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.
Answer:
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Step-by-step explanation:
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<u>In Bar Graphs;</u>
- Bars have equal space
- One the y-axis, we have numbers & on the x-axis, we have data which can be anything.
<u> In Histograms;</u>
- Bars are fixed
- On the y-axis, we have numbers & and on the x-axis, we have data which in continuous & will always be number.
<u>An easy way you can remember the difference is looking at the spaces of the bars. </u>
<em>A bar graph has gaps</em>
<em>A histogram has no gaps.</em>
Answer:
x=5
Step-by-step explanation:
Alright you will need to use PEMDAS for this
- Parenthesis
- Exponent
- Multiplication
- Division
- Addition
- Subtraction ( Take note of this )
Step 1
9(3x – 16) + 15 = 6x – 24 You will remove parenthesis here
27x-129=6x-24
Step 2
Then subtract 6x,
27x-129=6x-24
21x-129=-24
Step 3
Then you add 129 to the sides,
21x-129=-24
21x=105
After that, you divide the sides by 21 so that you can get your answer
5
So therefore, your answer will be x=5
