Answer: One possible way: 123 - 45 - 67 + 89
Step-by-step explanation: The goal is to get 100, using all of the following numbers: (1,2,3,4,5,6,7,8,9)
We can merge numbers to get 100.
123 - 45 - 67 + 89 (We used every number once)
Lets solve from left to right.
123 - 45 = 78. 78 - 67 = 11. 11 + 89 = 100.
Answer:
12/5 = 2.4 pounds of oranges per person
Step-by-step explanation:
Answer:
27/2
Step-by-step explanation:
Given
Vertices (0, 0), (3, 0), and (0, 3)
Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.
So, the length of each side of the triangle is (3-x)
Calculating the area;
Area = ½bh
Where b = base = 3 - x
height is calculated as;
h² = (3-x)² + (½(3-x))² --- from Pythagoras
h² = 9 - 6x + x² + (3/2 - ½x)²
Let h² = 0
0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)
0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²
0 = 45/4 - 30x/4 + 5x²/4
0. = 5x²/4 - 30x/4 + 45/4
0 = 5x² - 15x/4 - 15x/4 + 45/4
0 = 5x(x/4-¾) - 15(x/4 - ¾)
0 = (5x - 15)(x/4 - ¾)
5x = 15 or x/4 = 3/4
x = 3 or x = 3
So, h = 3
Area = ½bh
Area = ½ * (3-x) * 3
Area = ½(9-3x)
Volume= Integral of ½(9-3x) {3,0}
V = 9/2 - 3x/2 {3,0}
V = 9x/2 - 3x²/4 {3,0}
V = 9(3)/2 - 3(3)²/4
V = 27/2 - 27/4
V = 27/2
Answer:
2nd option, 44 cm
Step-by-step explanation:
QT = 2×SU = 2×22 = 44 cm
Since it's the midsegment, US is the half of QT
Answer:
She will pay less at store B
Step-by-step explanation:
30% off of $612 is $428.4
25% off of $612 is $459
Remember she has a coupon for 10% off
10% off of 459 is $413.1
She would save $198.9