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nikklg [1K]
3 years ago
12

25points -3(b+19)=-12 What does b=

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0
What we're dealing with is the Distributive Property. This allows any number/variable outside of a parenthesis to multiply by all numbers/variables inside of the parenthesis.

For example:

2(1 + 3)
2(1) + 2(3)
2 + 6
8.

Now that we've broken down what we're dealing with, let's try to solve.

-3(b + 19) = -12
-3(b) + -3(19) = -12
-3b -57 = -12
Add 57 to both sides to get -3b by itself.
-57 + 57 = 0
-12 + 57 = 45

-3b = 45
Divide both sides by -3 to solve for b.

-3b / -3 = b
45 / -3 = -15

b = -15

I hope this helps! PM me if you need help understanding.
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A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that
Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

P(A\cap B)=P(A).P(B)

Now, According to question , we can get that

P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}

So,

P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}

So, by using the conditional probability , which state that

P(B\mid A)=\frac{P(A\cap B)}{P(A)}

P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}


4 0
4 years ago
Figure pqrst is the image of figure abcde.use the diagram to solve problems 1 and 2
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Answer:

z8if8zvoficjgcitxjfxtcitczdfkzicdutfc

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3 years ago
Simone paid $5.25 for 3 pounds of apples. Which equation represents the cost, in dollars, C, of buying a pounds of apples?
Shalnov [3]
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3 years ago
Solve for "y".<br> 3x – 2y + 7 = x + 2y - 3
Ipatiy [6.2K]

Answer:

3x-2y+7+x+2y-3+= Y = 2 i belive

5 0
3 years ago
Rita drove an average of 55 mi/h on her trip to the mountains.
deff fn [24]

Answer:

Rita drove <u>275 miles</u> in 5 hours

Step-by-step explanation:

Given:

Average speed at which Rita drove = 55 mi/h

Expression to find the distance driven by Rita in h hours isgiven as: 55h

To find the distance driven by Rita in 5 hours.

Solution:

In order to find the distance driven by Rita in 5 hours we will plugin h=5 in the expression given to calculate the distance driven by Rita.

Thus, distance traveled by Rita in 5 hours can be calculated as:

⇒ (55\times 5)\ miles

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