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Aleks [24]
2 years ago
6

The least common multiple of 9 and 42 through prime factorization?

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
7 0

Answer:

3

Step-by-step explanation:

9= 3*3

42=3*7*2

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Which expression represents a number that is four times as large as the sum of 8 and 160?
DedPeter [7]
ANSWER: x = 4 ( 8 + 160 )

STEP BY STEP:

Let's start by getting a variable to represent the number. Let's use x. ⇩

x=

Now we know that there is a sum of 8 and 160. Let's add them to each other ⇩

x= 8 + 160

Now we know that this will be multiplied. Let's put parentheses around the addition to symbolize this.

X= (8 + 160)

Finally multiply this by four, making your equation

x= 4 (8 + 160)

I don't know the options but from looking at the problem I'm assuming the answer is
x = 4 ( 8 + 160 )

8 0
3 years ago
How many different 3-digit PIN codes are there that only include the digits 7, 4, 3 and 2?
KengaRu [80]

Answer:

64

Step-by-step explanation:

We can use the product rule of counting to answer this:

There are 4 possibilities for the 1st digit
There are 4 possibilities for the 2nd digit
There are 4 possibilities for the 3rd digit
So we use the product rule of counting to give us:

4×4×4=64

6 0
2 years ago
How to factor 6x^2 + 8x + 7x + 21?
Nitella [24]
(23+15x) when you add this you will have your answer
8 0
3 years ago
A tourist purchases a car in england and ships it home to the united states. the car sticker advertised that the car's fuel cons
Valentin [98]

<u>Solution-</u>

Fuel consumption rate = 40 miles per UK gallon (As the car is manufactured in UK)

1 UK gallon = 4.5459631 lit

1 US gallon = 3.7853060 lit

\therefore \frac{1 \ UK \ gallon}{1 \ US \ gallon} = \frac{4.5459631}{3.7853060} = 1.2009499

\Rightarrow 1 \ UK \ gallon = 1.2009499 \ US \ gallon

As the fuel consumption rate = 40 miles per gallon

⇒ You need 1 UK gallon of fuel to go 40 miles

⇒ You need 1.2009499 US gallon of fuel to go 40 miles

Or you can say that, to go 40 miles you need 1.2009499 US gallon of fuel

⇒ To go 1 mile you will need  \frac{1.2009499}{40} = 0.0300237

⇒ To go 738 miles you will need 0.0300237×738 = 22.1574906 US gallon of fuel

∴ 22.1574906 gallon of fuel is actually required.

∴ But, what she thinks will require is \frac{738}{40} = 18.45 gallons (As she calculated using UK gallons)

6 0
2 years ago
The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round
Andrews [41]

Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

5 0
2 years ago
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