First, "boxes of two sizes" means we can assign variables: Let x = number of large boxes y = number of small boxes "There are 115 boxes in all" means x + y = 115 [eq1] Now, the pounds for each kind of box is: (pounds per box)*(number of boxes) So, pounds for large boxes + pounds for small boxes = 4125 pounds "the truck is carrying a total of 4125 pounds in boxes" (50)*(x) + (25)*(y) = 4125 [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x: x = 115 - y [from eq1] 50(115-y) + 25y = 4125 [from eq2] 5750 - 50y + 25y = 4125 [distribute] 5750 - 25y = 4125 -25y = -1625 y = 65 [divide both sides by (-25)] There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x: x = 115 - y x = 115 - 65 x = 50 There are 50 large boxes.
Answer: answer A
Step-by-step explanation: y = mx + b
Answer:
1a: f(-2) means substituting -2 for x
1b: 65
I don't know the second one
Answer:
8
Step-by-step explanation:
Recall these two equations for circumference and diameter.
Circumference = 2*pi*radius
Diameter = radius*2
25.12 = 2*pi*radius
Radius = 4
Diameter = 4*2 => 8
Thus the diameter is 8
The equation would use to determine how long he drove each way is 2x - 8 = 60.
<h3>What is the equation?</h3>
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.
Since the return trip took 8 minutes less, the complete equation must be written in minutes.
Here x - 8 represents the time it took to return to Philips Arena.
The total travel time, including both directions, was 60 minutes;
thus, add x and x - 8 and set them both equal to 60.
So 2x - 8 = 60
Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.
Learn more about the equation here:
brainly.com/question/10413253
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