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2 years ago

A migrating bird flies 700 miles in 1414 hours. How many miles does it fly in 33 hours

1 answer:

5 0

In 1414 hours it covered 700 miles

In 1 hour it would have covered (700/1414) mile

In 33 hours it will then cover : 700/1414 * 33 = 16.34

So in 33 hours it will cover ≈ 16.34 miles.

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An equation is shown. x + 3 = 8.5 what is the solution to the equation

skad [1K]

Answer:

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Step-by-step explanation:

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5 0

2 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 graph of y=log(-x)?

Leno4ka [110]

Answer: The graph is attached. Please note that the logarithm function is defined for non-negative Reals only. Therefore the log(-x) only exists in the negative interval (-inf,0). Please let me know if you have any questions.

7 0

3 years ago

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3. Math test scores: 93, 86, 93, 85, 73 mean = median = mode(s) = range = © M. Tallman 2014 ww

GalinKa [24]

Answer:

Mean = 86

Median = 86

Mode = 93

Range = 20

Step-by-step explanation:

Mean is the average of a set of numbers. To find the average, you add all the numbers together and divide the product by how many numbers are in the set so:

93 + 86 + 93 + 85 + 73 = 430

430/5 = 86

Median is the middle of a set of numbers.

First put the numbers in order of smallest to biggest

73, 85, 86, 93, 93.

The middle number is 86 so the median is 86.

A mode or modes are numbers that appear most frequently in a number of sets. They’re can be multiple modes.

The most frequent number is 93 so the mode is 93

Range is the difference of the biggest number and the smallest number. The biggest is 93 and the smallest is 73.

93 - 73 = 20

The range is 20

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2 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Zina [86]

I believe the answer is the last on KJM and KJH

5 0

3 years ago

A migrating bird flies 700 miles in 1414 hours. How many miles does it fly in 33 ​hours

A migrating bird flies 700 miles in 1414 hours. How many miles does it fly in 33 hours