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inn [45]
2 years ago
9

A girl's age in 12 years' time is the square of her present age. Find her present age.

Mathematics
2 answers:
SIZIF [17.4K]2 years ago
4 0

Answer:

  4

Step-by-step explanation:

Let x represent her present age. The given relation is ...

  x +12 = x^2

Putting this in standard form, we can factor it:

  x^2 -x -12 = 0

  (x -4)(x +3) = 0

Solutions to this quadratic are x = 4, x = -3. The -3 solution is extraneous in this context.

The girl's present age is 4.

harkovskaia [24]2 years ago
3 0

Answer: her present age is 4

Step-by-step explanation:

Proof: 4+12=16

Square root 4 is 16

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A cashier has a total of 30 bills consisting of ones, fives and twenties. the number of twenties is 5 less than the number of on
Varvara68 [4.7K]

Let us say that:

a = ones

b = fives

c = twenties

 

So that the total money is:

1 * a + 5 * b + 20 * c = 229

=> a + 5b + 20c = 229                                       --> eqtn 1

 

We are also given that:

c = a – 5                                                                --> eqtn 2

a + b + c = 30                                                      --> eqtn 3

 

Rewriting eqtn 3 in terms of b:

b = 30 – a – c

Plugging in eqtn 2 into this:

b = 30 – a – (a – 5)

b = 35 – 2a                                                           --> eqtn 4

 

Plugging in eqtn 2 and 4 into eqtn 1:

a + 5(35 – 2a) + 20(a – 5) = 229

a + 175 – 10a + 20a – 100 = 229

11a = 154

a = 14

 

So,

b = 35 – 2a = 7

c = a – 5 = 9

 

Therefore there are 14 ones, 7 fives, and 9 twenties.

7 0
4 years ago
Simplify the expression:<br> 4(2 + 5q) = 1
JulijaS [17]

Answer:

Step-by-step explanation:

4(2+5q) = 8 + 20q

8 + 20q = 1

20q = -7

q = -7/20

7 0
3 years ago
Find the difference between 1.97 and 20
cestrela7 [59]

Answer:

1.97-20= -18.03

20-1.97= 18.03

Step-by-step explanation:subtract the numbers from each other.

6 0
3 years ago
Given that f(x) = 7x^2 − 84 = 0, find x.
jasenka [17]

Answer:

x = 3.464

Step-by-step explanation:

7x^2 - 84 = 0

7x^2 = 84

x^2 = 12

x= 3.464

8 0
3 years ago
Write the number equal to 2 tens 15 ones
ivann1987 [24]
I believe it's 15, but correct me if I'm wrong
This is because there is one 10 in 15. This gives you 3 tens and 5 in the ones.
6 0
4 years ago
Read 2 more answers
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