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mart [117]
3 years ago
12

1.5.4 test A P E X algebra 2

Mathematics
1 answer:
____ [38]3 years ago
3 0

sorry to my answer ineed a point and i ask a question sory and thnks:(

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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove
gogolik [260]

Velocity, distance and time:

This question is solved using the following formula:

v = \frac{d}{t}

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time t_1, distance of d_1, v = 40. So

v = \frac{d}{t}

40 = \frac{d_1}{t_1}

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is v = 60.

On the first day, he drove 2 more hours, which means that for the second day, the time is: t_1 - 2

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: d_1 - 20

Thus

v = \frac{d}{t}

60 = \frac{d_1 - 20}{t_1 - 2}

System of equations:

Now, from the two equations, a system of equations can be built. So

40 = \frac{d_1}{t_1}

60 = \frac{d_1 - 20}{t_1 - 2}

Find the total distance traveled in the two days:

We solve the system of equation for d_1, which gets the distance on the first day. The distance on the second day is d_2 = d_1 - 20, and the total distance is:

T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20

From the first equation:

d_1 = 40t_1

t_1 = \frac{d_1}{40}

Replacing in the second equation:

60 = \frac{d_1 - 20}{t_1 - 2}

d_1 - 20 = 60t_1 - 120

d_1 - 20 = 60\frac{d_1}{40} - 120

d_1 = \frac{3d_1}{2} - 100

d_1 - \frac{3d_1}{2} = -100

-\frac{d_1}{2} = -100

\frac{d_1}{2} = 100

d_1 = 200

Thus, the total distance is:

T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: brainly.com/question/14307500

3 0
3 years ago
Which of the following is true about the expression 3 Squared times 12 squared
ololo11 [35]

Answer:

?

Step-by-step explanation:

the expression would look like this:  3^2 x 12^2

3 squared is 9 (3 x 3)

12 squared is 144 (12 x 12)

3 0
3 years ago
After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road.The group decides to divi
ANTONII [103]

Answer:

it is  .25                                                                                                                                             :)

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3 0
3 years ago
What is 93+(68+7) property
allochka39001 [22]
The associative property states a + (b + c) = (a + b) + c

So your answer is associative property.

4 0
3 years ago
complete the bar model.then solve .Abby has 16 grapes.jason has 9 grapes. how many more grapes dose Abby have than Jason
Alisiya [41]
Abby has seven more grapes than Jason
5 0
3 years ago
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