the sum of three numbers is 60. one is ten more than the second number. It is also twice the third. find the numbers

Step-by-step explanation: Given that, The sum of two numbers is 60

ie, 1st no + 2nd no = 60

Let us assume that 1st no is ‘x’

then x + 2nd no = 60

=> 2nd no = 60 - x

According to question, 3 times the number is 12 more than the other

=> 3 * 1st no = 12 + 2nd no

=> 3 * x = 12 + (60 - x)

=> 3x = 12 + 60 - x

=> 3x + x = 72

=> 4x = 72

=> x = 72 / 4

=> x = 18

So 1st no = 18

And 2nd no = 60-x = 60–18 = 42

Varification:

=> 3 * 1st no = 12 + 2nd no

=> 3 * 18 = 12 + 42

=> 54 = 54

Varified

Ans: 18 and 42

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;