Okay First,
Start with the given equation <span>Subtract from both sides
Rearrange the equation
Divide both sides by
Break up the fraction
Reduce
Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
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Answer:
246913578
Step-by-step explanation:
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Answer:
3.5 more times sugar in B
Step-by-step explanation:
We need to see that the fact that Beverage B is 0.21 sugar can be translated to percentages, just by multiplying and dividing by 100 to get it easier to see:
0.21 * 100 /100 = 21/100 = 21% percent
This means that for every 100 units, 21 are sugar.
Now we can compare percentages directly, as both have the same volume because are sold in identical cans. We need to get how many times is 21 greater than 6. The only thing we need to do is the ratio between them:
21/6= 3.5
This implies that 21 is 3.5 greater than 6, you can verify it by multiplying 6 by 3.5 and getting 21.
So, B has 3.5 times more sugar than A.
Answer:
Ok, we know that the width of the door is 4.20m.
Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.
Then the diameter of the arc is 4.20m
And the radius is defined as half of the diameter, so we have:
radius = 4.20m/2 = 2.10m
And we can write this in cm (because the probelm ask for it)
1m = 100cm
then 2.10m = 2.1*100cm = 210cm
Now, we know that the perimeter of a circle is:
P = 2*pi*r
where pi = 3.14
Then the perimeter (or arc) of half a circle will be half of that:
Arc = (2*pi*r)/2 = pi*r
and r = 210cm, pi = 3.14
Arc = 3.14*210cm = 659.4cm
This equates to the division problem 54/3, which is equal to 18.
It would take them 18 weeks to frame all 54 houses.