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Sladkaya [172]
3 years ago
5

Simplify the algebraic expression: 2(y + 5) + 3y - 4

Mathematics
2 answers:
vodomira [7]3 years ago
7 0

Answer: 5y + 6

Step-by-step explanation:

1. Distribute:

=2(y+5)+3y-4

=2y+10+3y-4

2. Subtract

=2y+10+3y-4

=2y+6+3y

3. Combine Like Terms

=2y+6+3y

<u>=</u><u>5y</u><u>+6</u>

love history [14]3 years ago
6 0

Answer:

2y +10 +3y-4

5y+6

Step-by-step explanation:

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Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
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notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}&#10;100x&=&09.0909\overline{09}\\&#10;&&9+0.0909\overline{09}\\&#10;&&9+x&#10;\end{array}\quad \implies 100x=9+x\implies 99x=9&#10;\\\\\\&#10;x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}&#10;\\\\\\&#10;\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
4 years ago
Question :-
DochEvi [55]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  +  \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}

\qquad \sf  \dashrightarrow \:  \bigg( \dfrac{1}{ \sqrt{7 +  \sqrt{5} } } \bigg ) {}^{2}  +  \bigg( \sqrt{7 +  \sqrt{5} } \bigg) {}^{2}  + 2 \cdot \dfrac{1}{ \sqrt{7 +  \sqrt{5} } }  \cdot \sqrt{7 +  \sqrt{5} }

\qquad \sf  \dashrightarrow \: \dfrac{1}{7 +  \sqrt{5} }  + 7 +  \sqrt{5}  + 2

\qquad \sf  \dashrightarrow \: \dfrac{49 + 7 \sqrt{5} + 7 \sqrt{5} + 5 + 14 + 2 \sqrt{5}   }{7 +  \sqrt{5} }

\qquad \sf  \dashrightarrow \: \dfrac{68+ 16 \sqrt{5}    }{7 +  \sqrt{5} }

5 0
2 years ago
2/3x+5=1 what is the solution to the equation shown?
Fudgin [204]

Answer:

x = - 6

Step-by-step explanation:

Given

\frac{2}{3} x + 5 = 1 ( subtract 5 from both sides )

\frac{2}{3} x = - 4

Multiply both sides by 3 to clear the fraction

2x = - 12 ( divide both sides by 2 )

x = - 6

7 0
3 years ago
Read 2 more answers
Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola
murzikaleks [220]

Not really sure what you are looking for, but this is how to solve equations such as these.

Let:

x = number of pounds of granola

y = numer of pounds of walnuts

The equation he can use to compute the total cost would be:

$2.00x + $6.00y = $12.00

We know that he bought 3 pounds of granola, so we plug in that for the x value:

$2.00(3) + $6.00y = $12.00

$6.00 + $6.00y = $12.00

To isolate the unknown value which is y, we first need to subtract $6.00 from both sides of the equation:

$6.00 + $6.00y - $6.00 = $12.00 - $6.00

$6.00y = $6.00

Then we divide both sides by $6.00:

$6.00y/$6.00 = $6.00/$6.00

y = 1

So the number of bags of walnuts he can buy is 1 bag.

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3 years ago
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Twenty divided by 60
frutty [35]

Answer:

1/3

Step-by-step explanation:

8 0
3 years ago
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