Answer: the two numbers are 6 and 11.
Set up the individual equation according to the verbal statements:
<em>A positive number is 5 less than another positive number:</em>
a = b - 5 (this also implies that a<b)
<em>Six times the lesser number minus 3 times the greater number is 3. </em>
![6 a -3 b = 3](https://tex.z-dn.net/?f=6%20%20a%20-3%20b%20%3D%203)
<em>Find the two positive numbers.</em>
This is a system of linear equations - solve for a and b:
<em>
</em>
You have 2 triangles and 3 rectangles.
Start with a triangle:
area is base side * height / 2 -> 4 * 3 / 2 = 6
The other triangle has the same area: 6
First rectangle: side * other side -> 7 * 5 = 35
Second rectangle: 7 * 4 = 28
Third rectangle: 7 * 3 = 21
Now simply add all this together: 6+6+35+28+21 = 96
Divide (1/6 cup cheese) into (7/8 cup cheese):
7
--
8 7 6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1 8 1
--
6
She can prepare her recipe 5 times, with some material left over.
Answer:
a=-20
Step-by-step explanation:
-4(7a+5)=-160
7a+(-20)=-160 Multiply -4 and 5
7a=-140 Subtract -20 from -160
a=-20 Divide 7 by -140