What is the LCM for 9 and 12

Mary sells fruit with four of her friends. If the earnings are divided evenly, how

Sphinxa [80]

Answer:

$150

Step-by-step explanation:

Mary+4 friends=5 people

5 people x $30 each person = 150 in total

$150

4 0

3 years ago

Mary bought five pairs of socks that cost $8 each. if the tax rate was 8% how much did mary pay in total?

Zielflug [23.3K]

Answer:

The Answer would be $40.64

Step-by-step explanation:

To find a percentage of a certain number, you must multiply that number by the percentage in decimal form. Since the socks cost 8 dollars each 8 x 0.08 = 0.64 Meaning the tax cost is 64 cents. 8 x 5 = 40 Giving us $40.64

6 0

3 years ago

PLZ HELP ME ☻ <img src="https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bxy%7D%7Bx%20%2B%20y%7D%20%3D%201%2C%20%5Cquad%20%5Cfrac%7Bxz%7D%

Yanka [14]

Answer:

$x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12$

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

$\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}$

Second equation:

$\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}$

Third equation:

$\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}$

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

$1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}$

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

$\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}$

Now we use this value for "x" back in equation 1 to solve for "y":

$1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}$

And finally we solve for the third unknown "z":

$\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12$

8 0

3 years ago

Solve using linear combination.

julia-pushkina [17]

e = -17. 2 x -17 - 3 + 9

-34 - 3 + 9

== -28

hope this helps

4 0

3 years ago

Read 2 more answers

A small glass holds 180 ml. How many glasses can be filled from a 2 litre bottle?

Vedmedyk [2.9K]

If you can assume that the 2l bottle is full, then it holds 2000ml.
2,000 divided by 180 = 11.11.
So the answer is, if you don't spill any, 11 glasses may be filled, with a bit left over.

4 0

4 years ago

Read 2 more answers