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Phoenix [80]
3 years ago
5

If my parents give a waiter a 15% tip if the total amount of lunch was 42.00 what should be paid to the waiter as a tip

Mathematics
2 answers:
hodyreva [135]3 years ago
7 0
Tip = 15/100 x 42 = $6.3
VLD [36.1K]3 years ago
4 0
Change the percentage into a decimal.

42*.15= 6.3

They should tip $6.30
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Mary's weight went from 80kg to 68kg. express her weight loss as a % of her original weight
Ratling [72]

80-68=12

12/80=0.12


12% is the answer

6 0
3 years ago
Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos run
Amanda [17]

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

7 0
2 years ago
In the diagram, the measure of angle 3 is (23x)°, and the measure of angle 4 is (7x)°.
Sophie [7]
Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.

The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.

Hope this helped!
3 0
4 years ago
Read 2 more answers
Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the par
Nonamiya [84]

Answer:

D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

3 0
3 years ago
A Crane Lifts a load of 4000N to a height of 20m in 5 seconds. Calculate the power of the Crane in horse power​
Digiron [165]

Answer:

2.54379284 hp.

Step-by-step explanation: Torque is defined as the engines rotational force.  First we find the distance =  m in equation- then we use the formula Power = work/time = 16.7/ 5 = 3.34 and Horsepower formula is given by. Horsepower = (Torque × Speed) / 5252. HP = (3.34 × 4000) / 5252. HP = 13360/5252. HP = 2.54379284 hp.  

Given :    W=4000    m=?        h=20 m                      

Time of operation         t =5 s

Work done in lifting a box            W=mgh= ? ×12×20=4000 = m = 4000/240=16.6666667 = 16.7KG

Power required         P=  W/t   =  w/p = 120000/120 =1000 watts    We divide 60/5 = 120 then divide by 10 = 12 (being g)

3 0
3 years ago
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