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3 years ago

If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1?

Mathematics

1 answer:

harina [27]3 years ago

3 0

Answer:

d. 15

Step-by-step explanation:

List the exponents of each of the prime factors. Here, they are 3, 1, 1.

Add 1 to each of these values and form the product of these sums:

(4)(2)(2) = 16

This is the number of divisors of the number. Since 1 is included in this count, 15 of the divisors are greater than 1.

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A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o

frutty [35]

Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0

3 years ago

GEOMETRY HELP PLZ

tangare [24]

Answer:

0.324

0.068

Step-by-step explanation:

If Russell is 5'9" ; then he is under 6 feets :

Probability = number of forwards under 6 feets / tot number of players

Probability = 120 / 370 = 0.324

Peter is 6'2" ; Peter is over 6 feets ;

Probability that Peter is a guard = (number of guards over 6 feets / total number of players) = 25 / 370 = 0.0676 = 0.068

8 0

2 years ago

Celia is 2 times Jacque’s age now. Celia was 6 times Jacque’s age 9 years ago. What system of equations can be solved to find th

ExtremeBDS [4]

The answer is 78 I know this as I am smart

5 0

2 years ago

What is the multiplicative inverse of the number 7?

vagabundo [1.1K]

Answer:

1/7

Step-by-step explanation:

Another word for multiplicative inverse is reciprocal

It is the number that when multiplied by the original number gives you one

7 * x = 1

Divide by 7

7x/7 = 1/7

x = 1/7

The multiplicative inverse of 7 is 1/7

3 0

2 years ago

Read 2 more answers

X subtract 9 equals 3 / 5X

Korvikt [17]

Answer:

$x=22\frac{1}{2}=22.5$

Step-by-step explanation:

$x-9=\frac{3}{5}x$

First, lets get rid of the fraction. I did this by multiplying both sides by $5$ .

$5(x-9)=5(\frac{3}{5}x)\\5x-45=\frac{5}{1} *\frac{3}{5}x\\5x-45=\frac{15}{5}x\\5x-45=3x$

We want to isolate $x$ on one side of this equation. Let's put any values with $x$ on one side of the equation, and normal integers on the other.

$2x=45$

Divide both sides by $2$ .

$x=\frac{45}{2}$

If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:

$x=22\frac{1}{2}=22.5$

7 0

3 years ago