If X = 23, the. 23 - 6 = 17.
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.
The Commutative property states that order does not matter. Multiplication and addition are commutative.
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Answer:
x = 3 and y = 0
Step-by-step explanation:
4x + 2y = 12
x – y = 3
solving substitution method,
x – y = 3
x = 3 + y
substitute this in the first equation
4(3+y) + 2y = 12
12 + 4y + 2y =12
12 + 6y = 12
6y = 12 - 12
6y = 0
y = 0
x = 3 + y
= 3 + 0
= 0
x = 3 and y = 0
The measure of angle D is 39 degrees.
Since it’s an isosceles triangle, the two unmarked angles are equal. Since you know there are 180° in a triangle, subtract 102° from 180° to get 78°. Then, cut that in half since you need to divide it equally among the two remaining angles.
Answer:
Bagel = $0.80; Muffin = $1.25
Step-by-step explanation:
Since there are two variables (cost of a bagel and cost of a muffin) and two different sets of data, setting up a system of equations and using elimination to solve for one of the variables will give the answer to both variables.
'10 bagels and 4 muffins cost $13': 10b + 4m = 13
'5 bagles and 8 muffins cost $14': 5b + 8m = 14
In order to use eliminate one of the variables when adding the two equations together, we need to multiply the second equation by a factor of '-2':
-2(5b + 8m = 14) or -10b - 16m = -28
+ <u>10b + 4m = 13</u>
-12m = -15
m = $1.25
Solve for 'b': 10b +4(1.25) = 13 or 10b + 5 = 13
10b = 8 or b = $0.80
So, the cost of one bagel = $0.80 and the cost of one muffin = $1.25.