Answer:
Step-by-step explanation:
<em>A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10</em>
Answer:
Step-by-step explanation:
There are 50 students in a group.
Using Venn diagram, we have 50=x+8+7+5+x+9+(x+3)50=x+8+7+5+x+9+(x+3) .
50=3x+3250=3x+32
3x=183x=18
x=6x=6
The number of students that take Maths is x+8+7+5=26x+8+7+5=26 .
Answer: x=6x=6 ; 2626 students take Maths.
<em>Solve: </em>

Start by isolating the x-variable as much as you can:


Now, if we take the log with base 13 of both sides, then the left hand side will cancel out really easily. This is based on the concept of inverse operations. For example, when we take the square of a square root, we get our initial value. This is because the two operations are inverses of each other, and basically undoes each other.
Logarithms and exponentials are the inverse operations of each other. If we want to extrapolate the power of an exponential, we take the logarithmic function of it, and vice versa.
In this case, we are saying what power of '13' will produce us with 13ˣ, and the only answer will be x itself.

Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion

Then we plug in the values

and
can be simplified to
, so that is our ratio of similarity
then we know

Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.