All categories

3 years ago

Which expression is equivalent to the one below?

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

Answer:

D . 9 .1/13

Step-by-step explanation:

$9\div 13 = \frac{9}{13} \\\\9\cdot \frac{1}{13}\\\\=\frac{9}{1}\cdot \frac{1}{13}\\\\=\frac{9\cdot \:1}{1\cdot \:13}\\\\=\frac{9}{13}$

You might be interested in

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

8 0

3 years ago

Of every 300 magic cakes Farah makes, 90 are chocolate, what percentage of chocolate cakes Farah makes?

navik [9.2K]

Answer:

Total magic cakes =300

chocolate cakes =90

so if you want the percentage of chocolate you will divide the number of chocolate cakes over the total number of chocolates

% of chocolate cakes = 90/300×100%

=30%

5 0

3 years ago

For the equation y=5x+4, determine the value of y when x=2

fiasKO [112]

Answer:

y = 14

Step-by-step explanation:

$y = 5x + 4$

When x = 2:

$y = 5 \times 2 + 4$

$y = 14$

That's it. :)

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20-%20y%20%3D%20%5Cfrac%7B2%7D%7B5%7Dx%20-%203" id="TexFormula1" title=" - y = \frac{2}{5}x -

raketka [301]

The first step to solving this equation is to change the signs on both sides of the equation
y = - $\frac{2}{5}$ x + 3
Since we don't know what x is but we do know why y is,, we will write our answer with the answer to y and x being left as undefined.
y = - $\frac{2}{5}$ x + 3, x ∈ R
Let me know if you have any further questions
:)

5 0

3 years ago

What is the solution to y= 4x+8 y=5x+1

DanielleElmas [232]

Answer:

y=9x+9

Step-by-step explanation:

5 0

3 years ago