Step-by-step explanation:
you mixed an 8% and a 12% solution together.
so, you get (8%×mass1 + 12%×mass2)/((mass1 + mass2)/2) as resulting % of the combined solution.
since the result is 10%, which is precisely the arithmetic middle
(8 + 12)/2
we see that mass1 = mass2.
in other words : the same quantity (mass) of the 8% solution and the 12% solution was mixed together.
so, 760g = 2×mass
=>
mass = 380g
380g of the 8% solution and 380g of the 12% solution were mixed together.
<h3>Answers:</h3>
- first box = 0
- second box = 0
- third box = 4
- fourth box = -3
It's not a typo that 0 is written twice.
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Explanation:
This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.
Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0
slope = rise/run
The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.
In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.
This is why you'll type 0 into the first two boxes.
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As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.
We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.
Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.
Answer:
50
Step-by-step explanation:
Steven = 13 marbles
Julio = 13 marbles
Megan has twice the number of marbles as Steven and Julio combined
Megan = 2 (13 + 13) = 2(26) = 52 marbles
Among the options (26, 13, 50, 169, 338), the only reasonable estimate is 50
Can u let me know when someone answers this, I have this same question
<u>Answer with step by step explanation</u>
To find the equation of the line from the given equation, you have to make y as the subject in the equation.
<u>Let us find now.</u>
x + 3y = -4
3y = -4 - x
3y = -x - 4
<em>Divide the whole equation by 3.</em>
y = -x/3 - 4/3
Therefore, <u>the equation of the line</u> is:
<u> y = -x/3 - 4/3</u>
And now we have to find the slope and the y - intercept of the line.
That is, we have to find the m & c of y = m x + c.
Here,
m ⇒ slope
c ⇒ y - intercept
So, to find it we have to find the values which were replaced with m & c.
<u>Let us find now.</u>
y = m x + c
y = <u>-x/3</u> <u> - 4/3</u>
Now it is clear that, <u>-1/3 & -4/3 are replaced with m & c</u> respectively.
Therefore,
slope ⇒<u> -1/3</u>
y - intercept ⇒<u> -4/3</u>
