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Volgvan
3 years ago
14

Solve the system. 2x + y = 3 −2y = 14 − 6x

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
The answer is -4x+3y= -11 because you would flip the -6x over with the -2y and the equations would look like this
2x+y=3
6x-2y=14
Then the 6x and 2x would turn into a -4x and the -2y and y would turn into 3y and the 14 and 3 would turn into a -11
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Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay
erma4kov [3.2K]

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

6 0
3 years ago
Given that the chord ef is a diameter of circle d which of the following names major arc
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1) Diameter = Line MN, Chord = Line LN 
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4 0
3 years ago
What is the slope of the line that contains
emmainna [20.7K]

Answer:

-4/5 or -0.8

Step-by-step explanation:

Slope: (y2 - y1)/(x2 - x1)

m = (49 - 45)/(5 - 10)

= 4/-5

= -⅘

4 0
3 years ago
Johnny filled a container with 30 centimeter cubes.
Soloha48 [4]

Answer:

20

Step-by-step explanation:

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4 0
3 years ago
The amounts of time employees at a large corporation work each day are normally distributed, with a mean of 7.5 hours and a stan
Ber [7]

Answer:

When sample size increases from n = 23 to n = 35, the mean of the distribution of sample means remains same but the standard deviation of the distribution of sample means decreases from 0.073 to 0.059.

Step-by-step explanation:

We are given the amounts of time employees at a large corporation work each day are normally distributed, with a mean of 7.5 hours and a standard deviation of 0.35 hour.

Random samples of size 23 and 35 are drawn from the population and the mean of each sample is determined.

Here, \mu = population mean = 7.5 hours

          \sigma = population standard deviation = 0.35 hour

<u><em /></u>

<u><em>Let </em></u>\bar X<u><em> = sample mean</em></u>

(a) The random samples of size of n = 23 is drawn from the population;

So, mean of the distribution of sample means = \mu = 7.5 hours

Standard deviation for the distribution of sample means is given by;

               s  =  \frac{\sigma}{\sqrt{n} } = \frac{0.35}{23} = 0.073

(b) The random samples of size of n = 35 is drawn from the population;

So, mean of the distribution of sample means = \mu = 7.5 hours

Standard deviation for the distribution of sample means is given by;

               s  =  \frac{\sigma}{\sqrt{n} } = } \frac{0.35}{\sqrt{35} } = 0.059

(c) So, as we can see that when sample size increases from n = 23 to n = 35, the mean of the distribution of sample means remains same but the standard deviation of the distribution of sample means decreases from 0.073 to 0.059.

4 0
3 years ago
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