First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5,
4•4 = 16, and
9•5 = 45
so, 4/9 • 4/5 = 16/45.
now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number.
the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. -
if we find the ways to get 16, we have:
1•16, 2•8, and 4•4
so, the factors are 1, 2, 4, 8, and 16.
this is called FACTORING :)
the ways to get 45 are...
1•45, 3•15, and 5•9, so the FACTORS are
1, 3, 5, 9, 15, & 45.
- compare the factors of 16 & 45,
none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
1/2 is the largest fraction out of all of them
Answer:
+1
Step-by-step explanation:
Each Proton is +1
Each Neutron is 0
Each Electron is -1
1+1+1+0+0+0+0-1-1=1
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Define x :
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Let the width be x.
Width = x
Length = 2x + 5 // Length is 5ft longer than twice the width
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Formula for Perimeter :
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Perimeter = 2 (Length + Width)
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Find Width :
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58 = 2 ( 2x + 5 + x) // Substitute Length and Width into formula
58 = 2 (3x + 5) // Combine like terms
58 = 6x + 10 // Apply distributive property
48 = 6x // Take away 10 from both sides
6x = 48 // Switch sides. Make x the subject
x = 8 // Divide by 6 on both sides
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Find Length and Width :
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Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft
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Answer: The length is 21 ft and the width is 8 ft.
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Answer:
Graph y≤150−x (shading down)
Graph y≥120− 7/11x (shading up)
Step-by-step explanation: