Answer:
102
Step-by-step explanation:
triangle area = 180 degrees
straight line = 180 degrees
180 - 127 = 53
49
49 + 53 + 3rd angle = 180
3rd angle = 78
180-78 = x
x = 102
Answer:
$134.40
Step-by-step explanation:
The markup is 28% of 105, or .28(105) = $29.40
Thus the retail price is $105 + $29.40 = $134.40
Answer:
Answer:
3
×
3
×
4
×
2
=
72
Explanation:
Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:
⎛
⎜
⎜
⎜
⎜
⎝
0
Soup 1
Soup 2
Soup 3
Sandwich 1
1
2
3
Sandwich 2
4
5
6
Sandwich 3
7
8
9
⎞
⎟
⎟
⎟
⎟
⎠
And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.
The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:
3
×
3
×
4
×
2
=
72
⇒ We start by multiplying out the bracket and this property is called
DISTRIBUTIVE property
⇒ from here the next step is simplifying by collecting like terms
⇒ The simplifying process is the application of
COMMUTATIVE property since this property allows us to 'group' the like terms together. In other words, this property allows us to move the
next to the
.
⇒ This what actually happened when we simplify
, we work out the sum of
and the answer is multiplied back to
. This is called the
ASSOCIATIVE property as we 'associating' the constant of the like terms.
⇒ Adding 10 on both sides to eliminate
on the left hand side of equation
Hence, the steps are
STEP 1
STEP 4
STEP 2
STEP 3
STEP 5
Answer:
It costs $0.216 to make smaller can and $0.324 to make larger can
Step-by-step explanation:
Given:
The ratio of the surface areas = 4:9
Area of smaller cans = 36 sq in
Cost = $0.006 per square inch
To Find:
how much does it cost to make each can = ?
Solution:
Lets the area of the larger can be x
the ratio is 4 : 9
then 4x = 9.(36)
4x = 216
x = 54
The area of the larger can is 54 sq in
Now the cost of making the smaller can = 
= $0.216
The cost of making the Larger can = 
=$0.324
