Answer:
The value of x = 4
Step-by-step explanation:
In this question, we are asked to calculate the value of the angle x
Here the ray cuts the angle into half.
Since the total of the angle was 120, half of this would be 120/2 = 60
Now, it is this value of 60, that our new angle equals to
Mathematically;
3x + 48 = 60
3x = 60-48
3x = 12
x = 12/3
x = 4
7^5 is your answer
Hope this helps
Answer:
A) Slope =

explanation:
Take 2 random points off the line, I used (4,1) & (8,2)
The formula to find the slope when given 2 points is

so in this case x1 & y1 are assigned to (4,1)
and x2 & y2 are assigned to (8,2)
so substitute the numbers into the formula and solve !

this will result in the answer I got above!!
B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals
C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!
Answer:
$210
Step-by-step explanation:
the expression is 25a+10c-5
where a=adults,c=children
and we have 5adults and 9 children
then 25a + 10c - 5 is
25(5)+10(9)-5
=125+90-5
=210
answer:Monica is going to purchase tickets for 5adults and 9 children for$210
Answer:
(i) The value of<em> m</em> when t = 30 is 13.2
(ii) The value of <em>t</em> when the mass is half of its value at t=0 is 34.7
(iii) The rate of the mass when t=50 is -0.18
Step-by-step explanation:
(i) The <em>m</em> value when t = 30 is:

Then, the value of<em> m</em> when t = 30 is 13.2
(ii) The value of the mass when t=0 is:
Now, the value of <em>t </em>is:


Hence, the value of <em>t</em> when the mass is half of its value at t=0 is 34.7
(iii) Finally, the rate at which the mass is decreasing when t=50 is:

Therefore, the rate of the mass when t=50 is -0.18.
I hope it helps you!