The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle?

Answers

Answer 1

Answer: The are of a rectangle can be obtained by using the formula

A=L*W

Since we are already given with the L, which is (6x-2), and the width, which is (x-1), the area of the rectangle is then

A = (6x-2)(x-1)

which, upon further simplification will give us

A = 6x^2-2x-6x+2

Combining like terms will yield

A = 6x^2-8x+2

Hence, the area of the specified rectangle is represented by the expression 6x^2 -8x +2.

Answer 2

Answer:

The expression for the area of the rectangle is 6x²-8x+2.

What is area?

This is the region or space bounded by a plane shape.

To calculate the expression for the area of the triangle, we use the formula below

Formula:

A = lw............... Equation 1

Where:

A = Area of the rectangle
l = Length of the rectangle
w = Width of the rectangle.

From the question,

Given:

l = (6x-2)
w = (x-1)

Substitute these values into equation 1

A = (6x-2)(x-1)
A = 6x²-6x-2x+2
A = 6x²-8x+2

Hence, the expression for the area of the rectangle is 6x²-8x+2.

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Help on logarithmic equation

Answers

Answer and workings in the attachment below.

The length of the walk-in closet is 2 more than 5 times its width. If the perimeter of thecloset is 64 feet, what is its width?

Answers

Answer:

the answer is 448

Step-by-step explanation:

A runner has a track lap of one minute while at a run, five minutes while at a jog, 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog and 1/10 at a walk what is the total track lap time of the runner. Write the solution as a mixed number or a fraction in lowest terms

Answers

24 seconds running
2 minutes 30 seconds jogging
42 seconds walking
3 minutes 36 seconds in that lap

Final answer:

The total track lap time of the runner is 2 2/5 minutes or 2.4 minutes.

Explanation:

The total track lap time of the runner can be calculated by summing up the individual time spent at each pace (run, jog, walk). Each pace's time is first multiplied by the fraction of the lap completed at that pace.

For the run, the calculation is 2/5 of 1 minute which is 2/5 minute.

For the jog, the calculation is 1/2 of 5 minutes which is 5/2 = 2 1/2 minutes or 2.5 minutes in decimal form.

For the walk, the calculation is 1/10 of 7 minutes which is 7/10 = 0.7 minutes.

Adding these times together gives a total of (2/5) + (5/2) + (7/10) = 12/5 = 2 2/5 minutes or 2.4 minutes in decimal form.

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4:3 and 25:45 are equal ratios true or false

Answers

False.

The scale factor for 3 and 45 is 15.

45 / 3 = 15.

We know that 25 isn't even a whole number for the scale factor, because no number x 4 can equal 25 (whole numbers only).

25 / 3 = 6.33333

Three times a number s plus 4 times a number y is 1 more than 6 times the number s. solve for s

Answers

Three times a number s => 3s
4 times a number y => 4y
1 more than 6 times the number s => 6s + 1

The full equation would be:

3s + 4y = 6s + 1

Solve for s.
group same letter numbers and change its signs.
3s - 6s = -4y + 1
-3s = -4y + 1
solve for s. divide both sides by -3
-3s / -3 = (-4y + 1) / -3
s = (4y - 1) / 3

"Three times a number S" is 3s.
"Plus 4 times a number y" is + 4y
"is" =
"1 more than" is 1 +
"6 times the number S" is 6s.
The equation is:
3s+4y=1+6s
subtract 3s:
4y = 1 +3s
subtract 1:
4y - 1 = 3s
Divide everything by 3:
4y/3 - 1/3 = s

Christian signed up for a streaming music service that costs $10 per month. The service allows Christian to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Christian have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs? Cost for 10 songs: Cost for ss songs: attempt 1 out of 2 / problem 11 out of max 15 Tomeria Blythe Write Expression from Context (mx+b) Feb 25, 2:16:50 PM Watch help video Christian signed up for a streaming music service that costs $10 per month. The service allows Christian to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Christian have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs?

Answers

Answer:

666

Step-by-step explanation:

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