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Lesechka [4]
2 years ago
14

Hugo works in a shop.

Mathematics
2 answers:
slava [35]2 years ago
6 0

Answer:

£111

Step-by-step explanation:

Money earned on saturday: 9*7=63

Money earned on sunday:4*9*1\frac{1}{3}=48

48+63=111

plz mark branliest

Sphinxa [80]2 years ago
6 0

Answer: he earned the sum of £132.00 that weekend.

Step-by-step explanation:Hugo is being paid 1(1/3) of his normal pay for over time in weekend . But his normal is £9.00 per hour.

On Saturday he worked 7 hrs , so his pay = 1(1/3) * £9.00 * 7 hrs

= £84.00

On Sunday he worked four(4) hours.

His pay = 1(1/3) * £9.00 * 4 hrs

= £48.00

Hostel earning for the weekend is ,

= £48 + £84

=£132.00

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Just this please helppp
Murrr4er [49]

The height of the <em>water</em> depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.

<h3>How to derive equations for periodical changes in time</h3>

According to the two cases described in the statement, we have clear example of <em>sinusoidal</em> model for the height as a function of time. In this case, we can make use of the following equation:

h = a + A · sin (2π · t/T + B)     (1)

Where:

  • a - Initial position, in meters.
  • A - Amplitude, in meters.
  • t - Time, in hours or seconds.
  • T - Period, in hours or seconds.
  • B - Phase, in radians.

Now we proceed to derive the equations for each case:

Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):

A = (20 m - 8 m)/2

A = 6 m

a = 14 m

Phase

20 = 14 + 6 · sin B

6 = 6 · sin B

sin B = 1

B = π/2

h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.

Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):

A = (40 m - 2 m)/2

A = 19 m

a = 21 m

Phase

2 = 21 + 19 · sin B

- 19 = 19 · sin B

sin B = - 1

B = - π/2

h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.

Lastly, we proceed to graph each case in the figures attached below.

To learn more on sinusoidal models: brainly.com/question/12060967

#SPJ1

5 0
1 year ago
What is the location of point g, which partitions the directed line segment from d to f into a 5:4 ratio? a number line goes fro
Zarrin [17]

Using proportions, according to the ratio of the partition, it is found that the location of point g is at 3.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, point g partitions the directed line segment from d to f into a 5:4 ratio, hence:

g - d = \frac{5}{9}(f - d)

We have that d = -2 and f = 7, hence:

g - d = \frac{5}{9}(f - d)

g + 2 = \frac{5}{9}(7 + 2)

g + 2 = 5.

g = 3.

More can be learned about proportions at brainly.com/question/24372153

#SPJ4

4 0
2 years ago
Simplify to create an equivalent expression. \qquad{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)
maw [93]

Answer:

  54y² +255y +300

Step-by-step explanation:

Such an expression is simplified by eliminating parentheses and combining like terms.

<h3>Eliminate parentheses</h3>

Taking the given expression at face value, we have ...

  {2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)

  = {6y +12 +12 +3y}(6y +12) +12 +3y

  = (9y +24)(6y +12) +12 +3y

  = (9y)(6y +12) +24(6y +12) +12 +3y

  = 54y² +108y +144y +288 +12 +3y

<h3>Combine like terms</h3>

  = 54y² +(108 +144 +3)y +(288 +12)

  = 54y² +255y +300

8 0
1 year ago
What is the midpoint of a line segment with endpoints at<br> (-3.5, -2.1) and (5.7,3.3)?
Tanzania [10]

Answer:

(1.1 , 0.6)

Step-by-step explanation:

midpoint (x , y): ( x+x') /2 , (y+y') / 2

x = (-3.5 + 5.7) / 2 = 2.2 / 2 = 1.1

y = (-2.1 + 3.3) / 2 = 1.2 / 2 = 0.6

8 0
3 years ago
The scale on a roadmap is listed as 1 inch= 80 miles. On the map, Belleville and San Jose are 1.5 inches apart. What is the actu
Lunna [17]
1 inch = 80 miles
Half of an inch = 40 miles

80 miles + 40 miles = 120 miles.
1 + 0.5 = 1.5 inches.

The answer is 120 miles
5 0
2 years ago
Read 2 more answers
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