What is the simplified form of the following expression
-2(8f-10h)
show your work
To simplify the expression -2(8f - 10h), distribute the -2 to each term inside the parentheses:
-2 * 8f = -16f
-2 * -10h = 20h
Therefore, the simplified form of the expression is -16f + 20h.
What is the simplified form of the following expression
3[42 - 2 - (10^2 - 9^2)]
show your work
To simplify the expression 3[42 - 2 - (10^2 - 9^2)], start by evaluating the exponentials:
10^2 = 10 * 10 = 100
9^2 = 9 * 9 = 81
So the expression becomes 3[42 - 2 - (100 - 81)].
Next, subtract within the parentheses:
100 - 81 = 19
Now the expression becomes 3[42 - 2 - 19].
Next, subtract within the brackets:
42 - 2 - 19 = 23
Finally, multiply the result by 3:
3 * 23 = 69
Therefore, the simplified form of the expression is 69.
What is the simplified form of the following expression (15xy)/(-5x)
To simplify the expression (15xy)/(-5x), we can divide the numerator by the denominator and simplify the terms if possible.
First, let's divide the coefficient 15 by -5: 15 ÷ -5 = -3.
Then, let's divide the x terms: x ÷ x = 1.
Finally, let's divide the y term by 1: y ÷ 1 = y.
Therefore, the simplified form of the expression (15xy)/(-5x) is -3y.
An athlete trains for 115 min each day for as many days as possible. Write an equation that relates the number of days d that the athlete spends training when the athlete trains for 690 min.
To write an equation relating the number of days d that the athlete spends training when the athlete trains for 690 minutes, we can set up a proportion.
Since the athlete trains for 115 minutes each day, the equation can be written as:
115d = 690
In this equation, d represents the number of days the athlete spends training, and 690 represents the total number of minutes the athlete trains.
To solve for d, we divide both sides of the equation by 115:
d = 690/115
Simplifying the division, we get:
d = 6
Therefore, the equation becomes:
The athlete spends 6 days training when they train for a total of 690 minutes.
What is the product of
7.3(-2.5)
The product of 7.3 and -2.5 can be found by multiplying the two numbers together:
7.3 * (-2.5) = -18.25
Therefore, the product of 7.3 and -2.5 is -18.25.
To simplify the expression -2(8f - 10h), we'll distribute the -2 to each term inside the parentheses.
First, distribute -2 to 8f:
-2 * 8f = -16f
Next, distribute -2 to -10h:
-2 * -10h = 20h
Putting it all together, the simplified expression is:
-16f + 20h