Answer:
12/5hours=2.4 hours
Step-by-step explanation:
Sam:6hours
Tom:4hours
This is a rate problem
Sam's rate is one job completed in 6 hours which is 1/6
Tom's rate is one job completed in 4 hours which is 1/4
Together, they could complete 1/4+1/6 of the job in y hours
We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y
1/4+1/6=1/y
The least common denominator is 12y
Multiplying through by the LCD which gives:
12y(1/4)+ 12y (1/6)= 12y (1/y)
3y + 2y=12
5y = 12
y=12/5 hours=2.4hours
Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together
Answer:
Please check the explanation.
Step-by-step explanation:
Given that
|v|=38
Ф = 120°
<u>Finding the horizontal component</u>
The horizontal component can be obtained using the formula
Vx = |v| cos Ф
= 38 cos 120°
= 38 (-0.5)
= -19
Thus, the horizontal component is:
Vx = -19
<u>Finding the vertical component</u>
The vertical component can be obtained using the formula
Vy = |v| sin Ф
= 38 sin 120°
= 38 (0.86)
= 32.68
Thus, the vertical component is:
Vy = -19
- A vector 'v' with magnitude |v| and direction Ф can be written as:
v = |v| cos Ф i + |v| sin Ф j
As
|v|=38
Ф = 120°
Thus, the vector is
v = 38 cos 120° i + 38 sin 120° j
or
v = -19 i + 32.68 j
Answer:
71, 72, 73, 74 . for details, check below
Step-by-step explanation:
a) Let's assume that among the four consecutive numbers, the first one is x,
so, the four consecutive numbers should be:
- x
- x+1
- x+2
- x+3.
According to the question,
(x) + (x + 1) + (x + 2) + (x + 3) = 290
<h2>
b)</h2>
(x) + (x + 1) + (x + 2) + (x + 3) = 290
4x + 6 = 290
4x = 284
x = 284÷ 4
x = 71.
So, the numbers are,
71, 72, 73, 74
The answer is y-4=-3(x-13)
46.8 is 39% of 120. Hope this helped you!
