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Dafna1 [17]
2 years ago
14

Referring to the figure, find the value of x

Mathematics
1 answer:
pychu [463]2 years ago
3 0

Answer:

I HOPE IT WILL HELP YOU.....

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Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
jonny [76]

Answer:  The answer is 400  blue marbles.


Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,

and number of blue marbles is

n_b=560-364=196.

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.

Thus, 400 blue marbles need to be added to the bag.


5 0
3 years ago
Read 2 more answers
How many faces does a square pyramid have? three four five six
andrew-mc [135]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
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9.296 times 10 to the 7th power in standard form
Volgvan
The answer is 9,2960000
6 0
2 years ago
Tanner cycled 8 miles in 20 minutes .What is the constant of proportionality based on the situation
solmaris [256]

The constant of proportionality based on the situation is 0.4

Step-by-step explanation:

Tanner cycled 8 miles in 20 minutes

We need to find the constant of proportionality based on the situation

1. The distance is proportion to the time, because the distance and

   the time increased together

2. If the distance d and the time is t, then d ∝ t

3. The equation of the direct proportion is d = k t, where k is the

    constant of proportionality

∵ d = k t

∵ d = 8 miles

∵ t = 20 minutes

- Substitute these values in the equation above

∴ 8 = k (20)

- Divide both sides by 20

∴ k = 0.4

The constant of proportionality based on the situation is 0.4

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

7 0
3 years ago
Which ratios are equivalent ratios for 10/20
Marina CMI [18]
It’s equal to 1/2 in simplest form
5 0
3 years ago
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