Which is the product of 5/18 and 6?

Factor -3x - 3y - 3z.<br> 3(-x – y + z)<br> 3(x - y - z)<br> -3(x + y + z)<br> -3(x - y - z)

abruzzese [7]

3rd option is the correct answer

8 0

3 years ago

Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two

mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0

3 years ago

How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?

dem82 [27]

How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?

Answer: the third option (12 zeros..).

Use ^ to denote an exponent..

f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23..

We know from that fact that the number of zeros (real or complex) in a polynomial is the same as the degree of the polynomial..

The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..)..

The degree is 12, thus it means there are 12 zero's..

Answer: the third option (12 zero's )...

3 0

3 years ago

5 2/3 - 2 5/6 how much is this

Bond [772]

if those are fractions being five and two thirds etc... I believe it would be 17/6. if you convert to improper fractions and then get a common denominator to subtract that should do it. Hope that helps.

6 0

3 years ago

Read 2 more answers

Mario volunteers 1 day each month at the animal shelter. For y days he cleans for 5.5 hours each day. On the other days he walks

viva [34]

Part A: The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365

Part B: The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Number of days Mario volunteers each month at the animal shelter = 1

Number of hours Mario cleans for y days = 5.5 hours

Number of hours Mario each day = 5.5/y

Number of minutes Mario uses to walk dogs for y days = 75 minutes

Number of hours Mario uses to walk dogs for y days= 75/60

Number of hours Mario uses to walk dogs for y days= 1.25 hours

Number of hours Mario uses to walk dogs each day= 1.25/y

Total number of hours Mario volunteers in a day = Number of hours Mario cleans each day + Number of hours Mario uses to walk dogs

Total number of hours Mario volunteers in a day = 5.5/y + 1.25/y

Total number of hours Mario volunteers in a day = 6.75/y

Convert the number of hours to minutes

1 hour = 60 minutes

Total number of minutes Mario volunteers in a day = (6.75/y) x 60

Total number of minutes Mario volunteers in a day = (405/y) minutes

Number of days in 1 year = 365

The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365

The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Learn more here: brainly.com/question/11780383

8 0

3 years ago