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3 years ago

Simplify 8 + 2(10 – r).

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

4 0

8+20-2r which is equal to 28-2r so it is (B)

balu736 [363]3 years ago

3 0

Hi!

8 + 2(10 - r) = 8 + 20 - 2r = 28 - 2r

The correct answer is B. 28 - 2r

Hope this helps!

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2 years ago

Which expression is equivalent to (2^1/2 2^3/4)^2

dimaraw [331]

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$\sqrt{2^5}$

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3 years ago

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Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, <u>otherwise</u> if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\$

Therefore based on the options give, we can see that Option B. is correct since

$t=\frac{5}{3w}$ and for $w=5$ , then $t=\frac{1}{3}$

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3 years ago