4(8 - x) = 8, 32 - 4x = 8, -4x = -24, So x = 6
The real answer is going to be 23.5
Here, I'll have a try:
This expression is the multiplication of a binomial and a trinomial.. The binomial has two terms, while the trinomial has three terms. Use the distributive property of multiplication,
Step 1, multiply every term of the trinomial with the first term of the binomial, then multiple every term of the trinomial with the second term of the binomial. Use parenthesis to separate each multiplication to avoid confusion.
step 3, simply every multiplication
step 4, add up like trms
Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is
... s + (s+1) + (s+1) = 3s+2
The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so
... 3s+2 = 4s-8
... 10 = s . . . . . . . . add 8-3s to both sides
The length of the shorter side of the triange is 10 units.
Answer:
D. 54,900
Step-by-step explanation:
We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.
To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.
First of all, we will find z-score corresponding to probability 
using normal distribution table.
From normal distribution table, we get z-score corresponding is 
.
Now, we will use z-score formula to find sample score as:
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation
Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.
