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3 years ago

Simplify. 2(y+5) - 6y

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

-4y+10

Step-by-step explanation:

To simplify 2(y+5) - 6y

First, distribute:

2y+10-6y

Combine like terms:

-4y+10

Hope this helps!

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13. How many drinks are in a 2 oz martini made with 100 proof alcohol

pentagon [3]

Answer:

4 drinks.

Step-by-step explanation:

-One drink is defined as having one-half ounce of pure ethyl alcohol; each of the following is considered "one drink." *1 oz of 100 proof distilled spirits at 50% alcohol.

$Drinks=\frac{2oz}{0.5oz}\\\\=4$

Hence, 2 oz martine has 4 drinks

7 0

3 years ago

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the rig

iogann1982 [59]

Answer:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

Step-by-step explanation:

Let's assume that the figure attached illustrate the situation.

For this case the we know that the original area given by:

$A_i = 7 in *5 in = 35in^2$

And we know that the initial area is a half of the entire area in red $A_i = \frac{A_f}{2}$ , so then:

$A_f = 2 A_ i =2*35 = 70$

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

$70 = (x+7) (x+5)$

We multiply both terms using algebra and the distributive property and we got:

$70 =x^2 +12 x +5$

And we can rewrite the expression like this:

$x^2 +12 x -35 = 0$

And we can solve this using the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where $a = 1, b =12 and c=-35$ if we replace we got:

$x = \frac{-12 \pm \sqrt{(12)^2 -4(1)(-35)}}{2*1}$

And the two possible solutions are then:

$x_1 =-14.43 in, x_2 = 2.426in$

Since the measurement can't be negative the correct answer for this case would be $x =2.426 in$

3 0

4 years ago

A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con

Mashutka [201]

The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
$\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V$
To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
$16 \frac{2}{3}=3.2h \\ 16 \frac{2}{3}=3 \frac {2}{10}h$
We would now divide both sides by 3 2/10:
$\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}$
This is the same as:
$\frac{\frac{50}{3}}{\frac{32}{10}}=h \\ \\ \frac{50}{3}* \frac{10}{32}=h \\ \\ \frac{500}{96}$
So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.

8 0

3 years ago

to clean the fish tank 3/4 cups of disinfectant is needed for every two gallons of water how many cups of disinfectant are neede

choli [55]

Answer:

7 1/2 cups

Step-by-step explanation:

20 gallons is ten times 2 gallons.

Ten times the amount of water will require ten times the disinfectant (we assume).

... 10 × 3/4 cup = 30/4 cups = 7 1/2 cups

8 0

3 years ago

What is the area of a triangle with base 18 meters and height<br>6 meters?

mash [69]

Answer:

27 meters

Step-by-step explanation:

a=1/2bh

a=1/2(18)(6)

a=27

6 0

4 years ago