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o-na [289]
3 years ago
8

Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?

Mathematics
2 answers:
My name is Ann [436]3 years ago
7 0

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

<u>Step-by-step explanation:</u>

We have , The given expression as Three-fourths x = negative 6  , which can be written as \frac{3}{4} (x) = -6 . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's  \frac{3}{4} , Let's make coefficient of x  as 1 by multiplying both side of equations by 4/3:

\frac{3}{4} (x) = -6

⇒ \frac{3}{4} (x) = -6

⇒ \frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )

⇒ x = -6(\frac{4}{3} )

⇒ x = -2(4)

⇒ x = -8

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>

Ne4ueva [31]3 years ago
6 0

Answer:

It is A

Step-by-step explanation:

I DID THE TEST

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what is the slope of a line parallel to the line whose equation is y= -5/2x+7. fully simplify your answer
Feliz [49]

Answer:

-5/2

Step-by-step explanation:

7=intersect of y

-5/2=Slope

7 0
3 years ago
The work of a student to solve a set of equations is shown below: m=8+2n; 4m=4+4n. Solve by elimination
nadya68 [22]

Answer:

Step-by-step explanation:

4(8+2n) = 4 + 4n

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4 0
3 years ago
There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
Aliun [14]
<h3>Answer:  28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

----------------------------------

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

----------------------------------

Method 3

Use the nCr combination formula with n = 8 and r = 2

n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0
2 years ago
To hang lights up on his house.Garrett place is a 14 foot ladder 4 feet from the base of the house. How high up the house will t
Firlakuza [10]

This seems like a right triangle problem.

So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (a^{2} +b^{2} =c^{2}) to solve for the height of the house, in which we shall name it x.

So, the equation is 4^{2} +x^{2} =14^{2}.

Solve for x:

16+x^{2}= 196

x^{2}= 196-16

x^{2}= 180

x = 6√5 feet


Hope this helps!

5 0
3 years ago
Read 2 more answers
ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?
Alex17521 [72]

Answer:

Perimeter of A'B'C'D' = 9 units

Step-by-step explanation:

Given:

Perimeter of ABCD = 27 units

Scale factor = 1 / 3

Find:

Perimeter of A'B'C'D'

Computation:

Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]

Perimeter of A'B'C'D' = 1/3[27]

Perimeter of A'B'C'D' = 9 units

4 0
3 years ago
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