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3 years ago

Solve the equation. 6 = 2(x + 8) - 5x A. 2/3 B. 3 1/3 C. - 2/3 D. -3 1/3

2 answers:

7 0

$6 = 2(x + 8) - 5x \\ \\ 6 = 2x + 16 - 5x \\ \\ 6 = -3x + 16 \\ \\ 6 - 16 = -3x \\ \\ -10 -3x \\ \\ \frac{-10}{-3} = x \\ \\ \frac{10}{3} = x \\ \\ x = \frac{10}{3} \\ \\ Answer: \fbox {x = 10/3} \ or \ \fbox {x = 3 1/3}$

Zinaida [17]3 years ago

4 0

6 = 2(x+8) - 5x
⇒ 2x+ 2*8 -5x= 6
⇒ (2x -5x)+ 16= 6
⇒ -3x = 6 -16
⇒ -3x = -10
⇒ x= -10/(-3)
⇒ x= 10/3
⇒ x= 3 1/3

The correct answer is B. 3 1/3~

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Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have

serg [7]

Answer:

On average, customer spends approximately 98 min at Little’s Law Firm

Step-by-step explanation:

Given the data in the question;

Arrival rate λ = 6 per 8 hours = 6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute

Service rate δ = 1 / 50 min = 0.02 per minute

Standard deviation σ = 20 min

Now,

Utilization rate U = Arrival rate / Service rate

U = 0.0125 / 0.02

Utilization rate = 0.625

Number of people in Queue will be;

⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )

we substitute

⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )

⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )

⇒ 0.453125 / 0.75

Number of people in Queue = 0.6042

Now

Wait in the Queue = Number of people in Queue / λ

= 0.6042 / 0.0125 = 48.336

Wait Time in Office = Wait in the Queue + ( 1 / δ )

= 48.336 + ( 1 / 0.02 )

= 48.336 + 50

Wait Time in Office = 98.336 ≈ 98 min

Therefore, On average, customer spends approximately 98 min at Little’s Law Firm

3 0

3 years ago

Please help, seriously confused

Rufina [12.5K]

Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = $\frac{2}{3} *2x= \frac{4}{3}x$

3.She doubled the width...
height = 2x
width = $2*\frac{4}{3}x = \frac{8}{3}x$

height * width = area

$2x * \frac{8}{3}x=139 \ 968 \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}= 8 \ 748*3 = 26 \ 244 \\ \\ x= \sqrt{26 \ 244} = 162 \ mm$

Original height was 162 mm

6 0

3 years ago

Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the

Vikki [24]

Answer 
18 feet and 4.5 inches

Explanation 
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.

3 0

3 years ago

The circulation of a newsletter decreased from 5300 to 3630. Find the percent of decrease in circulation to the nearest percent.

Rainbow [258]

((3,630−5,300)÷5,300)×100=−31.5%

8 0

3 years ago

Y=-7X-14 1. What is the y-intercept of the graph of the given function? How do you know?

34kurt

Answer:

(0, -14)

Step-by-step explanation:

The y intercept of the graph of the function is at (0, -14)

In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).

We can also find the y intercept by setting x equal to 0, then solving for y.

Substitute 0 for x:

y = -7x - 14

y = -7(0) - 14

y = 0 - 14

y = -14

So, the y intercept is at (0, -14)

7 0

3 years ago