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Hitman42 [59]
3 years ago
11

What is the remainder when the product of the 5 smallest prime numbers is divided by 42?

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

0

Step-by-step explanation:

The five smallest prime numbers are 2, 3, 5, 7 and 11.

2 × 3 × 5 × 7 × 11

= 2310

Divide by 42.

2310/42

= 55, Remainder 0

You might be interested in
If you multiply a number by 3 and divide by 4 the result is 24. what is the number?
solong [7]
To solve this problem, we are going to set up an equation.  Let the number that we are trying to find be represented by the variable x.  If we plug in the numbers that we know, we get the following equation:

3x/4 = 24

To simplify this equation, we need to multiply both sides by 4, to begin getting the x alone on the left side of the equation.

3x = 96

Finally, we need to divide both sides by 3, to get rid of the coefficient that is being multiplied to x.

x = 32

Therefore, the number that you are trying to find is 32.
4 0
3 years ago
Read 2 more answers
To reach a vacation spot, the Jones family first traveled by plane and then drove the
navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the  distance by plane.

y = x - 125    => x=y+125  Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500   Eqn 2

Putting value of x from Eqn 1;

(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625

Putting y=625 in Eqn 1

x=625+125\\x=750

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

3 0
3 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 20 N acts on
jeka94

The acceleration of the object will be 10 m/s²

Step-by-step explanation:

Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

  • If y varies directly with x, then y ∝ x
  • y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

7 0
3 years ago
A circle has a radius of 5. Express in term of pi the circumference of the circle
Natalka [10]
Circumference of a circle = 2pir
2pi(5) = 10pi 
3 0
3 years ago
Can somebody please help me. I would really appreciate it
laila [671]
90=6x+3x
90=9x
90/9=x
10=x

3x=3*10=30
6x=6*10=60
hope this helped
4 0
3 years ago
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