Answer:
X = 48.014%
Y = 51.986%
Step-by-step explanation:
Given
151 EU has a mass of 150.9196 amu
153 EU has a mass of 152.9209 amu
Calculating the relative abundance of the two EU isotopes.
First condition that must be satisfied is
X + Y = 100%;
X + Y = 1. ----- Equation 1
Second Condition is;
150.9196X + 152.9209Y = 151.96 ------ Equation 2
In Equation 1; make Y the subject of formula.
So, Y = 1 - X.
Substitute (1 - X) for Y in Equation 2
150.9196X + 152.9209(1 - X) = 151.96 ----Open bracket
150.9196X + 152.9209 - 152.9209X = 151.96 ---- Collect Like Terms
150.9196X - 152.9209X = 151.96 - 152.9209
−2.0013X = -0.9609
X = -0.9609/-2.0013
X = 0.480137910358267
X = 48.014% ----- Approximated
Y = 1 - X
Y = 1 - 48.014%
Y = 0.51986
Y = 51.986% ---- Approximated
Answer:
x = - 
, x = 
Step-by-step explanation:
to find the points of intersection equate the 2 equations , that is
7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )
6x² - 5x - 25 = 0 ← factor the quadratic on left side
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 25 = - 150 and sum = - 5
the factors are - 15 and + 10
use these factors to split the x- term
6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term
(2x - 5)(3x + 5) = 0
equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = -
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
The correct answer is y = 1.5x, A.
I am sure it is because I took the K12 test. I used the answer from the other person that answered this, and got it wrong. I reviewed the test, and It says that 1.5x is correct.
Answer:
x = -7
Step-by-step explanation:
41 + 76 + x + 70 = 180
x + 187 = 180
x = 180 - 187
x = -7
