Find the sum of ninety-nine and ninety-nine hundredths and eight hundred thirty-four and one hundred eleven thousand.

Rigo and Ian went shopping for soccer cleats and practice uniforms. Rigo spent $451, before taxes, and purchased three uniforms

yan [13]

Answer:

The price of uniform U= $145

price of each pair of cleats C= $16

Step-by-step explanation:

Let:

The Price of Each Uniform = U

The Price of Each Pair of Cleats = C

Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.

→ Equation A

Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.

→ Equation B

Let's calculate → 2(Equation A) - (Equation B)

2(3U+C)-(5U+2C)= 2(451) -757

6U+2C-5U-2C= 145

U=$ 145

3U+C= 451

3(145)+C= 451

C= 451-435

C= $16

3 0

3 years ago

The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa

bagirrra123 [75]

(x + 3) • (x - 12)

The first term is, x2 its coefficient is 1 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is -36 

Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -9 .

-36 + 1 = -35 -18 + 2 = -16 -12 + 3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
 x2 - 12x + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
 x • (x-12)
 Add up the last 2 terms, pulling out common factors :
 3 • (x-12)
Step-5 : Add up the four terms of step 4 :
 (x+3) • (x-12)
 Which is the desired factorization

Final result : (x + 3) • (x - 12)