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ale4655 [162]
3 years ago
12

What is the value of x in the linear equation below? 4+3x-ax=9-7x+bx

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

x = 5/(10 - a - b)

Step-by-step explanation:

Solve for x:

4 + 3 x - a x = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = x (b - 7) + 9

Subtract (b - 7) x + 4 from both sides:

x (10 - a - b) = 5

Divide both sides by 10 - a - b:

Answer:  x = 5/(10 - a - b)

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Car is driving at 30 kilometers per hour. How far in meters does it travel in 3 seconds?
Alenkasestr [34]

Answer:

25 meters

Step-by-step explanation:

30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)

30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second

30 km/hr = 8.3333333333 m/s (approximate)

----------

The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,

distance = rate*time

d = r*t

d = 8.3333333333 * 3

d = 24.9999999999

Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.

4 0
3 years ago
Explain the properties of exponents with examples of your own
11Alexandr11 [23.1K]
This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1.

3 0
3 years ago
A researcher asks participants to taste each of three meals and to choose the one they like best. The same foods are in each mea
Margarita [4]

Answer:

D. All of the above

Step-by-step explanation:

By the given data, some persons were in the experiment and each of them was given with three meals, Low Calorie, Moderate Calorie and High Calorie. They results for the meal they liked is as below:

Low Calorie Meal got likes = 6

Moderate Calorie Meal got likes = 7

High Calorie Meal got likes = 17

so,

Option A is correct as High Calorie meal got 17 likes while Low Calorie meal got 6 likes.

Option B is also correct as Low Calorie meal got 6 likes while Moderate Calorie meal got 7 likes.

Option C is correct too as High Calorie meal got largest number of likes even more than the double of Low calorie and Moderate calorie meal so it was more than expected.

3 0
3 years ago
At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
levacccp [35]

Answer:

  • 2-point shots = 41, 1-point shots = 16

Step-by-step explanation:

Let the number of 1-point shots is x and 2-points shots is y.

The system as per question is

  • x + y = 57
  • 1*x + 2*y = 98

Solve it by elimination, subtract the first equation from the second

  • x + 2y - x - y = 98 - 57
  • y = 41

Find the value of x

  • x + 41 = 57
  • x = 16
4 0
2 years ago
Plot the x- and y-intercepts to graph the equation. y=−x−5
Natasha_Volkova [10]
X-intercept would be (-5,0)

and the y-intercept would be (0,-5)


5 0
4 years ago
Read 2 more answers
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