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Ad libitum [116K]
3 years ago
12

The waitress and the hostess at a restaurant share the tips at the end of the shift. The average amount earned in tips between t

he two of them is $75. The waitress gets $45 and the hostess gets $30. If they continue to earn money at this rate, how many dollars will the waitress receive if they earn $350 at the end of the shift?
Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0
The waitress gets 45/75   = 3/5  of the tips 

so waitress gets 3/5 * 350 = $210 
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263/10 as a decimal equals 26.3

Step-by-step explanation:

To write 263/10 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 263 by 10 what we write down as 263/10 and we get 26.3

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Given the triangle below, what is the length of the third side, rounded to the nearest whole number?
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Step-by-step explanation:

You need the Law of Cosines for this, namely:

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a school has 415 third grade and 338 second graders how many more third graders are there than second graders?
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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab
Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

m=\frac{y_2-y_1}{x_2-x_1}

The product of slopes of two perpendicular lines is -1.

Slope of GR is

\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}

Slope of RT is

\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1

Product of slopes of GR and RT is

\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

(x,y)\rightarrow(x-1,y-2)

Then the coordinates of T' are

(2,6)\rightarrow(2-1,6-2)

(2,6)\rightarrow(1,4)

Slope of RT' is

\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}

Product of slopes of GR and RT' is

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Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0
3 years ago
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