Associative Property of Multiplication
Because the grouping is the only things that changes
The <em>correct answer</em> is:
6 balloons.
Explanation:
Let x represent the number of balloons purchased.
We will call the function for Clowns R Fun c(x):
c(x) = 1.25x+6
We will call the function for Singing Balloons s(x):
s(x) = 1.95x+2
We want the amount for Clowns R Fun, c(x) to be less:
c(x) < s(x)
1.25x+6 < 1.95x+2
Subtract 1.25x from each side:
1.25x+6-1.25x < 1.95x+2-1.25x
6 < 0.7x+2
Subtract 2 from each side:
6-2 < 0.7x+2-2
4 < 0.7x
Divide each side by 0.7:
4/0.7 < 0.7x/0.7
5.7 < x
x > 5.7
She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.
Answer:
y≤ -1/4 - 7x/8
Step-by-step explanation:
Hello :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a <span>≠ 0) is :
</span><span>Δ = b² -4ac
1 ) </span>Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ <span>< 0 : no reals solutions</span>
Answer:
1.55 feet.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle R = 24°
Hypothenus = RS = 3.8 feet
Opposite = ST = x
The value of x can be obtained by using the sine ratio. This is illustrated below:
Sine R = Opposite / Hypothenus
Sine 24 = x / 3.8
Cross multiply
x = 3.8 × Sine 24
x = 3.8 × 0.4067
x = 1.55 feet
Thus, the Lenght ST is 1.55 feet.
