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Kay [80]
3 years ago
11

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

quations to find the numbers
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

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3 years ago
9+(6w+3w) how do I do this it is to hardThe expression (9+6w)+3w
Mama L [17]

Answer: 9w+9

Step-by-step explanation:

First combine like terms: 6w+3w

You can't combine 9 and 9w so that would be your answer.

Then if it calls for it, use the commutitive property to move 9w before 9.

Hope this helps!

6 0
3 years ago
It takes Janelle four hours to drive to New York. If New York is 240 miles from Boston, what is Janelle’s speed per hour?
Lemur [1.5K]

Answer:

60 mph

Step-by-step explanation:

mph=miles/hours

240/4=60

60 miles per hour

3 0
3 years ago
If the speed of a car is 20 m s^-1 then what is its speed in km h^-1 ?<br>#no spam​
ivanzaharov [21]
  • Speed in m/s=20m/s

We have to convert it to km/h

\\ \sf\longmapsto 20\times \dfrac{3600}{1000}

\\ \sf\longmapsto 20\times \dfrac{18}{5}

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8 0
2 years ago
Read 2 more answers
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Ganezh [65]

Answer:

9/2 or 4 1/2

Step-by-step explanation:

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  • 3/4 × 6 = 18/4
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  • 9/2 = 4 1/2

Therefore, the answer is 9/2 or 4 1/2.

3 0
2 years ago
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