Solve the following system of equations by graphing. y = –1∕2x – 2 y = –3∕2x + 2 Question 1 options: A) (3,–4) B) (4,–3) C) (–4,–4) D) (4,–4)

Answer:

It is 4.472135955, which simplifies to 4.47

Step-by-step explanation:

Step-by-step explanation: The square root of 20 is not a perfect square.

In other words, it's impossible to find a whole number

times itself that gives us a product of 20.

However, we can simplify it.

20 breaks down into 2 x 10 and 10 breaks down into 2 x 5.

Since the 2's pair up as factors of 20, a 2 comes out of the radical.

Since the 5 doesn't pair up, it stays inside.

So our answer is 2√5.

Answer:

21

Step-by-step explanation:

Answer:

(a) The proportion of international students in the statistic department is 25%.

(b) The proportion of master students among all domestic students is 20%.

Step-by-step explanation:

The following can first be obtained from the question:

Total number of graduate students = 60

Number of PhD students = 45

Number of Master students = 15

Percentage of international students among the master students = 40%

Percentage of international students among the PhD students = 20%

Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6

Number of international PhD students = Number of PhD students * Percentage of international students among the PhD students = 45 * 20% = 9

The questions can now be answered as follows:

(a) What is the proportion of international students in the statistic department?

This can be calculated as follows:

Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15

Total number of graduate students = 60

Proportion of international students in the statistic department = Total number of international students / Total number of graduate students = 15 / 60 = 0.25, or 25%

Therefore, the proportion of international students in the statistic department is 25%.

(b) What is the proportion of master students among all domestic students.

This can be calculated as follows:

Total number of graduate students = 60

Total number of international students = Number of international master students + Number of international PhD students = 6 + 9 = 15

Total number of domestic students = Total number of graduate students - Total number of international students = 60 - 15 = 45

Number of Master students = 15

Number of international master students = Number of Master students * Percentage of international students among the master students = 15 * 40% = 6

Number of domestic master students = Number of Master students - Number of international master students = 15 - 6 = 9

Proportion of master students among all domestic students = Number of domestic master students / Total number of domestic students = 9 / 45 = 0.20, or 20%

Therefore, the proportion of master students among all domestic students is 20%.

Answer:

x = 19 , y = 54

Step-by-step explanation:

Answer:

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Answer:

The four angles add up to 180° is not a property of parallelogram

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

It might help to use decimals

1 1/8 = 1.125

4 2/5 = 4.4

Add these together

1.125 + 4.4 = 5.525 That's the correct answer, but likely not in the form you wanted.

1 1/8 = 9/8

4 2/5 = 22/5

9/8 + 22/5

multiply through by the Lowest Common Denominator

9*5/40 + 22*8/40 =

45/40 + 176/40

221/40

5.525

5 21/40

You get the fraction by multiplying 40 * 0.525 which is 21

So you can express 0.525 as 21 / 40

Answer: 36+4h=60

36+4h-36=60-36

4h=24

4h÷4=24÷4

h=6

So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).

Step-by-step explanation:

Answer:

113 (d)

Step-by-step explanation:

Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer  is D.

Answer:

I only got B

Step-by-step explanation:

Put the x-values into the equation and solve for each.

Answer:-3/9

Step-by-step explanation:

When you adding or subtracting fractions they need to have the same denominator... which in the question they do! :) after you get your denominator the same you add the second numerator from the first one, in this one it’s 3 + (-6). Oh no a negative! But don’t worry when you add a negative it’s just like subtracting a regular number, so you really are just doing 3-6 which is -3 then you just put that over the denominator you had before, and you get -3/9

Answer:

$30.76

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Answer:

q = -2

Step-by-step explanation:

Constant = whole number

If the two lines are parallel the slopes would be equal.

So if the first line is y = -2x + 5/3

The the second line would become y = -2x + 6.

If q becomes -2, it will be a constant and the two lines will also be parallel

Answer:

4/3

Step-by-step explanation:

11 - 3 = 8

8 - 2 = 6

8/6 = 4/3

Rise 4 Run 3

Answer:

9/4 inches

Step-by-step explanation:

42 is 3x more than 14. therefore, what is 3x more than 3/4 is 9/4

Answer:

9/4

Step-by-step explanation:

14 times 3 = 42

3/4 times 3 = 2.25

2.25 in fraction form is 9/4

Answer:

102

Explanation: 66+36 (9 times 4 is 36 and u add it to the 66 because u have to add 9 four times.)

self check

66+9= 75 (1st slot)

75+9=84 (2nd slot)

84+9= 93 (3rd slot)

93+9= 102 (4th and final slot, what u were looking for to begin with)

Answer:

30

Step-by-step explanation:

If the magazines and books together add up to a total of 60 books, then he bought 30 magazines and 30 books.

Answer:

00000

Step-by-step explanation:

poop

Answer:

2 jelly beans were red

Step-by-step explanation:

40/360=20/180=10/90=(divide 5)2/18=1/9-simplifying

1/9/0.1111111111111111111

1/9 times 18 =2,

Answer:

C. [tex] y = -x + 2 [/tex]

Step-by-step explanation:

First, find the slope, m, of the line that passes through the two given points.

Slope = [tex] \frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1 [/tex]

Next, determine the y-intercept, b.

The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.

Now, to get an equation of the line, substitute m = -1, and b = 2 in [tex] y = mx + b [/tex].

✅The equation would be:

[tex] y = -1x + 2 [/tex]

[tex] y = -x + 2 [/tex]

Hi i'm here to help the answer is 78 please mark me brainliest

Answer:

Answer in explanation

Step-by-step explanation:

Linear Modeling

It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned

Let

x = number of lawns mowed

y = number of pools cleaned

He wants to make $750, thus:

25x + 15 y = 750

Dividing by 5, we have the model that represents the linear relationship:

5x  + 3y = 150

The x-intercept can be found by setting y=0:

5x  + 3(0) = 150

5x = 150

Dividing by 5:

x = 150/5 = 30

x = 30

This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.

The y-intercept can be found by setting x =0:

5(0)  + 3y = 150

3y = 150

y = 150/3 = 50

y = 50

This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.

Starting from the basic equation

5x  + 3y = 150

We can give x some arbitrary value (less than 30) and find the value for y.

For example, for x=12

5*12 + 3y = 150

60 + 3y = 150

3y = 150 - 60 = 90

y = 90/3=30

This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.

For example, for x=21

5*21 + 3y = 150

105 + 3y = 150

3y = 150 - 105 = 45

y = 45/3=15

This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.

Answer: 128

Step-by-step explanation:

Answer: 2 times 6 is 12 4 times 3 is 12 so its 6

Answer:

l would think 6

Step-by-step explanation:

Because 12%2 is 6

Answer:

The formula is;

V = 275,000(0.9)^n

The value of the machine after 5 years is $162,384.75

Step-by-step explanation:

Here, we want to find the formula for the value of the machine after n years

Mathematically, we can use an exponential model for this

V = I ( 1 - r)^n

Where v is the value after n years

I is the value at which the machine was bought

r is the depreciation percentage ; 10% = 10/100 = 0.1

n is the number of years

Thus;

V = 275,000(1 - 0.1)^n

V = 275,000(0.9)^n

The value of the machine after 5 years will be;

V = 275,000(0.9)^5

V = 162,384.75

Answer: 5.08

Step-by-step explanation: you have to convert it to an improper fraction