First ration we will divide by 5 (both numbers) and second one by 3 (again both numbers).
First ratio becomes (25:5)/(45:5) = 5/9
Second ratio becomes (15:3)/(27:3) = 5/9
Since we can simplify them in that way that both are the same that means they are proportional.
Answer:
y = 2x + 2
Step-by-step explanation:
<h3>
<u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>
- The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,
the point (0, 2)
- The line also meets the x-axis two units before the origin, I.e.,
the point (-1, 0)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3><u>Intercepts</u><u>:</u></h3>
<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.
There are two types of intercepts:
- x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
- y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>
Each of their length is equal to their distance from the Origin(0, 0)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3><u>Equation of a line (intercept form):</u></h3>
If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3>
<u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>
- x-intercept (a) = -1
- y-intercept (b) = 2

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<em>Isolating</em><em> </em><em>y</em><em>:</em>
<em>
</em>
That's the equation of the given line!
√70 = 8.37
It would be between 8 and 9.
Answer:
$585
Step-by-step explanation:
Find 25% of $450:
$450 × 0.25 = $112.5 ⇒ this is how much money the business is donating.
Find 5% of $450:
$450 × 0.05 = $22.5 ⇒this is how much money the politician is donating.
Add those two amounts to the amount the student raised:
$450+$22.5+$112.5= $585
Answer/Step-by-step explanation:
[1] x+9+1+3x
Add the numbers
x + 10 +3x
Combine like terms
4x+10
Common factor
2(2x+5)
<u>Solution = </u><u>2(2x+5)</u>
<u>.............................................................................................................................................</u>
[2] 5a+6c+2a+3c
Combine like terms
7a+6c+3c
Combine like terms
7a+9c
<u>Solution</u><u> = 7a + 9c</u>
<u>...............................................................................................................................................</u>
[3] 5n+6m+3n
Combine like terms
8n + 6m
Rearrange terms
6m + 8n
<u>Solution </u><u>= 6m+8n</u>
<u>.............................................................................................................................................</u>
[RevyBreeze]