Answer: Each multiple choice question is worth 5 points.
Step-by-step explanation: You can find this answer by using the equation "14m + 24 = 16m + 14" and then solving for "m". To find what "m" is, you must first subtract 14m from both sides, leaving "24 = 2m + 14". Next, you subtract 14 from both sides, leaving "10 = 2m". Finally, you divide both sides by 2, which will give you "m = 5". Thus meaning each multiple choice question is worth 5 points.
To check this, simply fill in for "m" and solve each side. 14 * 5 + 24 = 94 and 16 * 5 + 14 = 94. 94 = 94, so "m = 5" is correct.
I hope this helps!
Answer: subtract 12-4
Step-by-step explanation:
For the range you subtract the smallest number from the biggest number so 12-4.
<h2>
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet</h2>
Step-by-step explanation:
Angle with horizontal = 15°
Velocity of plane = 272 feet per second angle of ascent is 15 degrees
Velocity of plane = 272 cos 15 i + 272 sin 15 j = 262.73 i + 70.40 j ft/s
Vertical velocity = 70.40 ft/s
Vertical displacement = 14000 ft
We have
Vertical displacement = Vertical velocity x Time
14000 = 70.40 x Time
Time = 198.87 seconds = 3.31 minutes
It takes 3.31 minutes the airplane to climb to a height of 14,000 feet
D, one number is positive and the other is negative. The only way it could equal 0 is to cross the other out. An example is, -5+5=0
Answer:
Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.
Step-by-step explanation:
Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.
We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:

We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.
We can represent this information in an expression as:

Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.
To find amount of Brand B mixed nuts, we will substitute
in equation (1) as:



Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.