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2 years ago

Hi can someone help me with question and how you got the answer? thanks :)

Mathematics

2 answers:

liberstina [14]2 years ago

6 0

Answer:

Step-by-step explanation:

Using the rule of exponents/ radicals

$a^{\frac{m}{n} }$ = $(\sqrt[n]{a} )^m$ then

$27^{\frac{4}{3} }$

= $(\sqrt[3]{27} )^4$

= $(3)^{4}$

= 81

Triss [41]2 years ago

5 0

Answer:

Convert 27 4/3 to an improper fraction.

Step-by-step explanation:

Exact Form:

85/3

Decimal Form:

28.¯3

Mixed Number Form:

28 1/3

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A contractor is paving 1 mile 201.25 yards of a county road. How long is this portion of the road in feet and inches?

Natali5045456 [20]

A contractor is paving 1 mile 201.25 yards of a county road

Given distance is 1 mile and 201.25 yards

First we will convert 1 mile in feet.

1 mile = 5280 feet

Now we will convert 201.25 yards in feet

1 yard = 3 ft

201.25 yards = $201.25\times3=603.75$ feet

So total distance in feet is = 5280+603.75 = 5883.75 feet

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This is 5883 feet and 9 inches.

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3 years ago

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kirill115 [55]

X is the gcf so:

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3 years ago

Find the volume of the cone with a radius of 2 inches and a height of 5 inches

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3 years ago

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3 years ago

luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th

aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

$\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}$

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

$\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}$

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

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3 years ago