2 2/7 + 4 1/2 simplified

Mathematics

2 answers:

RSB [31]3 years ago

5 0

Answer:

2 2/7 + 4 1/2

Step-by-step explanation:

Exact form 95/14 for me

Mixed number will be 6 11/14

OlgaM077 [116]3 years ago

4 0

Answer: 6 and 11/14

Step-by-step explanation:

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Recipe 1/2 lemonade 1 1/2 iced tea. If 16 cups made how any cups of lemonade and iced tea

larisa86 [58]

Answer:

8 lemonade and 24 iced tea

Step-by-step explanation:

1/2=0.5

0.5x16=8 lemonade

1 1/2=3/2=1.5

1.5x16=24 iced tea

6 0

3 years ago

MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

Given functions:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the quadratic formula and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$