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mixer [17]
3 years ago
9

Farmer Joe has his horses in a rectangular pen. The length of the pen is 10 feet longer than three times its width. The total fe

nce that surrounds the garden is 820 feet. What is the width of the garden? PLS SHOW UR WORK!!
Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

The width of the garden is 100 feet.

Step-by-step explanation:

The formula for the perimeter of a rectangle is 2(L+W) where L = length and W = width.

Since we know the perimeter (the fence that surrounds the garden) is 820 feet and the length of the pen is 10 feet longer than 3 times its width, we can set an equation and solve for the width:

L = 10 + 3W

So substitute 10 + 3W for L in the equation:

2[(10 + 3W) + W) = 820

2(10 + 4W) = 820

10 + 4W = 410

4W = 400

W = 100

Therefore, the width of the garden is 100 feet.

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Let x=the smallest integer, x+1=the second smallest, x+2=the greatest.
x+x+1+x+2=141
3x+3=141
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46 is the smallest integer
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I think (4x13)+1 I'm just guessing Hope helps;)

Step-by-step explanation:

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What is 194x750 in standard form<br>​
Reil [10]

Answer:

145.5x10 3

Step-by-step explanation:

145.5x10 raise to the power of 10

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Please help.
Charra [1.4K]

Answer:

Since we have a 30° - 60° - 90° triangle, we can calculate any side by knowing at least one out of three:

Since the length of the hypotenuse is twice as long as the shorter leg, we have:

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Since the length of the longer leg is equal to the length of the shorter leg

multiply by square root of 3 we have:

The length of the longer leg is: 12.5 × √3 ≈21.65

=> The perimeter of the triangle is: 25 + 12.5 + 21.65 = 59.15

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2 years ago
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Mary pays income tax according to the graduated schedule shown below. A 3-column table with 6 rows. Column 1 is labeled If taxab
Katarina [22]

Answer:

$13564

Step-by-step explanation:

\left|\begin{array}{c|c|c}$If taxable&& \\$income&&\\$ is over&$but not over&$the tax is\\---&---&---\\$0 &7,825 &$10\%  of the amount over 0\\7,825 &31,850 &$782.50 plus $15\% $ of the amount over 7,825$ \end{array}\right|\left|\begin{array}{c|c|c}31,850 &77,100 &$4,386.25 plus 25\%  of the amount over 31,850 \\77,100 &160,850 &$15,698.75 plus 28\%  of the amount over 77,100\end{array}\right|

\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\%  of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\%  of the amount over 349,700\end{array}\right|

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

=$13564.25

=$13564 (to the nearest dollar)

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3 years ago
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