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ycow [4]
3 years ago
6

Can anyone tell me how to Simplify this 6x + 6 + 5x - 8.

Mathematics
2 answers:
icang [17]3 years ago
8 0

Answer:

11x -2

Step-by-step explanation:

you add like terms so this will be the answer.

Serjik [45]3 years ago
5 0

Answer:

11x - 2

Step-by-step explanation:

6x + 6 + 5x - 8

Simplify all the like terms

(6x + 5x) + ( 6 - 8 )

11x - 2

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Felix has $100 in the bank and writes a check for $150. He now has
MAXImum [283]

Answer:

Felix has 250 dollars

No change

Lucas has 5 dollars

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe
kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

4 0
2 years ago
A tank contains 100 gal of brine made by dissolving 80 Ib of salt in water. Pure water runs into the tank at the rate of 4 gal/m
ohaa [14]

Answer:

Step-by-step explanation:

Amount of brine = 100 gal

amount of salt = 80 lb

rate of water running = 4 gal / min

Let A be the amount of salt in lb in the tank at any time t.

(a) dA/dt = rate of salt in - rate of salt out

Rate of salt in = 0

rate of salt out = A x 4 / 100 = A / 25 lb/min

So, dA/dt = 0 - A/25 = - A/25 lb/min

\frac{dA}{A}=-\frac{1}{25}dt

\int \frac{dA}{A}=-\frac{1}{25}\int dt

A(t) = C e^{-0.04t}

When t = 0, A = 80 lb

So,

A(t) = 80 e^{-0.04t}

(b) Now, A = 40 lb

So,

40 = 80 e^{-0.04t}

0.5 = e^{-0.04t}

take log on both the sides

ln 0.5 = - 0.04 t

t = 17.3 minutes

8 0
3 years ago
Evaluate:<br> 4 + -2 + -7
krok68 [10]

Answer:

-5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A diagram of Eric pool as shown below. He plans to fill this pool to a depth of 4ft with a garden hose that flows at 80ft expone
Alex777 [14]
<span>The Volume of a Cylinder  =   </span><span>π <span>• r² • height<span>
</span></span></span>radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume = <span> <span> <span> 2,290 cubic feet</span></span></span>
The hose delivers 80 <span>cubic feet per hour so it will take:
</span>2,290 / 80 = <span> <span> <span> 28.625 </span> </span> </span> hours
**************************************************************************
The volume of the pool is:
volume = PI * 182.25 * 4.5
= <span> <span> <span> 2,576.</span></span></span>5 cubic feet


6 0
3 years ago
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