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Tatiana [17]
3 years ago
15

a car travels at a speed of 80 km/h for 2½ hours from town P to town Q. Then the car increases its speed by 25% and maintains th

at speed for a further 150 km from town Q to town R. Calculate the average speed for the whole journey.
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

So this is not too hard, as with any math problem we write what we know.

Starting speed: 80km/h
Time from P to Q: 2.5h
Increase in speed: 20km/h (25% is dividing by 4)
Distance from Q to R: 150 kilometers

So let's find the speed and distance for both legs of the trip.

Speed for P to Q: 80km/h
Distance from PtoQ: 200km (2.5h * 80km/h)
Speed from Q to R: 100km/h (80 +20)
Distance from QtoR: 150km.

Now we multiply the speeds by their respective distances add them and then divide by the total distance.

((80 *200) + (100 * 150))/350 = ~88.57143

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Evaluate the function f(x) = â€""2x2 â€"" 3x 5 for the input value â€""3. â’22 â€""4 2 32.
ankoles [38]

The equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

We are to evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

Given the function:

  • f(x) = –2x^2 – 3x + 5

For x = -3, we will have to substitute x = -3 into the expression to have:

f(-3) = –2(-3)^2 – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -18 + 14

f(-3) = -4

Hence the equivalent value of the function f(x) = –2x^2 – 3x + 5 if x = -3 is -4

Learn more on functions here: brainly.com/question/10439235

5 0
3 years ago
X –12 = -8x + 6 a.x = 2 b.x = -2 c.x = 3 d.x = -3
Naddik [55]

Answer:

<u>(a) x = 2</u>

Step-by-step explanation:

x - 12 = -8x + 6

First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)

x - 12 + 8x = 6

x + 8x = 6 + 12

9x = 18

Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)

x = \frac{18}{9}

x = 2

Therefore, your answer is (a), since x = 2.

<em>I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!</em>

4 0
3 years ago
The Porter family used an online family budget estimator to compare the costs of living in Baltimore and San Francisco for a fam
alexandr402 [8]

The cost of living in San Francisco, California is greater than the cost of living in Baltimore.

Given that

The Porter family used an online family budget estimator to compare the costs of living in Baltimore and San Francisco for a family with two parents and two children.

We have to determine

Where is the cost of living higher?

According to the question

Cost of living is the amount of money needed for fixed expenses such as housing, food, taxes, and health care, as well as variable expenses.

Big cities tend to have a higher cost of living than smaller cities.

From a business perspective, we need to consider the cost of living and rent index (considering they will rent in both cities) difference in response to net earnings.

According to recent statistics, the cost of living in Baltimore is about 40 percent lower than in San Francisco.

Also, it should be noted the Porter Family would have to earn quite more than they do in Baltimore before they can maintain the same standard of living.

Supposing Porter's family is earning $50,000 in Baltimore, they would need about $89,000 to maintain the same lifestyle they lived in Baltimore.

Per data in general, we can say that it would cost ~$5000+ to live in California.

These values should be directly related to the indices difference of these underlying factors: consumer prices (CA is 4% lower than MD), consumer prices + rent (CA is 7% higher than MD), rent (CA is 28% higher than MD), restaurant (CA is 3% lower than MD), groceries (CA is 4% lower than MD), and local purchasing power is 10% higher in CA than MD.

Hence, the cost of living in San Francisco, California is greater than the cost of living in Baltimore, Maryland.

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7 0
3 years ago
YALLL PLEASE HELP MEEEEE
Anit [1.1K]

Answer:1

Step-by-step explanation:

1

1

1

1

1

1

1

7 0
3 years ago
Evaluate 8 x 6 + (12- 4) divided by 2
nika2105 [10]
56 divided by 2 is equal to 28.
12 - 4 = 8
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48 + 8 = 56
56/2 = 28
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