Answer:
Step-by-step explanation:
Given
Represent Goldfish with g and hermit crabs with h.
The first statement, we have:
The second statement, we have:
Required
Determine the selling price of 6 goldfish and 4 hermit crabs
The equations are:
--- (1)
--- (2)
Make g the subject in (2)
Divide both sides by 4
Substitute 
for g in (1)
Multiply through by 4
Open bracket
Collect Like Terms
Make h the subject
Substitute 4 for h in
This implies that:
1 goldfish = $2
1 hermit crab = $4
The cost of 6 goldfish and 4 hermit crabs is:
I think you should go with A).
Answer: 3.6 feet per year
Pick any column and divide the feet over the years
eg: 7.2/2 = 3.6 (column 1)
You can think of it as the ratio
7.2 feet: 2 years
and then divide both sides by 2 to get "1 year" on the right side
7.2 feet: 2 years
7.2/2 feet: 2/2 years
3.6 feet: 1 year
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
Answer: 1) The missing length is 40. 2) The missing side is 30 .
Step-by-step explanation:
1) 9^2 + b^2 = 41^2
81 + b^2 = 1681
-81 -81
b^2 = 1600
b= 40
2) 24^2 + 18^2 = c^2
576 + 324 = c^2
900 =c^2
c= 30
