Answer:
x = $11400
Step-by-step explanation:
Naomi is paid $190 per week plus 5.5% of her total sales in dollars, x, which can be represented by g ( x ) = 190 + 0.055 x.
And Josiah is paid $475 per week plus 3% of his total sales in dollars, x, which can be represented by f ( x ) = 475 + 0.03 x
Let the weekly pat for them are equal.
Then, g(x) = f(x)
⇒ 190 + 0.055 x = 475 + 0.03 x
⇒ 0.025 x = 285
⇒ x = $11400
Therefore, for the value of x = $11400, that will make their weekly pay the same. (Answer)
Divide 11 by 24 and you get 0.44
So 44% of the holiday concert are boys.
Answer:
A) 17 m B) 20.8 m
Step-by-step explanation:
I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11
26-11 = 15
I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)
AB is the hypotenuse
We can use the pythagorean theorem to find length AB (a^2 + b^2 = c^2)
a and b is the legs which is 8 and 15
8^2 + 15^2 = AB^2
64 + 225 = AB^2
289 = AB^2
√289 = AB (to undo a square, you use square roots)
√289 = 17
AB = 17 m
Now we need to find the hypotenuse of AC
the same thing, we did for problem A, use the pythagorean theorem
17^2 + 12^2 = AC^2
289 + 144 = AC^2
433 = AC^2
√433 = AC
√433 is <em>about </em>20.808...
round to the tenth as stated in the directions
AC = 20.8 m
Notice that
That is, the <em>n</em>-th term (where <em>n</em> = -1, 0, 1, …, 9) in the sum on the left side has a partial fraction decomposition of
and in the sum, some adjacent terms will cancel and leave you with
Now solve for <em>x</em>, bearing in mind that we cannot have <em>x</em> = 0, -1, -2, …, -10 :
Combine the fractions on the left side:
Then we must have
so that either <em>x</em> = 2 or <em>x</em> = -11.
Answer:
2x^2-9x-5
Step-by-step explanation:
Just multiply
