<img src="https://tex.z-dn.net/?f=-2%5Csqrt%7B18%7D%20%2B2%5Csqrt%7B2%7D" id="TexFormula1" title="-2\sqrt{18} +2\sqrt{2}" alt="-

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Maksim231197 [3]

3 years ago

2\sqrt{18} +2\sqrt{2}" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

UkoKoshka [18]3 years ago

5 0

Answer:

- 4 $\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify $\sqrt{18}$ using this rule

$\sqrt{18}$

= $\sqrt{9(2)}$

= $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Then

- 2 $\sqrt{18}$ + 2 $\sqrt{2}$

= - 2(3 $\sqrt{2}$ ) + 2 $\sqrt{2}$

= - 6 $\sqrt{2}$ + 2 $\sqrt{2}$

= - 4 $\sqrt{2}$

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A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2

bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

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3 years ago

What is the slope of a line parallel to the line whose equation is 4x + 5y = -35.

saw5 [17]

Answer:

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3 years ago

Please!!! Help!!! Brainliest of Right! it goes as 50 point in the end but i used 100 point if you help me i will help you!!

vekshin1

Answer:

2. 3.913 kg (3 dp)

3. light cream

4. 240 CoffeeStops

5. 7 CoffeeStops per square mile

6. 2,861 cups of coffee each day

Step-by-step explanation:

Given:

Skim milk density at 20 °C = 1.033 kg/l
Light cream density at 20 °C = 1.012 kg/l
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Question 2

$\begin{aligned}\textsf{1 gallon} & = \sf \dfrac{1}{0.264}\:liters\\\\\implies \textsf{Mass (1 gallon of skim milk)} & = \sf Density \times Volume\\& = \sf 1.033\:kg/l \times \dfrac{1}{0.264}\:l\\& = \sf 3.913\:kg\:(3\:dp)\end{aligned}$

Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)

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Question 3

Given:

Volume of liquid = 9 liters
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$\begin{aligned}\implies \sf Density & = \sf \dfrac{Mass}{Volume}\\\\& = \sf \dfrac{9.108\:kg}{9\:l}\\\\& = \sf 1.012\:kg/l \end{alilgned}$

Therefore, the container holds light cream.

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Question 4

Given:

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$\begin{aligned}\implies \textsf{Number of Coffeestops} & = \sf \dfrac{population}{density}\\\\& = \sf \dfrac{1,602,000}{100,000/15}\\\\& = \sf \dfrac{1,602,000}{100,000} \times 15\\\\& = \sf 240.3\end{aligned}$

Therefore, there are 240 CoffeeStops.

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Question 5

Given

Manhattan ≈ 34 square miles

$\begin{aligned}\implies \textsf{CoffeeStops density} & = \sf \dfrac{number\:of\:stores}{land\:area}\\\\& = \sf \dfrac{240}{34}\\\\& \approx \sf 7 \: \textsf{CoffeeStops per square mile}\end{aligned}$

Therefore, the density of CoffeeStops is 7 per square mile.

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Question 6

Given:

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Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.

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3 years ago

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