How many distinct prime factors are in the number 120 ?

Answers

Answer 1

Answer:

3.

Step-by-step explanation:

Note the prime factorization of 120,

[tex]120=2^3\times 3\times 5[/tex]

Therefore, there are 3 distinct prime factors, namely 2, 3 and 5.


Related Questions

Jackson went deep sea diving with some
friends. If he descends at a rate of 4 feet per
minute, what integer represents Jackson's
depth in a quarter of an hour?

Answers

Answer:

hello the answer is

Step-by-step explanation:

60 ft, i think because .25 (quarter of said hour) is 15mins, 15*4=60, hope answer is correct

The high temperature one day was -1 °F. The low temperature was -5 °F. What was the difference between the high and low temperatures for the day? and why​

Answers

Answer:

The difference is 4 degrees

Step-by-step explanation:

If its difficult for you to subtract negatives just switch them to a positive 1 and 5 now subtract 1 from 5=4  and because the measure being used is degrees the final answer would be 4 degrees.

Evaluate the expression when x = 47 and y = 3.
x-5v

Answers

Step-by-step explanation:

x - 5y

= 47 - 5(3)

=47 - 15

= 32

Answer:

32

Step-by-step explanation:

x-5y

47-5×3

47-15

32

plz add my answer as brainliest

Y =28547, 11504 is obese, what is the %

Answers

Huh? What does that even mean lol

check if the triangle whose sides are 10m, 6m and 8m is a right triangle

please​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

Yes, the sides will make a right triangle.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

We will check using the Pythagorean Theorem.

⸻⸻⸻⸻

[tex]\boxed{\text{The Pythagorean Theorem}}\\\\a^2+b^2=c^2\\---------------\\\rightarrow 6^2 + 8^2 = 10^2\\\\\rightarrow 36 + 64 = 100\\\\\rightarrow \boxed{100=100}[/tex]

⸻⸻⸻⸻

The given measurements will form a right triangle.  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Solve the following inequality. Use interval notation.​

Answers

Answer:

[tex] |5x + 3| < 23 \\5x + 3 < 23 \\ 5x < 23 - 3 \\ 5x < 20 \\ \frac{5x}{5} < \frac{20}{5} \\ x < 4[/tex]

Answer:

-26/5 < x < 4

Step-by-step explanation:

5x+ 3 = 23

x = 4

5x+3 = -23

5x = -26

x = -26/5

-26/5 < x < 4

Find the slope of each line.
1
2

Answers

Answer: m=-2/1 or m=-2

Step-by-step explanation: The line is going downwards by 2s and towards the right by 1s

the distance between towns is 924 miles. On a map, this represented by a length of 7 inches. On the same map how many inches would there be between two cities 1584 miles apart.

Answers

Answer: 12 inches

Step-by-step explanation:

1: place the units in the ratios (make sure they match, you should label the numbers in your work so you know put the units in right unlike what i did in my work) and cross multiply

2: divide both sides by 924 in. to get x by itself

3. x = 12 in.

what expression is equivalent to (5^4) 2
25^8
5^8
20^2
5^6

Answers

Answer:

5 x 8

Step-by-step explanation:

Answer:

[tex]5^{8}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](5^4)^{2}[/tex] = [tex]5^{4(2)}[/tex] = [tex]5^{8}[/tex]

The speed of light in a vacuum is 2.998×108 m/s .

What is its speed in miles per minute (mi/min)?

Answers

To convert m/s to mi/min we have to find conversion factor first

1 mile = 1609.344 m

1m = 1/1609.344 miles

1 min = 60 s

1s = 1/60 min

Let’s put mi/min instead of m/s according to equations above

m/s = [1/1609.344 miles] / [1/60 min]

The conversion factor is

f = 60 / 1609.344

Now we can convert m/s to mi/min

V (mi/min) = 2.998 ∙ 108 m/s ∙ f = 2.998 ∙ 108 ∙ (60 / 1609.344) = 1.118 ∙ 107 mi/min

Answer: V = 1.118 ∙ 107 mi/min

Hope u have a good day of learning

1 mile = 1609.344 m

1m = 1/1609.344 miles

1 min = 60 s

1s = 1/60 min

Let's put mi/min instead of m/s according to equations above

m/s = [1/1609.344 miles] / [1/60 min]

The conversion factor is

f = 60 / 1609.344

Now we can convert m/s to mi/min

V (mi/min) = 2.998-108 m/s f= 2.998 108 (60/1609.344) = 1.118-107 mi/min

Answer: V = 1.118 - 107 mi/min

9 Write three fractions that are equivalent to
30.2% using denominators of 1,000, 100,
and 10.

Answers

Answer:

[tex]\frac{3.02}{10}, \frac{30.2}{100}, \frac{302}{1000}[/tex]

Step-by-step explanation:

Each of those fractions equal 0.302 which if multiplied by 100 equals the percentage that you're looking for

solve ln(x^2+x)-ln(x^2-x)=-1​

Answers

Step-by-step explanation:

Using the following property of logarithms,

[tex]\ln{\left(\dfrac{a}{b}\right)} = \ln{a} - \ln{b}[/tex]

we can write the given equation as

[tex]\ln{(x^2 + 1)} - \ln{(x^2 - 1)} = \ln{\left(\dfrac{x^2 + 1}{x^2 - 1}\right)}[/tex]

[tex]\:\:\:\:\:\:\:\:\:= \ln{\dfrac{x(x + 1)}{x(x - 1)}} = \ln{\left(\dfrac{x + 1}{x - 1}\right)}[/tex]

But recall that [tex]\ln{e} = 1[/tex] so we can write our original equation as

[tex]\ln{\left(\dfrac{x + 1}{x - 1}\right)} = \ln{e}[/tex]

or simply

[tex]\dfrac{x + 1}{x - 1} = e[/tex]

Multiplying both sides by [tex](x - 1),[/tex] we get

[tex]x + 1 = e(x - 1)[/tex]

Solving for x, we get

[tex]x = \dfrac{e + 1}{e - 1}[/tex]

what is the average of 34 and 91?​

Answers

Answer:

62.5

Step-by-step explanation:

To find average, add up all numbers and divide by how many numbers there are.

34 + 91 = 125

125 / 2 = 62.5

Answer:

62.5

Step-by-step explanation:

Average = (34 + 91)/2 = 125/2 = 62.5

*need this answered ASAP please. Write the solution to the given inequality in interval notation.

Answers

Step-by-step explanation:

this is the right answer..hope it helped you .

...........................

Watch help video
Determine if 0.989889888988889888889... is rational or irrational and give a
reason for your answer.
The number 0.989889888988889888889... is irrational because
Submit Answer
DOLL

Answers

In this example, there is a pattern in your numbers, but it’s not a repeating pattern.

Rational numbers have repeating patterns, like 0.9898989898989898… where it’s just 98 over and over.

Irrational number do not have a repeating pattern.

In your number, there’s one more 8 each time, so 98, then 988, then 9888, then 98888, and so on. So it’s not repeating. Because it’s not repeating, you know it’s irrational.

Fill in the blank with the correct inequality symbol​

Answers

Answer:

>

Step-by-step explanation:

4 is greater than 3

sqrt15 is greater than sqrt6

So 4+sqrt15 must be greater than 3+sqrt6

4 plus the quotient of r and 5
Write an algebraic expression

Answers

Answer:

4 +(r/5)

Step-by-step explanation:

Need help with # 3 and 6!

Answers

Answer: 3 is x=50

Need more info for 6

Step-by-step explanation:

3) 3x+10=4x-40

50=x

6) 5 is 90 degrees, 3+1=90 degrees, and 4+2=90 degrees.

It is not clear what we are supposed to be solving, so I think there is some needed information cropped out of the photo. Hopefully my explanation of what equals what helps you solve it!

Use the points shown on the graph to the right
to determine the slope of the
line.
10
Ø
*
Select the correct choice below and, if
necessary, fill in the answer box to complete
your choice.
2-
O A. The slope of the graph is
(Type an integer or a fraction.)
OB. The slope is undefined
Oh8
= 6
-4
C.
4
6-
-8-
10-

(Answer quickly)

Answers

Answer:

Slope: 3/4

Step-by-step explanation:

The quotient of a number and -7, decreased by 2, is 10

Answers

Answer:

Let the required number be x

The quotient of a number and -7, decreased by 2, is 10

According to the above problem, we get

[tex] \frac{x}{( -7)} - 2 = 10 \\ \frac{x}{( - 7)} = 10 + 2 \\ \frac{x}{( - 7)} = 12 \\ x = ( - 7) \times 12 \\ \boxed{x = - 84}[/tex]

Therefore, the required number is -84.

-84 is the right answer.

Your 5 neighboring restaurants charge $9.95, $12.95, $8.50, $8.95, and $10.50 for a hamburger special. What is the mean price?

Answers

Answer:

$10.17

Step-by-step explanation:

Mean simply is defined as "average", so the average price of a hamburger across five resturaunts is found by adding all of the prices together and then dividing by the number of prices there are.

9.95 + 12.95 + 8.50 + 8.95 + 10.50 = 50.85 dollars, which then you divide by 5, and end up with the solution: $10.17

Answer:

10.17 ……


10.10

Step-by-step explanation:

3-(x-1)=-1-(5-x) pls help

Answers

Answer:

[tex] - 3(x - 1) = - 1(5 - x) \\ \\ 3 - x + 1 = - 5 + x \\ \\ - x - x = - 5 - 3 - 1 \\ \\ - 2x = - 5 - 3 - 1 \\ \\ - 2x = - 9 \\ \\ x = \frac{ - 9}{ - 2} \\ \\ x = 4.5[/tex]

[tex]3 - (x - 1) = - 1 - (5 - x)[/tex]

[tex]3 - x + 1 = - 1 - 5 + x[/tex]

[tex](3 + 1) - x = ( - 1 - 5) + x[/tex]

[tex]4 - x = - 6 + x[/tex]

[tex]4 + 6 = x + x[/tex]

[tex]10 = 2x[/tex]

[tex] \frac{10}{2} = x[/tex]

[tex]5 = x[/tex]

8.64 ÷ 2.25 = ______

Answers

Answer: 3.84

Step-by-step explanation:

cause it is use calculator

Answer:

8.64 ÷ 2.25=3.84

Your answer: 3.84

Step-by-step explanation:

name the property of 5x•(4y+3x)=5x•(3x+4y)

Answers

Associative property of addition

whats the scientific notation of 24,010.​

Answers

Answer:

2.401 x 10[tex]^{4}[/tex]

Step-by-step explanation:

24,010 (twenty-four thousand ten) is an even five-digits composite number following 24009 and preceding 24011. In scientific notation, it is written as 2.401 × 104.

8,595 ÷ 24?
334 R 3
334 R 7
358 R 3
358 R 7

Answers

Answer:

358 R 3

Step-by-step explanation:

how would i do this? it’s algebra 1

Answers

Answer:

So the first step is asking you to write the explanation on your own paper (Easy! :)

The whole equation is designed for you to get the variable "x" by itself so that you know what number it is equal to. In order to do this you need to follow the steps.

So for the second step you need to add 1 to both sides. This step is so that you can get rid of the 1 on the left side, to do this you need to add 1 because this will cancel out on the left side since you are substracting it. BUT if you add one on the left side, you also need to add it to the right side!!! (Whatever you do on one side of the equal sign you need to do on the other side)! So add one on both sides this will get rid of the 1 on the left and turn the 6 to a 7 on the right side.

NEXT STEP (Multiply both sides by -2) So (-1/2) is the same as saying 1 divided by -2 which is -0.5 as a decimal. If you want to cancel out a fraction you want to multiply it by the denominator (aka bottom number), in this case that number is -2. So if you multiply (-1/2) by -2 this cancels that fraction out on the left side and it disappears, BUT you must do it on the right side too! So you multiply 7 by -2 which is equal to -14.

Now you're left with 5x = -6! Your final step is to get rid on the 5 on the left side. To do this you simply divide it by 5 so that it cancels out on the left side and you're left with x. BUT you still divide on the right side, so x is equal to (-6/5).

I hope this helps!

It is all about getting x by itself.

3) Sandy can read 25 words in 5 seconds. At that
rate,
how many words can she read in 6 seconds?

Answers

Answer:

30 words

Step-by-step explanation:

30/5 = 6

One angle of a triangle measures 128º. The other two angles are congruent.
Enter and solve an equation to find the measurex of the congruent angles.
An equation is____
= 180.
The congruent angles each measure_____
o.

Answers

Answer:

26

Step-by-step explanation:

a triangle messures 180

you already have one angleso allyou do is subtract

180-128= 52

the since you are missing two angles all you do is divide that by 2

52/2=26  

Select the choice that translates the following verbal phrase correctly to algebra:

the difference of m and 7 increased by 15

m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15

Answers

The answer is:
(M - 7) +15
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