Which ordered pairs are solutions to the inequality y−4x≥−5

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.

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

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<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

Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles. Round each distance to the neare

Marina CMI [18]

3.45 rounded to the nearest tenth is 3.5.
1.23 rounded to the nearest tenth is 1.2.
0.85 rounded to the nearest tenth is 0.9.
To find how much further Molly walked than her brother and sister combined, you'd have to combine the amount of miles Molly's brother and sister walked:
1.2 + 0.9 = 2.1
Next, you would have to subtract Molly's amount of miles walked with the combination of her brother and sister's miles walked:
3.5 - 2.1 = 1.4
So, Molly walked 1.4 more miles on her hike than her brother and sister had walked combined.

4 0

4 years ago

Consider the diagram.

Radda [10]

The congruence theorem that proves that △LON ≅ △LMN is: A. SSS congruence theorem

<h3>What is the SSS Congruence Theorem?</h3>

According to the SSS congruence theorem, if all three corresponding sides of two triangles are congruent, then both triangles are congruent.

In the image given, we have:

ON ≅ MN
LO ≅ LM
LN ≅ LN (reflexive property)

This means all three corresponding sides are congruent, therefore, the congruence theorem that proves both triangles are congruent is:

A. SSS.

Learn more about the SSS congruence theorem on:

brainly.com/question/2102943

#SPJ1

8 0

2 years ago

What is the x-intercept and the y-intercept of the graph of 6x - 12y = 36? Please explain your answer in full sentences.

Citrus2011 [14]

Answer:

Sentence Fram: I found x-intercept by substitute y by 0 and I found y-intercept by substitute x by 0

x-intercept = (6, 0), y-intercept = (0, -3) ⇒ C

Step-by-step explanation:

To find the x-intercept of a line, equate y in its equation by 0

To find the y-intercept of a line, equate x in its equation by 0

∵ The equation of the graph is 6x - 12y = 36

→ Equate y by 0 to find x

∵ y = 0

∴ 6x - 12(0) = 36

∴ 6x - 0 = 36

∴ 6x = 36

→ Divide both sides by 6 to find x

∴ x = 6

∴ The x-intercept = (6, 0)

→ Equate x by 0 to find y

∵ x = 0

∴ 6(0) - 12y = 36

∴ 0 - 12y = 36

∴ -12y = 36

→ Divide both sides by -12 to find y

∴ y = -3

∴ The y-intercept = (0, -3)

∴ Sentence Fram: I found x-intercept by substitute y by 0 and I found

y-intercept by substitute x by 0

∴ x-intercept = (6, 0), y-intercept = (0, -3)

7 0

3 years ago

Consider that x = −9 and y = −6. Which statement is true about x + y?

IgorLugansk [536]

Answer:

A

Step-by-step explanation:

-9 -6 = -15.

-15 is rational.

4 0

3 years ago

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