What’s the answer for 9x = 72

Helpp pls fastttttttttttttttttttt

Aleksandr [31]

Answer:

35 square inches

Step-by-step explanation:

S = ( 1/3 x 15 ) x ( 1/3 x 21 ) = 5x7= 35 square inches.

Hope this helps you.

6 0

10 months ago

Solve for a: b − 2a = c

vlada-n [284]

Answer:

$a=-\frac{c-b}{2}$

Step-by-step explanation:

Solving for the variable $a$ , given that :

$b-2a=c$

We can first start start by subtracting $b$ from both sides of the equation:

$-2a=c-b$

Now, we can divide both sides of the equation by the coefficient of $a$ , which would be $-2$ :

$a=\frac{c}{-2}-\frac{b}{-2}$

Applying the fraction rule $\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}$ :

$a=\frac{c-b}{-2}$

Then, apply the fraction rule $\frac{a}{-b} =-\frac{a}{b}$

$a=-\frac{c-b}{2}$

5 0

2 years ago

30 children are going on a school trip

Kruka [31]

30 × 5 = 150

150 - 110 = 40

40 ÷ 2 = 20

So 20 kids brought their own lunch

Hope this helped. Have a great day!

8 0

3 years ago

A hobby store marks up remote-controlled cars 25%. The original

aksik [14]

Answer: $37.50

Explanation:
1. Turn 25% into a decimal by removing the “%” and placing a “0.” in front of it. (0.25)
2. Multiply the decimal (0.25) by the original price of the car (30). (0.25x30=7.5)
3. Add 7.5 to 30 to get the answer. (7.5+30=37.5=$37.50)

7 0

3 years ago

The amount of protein that an individual must consume is different for every person. There are solid theoretical ideas that sugg

amid [387]

Answer:

The proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is 0.239, that is, 239 persons for every 1000, or simply 23.9% of them.

$\\ 0.239 =\frac{239}{1000}\;or\;23.9\%$

Step-by-step explanation:

From the question, we have the following information:

The distribution for protein requirement is normally distributed.
The population mean for protein requirement for adults is $\\ \mu= 0.65 gP*kg^{-1}*d^{-1}$
The population standard deviation is $\\ \sigma =0.07 gP*kg^{-1}*d^{-1}$

We have here that protein requirements in adults is normally distributed with defined parameters. The question is about the proportion of the population that has a requirement less than $\\ x = 0.60 gP*kg^{-1}*d^{-1}$ .

For answering this, we need to calculate a z-score to obtain the probability of the value x in this distribution using a standard normal table available on the Internet or on any statistics book.

<h3>z-score</h3>

A z-score is expressed as

$\\ z = \frac{x - \mu}{\sigma}$

For the given parameters, we have:

$\\ z = \frac{0.60 - 0.65}{0.07}$

$\\ z = -0.7142857$

<h3>Determining the probability</h3>

With this value for z at hand, we need to consult a standard normal table to determine what the probability of this value is.

The value for z = -0.7142857 is telling us that the requirement for protein is below the population mean (negative sign indicates this). However, most standard normal tables give a probability that a statistic is less than z and for values greater than the mean (in other words, positive values). To overcome this, we need to take the complement of the probability given for z-score z = 0.7142857, that is, subtract from 1 this probability, which is possible because the normal distribution is symmetrical.

Tables have values for z with two decimal places, then, for z = 0.7142857, we need to rewrite it as z = 0.71. For this value, the standard normal table gives a value of P(z<0.71) = 0.76115.

Therefore, the cumulative probability for values less than x = 0.60 which corresponds to a z-score = -0.7142857 is approximately:

$\\ P(x$

$\\ P(x$ (rounding to three decimal places)

That is, the proportion of the population that have a protein requirement less than 0.60 g P • kg-1 • d-1 is

$\\ 0.239 =\frac{239}{1000}\;or\;23.9\%$

See the graph below. The shaded area is the region that represents the proportion asked in the question.

5 0

3 years ago