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Sergio [31]
3 years ago
11

A bag contains white marbles and green marbles, 62 in total. The number of white marbles is 3 less than 4 times the number of gr

een marbles. How many white marbles are there?
Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

There are 49 white marbles.

Step-by-step explanation:

w + g = 62        (w = white and g = green marbles).

w = 4g - 3

w - 4g = -3        Subtract this equation from the first equation:

g - (-4g) =  62 - (-3)

5g = 65

g = 65/5 = 13.

So w = 62 - 13 = 49.

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Answer:

g=\frac{2h}{t^2}-\frac{2v}{t}

Step-by-step explanation:

So we have the equation:

h=vt+\frac{1}{2}gt^2

And we want to solve for g.

First, isolate g. To do so, subtract vt from both sides:

h-vt=\frac{1}{2}gt^2

Multiply both sides by 2:

2h-2vt=gt^2

Now, divide both sides by t^2:

g=\frac{2h-2vt}{t^2}

Expand:

g=\frac{2h}{t^2}-\frac{2vt}{t^2}

Simplify the second term:

g=\frac{2h}{t^2}-\frac{2v}{t}

And we're done!

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What is the decimal equivalent of an 11% increase
valentinak56 [21]

Answer:

0.11

Step-by-step explanation:

You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.

Then you would convert the fraction to a decimal: 0.11.

An easier way could also be to take the percentage and move it two decimal places to the right.

Ex: 43% moved two decimal places to the right would be 0.43.

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3 years ago
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3 years ago
Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial mus
fredd [130]

Answer:

1. 21x⁴+3y-35x² + 41

2. -21x⁴-3y+6x² + x

Step-by-step explanation:

When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.

1. The polynomial is 21x⁴ + 3y -6x² + 34

To obtain polynomial 29x² -7 , we must subtract some polynomial from it.

Let that polynomial be k.

So, 21x⁴ + 3y -6x² + 34 - k =  29x² -7

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