Answer: c. 8!
Step-by-step explanation:
We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-
( in words :- n factorial)
Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .
Hence, the correct answer is c. 8! .
Alternatively , we also use multiplicative principle,
If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..
So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!
Hence, the correct answer is c. 8! .
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
Given
Shape: Isosceles Triangle
Required
Find the length of the other two sides
Represent the other sides with x.
Since it is an isosceles triangle, 2 sides are equal.
So, we have:
Collect Like Terms
Divide both sides by 2
<em>The other sides are 10in each</em>
Answer:
Scroll down to see the graph using the link
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/-6x%2B2y%3D-8
Answer:
4x-9
Step-by-step explanation:
6+7x-4-3x-11
Combine like terms: 7x-3x = 4x
:6-4-11 = -9
Combine them together and you get 4x-9
<><><><><><><><><><><><><><>OR<><><><><><><><><><><><><><><><><>
Subtract 4 from 6
7
x
+2-3x-11
Subtract 3x from 7x
4x+2-11
Subtract 11 from 2
4x-9
