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ollegr [7]
3 years ago
5

Simplifying Ratios 20:10 30:36 54:12

Mathematics
2 answers:
netineya [11]3 years ago
7 0

Answer:

Simplify

1. 20:10 = 2:1

2. 30:36 = 5:6

3. 54: 12 = 18:7

Step-by-step explanation:

Answer for Number 1

The GCF of 20 and 10 is 10

Divide both by the GCF, 10:

20 ÷ 10 = 2

10 ÷ 10 = 1

The ratio 20 : 10 can be reduced t by dividing both terms by the GCF = 10

20 : 10 = 2 : 1

docker41 [41]3 years ago
3 0

Answer:

20:10 is 2:1

30:36 is 5:6

54:12 is 9:2

Step-by-step explanation:

First one is Divide both terms by the GCF, 10:

20 ÷ 10 = 2

10 ÷ 10 = 1

The ratio 20 : 10 can be reduced to lowest terms by dividing both terms by the GCF = 10 :

20 : 10 = 2 : 1

Second is Divide both terms by the GCF, 6:

30 ÷ 6 = 5

36 ÷ 6 = 6

The ratio 30 : 36 can be reduced to lowest terms by dividing both terms by the GCF = 6 :

30 : 36 = 5 : 6

Third is Divide both terms by the GCF, 6:

54 ÷ 6 = 9

12 ÷ 6 = 2

The ratio 54 : 12 can be reduced to lowest terms by dividing both terms by the GCF = 6 :

54 : 12 = 9 : 2

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Roger made a table showing he sleeps 3/8 of a day. How many days will go by before roger has slept the equivalent of one day?
Ludmilka [50]

Answer:

2.66 days

Step-by-step explanation:

We know that a day has 24 hours, so if Roger sleeps 3/8 of a day that means that he sleeps 3/8 • 24 which equals to 9 hours.

Now we want to know how many days it takes Roger to sleep an equivalent of a day if he sleeps 9 hours a day. So:

24 h / 9 h = 2.66 days

Of course we can do it in an easier way, in fractions:

1 : 3/8 = 8/3

8/3 = 2.66 days

6 0
3 years ago
A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent increase/decrease in the number
zalisa [80]

Answer:

12%

Step-by-step explanation:

So in the first year they sold 650 bicycles.

Second year 572.

To find percentage you'll gain the difference 650 - 572 = 78 bicycles. Divide the deficit with initial sales (650).

72/650 * 100 (as we r finding percentage).

Its should give you 12%.

3 0
3 years ago
Read 2 more answers
if Jazzy sells her old bike for $104 and some toys for 68 she uses the money for four month karate lessons the cost of lessons i
Vedmedyk [2.9K]

Answer:

C

Step-by-step explanation:

She sells her bike for 104 dollars

She sells toys        <u>for  68 dollars</u>

Total                             172

The question is a bit ambiguous. There are 4 divisions. So I would assume that you need to divide 172 by 4. If you do that you get 43

I think that what they are getting at is the answer is C. There are 4 months shown. And 1 month would be 43 dollars. She has enough for 3 more months.

7 0
3 years ago
A man that is 6 ft tall casts a shadow that is 4 ft long . He is standing next to a tree that is casting a shadow that is 12 ft
Sunny_sXe [5.5K]

Answer:

The tree is 18ft tall

Explanation:

Shadow = Real

4ft = 6ft(man)

1ft = 1.5ft

Let tree = yft

12 = y

y = 12 × 1.5

= 18ft

(Correct me if i am wrong)

7 0
3 years ago
I really dont understand how to start with this?​
kicyunya [14]

You could determine the quadratic approximation of the curve near x=3 which gives you a good estimate since the function is relatively monotone.

First calculate the second derivative,

f''(x)=\Big(f'(x)\Big)'=\Big(2x+5\sqrt{x}+\dfrac{6}{x^2}\Big)'=2+\dfrac{5}{2\sqrt{x}}-\dfrac{12}{x^3}

Then write down the quadratic approximation,

f(x)\approx f(3)+f'(3)x+\dfrac{f''(3)}{2}\Big(x-3\Big)^2

That yields,

f(x)\approx\boxed{9+6\dfrac{2}{3}x+5\sqrt{3}x+\Big(\dfrac{5}{2\sqrt{3}}-\dfrac{4}{9}\Big)\Big(x-3\Big)^2}

Of course this can be further simplified but its not obligatory.

Hope this helps.

4 0
3 years ago
Read 2 more answers
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