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3 years ago

Can someone help fast please

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

Answer:

$\frac{3a}{a-2}$

Step-by-step explanation:

$\frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14}$

Factorise $2a^2 - 11a + 14}$

$\frac{2a - 7}{a}*\frac{3a^2}{(2a - 7)(a - 2)}$

$2a - 7$ cancels 2a - 7

$\frac{1}{a}*\frac{3a^2}{(1))(a - 2)}$

$\frac{1(3a^2)}{a(a-2)}$

$\frac{a(3a)}{a(a-2)}$

"a" cancels "a"

$\frac{3a}{a-2}$

Thus,

$\frac{2a - 7}{a}*\frac{3a^2}{2a^2 - 11a + 14}$ = $\frac{3a}{a-2}$

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Which two statements below are true ?

Marrrta [24]

A) 2/6 = 1/3
1/3 = 1/3

True
------

b) 1/3 > 2/4
1/3 > 1/2

False
------

c) 1/8 > 3/4

False
------

d) 2/5 < 1/2

True
------

e) 4/12 < 1/6

False
------

f) 3/5 = 7/10

False
------

This is all just a process of simplifying fractions down.

The only 'true' statements there are is option A and D.

6 0

3 years ago

A cube-shaped aquarium has edges that are 3 feet long and is filled with water that has a density of 62 lbs/ft3 Should the aquar

Sunny_sXe [5.5K]

Given:

There are given the edge of the cube-shaped aquarium has 3 feet.

Explanation:

To find the value, we need to use the volume of the cube formula:

So,

From the formula of volume:

$V=a^3$

Where

a represents the value of edge.

So,

Put the value of edge into the above formula:

Then,

$\begin{gathered} V=a^3 \\ V=3^3 \\ V=27cube\text{ feet} \end{gathered}$

Now,

The water has a density of 62 pounds per cube foot.

According to the question:

If the weight of 1 cubic foot of water is 62 pounds, then the weight of 27 cube feet water is:

$62\times27=1674pound$

Final answer:

Hence, the water weight of the full aquarium is 1674 pounds, and the table only susupports00 pounds. So the table cannot hold the aquarium.

And,

No, the density of water would not change.

6 0

1 year ago

Simplify the expression where possible. (t 9) -8

makvit [3.9K]

Answer:

$\frac{1}{t^{72}}$ .

Step-by-step explanation:

To solve this problem, we need to simplify the expression $(t^{9})^{-8}$ .

We know that $(x^{a})^{b} = x^{ab}$

Therefore:

$(t^{9})^{-8} =t^{-72} =\frac{1}{t^{72}}$ .

7 0

3 years ago

Is 50.2 a rational or an irrational number, why?

Greeley [361]

Answer:

Rational.

Step-by-step explanation:

$\textbf{A rational number is a real number that can be expressed as}~ \dfrac{p}{q},\\\\\textbf{where}~ p~ \textbf{and}~ q~ \textbf{are integers.}\\\\ \boxed{50.2 = \dfrac{502}{10}}\\\\ \textbf{50.2 can be expressed as a ratio of two integers,}~ \textbf{so it is a rational number.}$

4 0

2 years ago

Population management is essential for development justify the statement

olya-2409 [2.1K]

Answer:

Population management is important due to the fact that humans rely on different types of animals for food that if we populate to much that we could all run out of food because say if there are 30 humans and 5 pigs even if they both multiply there well still not be enough in the long run. Which throws the balance over nature off. So if we keep on populating we are practically killing are selves, population management is essential if you do not want the human race to die out.

Step-by-step explanation:

3 0

3 years ago