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oksano4ka [1.4K]
3 years ago
8

You are kayaking at a pace of 63 feet every 12 seconds. Your friend's pace is 21 feet every 2 seconds. Are you and your friend k

ayaking at the same pace? If not, who is faster?
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

Your friend is kayaking faster.

Step-by-step explanation:

The way to approach this answer is by putting one of them in terms of the other. So that both are in terms of the same time. If you kayak 63 feet in 12 seconds how many feet do you kayak in 2 seconds? Simply divide by 6. 63/6 = 12/6. So, in 2 seconds (12/2) you kayak 10.5 feet (63/6). But your friend kayaks 21 feet in the same time... so he's going faster.

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A football stadium has 2,500 seats. For the first game of the season, 2,075 seats were filled. Which percent of seats were fille
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Image of question provided
inna [77]

Answer:

To solve this problem, we can use a system of equations.

We know the quadratic expression has the form

f(t)=at^{2}+bt

Using points (1,12) and (4,0), we can form the following system to find a and b.

12=a+b

0=16a+4b

We need to divide the second equation by -4 and sum both equations

12=a+b\\0=-4a-b

12=-3a\\a=\frac{12}{-3}\\ a=-4

Then, we use this value to find the other variable

12=a+b\\12=-4+b\\b=12+4\\b=16

<h3>Therefore, the quadratic function that models the situation is</h3>

f(t)=-4t^{2} +16t  or  f(t)=-4t(t-4)

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7 0
3 years ago
A magician has a collection of 52 cards, with 26 red and 26 black cards. Four of these cards are classified as 'special', and tw
Brums [2.3K]

Answer:

option B (28/52)

Step-by-step explanation:

from probability

P(A∪B)=P(A)+P(B)-P(A∩B)

where

P(A∪B) = probability that event A or B happen

P(A∩B) = probability that event A and B happen simultaneously

P(A) =  probability that event A happen

P(B) =  probability that event B happen

the probability that the card is special or red

P( special or red)= P(special) + P(red) - P( special and red)

since

P(special)= 4/52

P(red) = 26/52

P( special and red) = 2/52

therefore

P( special or red)= 4/52 + 26/52 -  2/52 = 28/52

P( special or red)= 28/52

(option B)

6 0
3 years ago
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