Answer:
27 miles in the morning and 85 miles in the afternoon.
Explanation:
Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression
3m+4
to represent the miles ridden in the afternoon.
Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:
m+3m+4 = 112
Combine like terms:
4m+4 = 112
Subtract 4 from each side:
4m+4-4= 112-4
4m = 108
Divide both sides by 4:
4m/4 = 108/4
m = 27
They rode 27 miles in the morning.
That means in the afternoon, they rode
3m+4 = 3(27)+4 = 81+4 = 85 miles.
There are three options which are the square roots of 100, and those are C. -10, D. 10, and F. |10|
C: (-10)^2 = -10 * -10 = 100 (- * - = +)
D: 10 * 10 = 100
F: |10| = 10, and 10 * 10 = 100 (these brackets make a negative number positive, and a positive number stays positive)
45 is exactly half of 90
that means 45 is 50% of 90.
Answer:
Simplifying the expression: we get
Step-by-step explanation:
We need to simplify the expression:
First we will solve terms inside the bracket
Converting mixed fraction into improper fraction, we get:
Replacing the term:
Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket
Now, combine like terms
Now, multiply all terms with 2
So, Simplifying the expression: we get
Answer:
C, none of them are equivalent
BECAUSE
For A, the -4q should be positive 4q to apply
For B, the 2q when distributing with the parentheses should be negative 2q to work with the expression above
Hope this helps!