What value of x will make this proportion true? 3/29 = x/116 a)11 b)12 c)15 d)16

Answers

Answer 1

Answer: Well first you divide 116 by 29, and get 4. Then you multiply that 4 by the 3 and you get 12. So 3/29 = 12/116.

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Use long division to find the quotient.

(x²+6x-27) ÷ (x-3)

Answers

$( x^2+6x-27 )/(x-3) = ( x^2+6x +3x-3x-27 )/(x-3) = ( x^2+9x-3x-27 )/(x-3) = \n \n =( x(x +9 )-3(x+9) )/(x-3) = ( (x +9 ) (x-3) )/(x-3) = x+9 \n \n \n x-3\neq 0 \nx\neq 3\nD=R\setminus \left \{ 3 \right \}$

Find the square. (6m+7)2

Answers

Answer:

the square of $(6m+7)^2$ is, $36m^2+84m+49$

Step-by-step explanation:

To find the square of $(6m+7)^2$

Using the identity:

$(a+b)^2 = a^2+2ab+b^2$

Apply this identity on the given expression:

$(6m+7)^2$

⇒ $(6m)^2+2(6m)(7)+7^2$

Simplify:

⇒ $36m^2+84m+49$

Therefore, the square of $(6m+7)^2$ is, $36m^2+84m+49$

( 6 m + 7 )² =

Apply distritutive rules:

(6m)² + 2 * 6 m * 7 + 7² =

6 m * 6 m + 2 * 6 m * 7 + 7*7 =

36 m² + 84m + 49

hope this helps!

A recipe that makes 8 servings calls for 2/5 cup of flour. Jeff modifies the recipe so that it can serve 10. How many cups of flour does Jeff need?

A. 4 4/5

B. 1 1/4

C. 3/4

D. 12/25