Answer:
x = 2
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(4+(4•(x-2)))-(2•(x+1)-x) = 0
Step 2 :
Equation at the end of step 2 :
(4 + 4 • (x - 2)) - (x + 2) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Equation at the end of step 4 :
3 • (x - 2) = 0
Step 5 :
Equations which are never true :
5.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : x-2 = 0
Add 2 to both sides of the equation :
x = 2
One solution was found :
x = 2
Processing ends successfully
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Answer:
x = 10
Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)
Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)
This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions
Hope this helps :)
Answer:
60km
Step-by-step explanation:
In 95 mins,he can run is 20km
In 1 min,he can run is 20/95
= 4/19in lowest
Now,
In 285 mins,he can run is=4/19*285
=4*15 in lowest
=60 km
The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.
A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.
Below are the steps for copying a line segment:
- 1. Let's begin with a line segment we need to copy, AB.
- 2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.
- 3. Now we place the the compass pointer on the point A of line segment AB.
- 4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
- 5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.
- 6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.
- 7. From C, draw a line to D;CD thus formed is equal to AB.
Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.
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Answer:
Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
Step-by-step explanation:
