Answer:
C
Step-by-step explanation:
The pre-image of a reduction is always bigger. Reduction means to "get smaller," so the pre-image needs to be bigger than the ending image.
Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
Answer:
The total amount Alex spent is $ 9
Step-by-step explanation:
The given parameters are;
The amount Alex spends on food = 2/3 of his paycheck
The amount Alex spends on coffee = $3
Therefore, we have;
Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p
The amount Alex spends on coffee = 1/3 of his paycheck
Therefore, we have;
1/3 × p = $3
p = 3 × $3 = $9
The total amount Alex spent = $ 9
The amount Alex spends on food = 2/3 × $9 = $6.
Where is the triangles ???
step by step
<u>First problem :</u>
probability to draw a red paper : 42/(42+18)=7/10
In 110 tries one can thus expect to draw 7/10*110=77 red papers
<u>Second problem :</u>
Since for 150 trials (which will give the least error) we have got 135 yellow balls, we can expect twice as much in 300=150*2 trials, which makes 270 yellow balls.
