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vova2212 [387]
2 years ago
10

Write the numbers in order from least to greatest. -2, 1 1⁄2, -2 3⁄4, 3⁄10

Mathematics
1 answer:
QveST [7]2 years ago
6 0
-2 3/4, -2, 3/10, 1 1/2
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9.8 meters divided by .14 meter pieces. 70 pieces that Ralph can cut from the spool.
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7(2x-5)-11=3(5x-2)-2x
ICE Princess25 [194]

Answer:

x=40

Step-by-step explanation:

7(2x-5)-11=3(5x-2)-2x      Distribute

14x-35-11=15x-6-2x          Simplify

14x-46=13x-6                   subtract 13x and add 46

x=40

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3 years ago
Which statements are true?
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MATH HELP!!! 100PTS!!!
Lostsunrise [7]

Answer:

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

Step-by-step explanation:

<u>Given functions</u>:

  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:

<u>Quadratic Formula</u>

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 <u>quadratic formula</u> 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}

Therefore, the solutions are:

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

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0
1 year ago
7.
lyudmila [28]

Answer:

$22.50

Step-by-step explanation:

900 x 2.5%

=22.50

3 0
3 years ago
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