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3 years ago

Solve the equation for a k=4a

Mathematics

1 answer:

nata0808 [166]3 years ago

7 0

Answer: a = $\frac{K}{4+9b}$

Step-by-step explanation:

Rewrite the equation as 4a + 9ab=K

Factor out a of 4a + 9b

a (4 + 9b) = K

divide each term by 4 + 9b and simplify

= $\frac{K}{4+9b}$

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Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and

Gre4nikov [31]

Answer:

$Ratio = 0.74$

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

$A = 3.5L$

$C = 2580mL$

Required

Determine the ratio of C to A

Ratio is represented as thus:

$Ratio = C:A$

Rewrite as fraction

$Ratio = \frac{C}{A}$

This gives

$Ratio = \frac{2580mL}{3.5L}$

Convert L to mL

$Ratio = \frac{2580mL}{3.5*1000mL}$

$Ratio = \frac{2580mL}{3500mL}$

$Ratio = \frac{2580}{3500}$

$Ratio = 0.73714285714$

$Ratio = 0.74$ --- Approximated

6 0

3 years ago

PLEASE HELP 25 PTS AND BRAINLIEST!!!

masya89 [10]

A. X=16

Work

2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

----------------

B. 18+5x

Work

17+5x-23+4x6

Multiply the Numbers

17+5x-23+24

Calculate

-------------

C. 2(7x-1)

Work

7x+5x+8+2x-10

Collect the like terms

Calculate

14x-2

Factor the expression

Hope this Helps

✔Dante✔

3 0

4 years ago

What is the decibel level of a dog barking with intensity 10−5 watts per square inch? Use a logarithmic model to solve.

Vsevolod [243]

Answer:

The sound intensity is about 101.9 dB

Step-by-step explanation:

Sound intensity is the amount of sound energy per unit area.

The intensity of the dog bark is 10⁻⁵ W/in². The intensity of sound in decibels is given by:

$\beta=10\ dB*log(\frac{I}{I_o} )\\\\Where\ I=Sound\ intensity\ in \ W/m^2, I_o=reference\ sound\ intensity=10^{-12}\ W/m^2\, \beta= sound\ intensity\ in\ dB$

I = 10⁻⁵ W/in² = 0.0155 W/m²

Therefore:

$\beta=10\ dB*log(\frac{I}{I_o} )\\\\\beta=10\ dB*log(\frac{0.0155}{10^{-12}} )\\\\\beta=101.9\ dB$

The sound intensity is about 101.9 dB

5 0

3 years ago

The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?

kupik [55]

Answer:

Step-by-step explanation:

7 0

3 years ago

A t-shirt company sells shirts in 4 different sizes (Small, Medium , Large and XtraLarge) that are

Wewaii [24]

The total number of combinations available to just pick 1 t-shirt is 20

<u>Explanation:</u>

Given:

4 different sizes of t-shirts are available

5 different colors of t-shirt are available

Different outcomes if the t-shirts have to be picked one by one:

Different outcomes = 4! + 5!

= 24 + 120

= 144

Number of combinations available to just pick 1 t-shirt is:

Number of combinations = 4 X 5

= 20

Therefore, the total number of combinations available to just pick 1 t-shirt is 20

5 0

3 years ago