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3 years ago

If one gallon equals 3.78 liters how many liters are in 3 gallons?

Mathematics

2 answers:

natulia [17]3 years ago

7 0

11.34 is the answer. 3.78 liters * 3 gallons = 11.34 liters.

rodikova [14]3 years ago

3 0

1 Gallon = 3.78 liters

3 Gallons = ?

You need to notice that the gallon changed by a rule of x3 (times three). So multiply the liters by 3 to get your answer

3.78 x 3 = 11.34

11.34 liters is your answer

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What is the value of the 4 in 4,279

Anna35 [415]

Answer:

The value of the 4 in 4,279 is 4,000.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.

katrin2010 [14]

Answer with step by step explanation

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

Let us find now.

x + 3y = -4

3y = -4 - x

3y = -x - 4

Divide the whole equation by 3.

y = -x/3 - 4/3

Therefore, the equation of the line is:

y = -x/3 - 4/3

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

Let us find now.

y = m x + c

y = -x/3 - 4/3

Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.

Therefore,

slope ⇒ -1/3

y - intercept ⇒ -4/3

4 0

2 years ago

Simplify the radical: <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5x%5E4%7D%20" id="TexFormula1" title=" \sqrt{5x^4} " alt

ziro4ka [17]

Split up the top and bottom into factors and cancel out any common factors.

While we do these problems, it is important to remember this rule:

$\sqrt{ab} = \sqrt{a} \sqrt{b}$

First, we will split up the top.

$\sqrt{5x^4} = \sqrt{5} \sqrt{x^4}$

We can't do anything with the square root of 5 because it is in it's simplest form. But, we can still split up the square root of $x^2$

$\sqrt{5} \sqrt{x^4} = \sqrt{5} \sqrt{x^2} \sqrt{x^2}$

Now we can simplify.

$\sqrt{5} \sqrt{x^2} \sqrt{x^2} = \sqrt{5} x * x$

$\sqrt{5} x * x = \sqrt{5}x^2$

The top is done, now for the bottom one.

$\sqrt{10x} = \sqrt{10} \sqrt{x}$

We can't simplify either the square root of 10 or the square root of x.
So, the top is done, too.

Find any common factors and cancel them out.

$\frac{\sqrt{5}x^2}{\sqrt{10} \sqrt{x}}$

Well, I can't find any common factors to cancel out, but, we can still simplify it further.

There is another law regarding radical expressions:

$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$

Using this, simplify the expression further.

$\frac{\sqrt{5}x^2}{\sqrt{10} \sqrt{x}} = \sqrt{\frac{5}{10}} \frac{x^2}{\sqrt{x}}$

$\sqrt{\frac{5}{10}} \frac{x^2}{\sqrt{x}} = \sqrt{\frac{1}{2}} \frac{x^2}{\sqrt{x}}$

So, now it is in it's simplest form.

5 0

3 years ago

For which values of x is the inequality 3(1 + x) > x + 17 true?

Snezhnost [94]

a. 3(1 + 2) = 9; 2 + 17 = 19

9 > 19 is false so A is wrong, regardless if 3 works.

b. 3(1 + 4) = 15; 4 + 17 = 21

15 > 21 is false so we know B is wrong, regardless if 5 works.

c. 3(1 + 6) = 21; 6 + 17 = 23

21 > 23 doesn't work either.

d. 3(1 + 8) = 27; 8 + 17 = 25

27 > 25 is true. So let's test out 9.

3(1 + 9) = 30, 9 + 17 = 26

30 > 26 is also true so D is correct.

Distribute: 5x-15-6x+12 > 8x +2

Simplify: -x-3 > 8x + 2

Make one side 0: 9x + 5 < 0

From there you know your answer cannot be positive or it will be above zero so A, B, and C are wrong because they all allow positive numbers at some point. So D is correct. (again)

I'm not entirely sure about this one so this is my thought.

Distribute: 2 -6x - 3 < 12x -24x

Simplify: -6x -1 < -12x

Set one side to 0: 6x - 1 < 0

From there, you know the answer isn't A, B, or C because plugging in 1/6 doesn't work. So I will say that D is right as every number less than -1/6 will work.

Fahrenheit Question:

You can say that A is wrong because the equal to means that the person may be at normal temperature and not hyperthermia. That also makes B wrong as well because it too uses the equal to. C uses the less than sign (in comparison to 98.6) meaning that it looks for Celsius temperatures below the normal F temp which isn't hyperthermia. D does use the greater sign signaling that it is a temperature above the normal 98.6 So I say the answer is (again and a little fearfully) D.

Last Question:

You know their is no solution because both variables are equal but the constants are different. since -5r is equal to -5r they will ultimately cancel each other out and you'll be left with 6 is less than or equal to -10 which can never be true if the variables are the same. That means the answer is (I say very fearfully now) D.

7 0

4 years ago

juanita works at a telemarketing company she makes an average of 12 sales per hour employees are encouraged to make more than 48

Vadim26 [7]

Answer:

26hr

Step-by-step explanation:

12 calls/hr

480 calls/wk

If Juanita has made 168 calls this week, it meants she still has to make 312 calls. So, 312 calls ÷ 12calls/hr = 26hr

Juanita needs to work 26hr mores to reach the weekly goal.

6 0

3 years ago