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natita [175]
3 years ago
9

Hat term can you add to StartFraction 5 over 6 EndFraction x minus 4 to make it equivalent to One-half x minus 4?

Mathematics
1 answer:
kolezko [41]3 years ago
8 0

Answer:

\dfrac{-x}{3}should be added to the given equation.

Step-by-step explanation:

Let a is added to the given equation.

According to the given condition,

\dfrac{5x}{6}-4+a=\dfrac{x}{2}-4\\\\a=\dfrac{x}{2}-4+4-\dfrac{5x}{6}\\\\a=\dfrac{x}{2}-\dfrac{5x}{6}\\\\a=\dfrac{3x-5x}{6}\\\\a=\dfrac{-2x}{6}\\\\a=\dfrac{-x}{3}

So, \dfrac{-x}{3}should be added to the given equation.

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Earl runs 75 meters in 30 seconds .How many meters does Earl run per second​
belka [17]

Answer:

2.5 meters per second

Step-by-step explanation:

75/30 = 2.5

I'd choose 25 because the person who wrote the answers probably forgot to add decimal points

6 0
3 years ago
Amber is starting a garden. She plants 2 flowers the first month. The next month, she plans three times more flowers (6 flowers)
Artist 52 [7]
This is a geometric progression problem. We can the general formula that can tell us how many flowers would be planted each month.
Let's write the terms that we know and see if we can find the pattern:

\begin{tabular}{lll}
Month & Number of flowers planted & Different form            \\
1     & 2                         & 2\cdot3^0 \\
2     & 6                         & 2\cdot3^1 \\
3     & 18                        & 2\cdot3^2 \\
4     & 54                        & 2\cdot3^3
\end{tabular}
\end{table}
The patern here is obvious. Let's write it down:
N=2\cdot3^{n-1}
This formula gives us a number of flowers planted in the n-th month.
6 0
3 years ago
A candle maker has 4 1/2 pounds of clear wax. He wants to cut the wax into pieces that are 2/3 pound each. How many 2/3 pound pi
prisoha [69]

Answer:

a)  10  pieces of  2/3 pound  can be made.

b) 0.54 pounds of wax is left over.

Step-by-step explanation:

Total amount of clear wax available =  4\frac{1}{2}  = \frac{9}{2} pounds

So, the maker has in total 4.5 pounds of wax

Now, The weight of each piece = \frac{2}{3}  = 0.66  pounds

To find the number of pieces that can be made out of 4.5 pounds of wax,

let that number = n

So, n = \frac{\textrm{Total weight of the clear wax}}{\textrm{Weight of each wax}}

or, n = n = \frac{4.5}{0.66}  = 6.81

So, nearly 6 pieces can be made completely out of the clear wax

Left over amount of wax  = Total weight -  Weights of the pieces made

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                                            = 0.54 pounds

Hence, 0.54 pounds of wax is left over

8 0
3 years ago
Need help with a math question
krek1111 [17]

Answer:

x=13°

Step-by-step explanation:

If BE is an angle bisector, then it divides the angle into two equal angles. This means that

∠ABE=∠EBC

Since ∠ABE=2x+20 and ∠EBC=4x-6, we have

2x+20=4x-6

2x-4x=-6-20

-2x=-26

2x=26

x=13°

4 0
3 years ago
A hot air balloon has a height of 50 feet and is rising at a rate of 5 feet per minute. Another hot air balloon has a height of
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