QuestionDetermine which option equals $575d - 100$ : (1) $25(22d - 4)$ , (2) $25(23d - 4)$ , (3) $25(23d + 4)$ , (4) $25(25d - 4)$ .

Studdy Solution

STEP 1

Assumptions1. We are given an equation $575d -100$ . We are given four options and need to find which one is equivalent to the given equation

STEP 2

Let's start with the first option $25(22d -4)$ . We will expand it and see if it matches with the given equation.
$25(22d -4) =25 \\times22d -25 \\times4$

STEP 3

Calculate the above expression.
$25 \\times22d -25 \\times =550d -100$ The first option is not equivalent to the given equation.

STEP 4

Now, let's check the second option $25(23d -4)$ . We will expand it and see if it matches with the given equation.
$25(23d -4) =25 \\times23d -25 \\times4$

STEP 5

Calculate the above expression.
$25 \\times23d -25 \\times4 =575d -100$ The second option is equivalent to the given equation.

STEP 6

Since we have found the option which is equivalent to the given equation, we do not need to check the remaining options.
The option equivalent to the equation $575d -100$ is $25(23d -4)$ .

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QuestionDetermine which option equals $575d - 100$ : (1) $25(22d - 4)$ , (2) $25(23d - 4)$ , (3) $25(23d + 4)$ , (4) $25(25d - 4)$ .

Studdy Solution

STEP 1

Assumptions1. We are given an equation $575d -100$ . We are given four options and need to find which one is equivalent to the given equation

STEP 2

Let's start with the first option $25(22d -4)$ . We will expand it and see if it matches with the given equation.
$25(22d -4) =25 \\times22d -25 \\times4$

STEP 3

Calculate the above expression.
$25 \\times22d -25 \\times =550d -100$ The first option is not equivalent to the given equation.

STEP 4

Now, let's check the second option $25(23d -4)$ . We will expand it and see if it matches with the given equation.
$25(23d -4) =25 \\times23d -25 \\times4$

STEP 5

Calculate the above expression.
$25 \\times23d -25 \\times4 =575d -100$ The second option is equivalent to the given equation.

STEP 6

Since we have found the option which is equivalent to the given equation, we do not need to check the remaining options.
The option equivalent to the equation $575d -100$ is $25(23d -4)$ .

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QuestionDetermine which option equals 575d−100575d - 100575d−100: (1) 25(22d−4)25(22d - 4)25(22d−4), (2) 25(23d−4)25(23d - 4)25(23d−4), (3) 25(23d+4)25(23d + 4)25(23d+4), (4) 25(25d−4)25(25d - 4)25(25d−4).

Studdy Solution

STEP 1

Assumptions1. We are given an equation 575d−100575d -100575d−100 . We are given four options and need to find which one is equivalent to the given equation

STEP 2

Let's start with the first option 25(22d−4)25(22d -4)25(22d−4). We will expand it and see if it matches with the given equation.25(22d−4)=25times22d−25times425(22d -4) =25 \\times22d -25 \\times425(22d−4)=25times22d−25times4

STEP 3

Calculate the above expression.25times22d−25times=550d−10025 \\times22d -25 \\times =550d -10025times22d−25times=550d−100The first option is not equivalent to the given equation.

STEP 4

Now, let's check the second option 25(23d−4)25(23d -4)25(23d−4). We will expand it and see if it matches with the given equation.25(23d−4)=25times23d−25times425(23d -4) =25 \\times23d -25 \\times425(23d−4)=25times23d−25times4

STEP 5

Calculate the above expression.25times23d−25times4=575d−10025 \\times23d -25 \\times4 =575d -10025times23d−25times4=575d−100The second option is equivalent to the given equation.

STEP 6

Since we have found the option which is equivalent to the given equation, we do not need to check the remaining options.The option equivalent to the equation 575d−100575d -100575d−100 is 25(23d−4)25(23d -4)25(23d−4).

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QuestionDetermine which option equals $575d - 100$ : (1) $25(22d - 4)$ , (2) $25(23d - 4)$ , (3) $25(23d + 4)$ , (4) $25(25d - 4)$ .

Assumptions1. We are given an equation $575d -100$ . We are given four options and need to find which one is equivalent to the given equation

Let's start with the first option $25(22d -4)$ . We will expand it and see if it matches with the given equation.
$25(22d -4) =25 \\times22d -25 \\times4$

Calculate the above expression.
$25 \\times22d -25 \\times =550d -100$ The first option is not equivalent to the given equation.

Now, let's check the second option $25(23d -4)$ . We will expand it and see if it matches with the given equation.
$25(23d -4) =25 \\times23d -25 \\times4$

Calculate the above expression.
$25 \\times23d -25 \\times4 =575d -100$ The second option is equivalent to the given equation.

Since we have found the option which is equivalent to the given equation, we do not need to check the remaining options.
The option equivalent to the equation $575d -100$ is $25(23d -4)$ .