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ELEN [110]
3 years ago
6

2/3 to 3/2 ratio in simplest form

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

2/3 : 3/2 = 4 : 9

Step-by-step explanation:

LCD(2/3, 3/2) = 6

2/3 : 3/2 = 4/6 : 9/6

Our two fractions now have like denominators so we can multiply both by 6 to eliminate the denominators.

2/3 : 3/2 = 4 : 9

The GCF of 4 and 9 is 1

Divide both terms by the GCF, 1:

4 ÷ 1 = 4

9 ÷ 1 = 9

The ratio 4 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

Therefore:

2/3 : 3/2 = 4 : 9

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If m>BFC = 8x+13 and m
deff fn [24]

Answer:

12x - 73

Step-by-step explanation:

DFE + CFD = 12x + 7

DFE + 90 = 12x + 7

DFE = 12x + 7 - 90

DFE = 12x - 83

therefore

DFE = AFB ( vertically opposite angles are equal)

AFB = 12x - 83

7 0
2 years ago
I invest £2,000 at a rate of 5% compound interest. I leave the amount 5 years. How much will I have after 5 years?​
Lubov Fominskaja [6]

Answer:

£10,000 at a rate of 5%

5 0
3 years ago
Read 2 more answers
A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs
Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current  = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}

We know, \text{Time} = \frac{\text{Distance}}{\text{Speed}}

According to the question,

\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}

Taking LCM and 6 common

6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}

Take 6 to another side,

\frac{9}{9x-x^2}=\frac{8}{3\times 6}

Cross multiply,

9\times 18=8\times(9x-x^2)

162=72x-8x^2

Taking 4 common and cancel out

4x^2-36x+81=0

Solve quadratic equation by middle term split,

4x^2-18x-18x+81=0

2x(2x-9)-9(2x-9)=0

(2x-9)(2x-9)=0

\Rightarrow 2x-9=0

\Rightarrow x=\frac{9}{2}=4.5

Therefore, The speed of the river's current is 4.5 km/hr.

6 0
3 years ago
The sum of what integer and 181 is equal to -236?
slavikrds [6]

Answer:

<h2>- 417</h2>

Step-by-step explanation:

n - integer

The sum of n and 181 is equal to -236:

n + 181 = -236              <em>subtract 181 from both sides</em>

n + 181 - 181 = -236 - 181

n = -417

6 0
3 years ago
How to divided by square root
pentagon [3]
Set up a fraction use one radical sign divide the radicans simplify if neccessary 

8 0
3 years ago
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