a blue ball?

P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))

(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)

3/10 ÷ (3/10 + 1/10)

3/10 ÷ 4/10

3/10 * 10/4

= 3/4

7 0

3 years ago

I need help with this question ASAP!!

Aneli [31]

8 - because there are 20 birds in the cage, so you add 4 and 2/5 of 20 which gives you 12. 20 - 12 = 8

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3 years ago

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hodyreva [135]

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4 years ago

Please Help! I'll Give You 100pts Translate the phrase into a math expression. Twenty divided by the sum of 4 and 1. (20÷4)+1 20

lions [1.4K]

Answer:

B. 20/(1+4)

Step-by-step explanation:

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4 years ago

Read 2 more answers

David's gasoline station offers 21 cents off per gallon if the customer pays in cash and does not use a credit card. Past eviden

Hatshy [7]

0.0931 is the probability that at least 10 pay in cash.

What is a probability simple definition?

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Using binomial distribution with n= 15, and p = 0.40,

P(8<X<12) = P(X=9)+P(X=10) + P(X=11)

= 0.0612+0.0245+0.0074

= 0.0931

Therefore,0.0931 is the probability that at least 10 pay in cash.

Learn more about probability

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2 years ago

2(4 – 2r) = -2(r + 5) How do you know if it's identity or no solution and show work ​

2(4 – 2r) = -2(r + 5) How do you know if it's identity or no solution and show work