Answer:
Step-by-step explanation:
210=2x3x5x7
280=2x2x2x5x7
360=2x2x2x3x3x5
X + y = 14
x = 3y + 2
3y + 2 + y = 14
4y + 2 = 14
4y = 14 - 2
4y = 12
y = 12/4
y = 3 <===
x = 3y + 2
x = 3(3) + 2
x = 9 + 2
x = 11 <===
![\huge{ \boxed{ \bf{ \red{Problem:-}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbf%7B%20%5Cred%7BProblem%3A-%7D%7D%7D%7D)
<h3>Solve for x: 3/2 + 1/2x =2x</h3>
![\huge{ \boxed{ \bf{ \red{Solution:-}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbf%7B%20%5Cred%7BSolution%3A-%7D%7D%7D%7D)
![\bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%20%7B%5Cfrac%7B1%7D%7B2%7D%20x%20%3D%202x%7D%7D)
![\bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%E2%87%92%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%7B%5Cfrac%7Bx%7D%7B2%7D%20%20%3D%202x%7D%7D%20)
![\bold{⇒\frac{3 + x}{2} = 2x}](https://tex.z-dn.net/?f=%20%20%5Cbold%7B%E2%87%92%5Cfrac%7B3%20%2B%20x%7D%7B2%7D%20%20%3D%202x%7D)
![\bold{⇒3 + x = 2(2x)}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%2B%20x%20%3D%202%282x%29%7D)
![\bold{⇒3 + x = 4x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%2B%20x%20%3D%204x%7D)
![\bold{⇒3 = 4x - x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%3D%204x%20-%20x%7D)
![\bold{⇒ \frac{3}{3} = x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%92%20%5Cfrac%7B3%7D%7B3%7D%20%20%3D%20x%7D)
![\bold{ \therefore{x = 1}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%5Ctherefore%7Bx%20%3D%201%7D%7D)
<h3>Hope it's helpful</h3>
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
It should be emphasized that a connection is proportional if its graph is a line that passes through its origin.
<h3>How should the information be illustrated?</h3>
If the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to achieve this, the ratio is not proportional.
The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.
If the graph of a connection is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional.
Additionally, if anything is not linear, it is not proportional.
Graph information is available at:
brainly.com/question/17267403
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