Larry received 1/3 pound of candy from his grandmother and 2/5 pound of candy from his best friend. Larry’s sister ate 1/2 pound

of candy. How many pounds of candy does Larry have?

Mathematics

1 answer:

elena-s [515]3 years ago

4 0

$\bf \stackrel{\textit{granny's}}{\cfrac{1}{3}}+\stackrel{\textit{friend's}}{\cfrac{2}{5}}-\stackrel{\textit{sister}}{\cfrac{1}{2}}\implies \stackrel{\textit{using an LCD of 30}}{\cfrac{(10)3+(6)2-(15)1}{30}}\implies \cfrac{30+12-15}{30} \\\\\\ \cfrac{27}{30}\implies \cfrac{9}{10}$

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If 3 to the power of x+1 = 81 and 81 to the power of x-y = 3 then what is the value of x and y?

fgiga [73]

From 1st condition:

3^(x+1)=81
Take log on both sides,
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➡ (x+1) log 3=4×log 3
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From 2nd condition, (Same process are repeated)

81^(x-y)=3
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3 years ago

If line uw bisects angle tuv,, m angle tue = (13x-5) and angle wuv = (7x+31) find the value of x

scZoUnD [109]

The value of x will be 6

Explanation

According to the below diagram, UW is the angle bisector of ∠TUV

That means, $\angle TUW = \angle WUV$

Given that, $\angle TUW = 13x-5$ and $\angle WUV= 7x+31$

So, the equation will be......

$13x-5=7x+31\\ \\ 13x-7x=31+5\\ \\ 6x=36\\ \\ x=\frac{36}{6}=6$

So, the value of x will be 6.

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3 years ago

X squared minus 7x plus 10 equals 0

joja [24]

X² - 7x + 10 = 0

Let's factor out the equation first.

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This factoring of (x-2)(x-5) fit the equation.

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One of the factors must equal 0 as to equal zero.

Either x - 2 = 0 or x - 5 = 0

x - 2 = 0
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x - 5 = 0
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The two answers are x = 2 or x = 5. Hope this helps!

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3 years ago

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prohojiy [21]

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