Answer: x = 115/2 and 119/6
You can simplify the answer.
Step-by-step explanation:
(2x + 5)(6x -1)= 120
120 = (2x +5) and (6x -1) = 120
120 - 5 = 2x and 6x = 120 - 1
115 = 2x and 6x = 119
115/2 = x and x = 119/6
Answer:
a). The company's percentage=60%
b). The total premium=$812.50
c). The company's payment=$487.50
Step-by-step explanation:
a).
The total premium can be expressed as;
T=H+R
where;
T=proportion of total premium
H=proportion paid by Harold Wagner
R=remaining proportion
In our case;
T=100%
H=40%
R=r
replacing;
100%=40%+r
r=100%-40%
r=60%
The company's percentage=60%
b).
The total premium, if 40%=$325.00
Let total premium be=t
40% of t=325
(40/100)×t=325
0.4 t=325
t=325/0.4
t=$812.50
The total premium=$812.50
c).
The company's payment=60% of total premium
The company's payment=(60/100)×812.5
The company's payment=$487.50
Answer:
D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
The given triangle has vertices at R(3,4), S(1,1), and T(5,1)
Translating the the vertices down by 2 units, we apply the rule;
Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:
Therefore the correct choice is D.
Answer:
Equation = X*(2/3) = 3/20
Solve for X = 0.23
Step-by-step explanation:
Let, the number be "X"
According to the question,
X*(2/3) = 3/20..........(i)
From equation (i), we can get,
X = (3/20)/(2/3)
or, X = 0.15/0.66
or, X = 0.23
Alternative way,
Let, the number be "X"
According to the question,
X*(2/3) = 3/20..........(i)
From equation (i), we can get,
X = (3/20)/(2/3)
or, X = (3/20)*(3/2)
or, X = 9/40
or, X = 0.23
It is helpful to write them in different ways
some ways to write them are
1.fractions
2.decimals
3.squareroots (if applicable)
so it would be more helpful in an equation to leave 6/7 in fractional form if you are going to manipulate it more, because 0.857142857142... is much harder to keep track of than 6/7
and sometimes, they want a percent which is easier to convert to from decimal form than from fractinoal form so ex 0.857142857142...=85.7% vs 6/7 to percent
sometimes there will be square roots and they are easier if left like that ex
√2=1.4142135623...
it would be easier to leav it in square root
it depends on the equation you are trying to solve, because different forms have different pros and cons, some are easier to work with in a certain form but not in another, sometimes, you will need to change between multipule forms during the same problem
