Which expression represents the pharse "ten less than the product of 5 and the sum of a number and 3"?

a. 10-5x+2
b. 5(x+20)-10
c. x+2
---- -10
5
d. 10-5(x+2)..

is the answer "b".

Check what you typed for typos

(x+3)
then
5 (x+3)
then
5 (x+3) - 10

which is
5 x + 15 -10
which is
5x+5

sorry i my bad.... the last one is 3 .. i mean the question is..

Which expression represents the pharse "ten less than the product of 5 and the sum of a number and 2"?

then

5(x+2) - 10
= 5 x + 10 - 10
= 5 x

To find the expression that represents the phrase "ten less than the product of 5 and the sum of a number and 3," we can break it down into smaller parts and then combine them.

1. "The sum of a number and 3" can be represented as (x+3), where x is the unknown number.
2. "The product of 5 and the sum of a number and 3" can be written as 5(x+3).
3. "Ten less than the product of 5 and the sum of a number and 3" is obtained by subtracting 10 from the previous expression: 5(x+3) - 10.

Now, let's compare the given options:

a. 10-5x+2: This option does not match the expression we derived, as it includes an additional term (2) and subtracts the unknown value (x) instead of the constant (10).

b. 5(x+20)-10: This option does not match the expression we derived either, as it multiplies the sum of a number and 20 (x+20) by 5 instead of 3.

c. x+2 - 10/5: This option seems to have a typo, as it includes a division symbol. Additionally, it does not match the expression we derived since it only adds the unknown value (x) to 2.

d. 10-5(x+2): This option matches the expression we derived, as it subtracts 10 from the product of 5 and the sum of a number and 2 (x+2).

Therefore, the correct answer is option d: 10-5(x+2).