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sergeinik [125]
3 years ago
10

F=g+3h make h the subject

Mathematics
1 answer:
adoni [48]3 years ago
3 0
To rearrange, we must work backwards
When working forwards, we use BIDMAS
Brackets
Indices
Division
Multiplication
Addition
Subtraction

F = g + 3h
In this example, we would do the multiplication, then addition
Therefore to find h, we work with the addition then the multiplication
When rearranging, we must always do the opposite of the operation to counteract it

First, we must get rid of the g
g is positive, so we subtract g on both sides of the equals sign to get rid of it

    F = g + 3h
(-g)   (-g)
F - g = 3h

Next, to get from 3h to h, we divide by 3 - therefore we do the same to the other side

F - g = 3h
(/3)      (/3)
(F - g)/3 = h

h = (F - g)/3
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Sauron [17]
Corresponding is the answer.
3 0
3 years ago
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a motorboat travels 456 km in 8 hours going upstream and 783 km in 9 hours going downstream. what is the rate of the boat in sti
Galina-37 [17]
\begin{gathered} \text{Let;s assume the sp}e\text{d of boat in still water is x.} \\ And\text{ the spe}ed\text{ of stream is y.} \\ For\text{ upstream,} \\ (x-y)\times8=456 \\ x-y=57\ldots(1)_{} \\ (x+y)\times9=783 \\ x+y=87 \\ x=87-y\ldots(2) \\ \text{Now, substitute the value of x in the equation (1).} \\ 87-y-y=57 \\ -2y=57-87 \\ 2y=30 \\ y=15\text{ km/hours (rate of current)} \\ \text{Substitute the value of y in the equation (2).} \\ x=87-15 \\ x=72\text{ km/hours (boat in still water)} \end{gathered}

4 0
1 year ago
Please show work on how to do this​
Irina-Kira [14]

Answer:

  • - 2.71

Step-by-step explanation:

  • 2· 4^{v + 4} + 20 = 32
  • 2· 4^{v + 4} = 12
  • 4^{v + 4} = 6
  • (v + 4) log 4 = log 6
  • v + 4 = log 6 / log 4
  • v + 4 = 1.29  (<em>rounded</em>)
  • v = 1.29 - 4
  • v = - 2.71
5 0
3 years ago
Find the difference: -2/5-(-4/5)
CaHeK987 [17]

Answer:

2/5

Step-by-step explanation:

-2/5-(-4/5) (remove the parentheses)

-2/5+4/5 (calculate)

solution: 2/5

hope this helps!

5 0
3 years ago
Find the volume of the prism.
Alex_Xolod [135]

Answer:

c. 120 units^3

Step-by-step explanation:

L x W x H = <em>V</em>

3 x 4 / 2 = 6

6 x 20 = 120

6 0
3 years ago
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