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irga5000 [103]
3 years ago
15

What expression is equivalent to -3+2/3y-4-1/3y

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

The simplified form of the given expression is -7 + (\frac{1}{3})y

Step-by-step explanation:

Here, the given expression is:

-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y

Now to simplify the given expression, perform operations on LIKE TERMS:

We get:

-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y  =( -3  - 4)  + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7  + [(\frac{2}{3}) -(\frac{1}{3})]y  = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =   -7 + (\frac{1}{3})y

Hence the simplified form of the given expression is -7 + (\frac{1}{3})y

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The low temperature for 5 days were negative 5゚ negative 7゚ negative 2゚ degrees and negative 3゚ what was the average low tempera
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2 and square root of 2 + square root of 8 - 4 and square root of 1 over 2
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Answer:

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Step-by-step explanation:

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3 years ago
I need this answered Fast if possible. A car is traveling on a small highway and is either going 55 miles per hour or 35 miles
Alex787 [66]

a. It spends about 2.045 hours going 55 miles per hour

b. It spends 1 hour going 35 miles per hour

c. The trip would take about 3.64 hours

Step-by-step explanation:

A car is traveling on a small highway and is either going 55 miles per hour or 35 miles  per hour, depending on the speed limits, until it reaches its destination 200 miles  away

  • x represents the amount of time in hours that the car is going 55 miles per  hour
  • y represents the amount of time in hours that the car is going 35 miles per hour
  • The equation  that describing the relationship is 55x + 35y = 200

We need to find:

a. How long does it  spend going 55 miles per hour, if the car spends 2.5 hours going 35 miles per hour on the trip

∵ 55x + 35y = 200

∵ The car spends 2.5 hours going 35 miles per hour on the trip

∵ y represents the amount of time that the car going 35 mi./h

∴ y = 2.5

- Substitute the value of y in the equation to find the value of x

∴ 55x + 35(2.5) = 200

∴ 55x + 87.5 = 200

- Subtract 87.5 from both sides

∴ 55x = 112.5

- Divide both sides by 55

∴ x = 2.045 hours

It spends about 2.045 hours going 55 miles per hour

b.how long does it  spend going 35 miles per hour, if the car spends 3 hours going 55 miles per hour on the trip

∵ 55x + 35y = 200

∵ The car spends 3 hours going 55 miles per hour on the trip

∵ x represents the amount of time that the car going 55 mi./h

∴ x = 3

- Substitute the value of y in the equation to find the value of x

∴ 55(3) + 35y = 200

∴ 165 + 35y = 200

- Subtract 165 from both sides

∴ 35y = 35

- Divide both sides by 35

∴ y = 1 hour

It spends 1 hour going 35 miles per hour

c. How long would the trip take, if the car spends no time going 35 miles per hour

∵ 55x + 35y = 200

∵ The car spends no time going 35 miles per hour

∴ y = 0

- Substitute the value of y in the equation to find the value of x

∴ 55x + 35(0) = 200

∴ 55x  = 200

- Divide both sides by 55

∴ x = 3.63 hours

The trip would take about 3.64 hours

Learn more:

You can learn more about the equations in brainly.com/question/4097107

#LearnwithBrainly

5 0
3 years ago
The sum of three consecutive integers is 168. What are the integers
Tema [17]

Answer:

3X + 3 = 168

3X + 3 - 3 = 168 - 3

3X = 165

3X/3 = 165/3

X = 55

Step-by-step explanation:

We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 168. Therefore, you can write the equation as follows: (X) + (X + 1) + (X + 2) = 168

3 0
3 years ago
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