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3 years ago

11

rocky reifenstuhl won the 130-mile race on his bicycle. he finished in 11 hours and 45 minutes. What was his average speed in mi

les per hour?

1 answer:

Marat540 [252]3 years ago

8 0

R=D/T

130 = r x 11.75

R=130/11.75=11.06

11.06 MPH

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Mr. X has 12 students in his math class. Last Friday they took a test covering everything that they have learned in math class s

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1/4 of the students have a B, so there are 12 people in the class so what you would do is divide 12 by 4 and get an answer of 3 so 3 people got a B

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

46

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

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4 years ago

Lisa says that 43 is an odd number that is composite . Is she correct? Explain.

Assoli18 [71]

Lisa is incorrect although it is an odd number it is not composite. It only has itself and 1. Therefore its a prime number.

This is the definition for prime if you still dont understand.

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

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Answer:

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Rewrite in logarithmic form 19^2 = 361

Aneli [31]

Answer:

$\log_{19}{361}=2$

Step-by-step explanation:

We know that taking logarithms performs the transformation ...

$b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}$

Then for b=19, e=2, x=361, we have

$\boxed{\log_{19}{361}=2}$

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