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Xelga [282]
2 years ago
14

Wendy and two friends went out to eat and decided they would split the bill. The total bill was 35.40. They also decided to leav

e a 20% tip. What is the price that each person paid?
Mathematics
1 answer:
marta [7]2 years ago
8 0

Answer:

14.16

Step-by-step explanation:

we first calculate the total amount of money paid, which is 35.40 plus 20%, we use this calculation:

35.40×1.20 = 42.48

now, this amount is split to 3 people, so:

42.48/3 = 14.16

and that is our answer

You might be interested in
Contains the point (-1, 2) and is parallel to<br> x – 2y = -3
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

with m = \frac{1}{2}

• Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - \frac{1}{2} + c ⇒ c = 2 + \frac{1}{2} = \frac{5}{2}

y = \frac{1}{2} x + \frac{5}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0
3 years ago
Subtract: 3x 2 -7x 4 from 5x 2 - 3x 8.
Andrew [12]
(3x² -7x⁴) from (5x² - 3x⁸)

= 5x² - 3x⁸ - (3x² -7x<span>⁴ )

= </span> 5x² - 3x⁸ - 3x² + 7x<span>⁴ 

= </span>- 3x⁸ + 7x⁴ +  5x² <span>- </span><span>3x²
</span>
= - 3x<span>⁸ </span>+ 7x⁴ +  2x<span>²</span>
4 0
3 years ago
While walking between gates at an airport, you notice a child running along a moving walkway. Estimating that the child runs at
tekilochka [14]

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

<h3>How to estimate the speed of the moving walkway relative to the airport terminal?</h3>

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) =  speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)

simplifying the equation, we get

23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)

23(2.8+2.8)/29=2.8^2-x^2

x^2=(2.8)^2-(23*5.6)/29)=3.4

x=\sqrt{3.4}=1.84m/s

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

To learn more about Speed refer to:

brainly.com/question/4931057

#SPJ4

4 0
2 years ago
Which of the following is a polynomial with roots
PtichkaEL [24]
a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-\sqrt3;\ x_2=\sqrt3;\ x_3=-2;\ a=1\\\\subtitute\\\\(x+\sqrt3)(x-\sqrt3)(x+2)=(x^2-3)(x+2)\\\\=\boxed{x^3+2x^2-3x-6}\to\fbox{B.}
5 0
3 years ago
Read 2 more answers
A two-factor research study has 2 levels of factor A and 3 levels of factor B with a separate sample of n = 5 subjects in each t
amid [387]

Answer:

option (b) df = 1, 24

Step-by-step explanation:

Data provided in the question:

levels of factor A, a = 2

levels of factor B, b = 3

Subjects in each Sample, s = 5

n = 5 × 3 × 2 = 30

Now

df for Factor A = a - 1

= 2 - 1

= 1

df for Factor B = b - 1

= 3 - 1

= 2

df for Interaction AB = ( a - 1 ) × ( b - 1 )

= 1  × 2

= 2

df for Total = n - 1

= 30 - 1

= 29

df for error = 29 - 5

= 24

Hence,

df values for the F-ratio evaluating the main effect of factor A is 1, 24

The correct answer is option (b) df = 1, 24

6 0
4 years ago
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