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3 years ago

Solve for v. -9/8 = v - 1/2

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

Answer:

$- \frac{5}{8}$

Step-by-step explanation:

$- \frac{9}{8} = v - \frac{1}{2} \\ \\ \frac{1}{2} - \frac{9}{8} = v \\ \\ \frac{4}{8} - \frac{9}{8} = v \\ \\ \frac{4 - 9}{8} = v \\ \\ v = - \frac{5}{8} \\$

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A bottle full of liquid has a total mass of 1.27kg.

Vinvika [58]

Answer:

Step-by-step explanation:

Let “x” be the weight of the bottle and “y” is weight of honey.

We know the total weight of bottle full of honey is 1000 g.

So Equation 1 is x + y = 1000 g

And with half of the honey, we know the total weight is 600g.

Equation 2: x + (y/2) = 600 g

y/2=600 - x

y= 2 (600 - x)

y= 1200 - 2x

We can replace “y” with 1200 - 2x in Equation 1:

x + 1200 - 2x = 1000

x = 200 g

Weight of the bottle is 200 g.

6 0

3 years ago

What is 7250 equal to in liters

FrozenT [24]

$7250\ mL=7.250\ L$

7 0

3 years ago

There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups

kupik [55]

The number of different groups of cookies he can choose from the 12 cookies is 220

<h3>How to determine the number of different groups of cookies he can choose from the 12 cookies?</h3>

The given parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

The number of different groups of cookies he can choose from the 12 cookies is calculated as:

Numbers = 12C3

The combination formula is represented as:

nCr = n!/(n - r)!r!

Substitute the known values in the above equation

Numbers = 12!/(12 - 3)!3!

Evaluate the difference in the above equation

Numbers = 12!/9!3!

Expand the above equation

Numbers = 12*11*10*9!/9!3!

Evaluate the quotient

Numbers = 12*11*10/3!

Expand the above equation

Numbers = 12*11*10/3*2*1

Evaluate the products

Numbers = 1320/6

Evaluate the quotients

Numbers = 220

Hence, the number of different groups of cookies he can choose from the 12 cookies is 220

So, the complete parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

Number of selection = 220