Answer:
The bake sale raised $412.35
Step-by-step explanation:
* Lets explain how to solve the problem
- A local Charity receives 1/3 of funds raised during a craft fair and
bake sale
∴ The total amount given to the charity = 1/3 × the funds raised during
a craft fair and bake sale
- The total amount given to the charity was $137.45
∴ The 1/3 of of funds raised during a craft fair and bake sale is $137.45
- Lets substitute the The total amount given to the charity in the
equation above to find the funds raised during the bake sale
∴ 137.45 = 1/3 × the funds raised during the bake sale
- Multiply the both sides by 3
∴ 3 × 137.45 = the funds raised during the bake sale
∴ The funds raised during the bake sale = 412.35
* The bake sale raised $412.35
Answer:
The correct answer is D) y = 1/2x - 14
Step-by-step explanation:
To find this equation, start with the slope of the original line. Since it is 1/2, the new line will also have that slope because parallel lines have the same slope. Now we can use this with the given point to find the equation.
y - y1 = m(x - x1)
y + 17 = 1/2(x + 6)
y + 17 = 1/2x + 3
y = 1/2x - 14
Answer:
E) 176
Step-by-step explanation:
The difference in ratio units is 5 -3 = 2. If one ratio unit changes sides, the ratio will be 4 : 4, or 1 : 1. Then one ratio unit represents 22 group members.
There are a total of 5+3 = 8 ratio units, so there are ...
8 × 22 = 176
people in the group.
_____
<em>Check</em>
The original group has 5 × 22 = 110 Yankees fans and 3 × 22 = 66 Dodgers fans, for a total of 110+66 = 176 group members. If 22 switch sides, there will be 110-22 = 88 Yankees fans and 66+22 = 88 Dodgers fans, making the ratio ...
88 : 88 = 1 : 1
Answer:
When we have a rational function like:
The domain will be the set of all real numbers, such that the denominator is different than zero.
So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.
Then we need to solve:
x^2 + 3 = 0
x^2 = -3
x = √(-3)
This is the square root of a negative number, then this is a complex number.
This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.
D: x ∈ R.
b) we want to find two different numbers x such that:
r(x) = 1/4
Then we need to solve:
We can multiply both sides by (x^2 + 3)
Now we can multiply both sides by 4:
Now we only need to solve the quadratic equation:
x^2 + 3 - 4*x - 4 = 0
x^2 - 4*x - 1 = 0
We can use the Bhaskara's formula to solve this, remember that for an equation like:
a*x^2 + b*x + c = 0
the solutions are:
here we have:
a = 1
b = -4
c = -1
Then in this case the solutions are:
x = (4 + 4.47)/2 = 4.235
x = (4 - 4.47)/2 = -0.235
