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igor_vitrenko [27]
3 years ago
5

Kayleigh and Rachel each buy clothes in a sale. Kayleigh's clothes normally cost £50 butterflies had £5 off. Rachel's clothes no

rmally cost £20 but had £3 off. Whose clothes had the bigger percentage discount
Mathematics
1 answer:
Sedaia [141]3 years ago
6 0
Kayleigh's I believe
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Sam tested every 50th candy bar from the assembly line to make sure there were enough peanuts in each bar. He found 15% did not
Vlad [161]
I think the answer is B
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3 years ago
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Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei
Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points (x_1,y_1) and (x_2,y_2) is given by the formula

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

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

<u>In case of KM:</u>

(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)

Putting the values in the formula for slope

m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3

<u>In case of ST:</u>

<u></u>(x_1,y_1) = (12,14)\\(x_2,y_2) = (20,-10)<u></u>

Putting the values in the formula for slope

m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0
3 years ago
Match each function with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.
laila [671]

Answer:

To match each functions with the corresponding function formula when h(x) = 5 - 3x and g(x) = -3 x + 5.

1. k(x) = (3h - 5g)(x)

  = = 3(5 - 3x)-5(-3 x + 5)

 = = 15 - 9x + 15x - 25

  K(x) = -10 + 6x

2.  k(x) = (h - g)(x)

    = = (5 - 3x) - (-3 x + 5)

 = = 0

k(x) = 0

3. k(x) = (5g + 3h)(x)

 = = 5(-3 x + 5)+3(5 - 3x)

 = = -15x + 25 + 15 - 9x

 k(x) = - 24x +40

4. k(x) = (3g + 5h)(x)

  =  = 3 (-3 x + 5) + 5(5 - 3x)

 = = -9x + 15 +25 -15x

 k(x) = -24x + 40

5.  k(x) = (g + h)(x)

   = = (-3 x + 5) + (5 - 3x)

k(x)  = -6x + 10

6.  k(x) = (5h - 3g)(x)

 = = 5(5 - 3x) - 3(-3 x + 5)

= =25 - 15x + 9x - 15

k(x) = 10 - 6x

6 0
4 years ago
A rectangle has a perimeter of 30 feet and an area of 50 square feet. What are the dimensions of the rectangle.
KiRa [710]

I believe the shorter sides are 5 feet and the longer ones are 10. This is because when you add up the two shorter sides as 10, and the other two as 20, then add them up to 30. That's the perimeter. For the area, you would do 10•5 to get 50 for the area

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16% × 65 = 10.4

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