Answer:
volume of a cube=5³cm³
=125 cm³
volume of the cuboid=20×10×5
=1000 cm³
number of cubes=1000/125
<em><u> =8 cubes</u></em>
Answer:
170 songs
Step-by-step explanation:
109.65 x 2= 219.30
219.30/1.29=170
Up 4, over 12. 4/12 or 1/3.
Answer:
a) 5<x<25
b) x≤5 or x≥25
c) x≥5 and x≤25
Step-by-step explanation:
Given the expression the
(x - 5) (50 - 2x) to represent sofie profit based on the price per scarf, x.
a) If Sofie's profit is increasing, them the expression for her profit must be greater than zero as shown.
(x - 5) (50 - 2x)> 0
Solving the inequality:
x-5>0 and 50-2x>0
If x-5>0
x > 5 or 5<x... (1)
Similarly when 50-2x>0
50-2x>0
50>2x
Dividing both sides by 2:
50/2>2x/2
25>x or x<25 ...(2)
Combining 1 and 2
5<x<25
b) if Sofie's profit is decreasing, the profit function must be less than or equal to zero as shown;
(x - 5) (50 - 2x)≤0
Solving the inequality
x-5≤0 and 50-2x≤0
x≤5 and 50≤2x
x≤5 or 25≤x
x≤5 or x≥25
c) If Sofia is not making profit then, the function (x - 5) (50 - 2x) is equal to zero i.e
(x - 5) (50 - 2x) = 0
x - 5 = 0 or 50-2x =0
x = 5 and 50 = 2x
x = 5 and x = 25
x≥5 and x≤25
Answer:
Rate = 0.035 per weeks
Step-by-step explanation:
Given that,
An artist has completed 1/14 of a painting in 2 weeks.
We need to find the rate at which she is working. Let the rate is R. It can be calculated by dividing part that is completed and time.
![R=\dfrac{\dfrac{1}{14}}{2}\\\\R=0.035\ \text{per weeks}](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B14%7D%7D%7B2%7D%5C%5C%5C%5CR%3D0.035%5C%20%5Ctext%7Bper%20weeks%7D)
Hence, her rate is 0.035 per weeks.