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Aleks [24]
3 years ago
8

Simplify: 4sqrt400/4sqrt5. show your work

Mathematics
2 answers:
xenn [34]3 years ago
8 0

Answer:

4\sqrt{5}

Step-by-step explanation:

\dfrac{4\sqrt{400}}{4\sqrt{5}} =

= \dfrac{4 \times 20}{4\sqrt{5}}

= \dfrac{20}{\sqrt{5}}

= \dfrac{20\sqrt{5}}{\sqrt{5} \sqrt{5}}

= \dfrac{20\sqrt{5}}{5}

= 4\sqrt{5}

shusha [124]3 years ago
4 0

4 sqrt(400) / 4 sqrt(5)

sqrt(400) =20

4 *20

--------

4 sqrt(5)

the 4's on the top and bottom cancel

20

--------

sqrt(5)


I was taught never to leave a sqrt in the denominator

so you need to multiply by sqrt (5) in the numerator and the denominator

20* sqrt(5)

--------

sqrt(5)* sqrt(5)


20* sqrt(5)

--------

5

= 4 sqrt(5)


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Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas
lianna [129]

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

so

z2=(10/3)2=100/9

7 0
3 years ago
Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv
mojhsa [17]

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ x+1.5\leq 5

where x represents he number of hours of television that Julia can still watch this week

On solving for x, we get

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = x

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ x+1.5

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ x+1.5\leq 5

Solving for x

Subtracting both sides by 1.5

x+1.5-1.5\leq 5-1.5

x\leq3.5

Thus, Julia can still watch no more than 3.5 hours of television this week.

6 0
3 years ago
Which of the following fractions is less than 1<br> options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4
natima [27]

Answer:

B

Step-by-step explanation:

11/4=2.75

3/4=0.75

5/4=1.25

23/4=5.75

8 0
2 years ago
Read 2 more answers
Luke's retirement party will cost $30 if he invites 6 guests. What is the maximum number of
Lera25 [3.4K]
The answer is 7 guests
6 0
3 years ago
Can someone please explain to me why and how this equates to 7.4%??????
Mumz [18]

so, you're correct, it is the Food industry, and it went down from 2.7 to 2.5, well, so it really went down 2.7 - 2.5 or 0.2.


well, if we take 2.7 to be the 100% from that row, what is 0.2 off of it in percentage format?


\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.7&100\\ 0.2&x \end{array}\implies \cfrac{2.7}{0.2}=\cfrac{100}{x}\implies x=\cfrac{0.2\cdot 100}{2.7}\implies x\approx\stackrel{\%}{7.4}

5 0
3 years ago
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