Answer:
8% i hope this helps! :)
Step-by-step explanation:
multiply both by 2
8/100 from 4/50
so you have .08
8%
Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.
Given:
Drawing a vowel from letter tiles that spell out MATHEMATICS.
Chances = ![\dfrac{?}{?}](https://tex.z-dn.net/?f=%5Cdfrac%7B%3F%7D%7B%3F%7D)
To find:
The correct values for the blanks.
Solution:
Vowels are a, e, i, o, u.
In MATHEMATICS, the vowels are A, E, A, I.
Number of vowels = 4
We know that,
![Probability=\dfrac{\text{Number of selected vowels}}{\text{Total number of vowels}}](https://tex.z-dn.net/?f=Probability%3D%5Cdfrac%7B%5Ctext%7BNumber%20of%20selected%20vowels%7D%7D%7B%5Ctext%7BTotal%20number%20of%20vowels%7D%7D)
![Probability=\dfrac{1}{4}](https://tex.z-dn.net/?f=Probability%3D%5Cdfrac%7B1%7D%7B4%7D)
So, the chance of drawing a vowel from letter tiles that spell out MATHEMATICS is
.
Blank 1: 1
Blank 2: 4
Therefore, the value for blank 1 is 1 and the value for blank 2 is 4.
This is true when x is 5/4
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40