Answer:
The answer is 5/8
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by its reciprocal.
6 ÷ 1/3
= 6 x 3/1
= 6 x 3
= 18
Distance<-------------300--------------><-------------------x----------------->
⊕---------------------------------⊕--------------------------------------⊕ Express Freight Overtaking point
Speed 55 speed 30
Let x be the distance travelled by Freight until the point of overtaking
Time = Distance/Speed, then:
Time (freight) = Distance (fright)/Speed (freight) And
Time (Express) = Distance (Express)/Speed (Express).
Now plug in the relative number:
Time (freight) = x/30 and Time (express) = (x+300)/55. But note that both times are equal, then:
x/30 = (x+300)/55 OR (x÷30 = (x+300)÷55) [Answer C]
Now let's find the distance x. Cross multiplication;
55x= 30(300+x) →55x = 9,000 + 30x
55x - 30x = 9,000 → 25x = 9,000 and x = 9,000/25 = 360 miles
Time needed for Freight to travel 360 m = 360/30= 12 Hours
Time needed for Express to travel (300+360) m = 660/55= 12 Hours
As you see, it's the same time of 12 hours
Don't forget that Distance = Speed x time or time = Distance/Speed, etc.
Answer:
The second bubble
Explanation
You need to make your exponents equal the other side so to do this;
Distribute the 3 in the exponent "3(x-2)"
Which is 3x-6
And since multiplying exponents adds them, you need a -6 to make the two equal.
So your exponent should equal -6 to make that statement true
Answer:
x ≅ 20.10 torr
Step-by-step explanation:
Given that the equation which models blood pH in the question is;
pH(x)=6.1+log(800/x)
where;
pH = 7.7
x = partial pressure of carbon dioxide in arterial blood, measured in torr.
we are asked to find (x)
In order to do that, we use the given equation:
pH(x)=6.1+log(800/x)
since pH = 7.7
7.7 = 6.1 + log (800/x)
7.7 - 6.1 = log (800/x)
1.6 = log (800/x)
x = 20.09509145
x ≅ 20.10 torr
