Answer:
30
Step-by-step explanation:
Work backwards:
- 6 is 3/5 of a number, and that number is 10
- 10 is 1/3 of a number, and that number is 30
Check your work:
- 2/3 of 30=20 toy to Sarah
- 30-20=10 toys left
- 2/5 of 10=4 toys to Ryan
- 10-4=6 toys left
Answer:
5, 7, 11, 19, 35
Step-by-step explanation:
Using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7
a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11
a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19
a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35
Thus the first 5 terms are
5, 7, 11, 19, 35
Answer:
93.75 feet and 187.5 feet
Step-by-step explanation:
Let the width of the rectangular area be x feet and the length be y feet. A farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle. So, there will be 4 widths and 2 lengths, thus
Find the area:
Find the derivative:
Equate it to 0:
$310 dollars because after it res and decreased it gained $.10 and 100 x 3 is 300 so thats before you calculate how much it rose so .10 x 100 is 10 so add that to 300 and you get 310
3x + y = 18
2x - y = 12
we must make both equations have only one variable
we first add the equations top to bottom, and get
5x = 30
we then divide by 5, and get x = 6
now we sub 6 in for x, and solve for y
3x + y = 18 y = 18 - 3x
y = 18 -18
y = 0
the first number is 6, the second number is 0