Answer:
Step-by-step explanation:
You can draw a rectangle with one side of the rectangle being 8 units, while the other side being (3x - 1) units.
The new dimension of the rectangle are as follows;
<h3>How to find the new dimension of the rectangle?</h3>
The new dimension of the rectangle can be found as follows;
The sides of a square are equal.
Therefore,
let the side of the square = x
Hence,
length = x + 3
width = x + 1
area of rectangle = lw
where
Therefore,
24 = (x + 3)(x + 1)
24 = x² + x + 3x + 3
24 = x² + 4x + 3
x² + 4x + 3 - 24
x² + 4x - 21 = 0
(x - 3)(x + 7)
Therefore,
x = 3 or -7
It can't be negative. Hence, x = 3 ft
Therefore, the new dimension of the rectangle are as follows;
- x + 3 = 3 + 3 = 6 ft
- x + 1 = 3 + 1 = 4 ft
learn more on rectangles here: brainly.com/question/17562456
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60% choose band......40% choose chorus
30% who are taking band are girls......30% of 60% is (0.3 * 0.6) = 0.18 or 18%..so 18% are girls.
70% who take chorus are girls....70% of 40% is (0.7 * 0.4) = 0.28 or 28%...so 28% are girls.
18% + 28% = 46%....so a total of 46% taking band and chorus are girls.....so that leaves (100% - 46%) = 54% ( or 0.54) are boys
Answer:
708.56 ft
Step-by-step explanation:
Use the tangent trig rule, TOA in SOH-CAH-TOA. Take your opposite, h, and divide it over your adjacent, 875. Then take the tangent of 39° using a calculator, and multiply 875 on both sides to get h by itself, that being the result of 708.56 ft rounded.
Reasoning solution:
40 oz of 10% glycol contains 40*0.1=4 oz of glycol, and 40-4=36 oz. of water.
To make a 25% glycol using 36 oz of water will make a total volume of 36*(4/3)=48 oz.
Volume of pure glycol to be added = 48-40=8 oz
Therefore 8 oz of pure glycol must be added to the mixture to make a 25% solution.
Algebraic solution:
Let x = volume of pure glycol required in oz.
then
0.10*40+1.00*x = 0.25*(40+x)
expand
4.0+x=10+0.25x
solve
(1-0.25x)=10-4=6
x=6/0.75=8 oz
Therefore 8 oz of pure glycol must be added to the mixture to make a 25% solution.