All categories

2 years ago

81x - 122 = 22 (find x)

Mathematics

2 answers:

Lisa [10]2 years ago

8 0

Answer:

x = 16/9

Step-by-step explanation:

81x - 122 = 22

81x = 144

x = 16/9

hodyreva [135]2 years ago

7 0

Answer:

Step-by-step explanation:

81x-122=22

+122 +122

81x=144

/81 /81

x = 1.7

You might be interested in

A gold coin appreciated in value from $200.00 to $475.00 in 6 years. Find the yearly rate of appreciation. Show or explain all w

Travka [436]

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

$y=a(1+b)^x$

Were

$y$ is the final value after $x$ years

$a$ is the initial value

$b$ is the growth factor (yearly rate of appreciation in our case) in decimal form

$x$ is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so $y=475$ , $a=200$ , and $x=6$ .

Let's replace the values in our equation and solve for $b$ :

$y=a(1+b)^x$

$475=200(1+b)^6$

$\frac{475}{200} =(1+b)^6$

$2.375=(1+b)^6$

$\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}$

$1+b=\sqrt[6]{2.375}$

$b=\sqrt[6]{2.375}-1$

$b=0.155$

which rounds to

$b=0.16$

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

3 0

2 years ago

Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine

stepan [7]

Answer: 40

Step-by-step explanation:

I can see the answer is 40, but let's try to figure out how to do it.

I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.

$\frac{8}{x}=\frac{3}{15}$

''x'' represents the number of passes in 15 games.

Solve for x;

$x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40$

8 0

3 years ago

The linear regression equation is y = 61. 93x - 1. 79. According to the model, the slope can be interpreted as:

devlian [24]

The slope of the linear regression equation y = 61. 93x - 1. 79 is attached with the response.

<h3>What is linear regression?</h3>

Linear regression is the most primary and generally used predictive research. Regression calculations are utilised to represent data and to describe the association.

The slope of the linear regression equation represented in the graph is the straight-line cutting the intercepts on the y axis at 1.79.

To know more about linear regression follow

brainly.com/question/21738659

#SPJ4