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Naya [18.7K]
2 years ago
15

Mr. Brackett works in factory with his two sons. He is really happy with his job because he gets to spend some time with his bel

oved sons not only at home but also at work! He is allowed to take a break every 140 minutes while his two sons are allowed to take breaks in 210 minutes and 280 minutes. How many minutes will they have to wait after their first break together to get together again?
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
3 0

Answer:

840 minutes

Step-by-step explanation:

We solve this question using the LCM Method

Find and list multiples of each number of minutes which is given in the quest as 140, 210 and 280 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 140:

140, 280, 420, 560, 700, 840, 980, 1120

Multiples of 210:

210, 420, 630, 840, 1050, 1260

Multiples of 280:

280, 560, 840, 1120, 1400

Therefore,

LCM(140, 210, 280) = 840

Therefore, they would have to wait after their first break together to get together again after 840 minutes

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What is the answer for. What is hg = 45g
goldenfox [79]
To solve hg = 45g

Apply Multiplication Property of Equality which is to multiply both sides of the equation with 1/g.
  
  hg (1/g) = 45g (1/g)
               h = 45

Or you can divide both sides with the equation with g.
      
   hg / g = 45g / g

You can cancel g to both sides.
Then, 
               h = 45

4 0
3 years ago
Is 301 in the sequence below?<br> -9, -5,-1,3,7,...
dusya [7]

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

a_{n} = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

3 0
2 years ago
How do I solve this?
ladessa [460]
It would be 
y=(-16*-1)
which would then be 
y=16
so the answer would be
(-16,16)
you replace the x in the equation with the x you are given
3 0
3 years ago
Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 5.
Alex787 [66]

Answer:

$27,72

Step-by-step explanation:

The information that we have its

  • The cost gas its ​$3.60 per gallon
  • Irene​'s car had 5.3 gallons
  • Irene's car tank is 13 gallons

so now for the know, How much did Irene spend on gas?

First

The gas that its necesary for filled de tank its

13gallons-5,3gallons=7,7 gallons

The cost for 7,7 its

7,7g*3,6$/g= $27,72

7 0
3 years ago
Find the value of x
Veronika [31]

Answer:

x =147

Step-by-step explanation:

The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)

42+(-124+x) =360-(2x+1)

Combine like terms

x-82 =359-2x

Add 2x to each side

x-82+2x = 359

3x -82 = 359

Add 82 to each side

3x-82+82 = 359+82

3x = 441

Divide by 3

3x/3=441/3

x =441/3  or 147

4 0
3 years ago
Read 2 more answers
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