Answer:
24 and 30
Step-by-step explanation:
The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:
x + y = 54
The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:
y - 6 = x
Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:
x + y = 54
y - 6 + y = 54
Combine like terms:
2y - 6 = 54
Now we can solve for y:
2y - 6 = 54
Add 6 to both sides of the equation to isolate the 2y:
2y = 60
Divide both sides by 2 to find the value of y:
y = 30
Now that we know the value of y, we can solve for x:
y - 6 = x
30 - 6 = x
24 = x
The value of the two numbers is 24 and 30.
Answer:
Solve v + 6 = 5v − 2 to find the value of v.
Step-by-step explanation:
<u><em>I don't know if this is 100% correct...but i think this is how you would solve this problem!!!</em></u><u><em /></u><em />
OOOKKKKK.........
We all know that a well is circular. So, First, lets find out the circumference of the wheel.
Given :
radius = 10 feet
π = 22 / 7
We know,
Circumference = 2πr
= 2 × (22 / 7) × 10
= 62.9 ft.
Now,
One revolution means the wheel has covered a distance equal to its circumference. So, 22 revolutions per minute means that the wheel is covering 22 times its circumference in 1 minute. So, Lets convert the revolution to feet.
Given,
The wheel is travelling at 22 revolutions per minute.
= 22 * Circumference per minute
= 22 * 62.9 ft. per minute
= 1383.8 ft. per minute
Now, that we know how much feet it is travelling in 1 minute, we can easily find how much it takes it to travel 10 feet.
Using unitary method,
The wheel travels 1383.8 ft. in 1 minute
The wheel travels 1383.8 ft. in 60 seconds.
The wheel travels 1 ft. in (60 / 1383.8) seconds.
The wheel travels 10 ft. in (60 / 1383.8) * 10 seconds.
= 0.4 seconds
So, the answer is 0.4 seconds. Of course...the answer is rounded!!
Step-by-step explanation:
2x^2 + x - 28
= 2x^2 - 8x + 7x - 28
= 2x(x-4) +7(x-4)
= (2x+7)(x-4)
2x+7 = 0 or x-4 = 0
x = -7/4 or x = 4
