Write the inequalities that are given by the :
<span>x: the number of batches of muffins
y: the number of batches of cakes
</span>Each batch of muffin requires 7 liters of milk and each batch of cakes
require 4 liters of milk.
=> liters of milk use = 7x + 4y
<span>Tania
has 56 liters of milk.=> 7x + 4y ≤ 56
Which means that the amount of muffins and cakes made are limited by the availability of 56 liter of milk.
The inequality 7x + 4y ≤ 56 is graphed by drawing the line 7x + 4y = 56 and shading the region below that line.
The line 7x + 4y = 56 has these x and y intercepts:
y-intercept: x =0 => 4y = 56 => y = 56/4 => 14 => point (0,14)
x-intercept => y = 0 => 7x = 56 => x = 56/7= 8 => point (8,0)
So, the line passes through the poins (0,8) and (14,0) and the solution region is below that line.
Also, you know that x and y are restricted to be positive or zero =>
x ≥ 0
y ≥ 0.
So, the solution region is restricted to the first quadrant.
That implies that the answer is:
</span><span>
Line joining ordered pairs 0, 14 and 8, 0. Shade the portion of the graph below this line which lies within the first quadrant
</span>
Answer:
<h2>132.25π m²</h2>
Step-by-step explanation:
The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.
then
by equating the last two expressions we get: 23π = 2πr then r = 23/2
then
the area = π × r² = (23/2)²×π = (132.25)×π
Answer:
3 tiles left
Step-by-step explanation:
You can only use a maximum of 9 tiles to make a perfect square. You would need 7 more tiles to make a larger square. Having used 9 tiles, you will have 3 leftover. (12 - 9 = 3)
Hope I helped!
64^x = 256 * 16^x
2^6x = 2^8 * 2^4x
2^6x = 2^(4x+8)
6x = 4x +8
2x = 8
x = 4
