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3 years ago

Which number below has a value between 6.6 and 6.7?

Mathematics

2 answers:

IceJOKER [234]3 years ago

5 0

Answer:

Step-by-step explanati

goblinko [34]3 years ago

4 0

Answer:

C. =6.633

Step-by-step explanation:

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FREE 100 POINTS JUST SAY “SHAMALAMAMOOMOO”

Arisa [49]

Answer:

SHAMALAMAMOOMOO :) :) :) :) :)

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3 years ago

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

Which of the following is the solution to the equation x^2-36x=0

Marizza181 [45]

$x^2-36x=0 \\
x(x-36)=0 \\
x=0 \ \lor \ x-36=0 \\
x=0 \ \lor \ x=36 \\
\boxed{x=0 \hbox{ or } x=36}$

7 0

3 years ago

Read 2 more answers

Put the following fractions in order of size starting with the one with the least value 5/16 1/2 3/4 5/8 1/4

Stolb23 [73]

Answer:

1/4, 5/16, 1/2, 5/8, 3/4

Step-by-step explanation:

3 0

3 years ago

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HELP PRETTY PLEASE THIS IS URGENT NEED IN THE NEXT HOUR!!

zmey [24]

Answer:

(- 2, 6 )

Step-by-step explanation:

Given the equations

3x + 2y = 6 → (1)

$\frac{2}{3}$ y - x = 6 ( multiply through by 3 to clear the fraction )

2y - 3x = 18 ( add 3x to both sides )

2y = 18 + 3x → (2)

Substitute 2y = 18 + 3x into (1)

3x + 18 + 3x = 6

6x + 18 = 6 ( subtract 18 from both sides )

6x = - 12 ( divide both sides by 6 )

x = - 2

Substitute x = - 2 into (1) and solve for y

3(- 2) + 2y = 6

- 6 + 2y = 6 ( add 6 to both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (- 2, 6 )

7 0

2 years ago