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Ber [7]
3 years ago
10

Find the solution of 2/3x+1/4=-4/3

Mathematics
1 answer:
wolverine [178]3 years ago
6 0
These questions can be daunting at first, but they're pretty simple to solve.

First, we need to establish a common denominator.  We have 2 / 3, 1 / 4, and
-4 / 3.  The least common denominator we can get is by multiplying 4 and 3 together to get 12.  So we will change the denominator as follows;

2 / 3, 1 / 4, -4 / 3  =  8 / 12, 3 / 12, -16 / 12

Now we can put these back into the equation.

8/12x + 3/12 = -16/12
8x + 3 = -16

It's simple math from here on out, but I'll show the process.  What we can basically do now is take away the denominator because it doesn't matter now that it's common.

Subtract 3 from both sides.  Now we have 8x = -19

Dividing by 8 on both sides of the equation will get you your answer.

x = -19/8


Hope this helps!
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1. Remove the parenthesis using the next rules:

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2. Start to remove the parentheses from the center to the edges:

-(-(8))=-(-8)=+8=8<h2>Then, the solution is 8</h2>
3 0
1 year ago
2. Find the number of distinct triangles with c=11,b=7,B=18 a.0 b.1 c.2 d. cannot be determined
jok3333 [9.3K]
Answer: Choice C) 2

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

Explanation:

Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5

Those approximate values of C round to
C = 29.05 and C = 150.95

If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number

If C = 150.95, then angle A is 
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number

There are two distinct triangles that can be formed. 
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate
7 0
3 years ago
Can somebody please answer this
Ray Of Light [21]
It would be c that is the answer
8 0
3 years ago
What would be the third step in simplifying the expression 4 2 ÷ (2 · 9) + 5?
ludmilkaskok [199]
P
E
M
D
A
S

okay since the first step is parenthesis, the next step would be exponents but you have none so you skip to multiplication, then you divide

divide is your answer
8 0
3 years ago
Which represents the volume of the cylinder, in cubic units?<br><br> 120π<br> 130π<br> 300π<br> 325π
IrinaVladis [17]
Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
5 0
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