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3 years ago

Need help with compound fractions. Please answer both

Mathematics

1 answer:

Reika [66]3 years ago

6 0

$\frac{8*( \frac{c}{c} )- \frac{3}{c} }{2*( \frac{7c}{7c})+ \frac{3}{7c} } \\ \\ \frac{ \frac{8c-3}{c} }{ \frac{14c+3}{7c} } \\ \\ \frac{8c-3}{c} * \frac{7c}{14c+3} \\ \\ = \frac{56c-21}{14c+3}$

Domain restrictions are what x values make the denominator zero.
a² + 5a - 36 = (a + 9)(a - 4)
a ≠ -9 ; a ≠ 4

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What is the distance between the points (4, 6) and (5, 3)? Write the answer in simplest radical form.

frez [133]

Answer:

$\sqrt{10} \: \: units$

Step-by-step explanation:

$\sqrt{(6 - 3)^{2 } + (4 - 5)^{2} }$

$\sqrt{9 + 1}$

$\sqrt{10}$

= 3.16 units

7 0

3 years ago

After working 80 hours at his job, Tyshawn earned a total of $1080. How much does Tyshawn earn

bogdanovich [222]

The amount Tyshawn earn per hour is $13.5

<h3>Ratio and proportion</h3>

Fractions are written as a ratio of two integers

If after working 80 hours at his job, Tyshawn earned a total of $1080, then;

80 hrs = $1080

In order to calculate the amount earned per hour

Amount per hour = 1080/80

Amount per hour = $13.5

Hence the amount Tyshawn earn per hour is $13.5

Learn more on ratio here: brainly.com/question/25927869

#SPJ1

7 0

2 years ago

A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at

valina [46]

Answer:

$P(Same)=\frac{61}{190}$

Step-by-step explanation:

Given

$Red = 5$

$White = 6$

$Black = 9$

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

$Total = 5 + 6 + 9$

$Total = 20$

This is calculated as:

$P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)$

So, we have:

$P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

$P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}$

$P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}$

$P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}$

$P(Same)=\frac{20+30+72}{380}$

$P(Same)=\frac{122}{380}$

$P(Same)=\frac{61}{190}$

4 0

3 years ago

harriet is cultivating a strain of bacteria has doubled by the end of every second hour. how many bacteria will harriet have in

Black_prince [1.1K]

Answer:

n2^3 bacteria, n being the initial population.

Step-by-step explanation:

compound growth equation: P=n2^t

P is total population

n is initial population

t is time

since it doubles every second hour, and there are 6 hours

6hours/2hours= doubles 3 times, thats why t=3.

7 0

3 years ago

What is the product of the polynomials shown below?

Sindrei [870]

Answer:

B. 14x^3+39x^2+18x+20

Step-by-step explanation:

Given polynomials are:

$(7x^2+2x+4)(2x+5)\\For\ product\\(2x+5)(7x^2+2x+4)\\= 2x(7x^2+2x+4)+5(7x^2+2x+4)\\= 14x^3+4x^2+8x+35x^2+10x+20\\Combining\ alike\ terms\\= 14x^3+4x^2+35x^2+8x+10x+20\\=14x^3+39x^2+18x+20$

The product of given polynomials is:

14x^3+39x^2+18x+20

Hence, Option B is correct ..

8 0

3 years ago

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