Answer:
The answer is 10m + 7n - 14
Step-by-step explanation:
Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
[Q - R] + [S - T] is
[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]
Solve the terms in the bracket first
That's
( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)
( 9m + 3n - 11 ) + ( m + 4n - 3)
<u>Remove the brackets</u>
That's
9m + 3n - 11 + m + 4n - 3
<u>Group like terms</u>
9m + m + 3n + 4n - 11 - 3
The final answer is
<h3>
10m + 7n - 14</h3>
Hope this helps you
Answer:
The GCF (12, 78) is 6 and GCF (18, 176) is 2.
Step-by-step explanation:
Step 1:
The greatest common factor of the number is defined as the factor of two or more numbers. The acronym of Greatest common factor is GCF.
(a)
GCF (12, 78)
The greatest common factor of the two numbers 12 and 78 is calculated by Euclid’s algorithm as follows:
Therefore, the greatest common factor GCF is 6.
Step 2:
(b)
GCF (18, 176)
The greatest common factor of the two numbers 18 and 176 is calculated by Euclid’s algorithm as follows:
Therefore, the greatest common factor GCF is 2.
Greetings!
Let l represent the
length of the rectangle.
Let w represent the
width of the rectangle.
Isolate for the l in Equation #2.
Substitute
Equation #2 into Equation #1.
Combine Like Terms.
Distribute the Parenthesis.
How? <span>Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.
</span>
Add 2 to both sides.
Divide both sides by
8.
The Answer Is:
The Width is
6 units and the Length is
17 units.
Hope this helps.
-Benjamin
You need to solve the following set equations:
x+y=43
32x+28y=1288
Where x is the number of adults and y is the number of childs
the solution is
x=21
y=22
Answer: C) 297 in2
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a square pyramid (S) = 2 (length of the base) slant + length of the base ^2
S = 2bs + b^2
Replacing with the values given:
S = 2 (9) 12 + 9^2
S = 216 +81 = 297 square inches
Feel free to ask for more if needed or if you did not understand something.