Answer:
Step-by-step explanation:
First, distribute the 2 to the 3z and -6 within the parenthesis.
You know have 6z -12/5 + 6 = 10
Subtract 6 from both sides of the equation
6z -12/5 = 4
Multiply 5 on both sides of the equation
6z -12 = 20
Add 12 to both sides of the equation
6z = 32
Divide by 6 on both sides of the equation
z = 32/6
Simplify
z = 16/3
I hope that this helps! :)
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Answer: 500$
Explanation:
I hope this helped!
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- Zack Slocum
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Answer:
Maria's string is 45 cm long and Katy's string is 39 cm long
Step-by-step explanation:
Let's call the size of Maria's string X, and the size of Katy's string Y.
So, using the information from the problem, we can formulate a system of equations:
If Maria's string is 6 cm longer than Katy's, so:
X = Y + 6
If the strings together have 84 cm, so:
X + Y = 84
The first equation can be rewritten as X - Y = 6
Summing up both equation, we have that:
2X = 90
X = 45
Using X value in the first equation, we have that:
45 = Y + 6
Y = 39
So, Maria's string is 45 cm long and Katy's string is 39 cm long
Answer:
x = 6
Step-by-step explanation:
for SPECIAL RIGHT TRIANGLES specifically a 30°-60°-90° triangle.
The longest side is the hypotenuse. The longest side is twice the shortest side. Or the other way around, the shortest side is half the longest side.
Here the longest side (hypotenuse) is 12, so the shortest side is 6.
Also, since you seem to be trying to get this subject.
The long leg is the short leg× sqroot3.
OR the short leg is the long leg ÷ sqroot3. If you end up with a sqroot on the bottom of a fraction, you can't leave it like that. Times top and bottom by sqroot3/sqroot3 to fix it.
Answer:
- a = -1
- b = -9
- c = 9
- d = 3
- e = 3
- f = 2
- g = 3/2 = 1.5
Step-by-step explanation:
For "a", we recognize that 6-2x is the opposite of 2x-6, so multiplying the latter by -1 will give the former. a = -1
For "b", we notice the denominator no longer has -1 as a factor. Rather, that has be applied to the numerator, which is now -9. b = -9
For "c" we have combined the two numerators over the common denominator. Note that the sign is already provided. 3x +(-9) = 3x -9. c = 9
For "d" and "e", we recognize that 3 is a factor of both terms of the numerator of the previous expression. Here, we factor that out. d = 3, e = 3
The common factor of the terms in the denominator is factored out to find "f". That value is 2. f = 2
The numerator and denominator factors of (x -3) have been cancelled in the last step, leaving the result d/f = 3/2. This is the value of the simplified expression, hence the value of g. g = 3/2 = 1.5
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<em>Comment on g</em>
We don't know if your answer checker is able to accept fractions as input, so we have expressed g both as a fraction and as a decimal number.
