35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of black tea worth 1.80 per pound to be mixed to get the final mixture for 2.10 per pound, hence:
2.4(35) + 1.8(x) = 2.1(x + 35)
x = 35 pounds
35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound
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A. 70°
Supplementary angles always = 180°
Where 180 - 110 = 70
110+ 70 = 180
Answer:
x = 5
Step-by-step explanation:
The sides are in proportion.
The proportion is 20/36
The other sides must be in the same proportion: 5x / 45
5x/45 = 20/36 You can reduce the left side by dividing top and bottom by 5
1x / 9 = 20/36 You can reduce the right side by dividing by 4
x / 9 = 5/9 at this point you should be able to see that x = 5, because the denominators are the same.
That is the answer.
However you can extend this by cross multiplying
9x = 45 Divide by 9
x = 45/9
x = 5
Answer:
5.8% or 6%
Step-by-step explanation:
6 face cards in a deck minus the red ones so it would be [6-3=3]
52 cards are in a deck and you have 3 black face card so it would be [3/52=0.0576]
Then to get your percentage it would be [0.0576 x 100=5.76%]
5.76 rounded up is 6%
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)