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stich3 [128]
2 years ago
15

Solve the equation 12(-11x + 5) + 7 = 2 (x-9) - 451 algebraically. Answer as a reduced fraction only.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
6 0

The value of x in the equation is 4.2.

<h3>How to calculate the value?</h3>

It should be noted that the equation given is:

12(-11x + 5) + 7 = 2 (x-9) - 451

This will be computed thus:

12(-11x + 5) + 7 = 2 (x-9) - 451

-132x + 60 + 7 = 2x - 28 - 451

Collect like terms

-132x - 2x = - 28 - 451 - 60 - 7

-130x = -546

Divide

x = 546/130

x = 4.2

The value of x in the equation is 4.2.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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For the given pair of events A and B, complete parts (a) and (b) below.
steposvetlana [31]

Answer:

(a) Option A. independent

(b) P(A\ and\ B) = 0.0312

Step-by-step explanation:

Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.

In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.

In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.

When two events are independent then

P(A\ and\ B) = P(A)*P(B)

The probability that a baby is a girl is

P(A) = 0.5

The probability of obtaining a 1 when casting a 16-sided die is:

P(B) = \frac{1}{16}

Then:

P(A\ and\ B) = 0.5 * \frac{1}{16}

P(A\ and\ B) = 0.0312

5 0
3 years ago
Ike Phillips worked 6.7 hours at time-and-a-half pay and 3.4
ikadub [295]

Working out the different pay rates earned by Ike Phillips :

  • Time and half pay rate = $17.055
  • Double pay rate = $22.74
  • Time and half earning = $114.2685
  • Double rate earning = $77.316
  • Gross earning = $646.3845

Let :

Regular rate = $11.37

Total earning for the week = $454.80

Double pay hours = 3.4

Time and half pay hours = 6.7

  • Time and half pay rate = 1.5 × regular pay rate = 1.5 × 11.37 = $17.055

  • Double pay rate = 2 × regular pay rate = 2 × 11.37 = $22.74

  • Time and half earning = rate × time = $17.055 × 6.7 = $114.2685

  • Double rate earning = rate × time = $22.74 × 3.4 = $77.316

  • Gross earning = (regular + time and half + double earning) = $(454.80+114.2685+77.316) = $646.3845

Therefore, Ike's gross earning for the week is $646.3845

Learn more : brainly.com/question/24635246

4 0
2 years ago
Please help me whoever answers correctly I’ll give you a Brainly
olga nikolaevna [1]
I think it’s condensation of steam
7 0
2 years ago
Graph the function <br> Is it a, b, c or d?
Jobisdone [24]

Answer:

D

Step-by-step explanation:

(the line is a / shape, so the slope is positive)

(the line crosses the y axis at (0,-2))

(using the above information, we can conclude that the equation is y=2x-2)

or

slope = m = rise/run = 2/1 = 2

y=mx+b

y=2x+b

Choose any point on the line) (1,0)

0=2(1)+b

b=-2

y=2x-2

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2 years ago
A machine takes 2.8 hours to make 9 parts at that rate,how many parts can machine make in 28.0
BigorU [14]
The answer is 90.
28/2.8 = 10
10 x 9 = 90
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2 years ago
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