Customers at a gift shop bought 20 birthday cards, 25 Father's Day cards, 45 mothers day cards, and 35 thank you cards. Suppose
1 answer:
Answer:
D.
Step-by-step explanation:
225 greeting cards
25 fathers day cards
How much would be expected to have fathers day cards be bought next year?
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Create a proportion of Fathers Day Cards bought and the amount of greeting cards bought.
You then would cross multiply, since we are finding x, let's isolate it. :
Divide both sides by 100 :
x = 101.25
We can round this to the nearest tenth, since the ones place is 1. It rounds down.
x = 100
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Answer:
Step-by-step explanation:
In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:
a = -32 ft/s/s
v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)
Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)
t = ?? sec.
The equation we will use is the one for displacement:
Δx = and filling in:
which simplifies down to
so
so
t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)
Now we use that time in the x-dimension. Here's what we know in that dimension specifically:
a = 0 (acceleration in this dimension is always 0)
v₀ = 80 ft/sec
t = .968 sec
Δx = ?? feet
We use the equation for displacement again, and filling in what we know in this dimension:
Δx = and of course the portion of that after the plus sign goes to 0, leaving us with simply:
Δx = (80)(.968)
Δx = 77.46 feet