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earnstyle [38]
3 years ago
13

Peter won £75 as a prize. He gave 4/5 of the prize money to Roger and Bethan. Roger and Bethan shared the present in the ratio 2

:3. Work out how much they each got.
Mathematics
1 answer:
jeka57 [31]3 years ago
4 0
Roger will get 24 Bethany will get 36
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The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if
Nitella [24]

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = {x}^{2}  + 3x - 6x - 18

Lets factorise the polynomial

=  >  x(x + 3) - 6(x + 3)

=  > (x  + 3)(x - 6)

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = x + 3 = 12 + 3 = 15

Width = x - 6 = 12 - 6 = 6

Area = Length × Width = 15 × 6 = 90

5 0
3 years ago
The quotient of 9 3/4 and 5/8​
rewona [7]

Answer:

15.6

Step-by-step explanation:

The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!

8 0
4 years ago
Read 2 more answers
If x 2 = x + 1, find x 3 , giving your answer in the form ax + b.
GalinKa [24]

Answer:

{x}^{2}  = x + 1 \\ x =  {x}^{2}  - 1 \\  {x}^{3}  =  { ({x}^{2}  - 1)}^{3}  \\  = (x - 1) {}^{3} (x + 1) {}^{3}

4 0
3 years ago
Which is a factor of 91 multiple choice 7 20 4 or 12
ki77a [65]

Answer:

7

Step-by-step explanation:

Recall that a factor is a number that can divide a number and return a whole number as the quotient.

In this case, 91 / 7 = 13

So 7 is a factor

4 0
3 years ago
Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?<br>​
pantera1 [17]

Answer:

A)

Step-by-step explanation:

In the first image, AC=13, and in the second image, DE=26. so basically, every measurement is simply doubled.

12(2)= 24, DE=24

5(2)=10, EF= 10

Let me know if you need further explanation!

8 0
3 years ago
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