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2 years ago

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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Ralph has a spool with 9.8 meters of wire. How many 0.14 meter pieces of wire can he cut from the spool?

Alina [70]

9.8 meters divided by .14 meter pieces. 70 pieces that Ralph can cut from the spool.

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3 years ago

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?

Alexxx [7]

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2 years ago

Read 2 more answers

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:

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

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

lyudmila [28]

Answer:

$22.50

Step-by-step explanation:

900 x 2.5%

=22.50

3 0

3 years ago