Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)
1 answer:
Answer:
x = 6
Step-by-step explanation:
Step 1 - Expand brackets via distributive property:
Step 2 - Combine like terms:
Step 3 - Use the addition property of equality to isolate the 9x:
Step 4 - Use the subtraction property of equality to move the 5x over and isolate the 24:
Step 5 - Use the division property of equality to simplify:
Hope this helps!
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There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.
Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.
We are required to find the number of ways in which the volunteers can be assigned.
Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.
n=n!/r!(n-r)!
Number of ways in which the volunteers can be assigned is equal to the following:
Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.
Number of ways =14
=14!/12!(14-12)!
=14!/12!*2!
=14*13/2*1
=91 ways
Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.
Learn more about combinations at brainly.com/question/11732255
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