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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!

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A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men
jarptica [38.1K]

Answer:

87.29%

Step-by-step explanation:

Given: Mean= 68.8 inches

           Standard deviation= 2.8 inches

           

Now, finding the percent of the men in the sample were greater than 72 inches.

We know, z-score= \frac{x-mean}{standard\ deviation}

z-score= \frac{72-68.8}{2.8}

⇒ z-score= \frac{3.2}{2.8} = 1.14

∴ z-score= 1.14

Next, using normal distribution table to find percentage.

Coverting 0.8729 into percentage= 0.8729\times 100

We get the percentage as 87.29%

Hence, 87.29% of the men in the sample were greater than 72 inches.

6 0
3 years ago
What is the solution to the system of equations?<br><br> y = 2x + 4<br> y = -x + 1
den301095 [7]

Step-by-step explanation:

start by setting each equation to each other

2x + 4 =  - x + 1

first we are going to subtract 2x from both side of the equation

4 =  - 3x + 1

now subtract 1 from both sides

3 =  - 3x

now divide by -3 on both sides

5 0
3 years ago
Mark invests $150 at the beginning of each quarter in stock ABC. According
Paraphin [41]

Answer: 38 shares

Step-by-step explanation:

4 0
2 years ago
How do I do numbers 1, 2 and 3
stiks02 [169]
What you want to do for each of those is follow the formula, y-y[1]=m(x-x[1]). When I say y[1] and x[1], I mean the x and y values given. So the first one would be y-4=-3(x-(-1)). Then you solve for y by distributing the -3 to x and +1 (+1 because two negatives make a positive), making the equation
y-4=-3x-3. Then you subtract the 4. Answer #1. y=-3x-7. 

#2. 
y-1=1(x-4)
y-1=x-4
y=x-5

#3.
y-2=2(x-(-1))
y-2=2x+2
y=2x+4

Hope this helped you!

8 0
2 years ago
Suppose Colby rolls the number cube 1000 times, about how many times can she expect to roll an odd number?​
DiKsa [7]

Since there are 3 odd numbers ( 1, 3 and 5) and 3 even numbers ( 2, 4 and 6) in the cube ,

The chance of getting an odd number is 50/50 or 50%

So out of 1000 she will probably get 500 odd since 1000 × 0.5 (which is 50%) is 500

5 0
3 years ago
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