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tester [92]
2 years ago
6

Nelly works part-time in a shop to

Mathematics
1 answer:
zaharov [31]2 years ago
3 0

Using proportions, Nelly's total pay for last week was of £220.

<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. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From Monday to Friday, she worked 17 hours, hence:

  • For 15 hours, she was paid £8 per hour.
  • For the last 2 hours, she was paid £10 per hour.

On Saturday, she worked 5 hours, and was paid £16 per hour.

Hence her total payment is found as follows:

15 x 8 + 2 x 10 + 5 x 16 = £220.

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

#SPJ1

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The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is
marysya [2.9K]
Comment
If C lies on AB Then it must be the midpoint of AB because CD is the Perpendicular Bisector of AB

Midpoint
A(2,3) B(8,1)
Midpoint formula = (x1 + x2)/2 + (y1 + y2)/2
Midpoint = (2 + 8)/2 + (3 + 1) / 2 
Midpoint = 10/2 + 4/2
Midpoint = (5,2) <<<<< answer


Slope AB
slope = (y2 - y1)/(x2 - x1)
slope = (3 - 1) / (2 - 8)
slope = 2/-6 = -1/3

Slope CD
CD_slope * AB_slope = - 1
CD_slope * -1/3 = -1 multiply both sides by - 3
CD_slope * 1 = - 1 * -3
CD_slope = 3   <<<<< Slope CD Answer

Equation CD
Given the midpoint of AB which is C( and the slope of CD
y = 3x + b
2 = 3*5 + b
b = - 13
Equation y = 3x - 13

Using Distance to get D
d^2 = (x1 - x2)^2 + (y2 - y1)'^2 
d^2 = (x2 - 5)^2 + (y2 - 2)^2
y2 = 3*x2 - 13
10 = x2^2 - 10x2 + 25 + (3x2 - 13 - 2)^2
10 = x2^2 - 10x2 + 25 + (3x2 - 15)^2
10 = x1^2 - 10x2 + 25 + 9x^2 - 90x2 + 225
10 = 10x2^2 - 100x2 +250
0 = 10x2^2 - 100x2 + 240 Divide through by 10
0 = x2^2 - 10x^2 + 24
0 = (x2 - 6)(x2 - 4)
 
x2 = 6 or
x2 = 4

Using y2 = 3x - 13
for x2  = 4
then y2 = 3(4) - 13
y2 = - 1

for x2 = 6
y2 = 3*6 - 13
y2 = 5

Possible Answers  for D
D = (4,-1)
D = (6,5)

I've included a graph to show a graphical solution. 

Please note in a week's time, if no one else answers, you can award a Brainly. This question took over an hour. If someone else answers, please choose one of us.

7 0
3 years ago
If 64x=82, what is the value of x?<br> Round your answer to three places.
labwork [276]

Answer:

1.28

Step-by-step explanation:

First, you need to do 82/64, which will give you just x. Then, you need to round to three places. Without rounding it would be 1.28125

So with rounding it would be 1.28. Hope this helps and Happy learning!

3 0
3 years ago
In 1989 the population of Arizona was 3,622,184. In 1999 the population was 4,778,332. What is the percent of change from 1989 t
kodGreya [7K]
Answer- 31.9%

3,622,184 =100%
4,778,332= x
Criss cross
477,833,200= 3,622,184x
Divide to get x alone
X= 131.9
131.9 - 100= 31.9%
Because it asks for the change
6 0
3 years ago
Write to fractions between 8/10 and 5/4​
Sever21 [200]

40/40

8x5=40

10x4=40

I really hope this answer helps you out! It makes my day helping people like you and giving back to the community that has helped me through school! If you could do me a favor, if this helped you and this is the very best answer and you understand that all of my answers are legit and top notch. Please mark as brainliest! Thanks and have a awesome day!

4 0
3 years ago
What does n equal in 2n+33
lana66690 [7]
N= -16.5

Subtract 33 then divide by 2
2n=-33
n=-33/2 or n=-16.5
4 0
3 years ago
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