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kap26 [50]
3 years ago
5

A Ferrari is heading south at a constant speed on Broadway (a north/south street) at the same time a Mercedes is heading west on

Aloha Avenue (an east/west street). The Ferrari is 624 feet north of the intersection of Broadway and Aloha, at the same time that the Mercedes is 400 feet east of the intersection. Assume the Mercedes is traveling at the constant speed of 32 miles/hour.
Find the speed of the Ferrari so that a collision occurs in the intersection of Broadway and Aloha.
Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

49.92 miles/hour

Step-by-step explanation:

32 miles/hour = 32 * 5280 = 168960 ft/hour

For the collision to occur, both cars must arrive at the intersection at the same time.

The time it takes for the Mercedes to travel 400 feet at the rate of 168960 ft/hour is 400 / 168960 = 0.002367 hours

So the Ferrari should take the same time to travel 624 feet as well, its speed would be

624 / 0.002367 = 263577.6 ft/hour or 263577.6 / 5280 = 49.92 miles/hour  

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Suppose that we were going to conduct a study to determine if there is an decrease in risk of getting lung cancer based on wheth
nalin [4]

Answer: Option C

Step-by-step explanation:

In group(1), the risk is= 5/2000 x 100

                          = 0.25

In group(2), the risk is= 5/1000 x 100

                         = 0.5

The sample relative risk is= 0.25/0.5

                                          = 0.5

So, option C is correct.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B5%7D%2B%5Cfrac%7B3x%7D%7B15%7D%3D%5Cfrac%7B2x%7D%7B3%7D%20%7D%20" id="TexF
Bezzdna [24]
Multiply all terms by 15
3x+3x= 10x+30

Combine like terms
6x=10x+30

Subtract 10x from both sides
-4x=30

Divide both sides by -4
x= -7.5

Final answer: -7.5
4 0
3 years ago
Wilson is 6 years older than Mary. Wilson's age is 10 years less than five times Mary's age. The equations below model the relat
Neko [114]

Answer:

Wilson is 6 older than mary

w=6+m

wilson is 10 less than 5 times mary

w=-10+5m

w=5m-10

so now we set them eqal to each other since both equal w

m+6=w=5m-10

m+6=5m-10

minus m both sides

6=4m-10

add 10 to both sides

16=4m

divide both sides by 4

4=m

sub back

w=m+6

w=4+6

w=10

wilson=10

mary=4

the correct method is math

3 0
3 years ago
What is the answer to -5+(-5r)+10
Law Incorporation [45]

Answer:

=−5r+5

Step-by-step explanation:

Let's simplify step-by-step.

−5−5r+10

=−5+−5r+10

Combine Like Terms:

=−5+−5r+10

=(−5r)+(−5+10)

=−5r+5

4 0
3 years ago
Read 2 more answers
Which statement about y = x2 + 3x - 18 is true?
Anestetic [448]

Answer:

C

Step-by-step explanation:

first of all, the correct factorization is

y = (x - 3)(x + 6)

because when we do the multiplication

y = x² + 6x - 3x - 18 = x² + 3x - 18

and then, the factorization tends us also directly the zero points, because y is only 0, when one of the factors is 0.

so, either x-3 or x+6 has to be 0 to make the whole expression 0.

and that is only for x=3 or x=-6

4 0
2 years ago
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