Step-by-step explanation:
By Exterior Angle Theorem,
(x + 40)° + (4x - 5)° = (6x + 20)°
Therefore 5x + 35 = 6x + 20 and x = 15.
Hence angle QPT = (6 * 15 + 20)° = 110°.
ANSWER
EXPLANATION
We want to simplify:

Recall the distributive property;
(a+b)(c+d)=a(c+d)+b(c+d)
We apply this property to get,

We expand to get,

This simplifies to,

The simplest form of the given expression is:

Answer: 1144
Step-by-step explanation:
Given: Machine A makes 7 parts every 10 minutes.
i.e. it makes
parts in 1 minute.
Machine B makes 16 parts every 15 minutes.
i.e. it makes
parts in 1 minute.
On Monday,
machine A makes parts for 12 hours(720 minutes). [1 hour = 60 minutes, 12 hours = 12 x 6 = 720 minutes]
i.e. Total parts made = 
i.e. Total parts made = 504
machine B makes parts for 10 hours(=60x 10=600 minutes)
i.e. Total parts made = 
i.e. Total parts made = 640
Total parts made by both machines = 504+640 =1144
Hence, the total number of parts made by the two machines on Monday=1144.
Answer:
$6.96 more was the book than the lunch
Step-by-step explanation:
do cost of the book subtract the cost of the lunch forget the decimals and just subtract like normally. then at the end bring down the decimals, hope this helps
Answer: 3x -2
Because i know as soon as the line goes through the y-axis that number is your y-intersect and for the slope from the first point to the second point you go up 3 and over 1 and 3/1 is equal to 3 which gives your answer y=3x-2