Answer: Option D
Step-by-step explanation:
The equation of the line, by definition, has the following form:
y=mx+b
Where m is the slope and b is the y-intercept
As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.
Now, to find the slope, choose any point of the line and solve for m:
Point (1,1)
1=m(1)+2
-1=m
Then, the equation is:
y=-x+2
Answer:
Step-by-step explanation:
Given that Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the remaining portions equally among 5 charities.
The portion son gets = 
Charity on the whole gets = 3 portions = 
Each charity gets = 
Thus we find son gets 11500 dollars while each charity gets 6900 dollars.
The difference = 
4600 dollars he got more.
The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.
We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
Answer:
Amount of money share by Jess = £25.70
Another Amount of money share by Jess = £34.3
Step-by-step explanation:
Given:
Amount of money Jess have = £60
Sharing ratio = 3 : 4
Find:
Amount of money share by Jess
Computation:
Sharing amount = Shared ratio / Sum of ratio
Amount of money share by Jess = 60[3/(3+4)]
Amount of money share by Jess = 60[3/(7)]
Amount of money share by Jess = 180 / 7
Amount of money share by Jess = £25.70
Another Amount of money share by Jess = £60 - £25.70
Another Amount of money share by Jess = £34.3
Answer:
Measure of Arc AC is 30 degrees
Step-by-step explanation:
To find the value of the marked arc, we are going to use the arc-angle relationship
from the type of given diagram, we can figure out the relationship to use
Mathematically, we have this as;
Measure of Arc AC = 2 * angle ABC
So we have arc AC as 2 * 15
Arc AC = 30 degrees
