Answer:
boys = 250
girls = 150
Step-by-step explanation:
5g = 3b eq. 1
g + b = 400 eq. 2
g = girls
b = boys
From the eq. 2
g = 400 - b
Replacing this last eq. on eq. 1:
5(400-b) = 3b
5*400 + 5*-b = 3b
2000 - 5b = 3b
2000 = 3b + 5b
2000 = 8b
2000/8 = b
250 = b
From eq. 2
g + 250 = 400
g = 400 - 250
g = 150
Check:
from eq. 1
5*150 = 3*250 = 750
The answer is <span>C.) 2
The general form of formula is
y = a </span><span>• r^x
y - the total number of bacteria after x period of time
a - the initial number of bacteria
r - growth rate
x - period of time
Let's compare:
</span>y = a • r^x
<span>y = 280 • 2^x
Since r = 2, the growth rate is C.) 2</span>
Squaring a number is the same as multiplying the number by itself <span>(<span><span>64⋅64</span>).</span></span><span> In this case, </span>64<span> squared is </span><span>4096.
</span><span>8<span>r^3</span>−4096+r−8
</span>Subtract 8<span> from </span><span>−4096</span><span> to get </span><span><span>−4104</span>.
</span><span>8<span>r^3</span>−4104+r
</span>Factor<span> the </span>polynomial<span> using the rational </span>roots<span> theorem.
</span><span>(r−8)(8<span>r^2</span>+64r+513)</span>
The diagonal is solved by a^2+b^2=c^2
c=8 in this problem, so c^2=64
Since the figure is a square, a must equal b.
64/2=32, each side is root of 32 units
the square root of 32 is approximately 5.66.
Scale:
1 cm : 6 inches
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Length of the aquarium:
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5 feet = 5 x 12 = 60 inches
60 ÷ 6 = 10
The length will be 10 cm on the scale drawing.
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Width of the aquarium:
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2 feet = 2 x 12 = 24 inches
24 ÷ 6 = 4
The width will be 4 cm on the scale drawing.
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Find Perimeter:
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Perimeter = 2 (length + width)
Perimeter = 2( 10 + 4 )
Perimeter = 28 cm
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Answer: The perimeter of the scale drawing of the front face is 28 cm.--------------------------------------------------------------------------------------------------
