Answer:
-7
Step-by-step explanation:
use X to represent the unknown number
(x-16) -6=-138
-138/6= -23
(x-16)=-23
add 16 to both sides
x= -7
Julio's number is -7
you can also plug it back into the formula to prove it is right
Answer:
42 minutes
Step-by-step explanation:
70% x T = 98
7T/10 = 98
7T = 980
T = 140 mins
140 - 98
= 42 minutes
Answer:
Step-by-step explanation:
Let the horizontal distance is x
<u>Use tangent to solve this:</u>
- tan 30° = 6/x
- x = 6 / tan 30°
- x = 10.4 mi (rounded)
Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:

The first one:
is a geometric sequence of first term (
) "1" and common ratio (r) "
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one:
is a geometric sequence of first term "1", and common ratio (r) "
". Again, since the common ratio is smaller than one, we can find its infinite sum:

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
Answer:
9(x+3) + 2(x+3) or 10(x+2) +(x+5)
Step-by-step explanation:
First you want to distribute the equation.
4(x+1) + 7(x+3) multiplied out is
4x + 4 + 7x + 21
Now we add like terms so it comes out to
11x + 25
Two expressions that can come out to equal 11x + 25 is. 9(x+3) + 2(x+3) or 10(x+2) +(x+5)