<h3>
Answer:</h3>
8/13
<h3>
Step-by-step explanation:</h3>
Given in the question
Ratio of sandwiches white bread to brown bread is 10 : 3
white bread fraction = 10/13
brown bread fraction = 3/13
It is also provided that
2/3 white are vegetarian
1/2 brown are vegetarian
So
for white bread vegetables sandwich we will find 2/3 of 10
20/3/13
for brown bread vegetable sandwich we will find 1/2 of 3
3/2/13
adding both
20/3/13 + 3/2/13
8/13 (approximate)
<em>Answer: h = 120 ft; w = 80 ft </em>
<em></em>
<em>A = 9600 ft^2</em>
<em />
<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>
<em></em>
<em>A = h*w (eq1)</em>
<em></em>
<em>The total amount of fence used is:</em>
<em></em>
<em>L = 2*h + 2*w + w (eq2) (an extra distance w beacuse of the division)</em>
<em></em>
<em>Solving for w:</em>
<em></em>
<em>w = L - 2/3*h = 480 - 2/3*h (eq3) Replacing this into the area eq:</em>
<em></em>
<em></em>
<em></em>
<em>We derive this and equal zero to find its maximum:</em>
<em></em>
<em> Solving for h:</em>
<em></em>
<em>h = 120 ft. Replacing this into eq3:</em>
<em></em>
<em>w = 80ft</em>
<em></em>
<em>Therefore the maximum area is:</em>
<em></em>
<em>A = 9600 ft^2</em>
<em />
Answer: x
=
−
30 7
Decimal Form :
x
=
−
4.
¯¯¯¯¯¯¯¯¯¯¯¯
285714
Mixed Number Form :
x
=
−
4
2
7
Step-by-step explanation:
-3/8x - 11 = 4
-3/8x = 15 Add 11 to both sides
x = -40 Divide both sides by -3/8
Rearranging to standard form
= (x - 7)^2 + (y + 5)^2 = -65 + 49 + 25
(x-7)^2 + (y+5)^2 = 9
so the centre is at (7,-5) and the radius is 3
so the circle will be entirely in Quadrant 4.
