Answer:
Third answer (she is incorrect because she should have squared each leg length and then found the sum.)
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).
This matches with the third answer, as she has to do a² and b≥ separately.
**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!
Given that total number of pounds of grass seed needed = 9
Let number of pounds of Bermuda seeds used = x
Let number of pounds of Fescue seeds used = y
Then sum of both gives equation:
x+y=9
or y=9-x...(i)
Given that cost of 1 pound of Bermuda seed = $4.80
Then cost of x pound of Bermuda seed = $4.80x
Given that cost of 1 pound of Fescue seed = $3.50
Then cost of y pound of Fescue seed = $3.50y
total cost will be 4.80x+3.50y
Given that cost of 1 pound of mix seed = $4.02
Then cost of 9 pound of mix seed = $4.02*9
combining all three parts, we get equation:
4.80x+3.50y=4.02*9
4.80x+3.50y=36.18...(ii)
plug (i) into (ii)
4.80x+3.50y=36.18
4.80x+3.50(9-x)=36.18
4.80x+31.5-3.50x=36.18
4.80x-3.50x=36.18-31.5
1.3x=4.68
x=3.6
Now plug x=3.6 into (i)
y=9-x=9-3.6=5.4
Hence final answer is given by:
Let number of pounds of Bermuda seeds he should buy = 3.6 pounds
Let number of pounds of Fescue seeds he should buy = 5.4 pounds
To find out how much he makes per week, take the amount and divide it by the week.
1520/4=380.
He makes 380 per week.
The correct answer is 34.25
Answer:
Area and side length of rhombus.
Step-by-step explanation:
Directly proportional: If the first variable is multiplied by a constant, the other will also be multiplied by a constant.
Rhombus is a quadrilateral with equal side lengths.
Area increases with a quadratic relationship as a corresponding length increases if the angles do not change. If side length is multiplied by A, the area will be multiplied by A^2. If side length is doubled, the area will be 4 times greater.
Total cost is usually directly proportional to ticket price.
If number of tickets are doubled, the total cost will double.
Hours worked is usually proportional to money earned.
If one works twice as long, money earned will be twice as much.
Distance is proportional to time spent when speed is constant if travelling in a straight line. If time is twice as long, the distance traveled will double.