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3 years ago

1 liter is equivalent to 1,000 milliliters how many litters are in 2,500 milliliters.

1 answer:

3 0

You can create and solve a proportion to get this answer.
Let x be the number of litters in 2500.

1. Write out proportion. 1/1000=x/2500
2. Cross Multiply. 1000x=2500
3. Divide by 1000 on each side. x=25

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I need help ahhh someone please

Xelga [282]

Translate down and reflect over a vertical line! :)

it means bring the cup down and then flip

8 0

4 years ago

Evaluate the expression and write your answer in the form a + bi. 1) (2-6i)+(4+2i)2) (6+5i)(9-2i)3) 2/(3-9i)4) (3 − 5i)(7 − 2i)

laiz [17]

Answer:

Step-by-step explanation:

Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.

1) (2-6i)+(4+2i)

open the parenthesis

= 2-6i+4+2i

collect like terms

= 2+4-6i+2i

= 6-4i

2) (6+5i)(9-2i)

= 6(9)-6(2i)+9(5i)-5i(2i)

= 54-12i+45i-10i²

= 54+33i-10i²

In complex number i² = -1

= 54+33i-10(-1)

= 54+33i+10

= 54+10+33i

= 64+33i

3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i

= 2/3-9i*3+9i/3+9i

=2(3+9i)/(3-9i)(3+9i)

= 6+18i/9-27i+27i-81i²

= 6+18i/9-81(-1)

= 6+18i/9+81

= 6+18i/90

= 6/90 + 18i/90

= 1/15+1/5 i

4) For (3 − 5i)(7 − 2i)

open the parenthesis

= 3(7)-3(2i)-7(5i)-5i(-2i)

= 21-6i-35i+10i²

= 21-6i-35i+10(-1)

= 21-41i-10

= 11-41i

4 0

4 years ago

Please help not sure on this

ahrayia [7]

If I am correct, it would be dropped at -3, side adding to negative numbers make them increase to positive numbers.

4 0

3 years ago

use elimination to solve. For a production of sweeney Todd in Las Vegas, orchestra seats cost $42 and mezzanine seats cost $25.

lidiya [134]

They bought 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Cost of one orchestra seat = $42

Cost of one mezzanine seat = $25

No. of people = 14

Amount spent = $486

Let,

x be the number of orchestra seats

y be the number of mezzanine seats

According to given statement;

x+y=14 Eqn 1

42x+25y=486 Eqn 2

Multiplying Eqn 1 by 25;

$25(x+y=14)\\25x+25y=350\ \ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2 to eliminate y;

$(42x+25y)-(25x+25y)=486-350\\42x+25y-25x-25y=136\\17x=136$

Dividing both sides by 17

$\frac{17x}{17}=\frac{136}{17}\\x=8$

Putting x=8 in Eqn 1

$8+y=14\\y=14-8\\y=6$

They bought 8 orchestra seats and 6 mezzanine seats.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in

vagabundo [1.1K]

Answer:

90% of the variation in the dependent variable is explained by the independent variable.

Step-by-step explanation:

We are given the following in the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

The coefficient of determination is a measure that explains and predicts the dependent variable.
It explains the variation in the dependent variable caused by the independent variable.
The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

$\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%$

Thus, 90% of the variation in the dependent variable is explained by the independent variable.

8 0

3 years ago