Answer:
9/10
Step-by-step explanation:
we substitute the unknown number as "x"
2x + 12 = 8x + 3
12 - 3 = 8x + 2x
9 = 10x
x = 9/10
Answer:
5 + sqrt(65), 5 - sqrt(65)
Step-by-step explanation:
x + y = 10
x×y = -40
so, two equations with 2 variables. using one equation to express one variable by the second. and then using the second equation to solve and calculate the second variable. and then by knowing the second variable we calculate the first.
=> x = 10 - y
=> (10-y)×y = -40
=> -1×(10-y)×y = 40
=> (y-10)×y = 40
=> y^2 - 10×y - 40 = 0
remember the solution for a quadratic equation
a×x^2 + b×x + c
is
x = (-b ± sqrt(b^2 - 4×a×c)/(2×a)
in our case
a = 1
b = -10
c = -40
and we used "y".
so,
y = (--10 ± sqrt((-10)^2 - 4×1×(-40))/(2×1) =
= (10 ± sqrt(100 + 160))/2 = (10 ± sqrt(260))/2 =
= (10 ± sqrt (4×65))/2 = 10/2 ± 2×sqrt(65)/2 =
= 5 ± sqrt(65)
=>
for y = 5 + sqrt(65), x = 10 - 5 - sqrt(65) = 5 - sqrt(65)
for y = 5 - sqrt(65), x = 10 - 5 + sqrt(65) = 5 + sqrt(65)
Answer:
A. 24:56
Step-by-step explanation:
Let's find the answer by considering that 'X' represents the employees that earn the bonus and 'Y' the employees that didn't.
Where:
X=24
Y=56
Now, ''Express the number of employees who received the bonus as an unsimplified ratio to the number of employees who didn't receive the bonus'' means:
employees that earn the bonus : employees that didn't receive the bonus
which is:
X:Y = 24:56
In summary, the answer is A. 24:56.
<span>4(b-6)+19
Easily you would better start with distributing 4 to the brackets
4(b -6) = 4*b - 4*6 = 4b - 24
then add 19 to these terms, we get:
4b - 24 + 19
combine like terms (which are -24 + 19), we get:
4b - 5
That's it....
Hope that helps
</span>
It is 10.2 centimeters so option A :)
