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ololo11 [35]
3 years ago
13

Employee B got a one time bonus of $90. He makes $13 an hour. If he was paid $415, how

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0

Answer:

y=mx+b format... 8th grade math class memories...ahhh

Step-by-step explanation:

Employee B-

one time bonus of 90 gets plugged into the b spot

13 an hour goes into the m space

415 total paid goes into the y spot

415=13(x)+90

subtract 90 from 415 and 90

325=13(x)

divide 325 by 13 and 13

25=(x)

Now plug x into the y=mx+b format with all your other numbers to check

y=13(25)+90

y=415!!

Hope this wasn't too confusing, good luck!

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-12x + 12 = 4 - 15x + 9
emmainna [20.7K]

Answer:

x = 1/3

Step-by-step explanation:

-12x + 12 = 4 - 15x + 9

Combine like terms

-12x +12 = -15x+13

Add 15x to each side

-12x+12 +15x = -15x+15x+13

3x+12 = 13

Subtract 12 from each side

3x+12-12 = 13-12

3x = 1

Divide by 3

3x/3 = 1/3

x = 1/3

8 0
3 years ago
If Ann correctly factors an expression that is the difference of two perfect squares, her factors could be
Sphinxa [80]

Answer:

1.) ???

2.) (2x+3y)(2x-3y)=4x²-9y²

3 0
3 years ago
An article in the November 1983 Consumer Reports compared various types of batteries. The average lifetimes of Duracell Alkaline
Allushta [10]

Answer:

The mean is of -0.4 hours.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Mean of the sample of 64 Duracell:

By the Central Limit Theorem, 4.1 hours.

Mean of the sample of 64 Eveready:

By the Central Limit Theorem, 4.5 hours.

Mean of the difference?

Subtraction of normal variables, so we subtract the means.

4.1 - 4.5 = -0.4

The mean is of -0.4 hours.

8 0
3 years ago
25= e^k(.15) find the value of k
Vladimir79 [104]
25 = e^k (0.15)
e^k = 25/0.15
k = Ln(25/0.15) ≈ 5.116
3 0
3 years ago
Consider circle T with radius 24 in. And 0=startfraction 5 pi over 6 endfraction radians. Circle T is shown. Line segments S T a
satela [25.4K]

Answer:

20\pi $ inches or \approx 62.83$ inches

Step-by-step explanation:

\text{Central Angle of Arc SV}=\dfrac{5\pi}{6}$ rad$\\\text{Radius of Circle T}=24 in.\\\\\text{Length of an arc} = \dfrac{\theta}{2\pi} \times 2\pi r

Therefore:

\text{Length of minor arc SV} = \dfrac{\frac{5\pi}{6}}{2\pi} \times 2\pi \times 24\\=20\pi $ inches\\\approx 62.83$ inches

The length of minor arc SV is 62.83 inches.

7 0
3 years ago
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