a. The inequality 15x+300≤750 represents the situation.
b. It means that the band can spend at most $30 on each uniform without exceeding the budget.
Step-by-step explanation:
Given,
Budget = $750
Competition fee = $300
Uniforms to make = 15
Let,
x be the amount for each uniform.
a. Write an inequality to represent this situation.
Uniforms to make * Cost per uniform + Competition ≤ Budget
15x+300 ≤ 750
The inequality 15x+300≤750 represents the situation.
b. Solve the inequality and describe what it means in the situation.
Dividing both sides by 15
It means that the band can spend at most $30 on each uniform without exceeding the budget.
Keywords: inequality, division
Learn more about inequality at:
#LearnwithBrainly
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
Circumference
C = 3.14x3
C = 9.42cm
Area
A = 3.14xr²
A = 3.14x25
A = 78.5ft
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Answer:
The commutive property used twice, once on each of the two multiplication
The commutive property is where you can be able to switch around the numbers to multiply the problem to get your solution.
