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A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using substitution.

bixtya [17]

Answer:

option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Given : A math class is having a discussion on how to determine if the expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We have to choose the correct method from the given options that the class has suggested.

Since we have to show the given expressions 4x - x + 5 and 8 - 3x - 3 are equivalent using substitution.

We will choose a single value of x and then evaluate both the given expression at that single value and if the output of both expression comes out to be same then the two expressions must be equivalent.

For example lets take x = 2,

Then expression 4x - x + 5 becomes 4(2) - 2 +5 = 8 - 2 + 5 = 6 + 5 = 11

also, expression 8 - 3x - 3 becomes 8 - 3(2) - 3 = 8- 6 - 3 = 8 - 9 = -1

thus, the value is not equal hence, the two expression are not equivalent.

Thus, option (b) is correct.

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

6 0

3 years ago

Read 2 more answers

One cup equals approximately 236 ml. Approximately how many ml are there in one gallon

GREYUIT [131]

Answer:

<u>Approximately there are 3,785.6 milliliters in one gallon </u>

Step-by-step explanation:

Let's find out how many milliliters are there in one gallon.

1 US Cup = 236.6 ml (actual equivalence)

Let's recall that:

16 US Cups = 1 US Gallon

Therefore,

1 US Gallon = 16 * 236.6 ml

1 US Gallon = 3,785.6 ml

<u>Approximately there are 3,785.6 milliliters in one gallon</u>

5 0

3 years ago

Write an equation for the statement: A kilogram is equal to approximately 2.2 pounds. A cinder block weighs x pounds. A brick ha

navik [9.2K]

the total mass in kilograms y of the cinder block and brick is $y=0.45x + 0.6$ .

<u>Step-by-step explanation:</u>

Here we have , A kilogram is equal to approximately 2.2 pounds. A cinder block weighs x pounds. A brick has a mass of 0.6 kilogram. We need to find What is the total mass in kilograms y of the cinder block and brick . Let's find out :

According to given data in question ,

⇒ $1kg = 2.2pounds$