What is the simplest form of the expression? PLEASE HELP.

Absolute zero is -459.67 Fahrenheit. How many degrees above absolute zero is the freezing point of water?

grin007 [14]

Answer:

491.67 above

Step-by-step explanation:

8 0

3 years ago

Please help me with this one question, and I'll upvote the brainliest answer

ra1l [238]

Answer: " x = 12 " .

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Step-by-step explanation:

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Note: If 2 (two) triangles are "similar" ; then their corresponding sides are "proportional".

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Since one of the sides [the "hypotenuse"] of one the triangles given ; shows the measurement containing an expression with a value of "x" — specifically; " 6x + 28 " ;

→ And since we want to solve for the value of "x" ; we use this "hypotenuse" of said particular triangle to set up a "proportion" with corresponding sides; so we can solve for "x" :

→ Set up proportions as a "ratio" ; or fraction:

→ 7:28::25:(6x + 28) ; Solve for "x" ;

Let us write this in the form of a "fraction" :

→ $\frac{7}{28} = \frac{25}{(6x+28)}$ ;

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Note:

→ Rewrite: " $\frac{7}{28}$ " ; by simplifying to:

" $\frac{1}{4}$ " ;

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→ Since: " $\frac{7}{28}$ " ;

= " (7÷7) / (28÷7) " ;

= " (1 /4) " ;

= " $\frac{1}{4}$ " .

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Now, rewrite the "proportion" ; as follows:

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$\frac{1}{4} = \frac{25}{(6x+28)}$ ;

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Now: "Cross multiply" ; that is:

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→ Given: " $\frac{a}{b} = \frac{c}{d}$ " ;

and: " b $\neq$ 0 " ; " d $\neq$ 0 " ;

→ Then: " a * d " = " b * c " .

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Likewise: " 1(6x + 28) = (4) * (25) " ;

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SImplify: " 6x + 28 = 100 " ; Solve for "x" ;

→ Subtract "28" from each side of the equation:

→ " 6x + 28 - 28 = 100 - 28 " ;

to get: → " 6x = 72 " ;

Now, divide each side of the equation by: " 6 " ;

to isolate "x" on one side of the equation; & to solve for "x" ; as follows:

→ " 6x = 72 " ;

→ 6x / 6 = 72 / 6 ;

to get:

→ " x = 12 " ;

→ which is the answer.

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Hope this helps!

Best wishes in your academic pursuits

— and within the "Brainly" community!

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5 0

3 years ago

Use your own words to explain how to find the circumference of a circle with a radius of 4 inches.

weeeeeb [17]

Answer:8 π inches

Step-by-step explanation:The formula for circumference is diameter * π

The radius of a circle is always exactly half of the circles diameter.

Therefore, the diameter will be 8 inches

Multiply the diameter, 8 by π

to determine the circumference.

4 0

3 years ago

There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are the

zlopas [31]

Answer:

(a) How many are there to select 2 pairs of gloves?

10 ways

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

130 ways

Step-by-step explanation:

For the above questions we apply that combination formula

(a) How many are there to select 2 pairs of gloves?

There are 5 pairs of gloves according to the question above, hence:

5C2 = 5!/2! × (5 - 2)!

= 5!/2! × 3!

= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1

= 10 ways.

Therefore, there are 10 ways to select 2 pairs of gloves

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

i) A way to select 4 gloves out of 10 gloves =

10C4 = 10!/4! ×(10 - 4)!

= 10!/ 4! × 6!

= 210 ways

ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:

5 × 2⁴

= 80 ways.

Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways

= 130 ways

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%7Cx-1%7C%3D%5Csqrt%7Bx%7D" id="TexFormula1" title="|x-1|=\sqrt{x}" alt="|x-1|=\sqrt{x}" align

vodka [1.7K]

Isolate the radical, then raise each side of the equation to the power of its index.
Exact Form:
x
=
3
+
√
5
2
,
3
−
√
5
2
x
=
3
+
5
2
,
3
-
5
2

Decimal Form:
x
=
2.61803398
…
,
0.38196601
…

7 0

3 years ago