Answer:
(i think) 1.5
Step-by-step explanation:
If you replace y with the equation y=2x-3, you get 5(2x - 3)
if you distribute this, it equals 10x - 15
combining like terms 10x + 10x - 15=15 will turn into 20x - 15 = 15
if you add 15 to both sides, -15 will cancel and 15 will turn into 30
20x = 30
divide both sides by 20 which will lead to x=1.5
Answer:
The answers would be as follows:
1. d
2. a
3. a
Step-by-step explanation:
To find the combined terms, focus only on the terms that have the same variable value. See the examples below.
1.
7 + 19t - 6t
7 + (19t - 6t)
7 + 13t
2.
5/6x - 2/3x
(5/6x - 2/3x)
1/6x
3.
8 + 16r - 9r
8 + (16r - 9r)
8 + 7r
Because one is put into fraction form. Therefore the one in fraction form is going to be smaller. 5*4=20 and 5*1/4=1.25. I hope my answer helped you.
Answer:
70.3km
Step-by-step explanation:
When the bearings are visualized and the points connected as a triangle, The angle x would be the difference of the both bearings from x
i.e 117-41 = 76
Using cosine rule,
YZ²= 43² + 67² - 2 x 43 x 67
cos76
YZ= √4944
= 70.3
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
