Answer:
<em>On day the he covers </em>128.4 ft²
<u>Step-by-step explanation</u>:
Lets first figure out how much he has done so far
To figure out how much he does we can use a proportion
Set up a proportion for first day
2/7 = x/299.6
Solve the proportion
2×299.6÷7 = 599.2/7 = x
x = 85.6
<em>He covered 85.6 sq/ft on day 1</em>
Find day two
85.6 * 2 = 171.2
Find how much is left to do on day 3
299.6-171.2 = 128.4 ft²
1.12x=62 , 62/1.12 = x, x = 55.36
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
Answer:
Bridget will get the amount as £26.
Step-by-step explanation:
Given:
Amount Stephen gets = £65
Amount shared in ratio = 5:2
We need to find the amount Bridget gets.
Solution:
Let the common factor in the ratio be 
.
Amount Stephen gets = 
Amount Bridget gets = 
But we know that;
Amount Stephen gets = £65
so we can say that;
Now dividing both side by 5 we get;
So now we get;
Amount Bridget gets = 
Hence Bridget will get the amount as £26.
