Maya is making dream catchers with her family. Each dream catcher takes 1.53 feet of string. She has 6 people in her family. How much string does Maya need total?
1.53*6=9.18
You know where to put the decimal because you count how many places in the decimal is for the two numbers being multiplied (the only decimal in the two numbers being multiplied is in the number 1.53 and that’s is two places in) and then go that many places in on the product (918 two places in from then right would be 9.18)
If you would like to order the following numbers from least to greatest, you can do this using the following steps:
<span>- 40, 1250, - 6.44, 0.2
</span>- 40 < - 6.44 < 0.2 < 1250
The correct result would be <span>- 40 < - 6.44 < 0.2 < 1250.</span>
<span>r²sin²θ = 16rcosθ </span>
<span>rsin²θ = 16cosθ </span>
<span>r = 16cosθ / sin²θ </span>
<span>r = 16cotθcscθ</span>
-2(8p+2)-3(2-7p)-2(4+2p)=0
mutiply the first bracket by -2
(-2)(8p)= -16p
(-2)(+2)= -4
mutiply the second bracket by -3
(-3)(2)= -6
(-3)(-7p)= 21p
mutiply the third bracket by -2
(-2)(4)= -8
(-2)(+2p)= -4p
-16p-4-6+21p-8-4p= 0
-16p+21p-4p-4-6-8= 0 ( combine like terms)
5p-4p-4-6-8= 0
p-4-6-8= 0
p-10-8= 0
p-18= 0
move -18 to the other side to get p by itself
sign changes from -18 to +18
p-18+18= 0+18
p= 0+18
Answer: p= 18
Answer:
20 passengers at $960 each
Step-by-step explanation:
Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht.
(a) Find a function R giving the revenue per day realized from the charter.
R(x) =
(b) What is the revenue per day if 48 people sign up for the cruise?
$
(c) What is the revenue per day if 78 people sign up for the cruise?
$
revenue (R) = (20+x)(960-8x)
= 19200 - 160x + 960x -8 x^2
dR/dx = -160 + 960 - 16x = 0 for a max of R
16x = 800
x = 50
