Which symbol creates a true sentence when x equals 3? 8 • 3 – 4x 7(10 – x) a. = b.. ≈ c. < d.>

8 * 3 - 4x 7(10 - x)

First simplify. Multiply 8 with 3, and distribute 7 to all terms in the parenthesis

24 - 4x 70 - 7x

Set as an equal sign.

-4x + 24 = 70 - 7x

Solve for x. Add 7x to both sides, and subtract 24 from both sides

-4x (+7x) + 24 (-24) = 70 (-24) - 7x (+7x)

-4x + 7x = 70 - 24

3x = 46

Isolate the x. divide 3 to both sides

3x/3 = 46/3

x = 15.33 (rounded)

Plug in 15.33 for x in the equation:

24 - 4x 70 - 7x

24 - 4(15.33) 70 - 7(15.33)

Simplify

24 - 62.32 70 - 107.31

Simplify

-38.32 -37.31

To make this "equation" correct, use the right sign.

-38.32 < - 37.31

c. < should be your answer

hope this helps

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.