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Ann [662]
3 years ago
10

Luke has $21 more than Rachel and $48 more than Daniel. All together they have $

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0
This can be solve by 3 variable equation
let x be the money of luke
y money of rachel
z money of daniel
first equation
x = y + 21
second equation
x = z + 48
third equation
x + y + z = 168
solving simultaneously
x =79
y = 58
z = 31

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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul
Stella [2.4K]

Answer:  F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.


Explanation:


1) The three expresssions,  F / 0.15;  15 F / 100; 3F / 20; are equivalent.


2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:


  • Call n the amount of figurines owned last year.
  • F is the number of figurines purchased: F  = 15%n = 0,15n
  • Hence, you just need to clear F from the expression F = 0.15n
  • Divide both sides by 0.15:

        F / 0.15 = n or n = F / 0.15 (reflexive property)

  • To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

       (F / 0.15) × (100 / 100) = 100F / 15

        100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

 



4 0
3 years ago
Read 2 more answers
By which smallast number must the following number be divided so that the quotient is a perfect cube
jenyasd209 [6]

Answer:

60

Step-by-step explanation:

8640/60 is 144. 144 is a perfect square. 12*12 is 144

8 0
2 years ago
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if a rectangle has am area of 2x²+11x+15, what would be an expression for the length, and for the width?
lozanna [386]

Answer:

Length = 2x + 5

Width = x + 3

Step-by-step explanation:

Area of rectangle = length × width

Expression for area of the rectangle = 2x² + 11x + 15

Factorising the quadratic expression

2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)

Length = 2x + 5

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2 years ago
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Alex17521 [72]

Answer:

3 = irrational

-1/16 = rational

0 = rational

2 =irrational

7 0
3 years ago
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Easy question
Ira Lisetskai [31]

Answer:

7/16

Step-by-step explanation:

Let the fraction be x/y

(x+5)/(y+5) = 4/7

7x + 35 = 4y + 20

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(x-1)/(y-1) = 2/5

5x - 5 = 2y - 2

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x/y = 7/16

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