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3 years ago

Round the answer to the nearest cent. 5% tax on $20 is $

1 answer:

4 0

5% tax on 20 dollars.
First let's convert 5% to decimal
=> 5% / 100 = .05
Next is to simply multiple 0.05 to 20 dollars
=> 20 * .05 = 1 dollar.
Thus. the 5% of 20 dollars is 1 dollar.

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Which choices are equivalent to the expression below?<br> Check all that apply.

gavmur [86]

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2 years ago

A farmers field is 32 feet on each side. How many square feet does she have to plow?

11111nata11111 [884]

Answer:

1024 sq. ft.

Step-by-step explanation:

Each side is 32 feet long, so you would have to multiply 32 by 32, assuming all the sides are the same length.

3 0

3 years ago

Patrick is building a fence for his backyard. He bought wood planks that have a base length of 1/2 a foot and a height of 6 feet

miss Akunina [59]

Answer:

72 ft^2

Step-by-step explanation:

area = length x width

1/2 x 8 = 3

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5 0

2 years ago

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downs

Virty [35]

Answer: a=8 and b=1

Step-by-step explanation:

If x represents the paddling speed, and y represents the speed of the current.

Then Relative speed in upstream =x-y

Relative time in downstream=x-y

When she paddles upstream then distance covered by her= $speed\times\ time$

⇒8=(x-y)2 or 2(x-y)=8

Thus we get, a=1

When she paddles downstream then distance covered by her= $speed\times\ time$

⇒8=(x+y)1 or 1(x+y)=8

Thus we get b=1

4 0

3 years ago

Read 2 more answers

7+3√5/3+√5 - 7-3√5/3-√5 = a + b√5

daser333 [38]

<h3>Given:-</h3>

$\\ \sf \implies\frac{7 + 3 \sqrt{5} }{3 + \sqrt{5} } - \frac{7 - 3 \sqrt{5} }{3 - \sqrt{5} } = a + \sqrt{5} b \\$

The value of a and b

<h3>Solution:-</h3>

$\\ \sf \implies\frac{7 + 3 \sqrt{5} }{3 + \sqrt{5} } - \frac{7 - 3 \sqrt{5} }{3 - \sqrt{5} } = a + \sqrt{5} b \\$

$\\ \sf \implies\frac{( \: 7 + 3 \sqrt{5} \: \: ( 3 - \sqrt{5}) \: \: - 7 - 3 \sqrt{5} \: \: ( 3 + \sqrt{5}) \: }{(3 + \sqrt{5}) \: \:(3 + \sqrt{5}) } = a + \sqrt{5} \: b\\$

$\\ \sf \implies\frac{( \: 21 - 7 \sqrt{5} \: + 9 \sqrt{5} - 15) \: \: - ( \: 21 + 7 \sqrt{5} \: - 9 \sqrt{5} + 15)\: }{(3 + \sqrt{5}) \: \:(3 + \sqrt{5}) } = a + \sqrt{5} \: b\\$

$\\ \sf \implies\frac{( \: 6 + 2 \sqrt{5} ) \: \: - ( \: 6 - 2 \sqrt{5} )\: }{(3 + \sqrt{5}) \: \:(3 + \sqrt{5}) } = a + \sqrt{5} \: b\\$

$\\ \sf \implies\frac{\: 6 + 2 \sqrt{5} \: \: - \: \: 6 - 2 \sqrt{5} \: }{(3 + \sqrt{5}) \: \:(3 + \sqrt{5}) } = a + \sqrt{5} \: b\\$

$\\ \sf \implies\frac{\: 4 \sqrt{5} \: \: }{3 {}^{2} - {\sqrt{5} }^{2} } = a + \sqrt{5} \: b\\$

$\\ \sf \implies\frac{\: 4 \sqrt{5} \: \: }{ \: \: \: \: 9 - 5 \: \: \: } = a + \sqrt{5} \: b\\$

$\\ \sf \implies\frac{\: 4 \sqrt{5} \: \: }{ \: \: \: \: 4 \: \: \: } = a + \sqrt{5} \: b\\$

$\\ \sf \implies\frac{\: \cancel{4 } \sqrt{5} \: \: }{ \: \: \: \: \cancel{4 }\: \: \: } = a + \sqrt{5} \: b\\$

$\\ \sf \implies \: \sqrt{5} = a + \sqrt{5} \: b\\$

we can also write it as ;

$\\ \sf \implies \: 0 + \sqrt{5} = a + \sqrt{5} \: b\\$

★<u> </u><u>Henceforth, the value of a and b are</u> :

→ a = 0

→ b = 1

6 0

2 years ago

Read 2 more answers