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3 years ago

What is -2/3 divided by 2 1/4=?

Mathematics

2 answers:

NeTakaya3 years ago

4 0

Answer:

-8/27

Step-by-step explanation:

-(2/3) ÷ (2 1/4 ) (convert 2 1/4 into improper fraction)

= -(2/3) ÷ (9/4) (convert ÷ to x by taking the reciprocal of 9/4)

= -(2/3) x (4/9)

= -(2 x 4) / (3 x 9)

= -8/27

Orlov [11]3 years ago

3 0

Answer:

-8/27

Step-by-step explanation:

Convert 2 1/4 into a improper fraction: 9/4

Rewrite the equation: -2/3 divided by 9/4

To divide fraction, multiply by the reciprocal of that fraction

Reciprocal of 9/4: 9/4

Multiply the fractions: -2/3 times 4/9

=-8/27

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Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.

Dmitriy789 [7]

Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

$S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}$
$S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}$
$\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}$
$\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}$
$\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)$
$S=\dfrac12\left(1-\dfrac1{81}\right)$
$S=\dfrac{40}{81}$

8 0

3 years ago

What is the slope of this line ?<br> Answers : 2, 1/2, 4, and -4

xxMikexx [17]

Answer:

Step-by-step explanation:

$slope =\frac{rise}{run}$

$\frac{rise}{run}=\frac{2}{1} =2$

<em>good luck, i hope this helps :)</em>

3 0

3 years ago

Read 2 more answers

Which of these strategies would eliminate a variable in the system of equations? 8x+8y=2 8x+5y=1 Add the equations. (Choice B

harkovskaia [24]

Answer:

B. Subtract the bottom equation from the top equation.

Step-by-step explanation:

When looking at the two equations:

8x + 8y = 2

8x + 5y = 1

We can easily get rid of the x variable by subtracting the two equations from each other since the terms are equivalent. This would allow us to solve for the y value, which we could plug into the an equation to solve for the x value.

7 0

3 years ago

Read 2 more answers

PLEASE ANSWER FAST!<br> Find the surface area of the solid.

Rudiy27

Answer:

270 ft^2

Step-by-step explanation:

find the area of each side

top: 13x7=91

triangle shaped sides(both together): 12x5=60

tiny vertical side: 7x5=35

bottom: 12x7=84

add them all together to get the total surface area is 270ft^2

Hope this helps! :)

6 0

2 years ago

PLEASE HELP ME!!

Ludmilka [50]

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

$P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 = \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t} = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t} = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t} = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\$

The population will reach 1200 after about 2.8 years

6 0

3 years ago