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:
Proportion.
Step-by-step explanation:
Sorry for the late answer! I hope this helps! :)
Answer:
Step-by-step explanation:
x - 3y -15
x = -3
Answer:
The boats are far apart by 4506.1 feet
Step-by-step explanation:
from the graph attached
i) BC = 1353 
= 2761.82 feet
ii) BD = 1353 
= 1744.28 feet
iii) the boats are far apart by = CD = CB + BD = 2761.82 + 1744.28 = 4506.1 feet
The total number of combinations available to just pick 1 t-shirt is 20
<u>Explanation:</u>
Given:
4 different sizes of t-shirts are available
5 different colors of t-shirt are available
Different outcomes if the t-shirts have to be picked one by one:
Different outcomes = 4! + 5!
= 24 + 120
= 144
Number of combinations available to just pick 1 t-shirt is:
Number of combinations = 4 X 5
= 20
Therefore, the total number of combinations available to just pick 1 t-shirt is 20
