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Strike441 [17]
3 years ago
13

2(x + 3) - 4x = 3(2 - x) + 10 Solve for x:

Mathematics
1 answer:
KengaRu [80]3 years ago
6 0

Answer:

Answer is x = 10

Step-by-step explanation:

We have given

2(x+3) - 4x = 3(2 -x) +10

We need to solve above equation for x.

2(x+3) - 4x = 3(2 - x) + 10

2x + 6 -4x = 6 - 3x + 10

Bring all x terms to the left and other terms to the right

We get,

2x - 4x + 3x  = 6 + 10 - 6

5x - 4x = 10

x = 10

Hence we get x =10

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the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
using the giving information to write an equation. let X represent the number described in the exercise.then solve the equation
ANEK [815]
A number is multiplied by 8 and the result is 28.

A number= x.

8(x)= 28

Divide both sides by 8.

28/8= 3.5

x= 3.5 

I hope this helps!
~kaikers
5 0
3 years ago
Cory found a job listed in a classified that pays a yearly salary of $54,013. What is the biweekly
Anon25 [30]

Answer:

2077.42

Step-by-step explanation:

There are 52 weeks in a year, so there are 26 "biweekly" weeks in a year.

Cory receieves $54013 per year, so he gets 54013 / 26 dollars biweekly.

We can compute that number, getting 2077.42 dollars.

5 0
3 years ago
What is the slope-intercept equation for the line below?
Kryger [21]
It would be at 35 when you work all then problems together
8 0
3 years ago
What is the volume?<br> 2 mm<br> 8 mm<br> 4 mm<br> cubic millimeters
shutvik [7]

Answer:

64 mm³

Step-by-step explanation:

I am assuming there was a photo to go with this problem

However the general formula to find volume is usually V = l×w×h

  • It does not matter which measurement is which because they all get multiplied together.
  • However assigning a name to each unit of measurement we will denoted the length (l) as 2 mm, the width (w) as 8 mm, and the height (h) as 4 mm
  • Plugging these values into the formula we get: V = (2)(8)(4) = 64 mm³
6 0
3 years ago
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