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3 years ago

a scientist has 2/3 liter of solution. He uses 1/2 of the solution. how much solution is used for the experiment ?

1 answer:

6 0

Given:
2/3 liter of solution.
1/2 of the solution is used.

Find how much the solution is used for the experiment.

We simply multiply the 2 fractions.

2/3 liters * 1/2 = 2*1 / 3* 2 = 2/6
2/6 is simplified to 1/3

1/3 liter of solution was used in the experiment.

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One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

DerKrebs [107]

Data:

Humans (x) = 2 Legs
Horses (y) = 4 Legs

74 Heads
196 Legs

Solving:

Addition method

$\left \{ {{x + y =74} \atop {2x + 4y =196}} \right.$

Simplify by (-4) The first equation

$\left \{ {{x + y =74(-4)} \atop {2x + 4y =196}} \right.$
$\left \{ {{-4x - \diagup\!\!\!\!\!4y =-296} \atop {2x + \diagup\!\!\!\!\!4y =196}} \right.$
$\left \{ {{-4x =-296} \atop {2y =196}} \right.$
$-2x = -100.simplify(-1)$
$2x = 100$
$x = \frac{100}{2}$
$\boxed{x = 50}$

Now, to find the number of horses, I will use the following equation and I will replace the found value, we will have:

$x + y = 74$
$50+y = 74$

Number with incognito are to the left of the equality and numbers without incognito are to the right, remembering that when changing of side changes the signal.

$y = 74-50$
$\boxed{y = 24}$

Answer:
Humans = 50
Horses = 24

7 0

3 years ago

Yasmine made waffles for her family.4/7 of the waffles where blueberry 1/7 of the waffles where chocolate chip . The rest of the

Alexxx [7]

Answer:

2/7 of the waffles did not have blueberries or chocolate chips.

Step-by-step explanation:

So first, it says 4/7 were blueberry, and 1/7 were chocolate chip. When you add them two you get 5/7. The denominator is 7, so subtract 7 from 5 and you get 2, 2/7. 2/7 of the waffles did not have blueberries or chocolate chips.

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3 years ago

What is the formula for the following arithmetic sequence? 12, 6, 0, -6, ...

Lady_Fox [76]

Answer:

12+35x3.14

Step-by-step explanation:

7 0

3 years ago

These cones are similar. Find the volume of the smaller cone. Round to the nearest tenth. 2 cm 5 cm Volume=[?]cm^ 3 Volume me =

Neko [114]

Answer:

8.4 cm^3 to the nearest tenth.

Step-by-step explanation:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

So:

5^3 / 2^3 = 131 / v

v = 2^3 * 131 / 5^3

= 8 * 131 / 125

= 8.384.

6 0

3 years ago

5. Complete the table of values for y = -2x + 11. Please help ❤️

lisabon 2012 [21]

Answer:

In the explanation

Step-by-step explanation:

x = 0, y = -2*0+11=11

x = 1, y = -2*1+11=9

x = 4, y = -2*4+11=3

Hope this helps!

6 0

3 years ago