Answer:
x=3
Step-by-step explanation:
8x=18-2x
8x-2x=18
6x=18
x=3
Answer:
5 6/7
Step-by-step explanation:
107×4110=?
10
7
×
41
10
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
10×417×10=41070
10
×
41
7
×
10
=
410
70
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 410 and 70 using
GCF(410,70) = 10
410÷1070÷10=417
410
÷
10
70
÷
10
=
41
7
The fraction
417
41
7
is the same as
41÷7
41
÷
7
Convert to a mixed number using
long division for 41 ÷ 7 = 5R6, so
417=567
41
7
=
5
6
7
Therefore:
107×4110=567
Step-by-step explanation:
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Answer:
-6x+15 < 10-5x
x>5
third equation, first graph
Step-by-step explanation:
Answer:
Purple line: 4
Red dashed line: 2
Blue line: 1/2
Step-by-step explanation:
The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).
Think of it this way:

here
so 
The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.
Take for example this one:

Take
therefore
Now take
and take
therefore
When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.
Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.