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nalin [4]
3 years ago
9

Last? night, 6 friends went out to dinner at a restaurant. They split the bill evenly. Each friend paid ?$14.75. If B represents

the total bill in? dollars, what equation could you use to find the value of? B? A) 6b=14.75 B) b-6=14.75 C) b+6=14.75 D) b/6 =14.75
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

D. \frac{B}{6}=14.75

Step-by-step explanation:

Let B represent the total bill in dollars.

We have been given that last night, 6 friends went out to dinner at a restaurant. They split the bill evenly.

We can find the amount paid by each friend for the dinner by dividing B by 6.

\text{Amount paid for dinner by each friend}=\frac{B}{6}

As we are told that each friend paid $14.75, so upon equating this amount to our equation we will get,

14.75=\frac{B}{6}

Therefore, the equation \frac{B}{6}=14.75 can be used to find the total amount of bill in dollars and option D is the correct choice.

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The point is not a solution to the equation of the line.

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The lifetime of a machine part has a continuous distribution on the interval​ (0, 50​) with probability density function​ f, whe
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Answer:

Probability that the lifetime of the machine part is less than 13 = 0.6782

Step-by-step explanation:

given that f(x)=(10+x)^{-2}

Normalizing the function we get

\int_{0 }^{50}cf(x)dx=1

\int_{0 }^{50}c(10+x)^{-2}dx=1

\therefore a=\frac{1}{\int_{0 }^{50}(10+x)^{-2}dx}

\therefore a=12

P(x< 13)=\int_{0}^{13}12(10+x)^{-2}dx\\\\P(X< 13)=0.6782

4 0
3 years ago
Factor the perfect square trinomial.<br> x(Squared)+4x+4
Nataliya [291]

Answer:

(x + 2)²

Step-by-step explanation:

Given

x² + 4x + 4 ← is a perfect square of the form

(x + a)² = x² + 2ax + a²

Compare like terms

a² = 4 ⇒ a = \sqrt{4} = 2, thus

x² + 4x + 4 = (x + 2)²

6 0
3 years ago
The common ratio of a geometric series is \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction and the sum of the first
myrzilka [38]

Answer:

The common ratio of a geometric series is \dfrac14

4

1 ​

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

r =  \frac{1}{4}

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

s_n=\frac{a_1(1-r^n)}{1-r}

common ratio, n=4 and equate to 170.

\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170

\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4}  \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2}  \\\\\frac{1}{256} a_1 = \frac{1}{2}  \\\\ a_1 = \frac{1}{2}   \times 256\\\\a_1 = \frac{1}{2}   \times 256 \\\\= 128

8 0
3 years ago
Pls answer the question with work, thank you!
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1) Slope = 1, Y-Int = 4, 2) Slope = 2, Y-Int = -2
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