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lana [24]
3 years ago
5

Fiona was thinking of a number. Fiona doubles it, then adds 5 to get an answer of 49.2. What was the original number?

Mathematics
2 answers:
LuckyWell [14K]3 years ago
8 0

Answer:

22.1

Step-by-step explanation:

To find the answer we have to work backward:

We start with 49.2 and have to SUBTRACT 5:

49.2-5=44.2

Next, we must DIVIDE by 2:

44.2/2=22.1

To check our answer we can plug it into the problem:

22.1x2=44.2             44.2+5=49.2

I hope this helps :)

Musya8 [376]3 years ago
4 0
22.1
She added 5 so you take away 5 which would be 44.2 then she doubles it another word for multiplication so you do the opposite and divide by 2 and you get 22.1
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The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>
  • Let the coordinate of A be (x_1,y_1) is (2,7) respectively
  • Let the coordinate of B be (x_2,y_2)
  • And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
  • The mid-point formula is
<h3>M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})</h3>
  • Now substitute the coordinates int he above formula we get
  • (4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})
  • Now equating we get

4=\frac{2+x_2}{2}                    2=\frac{7+y_2}{2}

Multiply by 2 we get                             Multiply by 2 we get  

4(2)=2+x_2                                           2(2)=7+y_2

8=2+x_2                                                4=7+y_2

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

8-2=2+x_2-2                                4-7=7+y_2-7

6=x_2                                                       -3=y_2

Rewritting the above equation      Rewritting the equation

x_2=6                                                      y_2=-3

<h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0
3 years ago
Write rule for following sequence: (3, 12) (1, 2) (2, 7) (4, 17)
Rasek [7]
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6 0
3 years ago
A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly selected jury of 12 people is al
zlopas [31]

Answer:   \dfrac{7}{1,337,220}=5.2\times 10^{-6}

<u>Step-by-step explanation:</u>

Order does not matter so it is a Combination.

There are 14 men and we are going to choose 12 --> ₁₄C₁₂

There are 27 people and we are going to choose 12  --> ₂₇C₁₂

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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we know that

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substitute the given values

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solve for b

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step 2

Find the measure of angle LQR

we know that

m\angle LQR+m\angle MQR=180^o ---> by supplementary angles (form a linear pair)

m\angle MQR=(-3b+63)^o

substitute the value of b

m\angle MQR=(-3(3)+63)=54^o

substitute in the expression above

m\angle LQR+54^o=180^o

m\angle LQR=180^o-54^o=126^o

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