Answer:
-5n - 4
Step-by-step explanation:
The goal is to simplify this expression.
1. Distribute
-2.5 * 1 = -2.5
-2.5 * 2n = -5n
Now, we have
-2.5 - 5n - 1.5
2. Combine like terms
-2.5 + (-1.5) = -4 (+ * - = - The - cancels out the +)
3. Put it together
-5n - 4
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
Some people use credit to pay for items instead of just using cash so they do not have to carry money around and so it is easier. ... It is preferable to receive a low interest rate so you do not have to pay high amounts. Sometimes, lenders allow or require a down payment before they extend you the loan.
Hello there! :)
Answer:
First choice, (x + 2) and (x - 6).
Step-by-step explanation:
To solve for the dimensions, recall that the formula for the volume of a rectangle is:
A = l × w
Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.
2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:
(x + 2) (x - 6). Thus, the first option is the correct answer.
To start, note that an hour is 60 minutes long. A 1/2 hour, or half hour, is then 60/2=30 minutes. Therefore, when we have 11 hours and 30 minutes, we have 11 and a half hours. Adding 3 and a half to that, we get 11.5+3.5=15 (a half can also be expressed as .5, although it's not typically done that way when expressing time - it just might be easier to visualize it this way). Therefore, we are 15 hours into the day. However, we can't just stop there - we have to account for AM and PM. Therefore, we subtract 12 hours from 15. If the number is positive, we are in PM - otherwise, we're in AM. Therefore, as 15-12=3, the time is in PM. The remaining number is the time, so Bill leaves at 3 PM. If we are left with a decimal (e.g. 3.25), we would keep the 3 and multiply the 0.25 (the decimal) by 60 to figure out how many minutes we have, so 3.25 would turn into 3+0.25*60=3:15.
Feel free to ask further questions!
Answer:
c) 18 cm²
d) 30 cm²
Step-by-step explanation:
c)
You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.
Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.
area of triangle = bh/2
shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2
shaded area = 24 cm² - 6 cm²
shaded area = 18 cm²
Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.
area of trapezoid = (B + b)h/2
shaded area = (6 cm + 3 cm)(4 cm)/2
shaded area = (9 cm)(4 cm)/2
shaded area = 18 cm²
d)
The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.
area of rectangle = length × width
area of triangle = bh/2
shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2
shaded area = 48 cm² - 18 cm²
shaded area = 30 cm²
