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Jlenok [28]
3 years ago
15

Mailynn, Grace and their friends went out for lunch. Their total bill was $52.30. If they want to leave a 15% tip, how much mone

y should their gratuity (tip) be?
Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

7.845 Hope this helps! :)

Step-by-step explanation:

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The distance between two schools M and K is 2km. A market is situated between M and K . How far is the market from k ?
Kamila [148]

Answer:

1 km

Step-by-step explanation:

if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km

7 0
3 years ago
The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.
Sati [7]

Answer:

<em>(a) Denise received $640.</em>

<em>(b) The total amount the bank charged Denise was £11</em>

Step-by-step explanation:

<u>Proportions and Percentages</u>

The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.

(a) Denise changed £400 into dollars. Applying the exchange rate:

£400 = 1.60*400 = $640

Denise received $640.

(b) To change the money, we need to add both fees the bank charged Denise:

A fixed amount of £3

2% of £400 = £8

The total amount the bank charged Denise was £11

5 0
3 years ago
Bryan is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 15 km/h. After
myrzilka [38]

Part A.

What we can do to solve this problem is to assume that the acceleration of Bryan is constant so that the velocity function is linear. The standard form of a linear function is in the form:

y = m x + b

or in this case:

v = m t + b

where v is velocity and t is time, b is the y –intercept of the equation

The slope m can be calculated by:

m = (v2 – v1) / (t2 – t1)

m = (12 – 15) / (7 – 4)

m = -1

Since slope is negative therefore this means the cyclist are constantly decelerating. The equation then becomes:

v = - t + b

Now finding for b by plugging in any data pair:

15 = - (4) + b

b = 19

So the complete equation is:

v = - t + 19

This means that the initial velocity of the cyclists at t = 0 is 19 km / h.

 

Part B. What we can do to graph the equation is to calculate for the values of v from t = 0 to 12, then plot all these values in the Cartesian plane then connect the dots.

6 0
3 years ago
Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f
Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0
3 years ago
ILL MARK BRAINLIEST!
Gre4nikov [31]

Answer:

Median

Step-by-step explanation:

Center of distribution is the middle of a distribution, much like the median. The median of a set of numbers is the number in the middle. Since these two are pretty similar, median would be the best to describe the centers of distribution out of the terms provided.

Edit: I'm leaning towards B.) Both aren't symmetrical

6 0
3 years ago
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