3 years ago

5/8 divided 3/8 = a b/c

Mathematics

1 answer:

anzhelika [568]3 years ago

8 0

The answer is A=1 b=40 c=24

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(5/6)^4x=(36/25)^9-x, please help solve for x, and the 9-x is all superscript

stiks02 [169]

$\frac{36}{25}=\frac{6^2}{5^2}=\left(\frac{6}{5}\right)^2=\left(\frac{5}{6}\right)^{-2}\\\\therefore:\\\\\left(\frac{5}{6}\right)^{4x}=\left[\left(\frac{5}{6}\right)^{-2}\right]^{9-x}\\\\\left(\frac{5}{6}\right)^{4x}=\left(\frac{5}{6}\right)^{-2(9-x)}\iff4x=-2(9-x)\\\\4x=-2\cdot9-2\cdot(-x)\\\\4x=-18+2x\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\2x=-18\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=-9}$

$Use:\\a^{-n}=\left(\frac{1}{a}\right)^n\\\\\left(a^n\right)^m=a^{n\cdot m}\\\\\left(\frac{a}{b} \right)^n=\frac{a^n}{b^n}$

6 0

3 years ago

Read 2 more answers

Consider the rectangular prism below.

Radda [10]

Answer:

Option D

Step-by-step explanation:

Formula for the surface area of rectangular prism = 2(lb + bh + hl)

Here, l = Length of the prism

b = Width

h = Height

If l = 25 cm, b = 12 cm and h = 20 cm

Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²

Therefore, Option D will be the correct option.

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3 years ago

The square root of 68

Anna71 [15]

the square root is 8.246211251

8 0

3 years ago

1.2cm represents 24 km. it is approximately 5 cm from knight rock to storm bay on the map. what is the actual distance in kilome

Kipish [7]

Answer:

about 120

Step-by-step explanation:

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3 years ago

Translate the sentence into an inequality.

viktelen [127]

The appropriate inequality would be 4x + 19 ≤ -26

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3 years ago