Answer:
30 boxes
Step-by-step explanation:
1 box = 1 pound
x = 30 pound
30 Cross multiplied with 1
= 1 *30 =30
therefore: Julie can fill 30 boxes
Answer:
Step-by-step explanation:
Use the distributive property.
We will get
Hope this helps!
Answer:
f(x) and g(x) are inverse functions
Step-by-step explanation:
In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then
f(x) and g(x) are inverse functions
Let us use this rule to solve the question
∵ f(x) = 3x²
∵ g(x) = 
→ Find f(g(x)) by substitute x in f(x) by g(x)
∴ f(g(x)) = 3()²
→ Cancel the square root with power 2
∴ f(g(x)) = 3(
)
→ Cancel the 3 up with the 3 down
∴ f(g(x)) = x
→ Find g(f(x)) by substitute x in g(x) by f(x)
∴ g(f(x)) = 
→ Cancel the 3 up with the 3 down
∴ g(f(x)) = 
→ Cancel the square root with power 2
∴ g(f(x)) = x
∵ f(g(x)) = g(f(x)) = x
→ By using the rule above
∴ f(x) and g(x) are inverse functions
Answer:
C both line and point symmetry
Step-by-step explanation:
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Surface area of the cube
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6(2.5 x 2.5) = 37.5m²
<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>
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Surface area of the rectangle prism
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2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²
<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
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Overlapping area
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2.5 x 2.5 = 6.25m²
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Surface area of the composite figure
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37.5 + 478 - 2(6.25) = 503m²
<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>
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Answer: 503m²
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