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Stolb23 [73]
3 years ago
7

Hurry I need this!!!!

Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer:Yes, It is A.

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Jacob leaves his summer cottage and drives home. After
krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from  home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km =  (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

6 0
3 years ago
Following a recent dramatic drop of 500 points in the Dow Jones Industrial Average, a poll conducted for the Associated Press fo
Strike441 [17]

Using statistical concepts, it is found that the term that best describes the number 92% is:

a. statistic.

  • If the information is taken from a sample, it is called a statistic.
  • If the information is taken from a population, it is called a parameter.

In this problem, 92% of those polled said that a year from now their family financial situation will be as good as it is today or better, that is, 92% of the sample, hence, it is a statistic, and option a is correct.

To learn more about the concepts of statistic and parameter, you can take a look at brainly.com/question/16840464

5 0
2 years ago
Out of seniors at a local high school, 60% went on the senior trip. At the hotel , one room was reserved for every 4 students .
sweet [91]

Answer:

<u>Number of rooms reserved for the students are - 90 .</u>

Step-by-step explanation:

Firstly ,

As we know 60% of the 600 students went on the trip,

Then ,

Number of students went on the trip = 60% of 600

                                                          = \frac{60}{100}\times600

                                                        = 360

Now ,

Given - One room is reserved  for 4 students ,

Therefore , Number of rooms for 360 students = \frac{360}{4}

                                                                             = 90

<u>Hence , the answer is  90 rooms reserved for the students.</u>

7 0
3 years ago
If 1 euro is priced at $1.25 and if 1 euro will also buy 88 Japanese yen (€1 = ¥88), in equilibrium, with no arbitrage opportuni
Alborosie

Answer:

So the exchange rate is that each dollar is worth 70.4 yens.

Step-by-step explanation:

We have that:

1 euro is priced at $1.25

1 euro will also buy 88 Japanese yen

This also means that:

$1.25 is priced at 88 Japanese yen

How much is the cross rate between the yen and the dollar (yen per dollar exchange rate)?

How much yens is 1 dollar?

This can be solved by a simple rule of three.

$1.25 - 88 yen

$1 - x yen

1.25x = 88

x = \frac{88}{1.25}

x = 70.4

So the exchange rate is that each dollar is worth 70.4 yens.

5 0
3 years ago
Margaret and Bethany have a lemonade stand for one week each summer.
Monica [59]

Answer:

6.00

Step-by-step explanation:

5 0
3 years ago
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