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chubhunter [2.5K]
3 years ago
14

Find the solution of this system of equations. Separate the x- and y-values with a comma.

Mathematics
1 answer:
vivado [14]3 years ago
4 0
X = -6 + y...so we sub in -6 + y for x in the other equation

x - 3y = 28
-6 + y - 3y = 28
-2y - 6 = 28
-2y = 28 + 6
-2y = 34
y = -34/2
y = - 17

x = -6 + y
x = -6 - 17
x = - 23

solution is (-23,-17)
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Find the interquartile range of the data.
likoan [24]

The answer is 14. Here is how I work it out.


First we are going have to identify quartile 1 and quartile 3.


So after putting the numbers in order from least to greatest mark the number with a half way point.

This is optional but it will help us spot the sections better.


31,33,35,41,43,|46,48,49,49,50

Next put parentheses around the remaining groups of numbers.

(31,33,35,41,43,)|(46,48,49,49,50)


For the next step we have to find the median of each group.


(31,33,35,41,43,)|(46,48,49,49,50)


The median of each group, are called the quartiles, the median of the lower half is quartile 1, and the median of the upper half is quartile 3.


Now subtract quartile 1 from quartile 3.


49 – 35 = 14


So the interquartile range of this data set is 14.

4 0
3 years ago
How do you find the slope equation of x+4y=16
tankabanditka [31]

x+4y=16

4y= -x +16

y = -1/4x + 4


so slope = -1/4

5 0
3 years ago
The radius of a cylindrical construction pipe is 2.5 ft. If the pipe is 28 ft long, what is its volume?
atroni [7]

Answer:

V = 549.5 ft³

Step-by-step explanation:

The formula for the volume, V, of a cylinder of radius r and length h is

V = πr²h.

Substituting 2.5 ft for r and 28 ft for h, we get the volume

V = 3.14(2.5 ft)²(28 ft), or

V = 549.5 ft³

8 0
3 years ago
Read 2 more answers
Solve the following system of equations.<br> 2x + 5y = -18 and y = -4x
andriy [413]

Answer:

x=1 and y= -4

Step-by-step explanation:

step one: plug -4x into y in thi]e first equation.

2x+5(-4)= -18

step two: solve for x

2x-20= -18

(add 20 to both sides to eliminate -20 on the right)

2x=2

(divide both sides by 2 to get x by its self)

x=1

step 3: now that we found the value for x plug it in to either equation and solve for y

y= -4x

y= -4(1)

y= -4

7 0
3 years ago
Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.27 and P(R) = 0.03.
emmainna [20.7K]
Your answer would be 0.0081!
4 0
3 years ago
Read 2 more answers
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