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Galina-37 [17]
3 years ago
13

An algebraic expression for the perimeter of a rectangle with a length of 4x and a width of 3x

Mathematics
1 answer:
Korolek [52]3 years ago
4 0
So the first step would be to take the formula for perimeter:
P = 2l + 2w

Then multiply 2 times each term:
So you have 2(4x)= 8x
Then 2(3x)= 6x

Answer: the algebraic expression for the perimeter of the rectangle is 8x+6x
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There are 200 ounces in 6 liters. How many milliliter (ml) are in 6 liters? (How to do in dimensional analysis?)
Dima020 [189]

9514 1404 393

Answer:

  6000 mL

Step-by-step explanation:

The prefix "milli-" is an SI standard prefix meaning 1/1000. So, 1 mL = (1/1000)L.

When doing dimension changes, you always want to use scale factors that have a value of 1, which is to say the numerator is equal to the denominator. For converting liters to milliliters, the scale factor you want will have mL in the numerator and L in the denominator:

  (1 mL)/(1/1000 L)   or   (1000 mL)/(1 L)

To do your conversion, multiply your liter volume by this factor.

  (6\text{ L})\times\dfrac{1000\text{ mL}}{1\text{ L}}=\dfrac{6\times1000\text{ mL$\cdot$L}}{1\text{ L}}=6000\text{ mL}

6 liters is 6000 milliliters.

__

You will notice that the dimensions "L" cancel, which is the point of the exercise.

_____

<em>Additional comment</em>

6 L is closer to 202.884 fluid ounces. The conversion factor is ...

  \dfrac{128\text{ fl oz}}{231\text{ in}^3}\times\dfrac{1\text{ in}^3}{(0.254\text{ dm})^3}\times\dfrac{1\text{ dm}^3}{1\text{ L}}=\dfrac{128\text{ fl oz}}{3.785411784\text{ L}}\quad\text{exactly}

3 0
4 years ago
Starting at an initial position of 100 meters, a person jogs at 5 meters per second for 1 minute forward and then walks backward
il63 [147K]

Answer:

100 + (5 * 60) = 400

400 - (2*120) = 160

end position = 160

Step-by-step explanation:

6 0
3 years ago
Find the slope (m) and the y intercept please show work
gregori [183]

Answer:

m=2/5

b=3.8

Step-by-step explanation:

To find slope you need to use slope formula which is (y2-y1)/(x2-x1) so you need two points from the table and plug them into this. I'll use the first two points (-2, 3) and (-1, 5)

(5-3)/(3--2)

2/5

our slope is 2/5(m)

now to find the y int(b)

we have out slope intercept formula which is y=mx+b

plug in our slope

y=2/5x+b

now take a random point from our tabell and apply it to our equation I'll use (-2, 3) again.

3=2/5(-2)+b

3=-4/5+b

3=-0.8+b

add 0.8 to each side

3.8=b

b=3.8

4 0
3 years ago
[Help Asap, Will Mark Brainliest] The measure of angle STV is 150 degrees. The measure of angle WTV is 35 degrees. The measure o
Oliga [24]

Answer: x=115

Step-by-step explanation:

150 is the total.

150=35+x

150-35=115

4 0
3 years ago
What is the greatest common factor that 2 numbers between 40 and 50 can have ??
ivann1987 [24]
The answer for it has to be 5 because 5*8=40 and 5*10=50 so its 5

8 0
4 years ago
Read 2 more answers
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