A three-digit number has two properties. The tens-digit and the ones-digit add up to 5. If the number is written with the digits in the reverse order, and then subtracted from the original number, the result is 792. Use a system of equations to nd all of the three-digit numbers with these properties

Answers

Answer 1

Answer:

Answer:

The three-digit numbers with these properties are 850 or 941.

Step-by-step explanation:

Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that $y+z=5$ . The second condition is:

the original number is $(100x+10y+z)$ while the reversed number is $(100z+10y+x)$ so

$(100x+10y+z)-(100z+10y+x)=792\n99x-99z=792$

Now we have the system

$y+z=5\n 99x-99z=792$

You can divide by 99 to simplify the second equation.

$y+z=5\n x-z=8$

Note that x, y, z must be digits between 0 and 9 and $x\neq 0$ . If $z>1$ , then the second equation forces $x>9$ , for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.

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What is the answer of a multiplication problem called What is the answer of a division problem called

Answers

Answer:

In multiplication the answer is called PRODUCT and in division the answer is called quotient.

Step-by-step explanation:

I hope that helps and you get a good grade :)

The answer to a multiplication problem is called a Product. The answer to a division problem is called the quotient.

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket? 35 dollars (0.08) 35 dollars (8) 35 dollars (0.08) + 35 dollars 35 dollars (8) + 35 dollars

Answers

Answer:

35 dollars (0.08)

Step-by-step explanation:

35 + 8%, taxes are most likely in cents

Answer:

35 dollars (0.08)

Step-by-step explanation:

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?

A.35 dollars (0.08)

B.35 dollars (8)

C.35 dollars (0.08) + 35 dollars

D.35 dollars (8) + 35 dollars

because i just took the test and i got 94.3 and this question is right.

Hopefully this helps.

Suppose that weekly income of migrant workers doing agricultural labor in Florida has a distribution with a mean of $520 and a standard deviation of $90. A researcher randomly selected a sample of 100 migrant workers. What is the probability that sample mean is less than $500

Answers

Answer:

$z = (500-520)/((90)/(√(100)))= -2.22$

And we can find this probability using the normal standard distribution and we got:

$P(z<-2.22) =0.0132$

Step-by-step explanation:

For this case we have the foolowing parameters given:

$\mu = 520$ represent the mean

$\sigma =90$ represent the standard deviation

$n = 100$ the sample size selected

And for this case since the sample size is large enough (n>30) we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu , (\sigma)/(√(n)))$