Solve 2m + 4m - 3m squared

Mathematics

1 answer:

Vitek1552 [10]3 years ago

4 0

Answer:

3m^2

Step-by-step explanation:

i hope this helps!! :)

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A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 64% solution. How many liters of

Alexxandr [17]

Answer:

We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.

We set up 2 equations where "f" is the 40 % and "s" is the 70%

A) f + s = 240

B) .40f + .70s = (.64 * 240) (or 153.6)

To solve both equations we multiply A) by -.40

A) -.40 f - .40 s = -96.00 then we add this to B)

B) .40f + .70s = 153.60

.30s = 57.6

s = 192

f = 48

48 liters of 40% = 19.20 liters of antifreeze

192 liters of 70% = 134.40 liters of antifreeze

That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.

Double Check

153.60 / 240 = 64% antifreeze.

Step-by-step explanation:

6 0

3 years ago

Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?

lutik1710 [3]

If the soda can is a cylinder, which is most likely, than that means we need to find the height of the cone. The formula for volume of a cylinder is V= пr^2h (look at the pic for clearer formula) and we know the diameter of the soda can is 6, we know the radius is 3 because diameter is a line reaching from one point of the circle to the other. Radius is a line reaching from the center of the circle to the outside as shown in the image. We divide pi (you can put in the calculator 3.14) from 21, then we get 6.688 (if we round up) and then you must look at the formula now

it looks like
6.688=r^2h

that means we must find 3^2
that basically means 3x3 which is 9

then you have to divide that from 6.688

then you get 0.743

that is your height.

now we must find the volume of the cone. The formula for that is

V=пr^2(h/3)

now lets plug in our info

V=(3.14)(9)(0.743/3)

you get 6.999