Answer:
Check explanation
Step-by-step explanation:
Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
For GCF, you need at least another number
Answer:
![\huge \boxed{ \boxed{\mathbb{B)} \frac{40}{6} }}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%20%20%5Cboxed%7B%5Cmathbb%7BB%29%7D%20%5Cfrac%7B40%7D%7B6%7D%20%7D%7D)
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
![\sf multiply \: both \: sides \: by \: 6 : \\ (8 \times \frac{5}{6} ) \times 6 = z \times 6](https://tex.z-dn.net/?f=%20%5Csf%20multiply%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%206%20%3A%20%20%5C%5C%20%288%20%20%5Ctimes%20%20%5Cfrac%7B5%7D%7B6%7D%20%29%20%5Ctimes%206%20%3D%20z%20%5Ctimes%206)
![\sf simplify : \\ 8 \times 5 = 6z \\ 40=6z](https://tex.z-dn.net/?f=%20%5Csf%20simplify%20%3A%20%20%5C%5C%208%20%5Ctimes%205%20%3D%206z%20%5C%5C%2040%3D6z)
![\sf divide \: both \: sides \: by \: 6 : \\ \frac{6z}{6} = \frac{40}{6} \\ z = \frac{40}{6}](https://tex.z-dn.net/?f=%20%5Csf%20divide%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%206%20%3A%20%20%5C%5C%20%5Cfrac%7B6z%7D%7B6%7D%20%20%3D%20%20%5Cfrac%7B40%7D%7B6%7D%20%20%5C%5C%20z%20%3D%20%20%5Cfrac%7B40%7D%7B6%7D%20)
The solution to the equation
is (b) there is no solution.
<h3>How to solve the rational equation?</h3>
The equation is given as:
![\frac{2x}{x - 1} - \frac{2x -5}{x^2 - 3x + 2} = \frac{-3}{x -2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx%20-%201%7D%20-%20%5Cfrac%7B2x%20-5%7D%7Bx%5E2%20-%203x%20%2B%202%7D%20%3D%20%5Cfrac%7B-3%7D%7Bx%20-2%7D)
Factorize the quadratic numerator
![\frac{2x}{x - 1} - \frac{2x -5}{(x - 1)(x - 2)} = \frac{-3}{x -2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx%20-%201%7D%20-%20%5Cfrac%7B2x%20-5%7D%7B%28x%20-%201%29%28x%20-%202%29%7D%20%3D%20%5Cfrac%7B-3%7D%7Bx%20-2%7D)
Multiply through by (x - 1)(x - 2)
2x(x - 2) - (2x -5) = -3(x - 1)
Expand
2x² - 4x - 2x + 5 = -3x + 3
Collect like terms
2x² - 4x - 2x + 3x + 5 - 3 = 0
Evaluate the like terms
2x² - 3x + 2 = 0
Using a graphical tool, the above equation has no real solution
Hence, the solution is (b) there is no solution.
Read more about rational equations at:
brainly.com/question/1851758
#SPJ1
Answer:
109.5; B
Step-by-step explanation:
From your identity,
CosA = adjacent/ hypothenus
A represent an arbitrary angle between the sides in question.
In the question above, A=64
Hypothenus is the longest side and adjacent is the side just below the angle .
In the above case,
Hypothenus= X
adjacent =48
This means;
Cos64 = 48 /X
X = 48 / cos64; [ from cross multiplication and diving through by cos64]
X = 48 /0.4383 [ cos64 in radian = 0.4383]
= 109.51
= 109.5 to the nearest tenth.
Note( do your calculation of angle in radian or else, you won't get the answer)
Answer:
y=60+5x and you would have spent $120
Step-by-step explanation: