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Answer: Add 5 to both sides
What is the first step needed to solve 4 over 7 the whole multiplied by x minus 5 equal negative 13?
Answer- Add 5 to both sides
(4/7)x - 5 = -13
• As mentioned above, first step would be,
adding 5 to both sides
=> (4/7)x - 5 + 5 = -13 + 5
=> (4/7)x = -8
• Now, transporting 7 from L.H.S. to R.H.S
=> 4x = -8 × 7
=> 4x = -56
• Now in the same way, transporting 4 from L.H.S. to R.H.S
=> x = (-56/4)
=> x = -14
• And in this way, or taking<u> (Add 5 to both sides)</u> as our first step, we find that the value of x is -14.
<u>∴ </u><u> </u><u>x = -14</u>
Hope it helps.
Answer:
The score of the dropped grade is 6
Step-by-step explanation:
To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores
(a+b+c+d+e)/5=10
Then we can multiply both sides by 5 and get
a+b+c+d+e=50
Lets assume that c is the lowest test score. To calculate the average of that we get
a+b+d+e/4=11
Doing the same thing, we know that a+b+d+e=44
Now compare the two:
a+b+c+d+e=50
a+b+d+e=44
We can now know that c=50-44=6
So, 6 is the score of the dropped quiz. Hope that helped!
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
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