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Mandarinka [93]
4 years ago
6

Ken has a rectangular shaped vegetable garden that is 15 feet by 9 feet. He would like to increase the length and width by the s

ame amount, x, so the new garden is twice the current area. Find the value of x to the nearest tenth of a foot feet.
Mathematics
1 answer:
tigry1 [53]4 years ago
8 0

The current area is 15 x 9 = 135 square feet.

He wants to increase both the length and width by X:

Set up an equation:

(15 +x) * (9 +x) = 135 * 2

Simplify :

x^2 + 24x  +  135 = 270

Subtract 270 from both sides:

x^2 + 24x - 135 = 0

Use the quadratic formula to solve for x:

-24 +/- √(24^2 - 4(1*-135) / 2*1

x = 4.7 or -28.7

The answer has to be a positive value, so x = 4.7 feet.

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Ok so 3cm/1m so 25 m times 3 cm is the answer so the answer is 75 cm

8 0
4 years ago
Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He
charle [14.2K]

Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = \frac{30}{100}x=0.3x = 0.3x

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = \frac{30}{100}x=0.3x

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal  30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = \frac{15}{100}x=0.15x

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400

Hence Chan's Bonus amount was $2400.

7 0
4 years ago
the spoke of a wheel reaches from the center of the wheel to its rim. If the circumstances of the rim of the wheel is 42 inches,
jekas [21]
The spoke of the wheel serves as the radius of the circle. 
To solve for the circumference of the circle, we use this formula:

C = 2πr
42 inches = 2 * 3.14 * r
42 inches = 6.28 * r
42 inches / 6.28 = r 
6.69 inches = r

The length of each spoke is 6.69 inches.
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3 years ago
there are 11 apples in a basket 7 of these apples are green the rest of them are red what is the ratio of all apples in the bask
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The ratio is 4:7 because since the ratio is red apples to green apples theirs 4 red apples and theirs 7 green 
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Answer:

Step-by-step explanation:

The length of an injected-molded plastic case that holds tape is normally distributed with a mean length of 90.2 millimeters and a standard deviation of 0.1 millimeters. a. What is the probability that a part is longer than 90.3 millimeters or shorter than 89.7 millimeters

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