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:
38.13 m^2
Step-by-step explanation:
the area of a triangle =b*h/2
b=base
h=height
area triangle=(4m*3m)/2=(12m^2)/2=6m^2
the area of a rectangle =b*h
b=base
h=height
area of a rectangle=6m*3m=18m^2
area of a semi circle=(pi*r^2)/2
r=radius
area of a semi circle==(3.14*(3m)^2)/2=14.13m^2
area of the figure=6m^2+18m^2+14.13m^2=38.13m^2
the answer is 38.13m^2
Answer:
Mia=0.34
Jasmine=0.18
Lia=0.25
Cleo=0.23
Step-by-step explanation:
Mia=28.47/83.90=0.34
Jasmine=14.97/83.90=0.18
Lia=20.99/83.90=0.25
Cleo=19.47/83.90=0.24
hi
each quadrant is 90 ° . If you strart from WEST and go clockwise of 45 ° , you will be right in the middle of West and North,
so North West
Answer:
7 Hours 12 Minutes
Step-by-step explanation:
So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.
