9514 1404 393
Answer:
30 small chairs and 24 large chairs
Step-by-step explanation:
Let x and y represent the numbers of small chairs and large chairs built in a day. Then the relations for using available time are ...
20x +50y = 30×60
60x +90y = 66×60
Removing common factors, these can be written in standard form as ...
2x +5y = 180
2x +3y = 132
Subtracting the second equation from the first gives ...
2y = 48
y = 24 . . . . . divide by 2
Using the first equation to find x, we have ...
2x +5(24) = 180
2x = 60 . . . . . . . . . . subtract 120
x = 30 . . . . . . . . divide by 2
The company can build 30 small chairs and 24 large chairs in a day.
From 100 to 80 is 8/10, so the recursive formula is
an=a(n-1)*1/8
or
an= a1*1/8(n-1)
an=a1*(n-1)/8
Answer:
19 ft.
Step-by-step explanation:
Pytahgorean theorm. A^2 + B ^2 = C^2
49 + 100 = 149
Square root the 149, which is ~12
That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.
Answer:
The probability of drawing three red marbles is 1/27, or about 3.71%
Step-by-step explanation:
Add all the marbles:
5 + 4 + 6 = 15
Find favourable outcomes:
5
The probability for drawing a red marble is:
5/15 or 1/3
Multiply this ×3 to find the probability of drawing three red marbles.
1/3 × 1/3 × 1/3 = 1/27
1 ÷ 27 = 0.0370370370 ... repeating
Add like terms
I'm assuming that you forgot to put the parenthasees at the end
so exg
4x+8x=12x
2x^2+3x^2=5x^2
3x^2+3x^3=3x^2+3x^3
group like tems
6x^3+9x-8+5x-9x^2+7
6x^3-9x^2+14x-1
