Answer:
11/15
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
55 ÷ 5
75 ÷ 5
=11/15
:)
Answer:
The correct answer is x = 12.
Step-by-step explanation:
To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles. This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected. This is modeled below:
9x - 54 = 4x + 6
Now, we can solve this equation like any other. The first step is to subtract 4x from both sides.
9x - 4x - 54 = 4x - 4x + 6
5x - 54 = 6
Then, we should add 54 to both sides.
5x - 54 + 54 = 6 + 54
5x = 60
Finally, we can divide both sides by 5.
5x/5 = 60/5
x = 12
Therefore, the correct answer is x = 12.
Hope this helps!
Answer:
The answer to the question is
The ratio of the two gas pressures
, that is Px to Py = 1/6
Step-by-step explanation:
Let the gases Volumes be V₁ and V₂
Where volume of X = V₁ and
volume of Y = V₂
The volume of Y is half the volume of X
∴ V₂ =
× V₁
Let the number of moles be n₁ and n₂ in X and Y respectively
therefore n₂ = 3 × n₁
The pressure of the gas in X is Pₓ and the pressure of the gas in Y is
then we have
P₁ × V₁ = n₁ × R × T₁ , and P₂ × V₂ = n₂ × R × T₂
(P₁ × V₁)/(n₁ × T₁) = (P₂ × V₂)/(n₂ × T₂)
but T₁ = T₂
Therefore
(P₁ × V₁)/n₁ = (P₂ × V₂)/n₂. However n₂ = 3 × n₁ and V₂ =
× V₁ therefore substituting in the equation we have
(P₁ × V₁)/n₁ = (P₂ ×
× V₁ )/(3 × n₁) from where
P₁ /P₂ = (
× V₁ × n₁)/(V₁×3 × n₁) =0.5/3 = 1/6
The ratio of
= 1/6
Answer:
−3(x+9)
Step-by-step explanation:
Answer:
correct option is D. 630 kcals
Step-by-step explanation:
given data
Ashley weight = 130 lb
exercise time = 48 minutes
VO2 = 2.72 LO2/min
VCO2 = 2.24 LCO2/min
to find out
total energy expenditure
solution
first we get here respiratory exchange ratio that is
respiratory exchange ratio (RER) =
...........1
RER =
RER = 0.823
now we get here calorific value that is
calorific value = 3.815 + 1.23 × RER
calorific value = 3.815 + 1.23 × 0.823
calorific value = 4.827 kcal/L O2
so now we get energy expended that is
energy expended = VO2 × calorific value × time
energy expended = 2.72 × 4.827 × 48
energy expended = 630 kcals
so correct option is D. 630 kcals