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myrzilka [38]
3 years ago
8

Jose is now six years older than John. In two years, Jose will be twice as old as John. How old is John now ?

Mathematics
1 answer:
sammy [17]3 years ago
7 0
John is currently 6 years old. 

You can find this by setting John's original age as x and Jose's original age as x + 6. Then we can set up an equation adding two to both. 

John's new age = x + 2
Jose's new age = x + 8

Now we can multiply John's new age by two and set equal to Jose's age, since Jose's new age is twice as much as John's. 

2(x + 2) = x + 8
2x + 4 = x + 8
x + 4 = 8
x = 4

This means John's original age is 4 and his new age is 6. 
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A trumpet has a length of 140cm. The first valve lowers the root note by two semitones (f1/f0 = 2-2/12) and the second valve low
Alexxandr [17]

Answer:

a.  17.145cm

b. 8.325cm

c. 0.846

d. 2.896

Step-by-step explanation:

It is known that frequency is inversely proportional to length.

Case 1: The player presses only the first valve.

f₁/fo = 2^{-2/12} = lo/l₁

given that lo= 140cm.

l₁ = 2^{2/12}lo = 157.145

change in length:

l₁ - lo = 157.145 - 140 = 17.145cm

Case 2: The player presses only the second valve.

f₂/fo = 2^{-1/12} = lo/l₂

l₂ = 2^{1/12}lo = 148.325cm

l₂  - lo= 148.325-140 = 8.325cm

Case 3: The player presses both the first and second valve.

Change in length is the sum of change in length when they are individually pressed.

l₃ - lo = 17.145+8.325 = 25.47cm

l₃ = 25.47cm+lo = 165.47cm

f₃/fo  = 2^{-n/12} = lo/l₃

f₃/fo = 2^{-n/12} = 140/{165.47 = 0.846

2^{-n/12} = 0.846\Rightarrow n/12 = -log(0.846)/log(2) = 0.2413

n = 0.2413*12 = 2.896

5 0
3 years ago
Does anyone know the answer
kirza4 [7]

Answer:

t = 1

Step-by-step explanation:

16 - 2t = t + 9 + 4t; move numbers and t's

-16           -16        ; subtract 16 from both sides

-2t = 5t -7             ; subtract -5t from both sides

-5t    -5t

--------------

-7t = -7                  ; divide by -7

t = 1

3 0
3 years ago
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What is the value of y?<br><br> A. y = -1<br> B. y = 0<br> C. y = 1<br> D. y = 3
luda_lava [24]

KT is twice the length of TM.

Multiply TM by 2:

TM = 2y +6

Now set KT and TM to equal and solve:

5y +3 = 2y +6

Subtract 3 from each side:

5y = 2y +3

Subtract 2y from each side:

3y = 3

Divide both sides by 3:

y = 3/3

y = 1

The answer is C.

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DerKrebs [107]

There are 30 diamonds in total.

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gogolik [260]

Answer:

No, a reasonable estimate is around 6 times $7 = $42

Step-by-step explanation:

$6.99 is rounded up to 7, and there are 6 people who ordered a $7 meal. And 6 times 7 is 42

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