I think boys =18
girls=12
boys :x
girls:y
student:z
the number of group for the boys :n
the numberof group for the girls :m
so x=(3/5)*z
y=(2/5)* z
x/y=3/2
3y-2x=0
(1/10)*z*n=(3/5) *z
so n=6
(1/5)*z*m=(2/5)* z
put x=(1/10)*z*6
y=(1/5)*z*2
into 3y-2x=0 and z=30
z=30 so x=(1/10)*30*6=18
y=(1/5)*30*2=12
First you need to multiply 52 x 40 = 2080
then you need to divide 2080 from 60,000.
The answer will be 60000/2080 is approximately $28.85
<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
Answer:
(c) 115.2 ft³
Step-by-step explanation:
The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.
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<h3>Cube</h3>
The volume of the cube on the left is given by ...
V = s³
V = (4.2 ft)³ = 74.088 ft³
__
<h3>Pyramid</h3>
The volume of the pyramid on the right is given by ...
V = 1/3Bh . . . . . where B is the area of the square base
V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³
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<h3>Total</h3>
The volume of the composite figure is the sum of these volumes:
cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³
The volume of the composite figure is about 115.2 ft³.
Answer:
see image
Step-by-step explanation:
The x-intercept is the point where the line crosses the x-axis (horizontal, left and right line with numbers, arrows at both ends, usually marked x at the right end)
The y-intercept is where your line crosses the y-axis (vertical, up-and-down line with numbers, arrows at the ends, usually marked y at the top)
Two points determine a line.
Draw a line through the two points given. See image.
