339/3 = 113, the middle number
average is 113 so 111, 113 and 115
The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
<h3>What are the dimensions of the rectangle?</h3>
Perimeter of rectangle is expressed as;
P = 2( l + w )
Given that;
- Perimeter P = 99ft
- Let width w = x
- Length l = 2x
We substitute into the formular above.
P = 2( l + w )
99ft = 2( x + 2x )
99ft = 2x + 4x
99ft = 6x
x = 99ft/6
x = 16.5ft
Width = x = 16.5ft
Length = 2x = 2( 16.5ft ) = 33ft
Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.
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Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
Mick would pay $4.06 in sales tax for an item that costs $58.00.
This can be found by working backwards in the problem. By dividing that sales tax paid (2.94) by the dollars before tax (42), you get a percentage that should equal the percentage of the total paid for tax.
2.94 ÷ 42 = 0.07
This means that the sales tax is 7% of the total prior to tax. So we'd then multiply our dollars (58) with the sales tax in decimal form (0.07)
58.00 × 0.07 = 4.06
Hope I could help!
The value of f(1) = 81
Step-by-step explanation:
For the recursive function, f(n+1) = one-half(n)
Thus, when n = 2,
f(3) = 9
If n = 1,
f(2) = 9×3
f(2) = 27
If n = 0,
f(1) = 27 ×3
f(1) = 81
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