Answer:
x = 8
Step-by-step explanation:
Let there are x friends.
The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.
Total cost = $83.30
We need to solve for x. The equation for the scenario is given by :
$2.50x + $4.85x + $24.50 = $83.30
Taking like terms together
$2.50x + $4.85x = $83.30-$24.50
7.35
x = 58.8
x = 8
So, there are 8 friends.
Answer:
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
The foci c is at +/-2√5, using c² = a² + b²:
Substituting the value of a and b to get the equation of the hyperbola:
Answer:
The answer would be -10.
Step-by-step explanation:
It's -10 because -8-(-10) = 2
That is equal to -8 + 10 = 2 because two negative together make a positive number.
Answer:
6.8% decrease
Step-by-step explanation:
a drop of 8% means that only 92% of 125 boys remained on honor roll from last year; .92 x 125 = 115
a drop of 5% means that only 95% of 80 girls remained on honor roll from last year; .95 x 80 = 76
total number of students on honor roll last year = 125 + 80 = 205
total number of students on honor roll this year = 115 + 76 = 191
percent of change = (191 - 205) ÷ 205 = -14/205 = -.068
-.068, which represents a 6.8% decrease
