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Elena L [17]
2 years ago
9

Determine the missing coordinate in the ordered pair (?,5) so that it will satisfy x+6y=18

Mathematics
1 answer:
Mkey [24]2 years ago
6 0
We can start by rewriting the equation:

x + 6y = 18

Because we already have our y-coordinate, we can plug it in for the equation.

x + 6(5) = 18

Now we can simplify.

x + 30 = 18

Since we are adding 30 to a number to get another number less than 30, we can presume that x equals a negative number. 30 - 18 = 12. That means that x would equal -12.

Now we can plug -12 in as x to see if our equation is valid.

-12 + 30 = 18

Because negative 12 added to 30 does equal 18, we know that our equation is correct.

Your final answer: The missing coordinate is -12. The final ordered pair is (-12,5). If you need help understanding, let me know and I will gladly assist you.
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bearhunter [10]

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b

Step-by-step explanation:

5 0
4 years ago
Stoplight a changes color every 30 seconds and stoplight b changes every 40 seconds. after how many seconds will the stoplights
andrey2020 [161]

Answer:

After 120 seconds

Step-by-step explanation:

Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.

Basically, what we want to do here is to

calculate the value with which 30 and 40 have the same multiples or we want to

calculate the lowest common multiple of 30 and 40

The multiples of 30 are 30,60,90,120 etc

The multiples of 40 are 40,80,120 etc

We can see that the lowest common multiple of both is 120

So therefore the spotlights will change colors at the same time after 120 seconds

6 0
3 years ago
What is 8/20 of an hour
Firdavs [7]
Take 8/20 and multiply it by the number of minutes in an hour (60)

6/20 x 60/1

360/20

simplify. divide both numbers by the GCF, 20.

360/20 / 20/20

18/1

there are 18 minutes (1080 seconds) in 8/20 of a hour.

5 0
3 years ago
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a s
vredina [299]

Answer:

3rd option

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Look at the student work shown below.
cluponka [151]
Alrighty, so you said, simplify: 4t (2s - 7)

When there is a variable or number outside of the parenthesis, it means that it wants the whole thing multiplied by that number.

So, your right way to do this is:

4t (2s) + 4t (-7)

Simplify.

8st - 28t

So, the student incorrectly simplified them because she didn't multiply -7 by 4t like they should have.

~Hope I helped!~
4 0
3 years ago
Read 2 more answers
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