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3 years ago

$30 before tax discount 20% tax 6.4% tip 15%

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

Answer:

$29.14

Step-by-step explanation:

$30 before tax and discount

20% discount

100% - 20% = 80% = 0.8

0.8 * $30 = $24 after discount before tax and tip

tax: 6.4%

100% + 6.4% = 106.4% = 1.064

1.064 * $24 = $25.54

tip: 15% = 0.15

0.15 * $24 = $3.60

total = $25.54 + $3.60 = $29.14

jeyben [28]3 years ago

4 0

Answer: $30.44

Step-by-step explanation:

$30 20% of tht is 6

30-6=24

tax is 6.4% which is 1.94

24+1.94 which equals $25.94

tips is 15% 4.5 so we add that to $25.94

so total is $30.44

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nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by t

Gnesinka [82]

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the information provided in the question was attached in the image below.

From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:

$c^2 = a^2 + b^2 -2ab cos \ C$

where;

a = 110

b = 104

Cos C = 26°

Then;

$c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}$

4 0

3 years ago

Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

34kurt

Answer:

Option D. $y=\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

$y=x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=0+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

$y=1-\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=1-\frac{1}{3}(0)=1$

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

$y=3x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=3(0)+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

$y=\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=\frac{1}{3}(0)=0$

The line passes through the origin

therefore

The equation D represent a proportional relationship

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kipiarov [429]

Answer:

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Step-by-step explanation:

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Fofino [41]

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astraxan [27]

Answer:

1 out of 25

Step-by-step explanation:

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