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Anon25 [30]
2 years ago
7

In a paint factory, an old conveyer line has filled 10 barrels of paint, and is filling more at a rate of 2 barrels per minute.

A worker just switched on a newer line that can fill 3 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Simplify and put into Slope-Intercept form
Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

see below

Step-by-step explanation:

First line:

y = mx+b  where m is the slope and b is the y intercept

y = 2x + 10

Second line

y = mx+b

y = 3x+0  since there are no barrels filled on this line when they flip the switch

Setting the two equations equal

2x+10 = 3x

Subtract 2x from each side

2x+10-2x= 3x-2x

10 = x

Each line will have filled 10 barrels when they numbers are equal.

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Can you write down each rule for every table with inputs and outputs?
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3 years ago
I really need help this is 6th grade
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7 0
2 years ago
Read 2 more answers
A=130(1.05)^x by what percent does the balence increase each year?
frosja888 [35]

Answer:

5%

Step-by-step explanation:

The question showing a growing function that commonly used in compound interest calculation. The formula for compound interest is:

A = P (1 +r) ^ t

A= amount of the balance after a period of t

P= principal, the initial money deposit

r= rate

t= time

The percent of balance increase should be represented by the rate(r). In this equation, the principal will be 130, (1+r) will be 1.05, and time will be x.

The value of rate (r) will be:

(1+r) = 1.05

r= 1.05-1= 0.05 = 5%

6 0
3 years ago
Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adu
Pavlova-9 [17]

Answer:

Mean = 3.4

Variance = 1.088

Standard deviation = 1.0431

Step-by-step explanation:

P=0.68\\ \\N=5

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is m=N\cdot p

Thus,

m=5\cdot 0.68=3.4

The variance of the binomial distribution is s^2=Np(1-p), where s^2​​ is the variance of the binomial distribution, so

s^2=5\cdot 0.68\cdot (1-0.68)=3.4\cdot 0.32=1.088

The standard deviation s is the square root of the variance s^2, so

s=\sqrt{1.088}\approx 1.0431

3 0
2 years ago
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