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Helga [31]
2 years ago
6

6. Two joggers start at the same time from opposite ends of a 10 km course. One jogger is running at 6 km/hr and the other is ru

nning at 10 km/hr. How long after they start will they meet?​
Mathematics
1 answer:
Luda [366]2 years ago
5 0

Answer:

In this problem, we are basically finding the LCM of the two numbers.

LCM means the smallest common multiple of two or more numbers.

For example, the LCM of 5 and 10 would be 10, because 5 can go into 10.

Another example would be the LCM of 9 and 6. The answer would be 18, because both numbers can go into 18 and that is the smallest it can go.

Step-by-step explanation:

So, in this problem, we are finding the LCM of 10 and 6.

The LCM of 10 and 6 would be 30.

If you thought it was 60, you are correct, but the two numbers have a smaller similarity.

10: 10, 20, 30, 40, 50, 60.

6: 6, 12, 18, 24, 36, 42, 48, 54, and 60.

As you can see, 30 is the best choice to pick.

Hope this helps and have an amazing day!

You might be interested in
Yvette is starting a jewelry business. She spends $120 on supplies and makes 18 necklaces. She wants to earn a profit equal to 3
kiruha [24]

Yvette wants to earn a profit of $360, then. That means she has to make a total of $480. 480 divided by 18 is 26 and 2/3. That basically rounds up to $26.67.


480 = 18x


360 = 18x - 120


120(3) = 18x - 120


(I'm not that good at this, so don't take my word for it)

4 0
3 years ago
Which value is NOT a solution of 8x3 – 1 = 0?
Tpy6a [65]

<u><em>Note: As you may have unintentionally missed to add the value choices. But, I would make sure to explain the concept so that you may improve your understanding in terms of solving these type of questions.</em></u>

Answer:

Any value other than the values x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4} will not be a solution of 8x^3\:-\:1\:=\:0.

Step-by-step explanation:

Considering the equation

8x^3\:-\:1\:=\:0

Steps to solve the equation

8x^3-1=0

\mathrm{Add\:}1\mathrm{\:to\:both\:sides}

8x^3-1+1=0+1

\mathrm{Simplify}

x^3=\frac{1}{8}

\mathrm{Divide\:both\:sides\:by\:}8

\frac{8x^3}{8}=\frac{1}{8}

\mathrm{Simplify}

x^3=\frac{1}{8}

As

\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}

x=\sqrt[3]{\frac{1}{8}},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1-\sqrt{3}i}{2}

So,

x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}

Therefore,

Any value other than the values x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4} will not be a solution of 8x^3\:-\:1\:=\:0.

Keywords: solution, value

Learn more about equation solution from  brainly.com/question/1679491

#learnwithBrainly

7 0
2 years ago
X4⋅x5=x20 <br><br> Group of answer choices<br><br> True<br><br> False
Gnoma [55]

Answer:

True.

Step-by-step explanation:

It explains itself right

3 0
2 years ago
Is -11.16 a fraction or a mixed number
natita [175]
Neither it is a decimal. 
7 0
3 years ago
Read 2 more answers
Please help me and answer correctly!
LenKa [72]
A^-b = 1/a^b
a^b / a^c = a^b-c
a^c / b^c =(a/b)^c

3 0
3 years ago
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