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Masja [62]
3 years ago
7

Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of

the remaining toys. She has 6 toys left. How many toys did Kim have to begin
Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

30

Step-by-step explanation:

Work backwards:

  • 6 is 3/5 of a number, and that number is 10
  • 10 is 1/3 of a number, and that number is 30

Check your work:

  • 2/3 of 30=20 toy to Sarah
  • 30-20=10 toys left
  • 2/5 of 10=4 toys to Ryan
  • 10-4=6 toys left
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Use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Leya [2.2K]

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

f(x)=5x+2 \\g(x)=3-x

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17

Now finding f(g(-1)) by putting x=-1

f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1

Now finding g(f(-1)) by putting x=-1

g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6

So, g(f(-1))=6

4 0
3 years ago
Directions:Simplify the following monomials.SHOW ALL STEPS!
Mandarinka [93]

Answer:

<u>7. Ans</u>;

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<u>8. Ans</u>;

\frac{ - 20 {x}^{3}  {y}^{2} }{ - 5 {x}^{3}y }  =  \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y }  = 4y

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<u>9. Ans</u>;

\frac{ - 16 a {b}^{4}  }{4 {b}^{3} }  =  \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} }  =  - 4ab

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<u>10. Ans;</u>

\frac{21 {m}^{8}  {n}^{5} }{27 {m}^{5} {n}^{4}  }  =  \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n)  }{3 {m}^{5} {n}^{4}(9)  }  =  \frac{7 {m}^{3}n }{9}

___o___o___

<u>11. Ans;</u>

\frac{ - 15 {x}^{5}  {y}^{4} }{45x {y}^{3} }  =  \frac{ 15x {y}^{3} ( -  {x}^{4} y)}{15x {y}^{3}(3) }  =  -  \frac{ {x}^{4}y }{3}

___o___o___

<u>12.Ans;</u>

\frac{7 {p}^{2}  {q}^{2} }{14 {p}^{2} {q}^{2}  }  =  \frac{7 {p}^{2} {q}^{2}  }{7 {p}^{2} {q}^{2} (2) }  =  \frac{1}{2}  = 0.5

I hope I helped you^_^

7 0
3 years ago
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9 yards total because the quarterback didnt gain any yards during the second play
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How many batches of the recipe did the chef make
Artyom0805 [142]

The answer is 6 batches



it is because 2 + 3 = 5

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hope it helps :P

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3 years ago
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Aleks04 [339]
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7 0
3 years ago
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