Answer:
a) C = 250 + 1.25n
b) 1800
c) 300
Step-by-step explanation:
a) To write the equation for these problems, let's establish the constant, $250, since we are given that $250 is a FIXED cost, meaning no matter how many brochures we print, we will have to pay $250. Then, we have to pay $1.25 for each brochure, so for n amount of brochures, so we have 1.25*n. Putting it together, we have the fixed cost + the cost of producing n brochures, C = 250 + 1.25C
b) The cost of printing 2500 brochures can be found by pluggin number into the equation above. C = 250 + 1.25*2500 = $1800
c) This is the opposite question, since 625 is the final cost, we plug it into the final cost, 625 = 250 + 1.25*n. Solving gives n = 300
In this question weight of a flea and an ant is given, but their units are different. So comparing and finding out the weight of flea and ant would be difficult. First thing that needs to be done is to bring the units of both the flea and the ant under same unit.
Weight of flea = 8 decigrams
Weight of ant = 3 milligrams.
Now let us convert the weight of the flea from decigrams to milligrams.
We already know that
1 decigram = 100 milligram
Then
8 decigrams = 100 * 8 milligrams
= 800 milligrams
Then
The weight by which the flea is greater than the ant = (800 - 3) milligrams
= 797 milligrams.
So the flea weighs 797 milligrams more than the ant.
Answer:
Step-by-step explanation:
Answer:
The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.
Thus, the ladder will not be safe for its height and therefore won't make sense.
