I have to turn this in by tonight

Mathematics

1 answer:

Artist 52 [7]2 years ago

5 0

Answer:

x = -11

Step-by-step explanation:

Convert fraction into negative exponential form: $(36^-^1)^x^-^4=(216^-^1)^x^+^1\\$

Simplify using exponent power rule: $(a^n)^m=a^n^m:36^-^x^+^4=216^-^x^-^1$

Convert both sides of the equation into terms with same base: $(6^2)^-^x^+^4=(6^3)^-^x^-^1$

Simplify using exponent power rule:

$(a^n)^m=a^n^m:6^-^2^x^+^8=6^-^3^x^-^3$

Based on the given conditions, corresponding exponents are equal:

$-2x=8=-3x-3$

Rearrange unknown terms to the left side of the equation:

$-2x+3x=-3-8$

Combine like terms: $x=-3-8$

Calculate the sum or difference: $x = -11$

Thurs, x = -11

[RevyBreeze]

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Mr. Ortiz has 3/4 pound of oatmeal.

ki77a [65]

Answer:

$\frac{1}{4}\ pound$

Step-by-step explanation:

$We\ are\ given:\\Amount\ of\ oatmeal\ Mr.Ortiz\ has=\frac{3}{4}\ pounds \\Amount\ of\ Oatmeal\ he\ uses\ to\ bake\ muffins=\frac{2}{3}\ of\ the\ amount\ he\ had\\Now,\\Lets\ first\ find\ the\ amount\ of\ oatmeal\ he\ used=\frac{3}{4}*\frac{2}{3}=\frac{1}{2}\ pounds\\Hence,\\The\ amount\ of\ oatmeal\ remains=Total\ amount\ of\ oatmeal-Amount\\ he\ used\ to\ make\ muffins\\Hence,\\The\ amount\ of\ oatmeal\ left\ with\ Mr.\ Ortiz=\frac{3}{4} - \frac{1}{2} =\frac{1}{4}\ pound$