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KATRIN_1 [288]
2 years ago
6

Answer the following questions.

Mathematics
1 answer:
SOVA2 [1]2 years ago
5 0

Answer:

43

Step-by-step explanation:


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Mr. McKay wrote an algebra test with a total of 15 questions consisting of multiple choice and short response style questions. M
tankabanditka [31]

Step-by-step explanation:

x = number of multiple choice questions

y = number of short response questions

x + y = 15

5x + 10y = 100

=>

x + 2y = 20

let's subtract the first from the second equation :

x + 2y = 20

- x + y = 15

--------------------

0 y = 5

x + y = 15

x + 5 = 15

x = 10

to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b

a is the slope, b is the y- intercept.

x + y = 15

transforms to

y = -x + 15

this line goes e.g. through the points (0, 15) and (1, 14).

and

x + 2y = 20

transforms to

2y = -x + 20

y = -x/2 + 10

this line goes e.g through (0, 10) and (2, 9).

the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.

5 0
2 years ago
0=-20.5x+16.35x-0.1245
Pachacha [2.7K]

The value of x in the given equation -20.5x+16.35x -0.1245 = 0\\ is 0.03

<u>Step-by-step explanation:</u>

The given equation is that -20.5x+16.35x -0.1245 = 0\\

<u>The steps to be followed to solve the equation are :</u>

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ (-20.5x+16.35x) - 0.1245 = 0

⇒ 4.15x-0.1245 = 0

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ 4.15x -0.1245+0.1245 = 0.1245

⇒ 4.15x = 0.1245

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒ 4.15x / 4.15 = 0.1245/4.15

⇒ x = 0.03

Therefore, the value of x is 0.03

7 0
3 years ago
If the measure of angle 4 is 43 degrees, then the measure of angle 6 is -------
marta [7]

Answer:

degrees and the measure of angle 5 is -------- degrees. The measure of angl

Step-by-step explanation:

3 0
3 years ago
What is the width of a rectangle with an area of 5/8 in. squared and a length of 10 inches?
Ad libitum [116K]
5/8=10×w this is my equation then i divide by 10 on both sides
w=6.25
6 0
3 years ago
What is the difference of 23x and 9x?
BaLLatris [955]
Subtract 9x from 23x yields 14x. This was done by subtracting algebraically the variables.
4 0
3 years ago
Read 2 more answers
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