Answer: Problem 3: 20 laps per day,
Inequality: x >=20 per day
Problem 4: minimum of 8 employees
Step-by-step explanation:
Given that the goal is 600 laps in a month
And a month contains 30days, to achieve 600 laps, we divide 600 laps by 30 days
= 600/30= 20
Reem needs to swim a minimum of 20 laps per day to achieve her goal.
Inequality: x should be greater than or equal to 20 laps daily.
x >= 20
Problem 4:
Given that each employee can paint 85square feet per hour
The building has 1360 square feet and to be completed in two hours
Number of employees to complete the job in one hourwill be 1360/85 = 16
If 16 employees will complete 1360 per hour, then 8 employees will complete the work in 2 hours.
I have to form a couple of equations in order to solve it.
let the amount of soybean in the mixture be x and that of cornmeal be y
Step-by-step explanation:
x+y = 280
y = 280 - x
x*(14/100) + y*(7/100) = 280*(12/100)
Multiplying the whole equation by 100;
14x + 7y = 3360
in this equation,put y = 280 - x
14x +7 (280-x) = 3360
14x +1960 - 7x = 3360
14x - 7x = 3360 - 1960
7x = 1400
x = 200lbs
y = 280 - x
= 280 - 200
= 80 lbs
Inorder to make a 280lbs mixture having 12% protein, we should mix 200lbs of soyabean and 80 lbs of cornmeal
Answer:
(x-2)(x^2+2x+4)
Step-by-step explanation:
x^3-8
x^3-2^3, Now using the base equation for the difference of cubes
(x-y) (x+xy+y^2), y is equal to -2 in this instance.
(x-2)(x+2x+4)
Possible two digit pairings:
1*8 = 8(The two digit number being 18)
2*4 = 8 (The number being 24)
4*2 = 8 (Or, 42)
8*1=8 (81)
81 is the largest of the possible numbers.
You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.
