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3 years ago

Question:

1 answer:

3 0

The least common denominator is the Least Common Multiple (LCM) of the divisors 3 and 4. Since these numbers have no common factors, their LCM is

... 3·4 = 12

The least common denominator of your fractions is 12.

... 1/3 = (1/3)·(4/4) = 4/12

... 3/4 = (3/4)·(3/3) = 9/12

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A compressed air tank carried by scuba divers has a volume of 8.00 L and a pressure of 141 atm at 22.0°C. What is the volume (in

weqwewe [10]

Answer:

Volume of air in the tank =1,044 Liter

Step-by-step explanation:

Given:

Tank volume = 8 Liter

Pressure = 141 atm

Temperature = 22°C = 273° + 20° = 295° K

Find:

Volume of air in the tank = ?

Computation:

$\frac{Pressure\times Tank\ volume}{Tempreture} =\frac{Pressure\times Air\ volume}{Tempreture}\\\\\frac{141\times 8}{295} =\frac{1\times Air\ volume}{273.15}\\\\\frac{1,128}{295} =\frac{Air\ volume}{273.15}\\\\Air\ volume=1,044.45$

Volume of air in the tank =1,044 Liter

8 0

2 years ago

If G is the midpoint of FH, FG= 14x + 25 and GH = 73- 2x, find FH

Alenkinab [10]

Given that G is the midpoint of FH, then:
FG=GH
hence;
14x+25=73-2x
solving for x we get:
14x+2x=73-25
16x=48
x=48/16
x=3
therefore the length FG=14x+25 will be:
14*3+25
=67
hence FH will be:
FH=67*2=134

4 0

2 years ago

What is the value of x in the equation -2/9x=2/5

densk [106]

Answer:

x = (-9)/5

Step-by-step explanation:

Solve for x:

(-2 x)/9 = 2/5

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-2 x)/9 = 2/5 by -9/2:

(-9 (-2) x)/(2×9) = (-9)/2×2/5

Hint: | Express (-9)/2×(-2)/9 as a single fraction.

(-9)/2×(-2)/9 = (-9 (-2))/(2×9):

(-9 (-2))/(2×9) x = (-9)/2×2/5

Hint: | Express (-9)/2×2/5 as a single fraction.

(-9)/2×2/5 = (-9×2)/(2×5):

(-9 (-2) x)/(2×9) = (-9×2)/(2×5)

Hint: | In (-9 (-2) x)/(2×9), divide -9 in the numerator by 9 in the denominator.

(-9)/9 = (9 (-1))/9 = -1:

(-2-1 x)/2 = (-9×2)/(2×5)

Hint: | In (-(-2) x)/2, divide -2 in the numerator by 2 in the denominator.

(-2)/2 = (2 (-1))/2 = -1:

--1 x = (-9×2)/(2×5)

Hint: | Multiply all instances of -1 in -(-x).

(-1)^2 = 1:

x = (-9×2)/(2×5)

Hint: | Cancel common terms in the numerator and denominator of (-9×2)/(2×5).

(-9×2)/(2×5) = 2/2×(-9)/5 = (-9)/5:

Answer: x = (-9)/5

7 0

2 years ago

Read 2 more answers

Please help!! I need the answer to the question in the picture!!!!

zloy xaker [14]

Answer:

$\large\boxed{D.\ x=-2(y+3)^2-1}$

Step-by-step explanation:

The equation of a horizontal parabola in the standard form:

$x=a(y-k)^2+h$

(h, k) - vertex

if a > 0, then open right

if a < 0, then open left

We have the vertrex (-1, -3) and the parabola is open left (a < 0).

Therefore the equation of a given parabola could be:

$x=-2(y-(-3))^2+(-1)=-2(y+3)^2-1$

8 0

2 years ago

What is the solution for x in the equation? 16x − 4 + 5x = -67 A.x=-3 B.x=3 C.x=1/3 D. x=-1/3

lozanna [386]

Answer:

A. X=-3

Step-by-step explanation:

16x-4+5x=-67

21x=-67+4

21x=-63

Divide through by 21

X=-3

8 0

2 years ago