All categories

2 years ago

27a+1/2b=4 solve for a

Mathematics

2 answers:

sladkih [1.3K]2 years ago

5 0

Answer:

a = 4/27 - b/54

Step-by-step explanation:

27a+1/2b=4

Subtract 1/2 b from each side

27a+1/2b - 1/2 b=4-1/2 b

27a = 4 - 1/2 b

Divide each side by 27

27a/27 = 4/27 - 1/2 b/27

a = 4/27 - b/54

GarryVolchara [31]2 years ago

5 0

Answer: a= - 1/54b+4/27

Step-by-step explanation:
primero multiplique ambos lados de la ecuación por 2
54a+b=8
mueve la variable al lado derecho y cambie su signo
54a=8-b
dividí ambos lados de la ecuación entre 54
a=4/27 - 1/54b
use la propiedad conmutativa para reorganizar los términos
a= 1/54b + 4/27 y listo

You might be interested in

Find the measures of the interior

Ainat [17]

Answer:

Angle 1 = 108°

Angle 2 = 72°

Angle 3 = 120°

Angle 4 = 96°

Angle 5 = 144°

Step-by-step explanation:

We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.

Let x be the common ratio

So, we can write:

Angle 1 = 9x

Angle 2 = 6x

Angle 3 = 10x

Angle 4 = 8x

Angle 5 = 12x

We know that the <em>sum of all angles of pentagon = 540</em>

So, adding all angles and equal them to 540, we can find value of x

$9x+6x+10x+8x+12x=540\\45x=540\\x=\frac{540}{45}\\x=12$

So, we get the value of x: x=12

Now, calculating the angles by putting x=12:

Angle 1 = 9x = 9(12) = 108°

Angle 2 = 6x = 6(12) = 72°

Angle 3 = 10x = 10(12) = 120°

Angle 4 = 8x = 8(12) = 96°

Angle 5 = 12x= 12(12) = 144°

6 0

2 years ago

Write a pair of numbers such that the value of the 7 in the first number is 1,000 times the value of the 7 in the second number,

kirill [66]

437,000
400,307
In the second number, the 7 is moved 3 places to the right, and the 3 is moved 2 places to the right.

(The digit 4 is used here simply to make the numbers be the same overall length. It can be changed to any other digit (except 3 or 7) or removed. Digits that are not 3 or 7 can replace any of the zeros.)

8 0

3 years ago

A light bulb consumes 1440 watt-hours per day. How long does it take to consume 6120 watt-hours?

Alex Ar [27]

Step-by-step explanation:

Divide 24 by 4. So, 18 hours. Therefore a light bulb consumes 6840 Watt hours in 4 days and 18 hours.

7 0

2 years ago

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control a

Dafna11 [192]

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = $\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}$

= ${^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}$ + .......+ ${^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}$

= 0.04541 + ......+0.0000002079

= 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

4 0

2 years ago

Choose all that apply. An individual’s financial irresponsibility may affect _____. them people they know people they don’t know

Anit [1.1K]

Answer:

an individual's financial irresponsibility may affect them

6 0

2 years ago

Read 2 more answers