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2 answers:
Answer:
C
Step-by-step explanation:
<em>The target area is shown in the attached picture.</em>
We want to figure out probability of hitting red region.
The area of the figure is the area of the red square, which is 196.
Area of red region is area of whole square (196) minus area of blue square (64). So we have:
Area of red region = 196 - 64 = 132
Probability of hitting red region is 132 divided by total, which is 196.
Answer choice C is right.
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Answer:
(-9, -26)
Step-by-step explanation:
y = (x - 1)2 - 6 and y = 4x + 10
Since they are both y =, you can set the two equations equal to each other:
(x - 1)2 - 6 = 4x + 10
2x - 2 - 6 = 4x + 10
-2 - 6 = 2x + 10
-8 = 2x + 10
2x = -18
x = -9
Check:
y = (x - 1)2 - 6
y = (-9 - 1)2 - 6
y = -18 - 2 - 6
y = -26
y = 4x + 10
y = 4 (-9) + 10
y = -36 + 10
y = -26
The answer to these equations is (-9, - 26). If you graph this, this is the point where the two graphs intersect.
James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
Given that, James needs to mix a 10% acid solution with a 50% acid solution to create 100 millilitres of a 26% solution.
Let the acid solution needs to mix with 10% be <em>x</em> ml and the acid solution needs to mix with 50% will be 100 - <em>x</em> ml.
Now,
10% x + 50% ( 100 - <em>x</em> ) = 26% ×100
⇒
⇒10<em>x</em> + 50( 100 - <em>x</em> ) = 2600
⇒10 <em>x</em> + 5000 - 50<em>x</em> = 2600
⇒10 <em>x</em> - 50 <em>x</em> = 2600-5000
⇒-40 <em>x</em> = -2400
⇒<em>x</em>=60
Therefore, James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
To learn more about the percentage visit:
brainly.com/question/13450942.
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