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3 years ago

13

Solve for x.

la1" title=" \frac{x}{3} = \frac{5}{8} " alt=" \frac{x}{3} = \frac{5}{8} " align="absmiddle" class="latex-formula">

1 answer:

Alja [10]3 years ago

8 0

This is proportion,
so general rule is $
 \frac{a}{b} = \frac{c}{d} , 
\\ \\ a = \frac{bc}{d} , 
\\ \\ x= \frac{3*5}{8} =1.875


$

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Select all the pairs of equivalent expressions.

iren2701 [21]

Answer:

$\huge\boxed{(3^4)^4=3^8\cdot3^8}\\\boxed{4^3\cdot5^3=20^3}\\\boxed{(4^3)^3=4^3\cdot4^3\cdo4^3}$

Step-by-step explanation:

$a^n\cdot a^n=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n\\=====================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3=4^{3+3}=4^6\\\\4^9\neq4^6\to(4^3)^3\neq4^3\cdot4^3\\==================$

$(3^4)^4=3^{4\cdot4}=3^{16}\\3^8\cdot3^8=3^{8+8}=3^{16}\\\\(3^4)^4=3^8\cdot3^8\\================$

$6^4\cdot3^4=(6\cdot3)^4=18^4\\\\18^4\neq18^8\to6^4\cdot3^4\neq18^8\\=================$

$4^3\cdot5^3=(4\cdot5)^3=20^3\\\\4^3\cdot5^3=20^3\\=================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3\cdot4^3=4^{3+3+3}=4^9\\\\(4^3)^3=4^3\cdot4^3\cdot4^3$

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The answer to your question is A. 13

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Solve the system of linear equations. separate the x- and y- values with a coma. -8x=72-16y

serious [3.7K]

Let's use the "elimination by addition/subtraction" method to solve this system for x and y.

<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y

Now combine the following, column by column:

</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
-----------------------
0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.

Now subst. 7 for y in either of the original equations and calculate x:

<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.

Solution is 5, -7 (or, better written) (5, - 7).</span>

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A store sold 70 copies of a magazine for $350. Each copy of the magazine costs the same. Which equation and set of ordered pairs

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The answer is C. 5x

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dusya [7]

Answer:

x = 28
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Step-by-step explanation:

<u>The two marked angles must have same value as corresponding angles:</u>

3x + 48 = 6x - 36
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<u>The angle measure:</u>

3*28 + 48 = 132°

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