Hi there,
Your question is "twice a number (x) is fifty"
Recall how a number is represented by x.
Twice a number would be represented as 2x.
Therefore, to represent that twice a number is equal to 50, that would result in the expression: 
If you're looking to solve this equation, it's often best to think about the "reverse" of the current equation.
Notice how 2 is multiplying the x.
To isolate x, divide that side by 2.
However, recall that whatever is done to one side of an equation must also be done to the other side of the equation. Therefore, you will need to divide both sides by 2.
Equation:
Solving for x: 25
Hope that helps!
Answer:
Therefore the probability that a pen from the first box and a crayon from the second box are selected is 
Step-by-step explanation:
Probability:
The ratio of the number of favorable outcomes to the number all possible outcomes of the event.
Given that,
Three plain pencils and 5 pens are contained by the first box.
Total number of pens and pencils is =(3+5)=8
The probability that a pen is selected from the first box is
=P(A)
A second box contains three colored pencils and three crayons.
Total number of pencils and crayons is =(3+3)=6
The probability that a crayon is selected from the second box is
=P(B)
Since both events are mutually independent.
The required probability is multiple of the events
Therefore the required probability is
One way in which to approach this problem would be to treat it as an equation of ratios and to cross multiply:
<span>[(4x + 15) / 5x)] = 1/2 could be written as:
4x + 15 1
----------- = ---
5x 2
Then 8x + 30 = 5x
3x = -30, and so x = -10 (answer). Be certain to check this answer through substitution!
</span>
Answer:
B.a vertical shift of 9 units up
Step-by-step explanation:
Given 
It means shifting 
unit vertically.
Now, we will find the value of 
for the given function
Hence, vertical shift of 9 units.
Answer:
B.2
Step-by-step explanation:
To make ΔA'B'C' from ΔABC, we need to use t
he scale factor =|A'B'|/|AB|=10/5=2
