Convert 76,000 ml into L. Please show your work.

Mathematics

2 answers:

tester [92]3 years ago

8 0

1000 ml = 1 L

76000 ml
76*1000 ml
76 L

Ksivusya [100]3 years ago

3 0

It will be 76 litres, because I use a cheat. KHDUDCM. So since you are using mililitres you are going to look at the M. Then the number you gave me and move the decimal point to the U, so over 3 spaces which would convert 76,000 ml to 76L.

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The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?

Ne4ueva [31]

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

$\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}$

Cross products,

$5x = 120$

Inverse operations,

$x = 24$

4 0

3 years ago

4x + 3y - z = -6<br> 6x - y + 3z = 12<br> 8x + 2y + 4z = 6

Ket [755]

Answer:

(x, y, z) = (1, -3, 1)

Step-by-step explanation:

Any number of calculators and/or web sites can be used to solve this system of equations. It can be helpful to familiarize yourself with your graphing calculator's capabilities in this area. The solution from one such site is shown below:

(x, y, z) = (1, -3, 1)

Both y and z show up in these equations with coefficients that have a magnitude of 1. This means you can easily use one of those equations to create a substitution for y or for z.

Using the first equation to write an expression for z, we have ...

z = 4x +3y +6

Substituting that into the second and third equations gives ...

6x -y +3(4x +3y +6) = 12 ⇒ 18x +8y = -6

8x +2y +4(4x +3y +6) = 6 ⇒ 24x +14y = -18

Now, we can subtract 4 times the first equation from 3 times the second to eliminate x:

3(24x +14y) -4(18x +8y) = 3(-18) -4(-6)

10y = -30

y = -3

Substituting into the first equation (of the equations in x and y), we have ...

18x +8(-3) = -6

18x = 18

x = 1

Finally, substituting into the equation for z gives ...

z = 4(1) +3(-3) +6 = 1

The solution is (x, y, z) = (1, -3, 1).

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The equations can also be solved using Cramer's rule, elimination, matrix methods, and other means. When solving by hand, the method of choice will often depend on what you're familiar with and what the coefficients are.