Answer:


Step-by-step explanation:
the ratio of sides of a 30-60-90° triangle, respectively, are 1 :
: 2
we can solve for 'x' using this proportion:
x/4 = 1/
now cross-multiply:
x = 4
x = 4/
we don't want to leave a radical in the denominator so we can multiply numerator and denominator by
to get:
4
/ 3 or 

The question is an illustration of a system of linear equations.
- The system of linear equations is:
and 
- The solution to the equation is (25,500)
Let the number of miles be x.
<u>Getting trained and licensed</u>
- One time cost: $450
- Gas and Insurance: $2 per mile
So, the equation is:

<u>Delivery</u>
- First delivery: $350
- Rate: $6 per mile
So, the equation is:

Hence, the system of linear equations is:
and 
To solve the equation, we equate both, as follows:

Collect like terms


Divide both sides by 4

Substitute 25 for x in 



Hence, the solution to the equation is (25,500)
Read more about linear equations at:
brainly.com/question/14323743
Remove parentheses.
-3/8 -1/6
Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.
LCD=24
Make the denominators the same as the LCD.
- 3x3/8x3 - 1x4/6x4
Simplify. Denominators are now the same
-9/24 - 4/24
Join the denominators
-9-4/24
Simplify
-13/24
Answer:
31.5 hours studying English
Step-by-step explanation:
2 math hours = 3 english hours
21 math hours = ? english hours
21/2 = 10.5
10.5 * 3 = 31.5
99.7%
This is because the likelihood of a point being within 2 SDs of the mean is 99.7%.