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ira [324]
3 years ago
8

Your total bill at a restaurant is $24.89 you were very pleased with your service so you decide to leave a 20% tip what is the a

mount of the tip you will leave your waiter
Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
The amount of tip u will leave ur waiter is 20% of 24.89

20% of 24.89....turn ur percent to a decimal..." of " means multiply
0.20(24.89) = 4.978 rounds to 4.98 <===
You might be interested in
Use the rectangle to find x and y
sineoko [7]
Y=11 x=13
It’s a rectangle so each angle equals 90
1
Angle 1 + angle 2 =90
5y+2y+13=90
7y=77
y=11
Th diagnose of a rectangle bisect so 8x-16=5x+23
3x=39
X=13
8 0
2 years ago
Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are
Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0
2 years ago
Find x <br> Plz help me !!!
mel-nik [20]

Answer:

\Huge\boxed{x=33.2}

Step-by-step explanation:

Hello there!

We can solve for x using law of sines

As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)

So we can use this equation to solve for x

\frac{21}{sin(35)} =\frac{x}{sin(65)}

Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)

\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}

we're left with

x=\frac{21sin(65)}{sin(35)}\\x=33.18208755

assuming we have to round the answer would be 33.18 or 33.2

7 0
3 years ago
What are the values of m and n
Natasha2012 [34]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The required values are ~

  • m = 60 \degree

  • n = 30 \degree

Refer to attachment for solution ~

7 0
2 years ago
find the mean, median, and mode of the data set round to the nearest tenth 15, 1 , 4, 4, 8, 7, 15, 4, 5
Dmitriy789 [7]

15,\ 1,\ 4,\ 4,\ 8,\ 7,\ 15,\ 4,\ 15,\ 4,\ 5\to\underbrace{1,\ 4,\ 4,\ 4,\ 4,\ 5,\ 7,\ 8,\ 15,\ 15,\ 15}_{11}\\\\mean=\dfrac{1+4+4+4+4+5+7+8+15+15+15}{11}=\dfrac{82}{11}\approx7.5\\\\median:1,\ 4,\ 4,\ 4,\ 4,\ \boxed{5},\ 7,\ 8,\ 15,\ 15,\ 15\\\\mode:1,\ \underbrace{4,\ 4,\ 4,\ 4}_{4},\ 5,\ 7,\ 8,\ 15,\ 15,\ 15

<h3>Answer: mean = 7.5, median = 5, mode = 4</h3>
6 0
3 years ago
Read 2 more answers
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