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3 years ago

2) Check to see if x = 2 is the solution to this equation Explain your

1 answer:

3 0

X=2 is not the answer because when substituting 2 for x in both problems the answers are different.
-4(2)-12=-20
2(2)-8=-4
-20 does nothing equal to -4 which means x=2 is invalid

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Faye pays her family phone bill, and Jonathan’s family phone bill with her card and jonathan pays her back. If Faye bill is $120

nika2105 [10]

Answer:

Jonathan has to pay Faye back US$ 240

Jonathan has 4 people on his bill and Faye has 6.

Step-by-step explanation:

1. Let's find out the amount of the phone bills, this way:

Total of the two bills = US$ 600

Faye's bill = US$ 120 more than Jonathan's

Jonathan's bill = x

Solving for x, we can use this equation:

x + x + 120 = 600

2x + 120 = 600

2x = 600 - 120

2x = 480

x = 480/2 = 240

Jonathan has to pay Faye back US$ 240

2. Let's find out the number of people on each bill, this way:

Faye has two people more on her bill than Jonathan

Number of people on Jonathan's bill = x

Number of people on Faye's bill = x + 2

We will use the following equation:

240 * (x + 2) = 360x

240x + 480 = 360x

240x - 360x = -480

-120x = - 480

x = -480/-120

x = 4 ⇒ x + 2 = 6

Jonathan has 4 people on his bill and Faye has 6.

5 0

3 years ago

There are three motors available to repair Ralph’s vacuum cleaner. Motor #1 has a 65% chance of breaking by the end of the week.

Orlov [11]

Answer:

0.619

Step-by-step explanation:

from the question we have the following data:

probability of motor 1 breaking = 65% = 0.65

probability of motor 2 breaking = 35% = 0.35

probability of motor 3 breaking = 5% = 0.05

since we have 3 motors the probability of any of them breaking down is = $\frac{1}{3}$

but what the question requires from us is the conditional probability of the first one being installed

we have to solve this questions using bayes theorem

such that:

$\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3} }$

= $\frac{0.2167}{0.2167+0.1167+0.0167}$

= $\frac{0.2167}{0.3501}$

= 0.618966

approximately 0.619

therefore the conditional probability ralph installed the first motor is 0.619

8 0

3 years ago

A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i

Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

7 0

3 years ago

You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a

Sunny_sXe [5.5K]

Answer:

Agency C offers the least expensive overall fee

Step-by-step explanation:

Alone from gross salary, you would make 24000 a year.

Agency A

24000 - ( 2000 x 0.5)

= 23,000

$1000 fee

Agency B

24000 - ( 2000 x 0.1 ) x 6

= 24000 - 200 x 6

= 24000 - 1200

= 22,800

$1200 fee

Agency C

24000 - (500 + 100)

= 24000 - 600

= 23,400

$600 fee

4 0

2 years ago

PLEASE HELP ME ( MULTIPLE CHOICE)!!

Anton [14]

Answer:

Step-by-step explanation:

an undefined slope has the same x value no matter what y value it has, therefore, D

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4 0

3 years ago