Answer:
-15
Step-by-step explanation:
-3+8-5. 5x3=15 and because it is -p it would be -15.
So, in 240 miles can be made by 2 hours.
Do this equation:
240 × 2 = 480 / 4 hours.
You cannot do 3 because it won't fit another 240 miles.
Next, subtract the 480 miles from 600 miles.
600 - 480 = 120
Also, if you would've divided by 2 hours.
240 ÷ 2 = 120 / 1 hour
Add the hours.
4 + 1 = 5 hours
It takes 5 hours to travel 600 miles by the small plane.
Given:
m/n-3(m+n)
m=-10 and n=-2
Solving:
-10/-2-3(-10-2) Since m=-10 and n=-2, we substitute them in for the values since they have an equal relationship.
Now, follow Orders of Operations: PEMDAS
-10/-2-3(-12) Simplify parentheses (P)
There are no Exponents (E)
Multiplication (M) and Division (D) are =, so we do whatever operation comes from the left to right.
-10/-2=5 Division comes first on the left.
therefore:
5-3(-12)
-3(12)=-36, Multiplication is last on the right.
therefore:
5-36
5-36=-31 After M/D, we do Addition and Subtraction, which are also =, so we do them left to right.
Therefore -10/-2-3(-10-2)=-31
Answer: BC is 9 units long
==============================================================
Work Shown:
Let x be the length of segment BC.
BC is parallel to DE, so this means that triangle ABC is similar to triangle ADE.
Side AB pairs with side AD (both are horizontal sides of triangle ABC and triangle ADE respectively)
Side BC pairs with side DE (both are vertical sides of triangle ABC and triangle ADE respectively)
Because of those facts above, we can end up with this proportion
AB/AD = BC/DE
-------------------
Let's plug in the given values and isolate x
AB/AD = BC/DE
12/20 = x/15
12*15 = 20*x ... cross multiply
180 = 20x
20x = 180
20x/20 = 180/20 ... divide both sides by 20
x = 9
Segment BC is 9 units long.
note: There is no need to calculate the length of segment AE. Though you are correct in stating that AE = 25.
Answer:
$480
Step-by-step explanation:
Perry makes 15% commission for each TV he sells.
How much would he have to sell a TV to get $72
First of all, let's call the unknown variable x
So 15% of x= $72
Mathematically, this would be represented as 15/100 * x= 72
15/100x= 72
Breaking down further,
15/100 can be broken down to 3/20
3/20x= 72
So to find the value of x, we divide both sides by 3/20
x= 72 ÷ 3/20
x= 72 * 20/3 (using the law of indices)
x= 1440/3
x= $480 dollars.
So, Perry would have to sell a TV for $480 to make a $72 commission.