Answer:
New dimensions are; Width = 12m and Length = 12m
Step-by-step explanation:
Let length of rectangle be L
Let width be W
Area of rectangle has a formula;
Area = Length x Width = LW
We are given the area = 144 m²
So,
LW = 144 - - - (eq1)
Now, we are told that width is doubled and length is decreased by 12m but area remains the same.
Thus, we have;
Width as 2W and Length as L - 12.
Area = 2W(L - 12)
So,
2W(L - 12) = 144 - - - (eq2)
Equating eq 1 and 2,we have;
LW = 2W(L - 12)
W will cancel out to give;
L = 2(L - 12)
L = 2L - 24
2L - L = 24
L = 24m
From equation 1, LW = 144
Thus; W = 144/L = 144/24
W = 6m
So new design of rectangle now has a dimension of;
Width = 2W = 2 × 6 = 12m
Length = L - 12 = 24 - 12 = 12m
So, new dimensions are; Width = 12m and Length = 12m
Step-by-step explanation:
the perimeter = 2 ×15 + (π×d)
= 30 + (3.14 ×10)
= 30 + 31.4
= 61.4
<em><u>To </u></em><em><u>find:</u></em>
<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>The</u></em><em><u> </u></em><em><u>value</u></em><em><u> of</u></em><em><u> </u></em><em><u>x</u></em>
<em><u>=</u></em><em><u>></u></em>
<em><u>
</u></em>
<em><u>Now,</u></em><em><u> we'll</u></em><em><u> </u></em><em><u>move </u></em><em><u>-</u></em><em><u>8</u></em><em><u> </u></em><em><u>to </u></em><em><u>the</u></em><em><u> </u></em><em><u>other</u></em><em><u> </u></em><em><u>side </u></em><em><u>i.e </u></em><em><u>the </u></em><em><u>RHS </u></em><em><u>side,</u></em>
<em><u>which</u></em><em><u> </u></em><em><u>results</u></em><em><u> </u></em><em><u>in </u></em><em><u>the </u></em><em><u>change</u></em><em><u> </u></em><em><u>of </u></em><em><u>it's</u></em><em><u> </u></em><em><u>sign(</u></em><em><u>-</u></em><em><u> </u></em><em><u>converts</u></em><em><u> </u></em><em><u>into </u></em><em><u>+</u></em><em><u>)</u></em>
<em><u>=</u></em><em><u>></u></em>
<em><u>
</u></em>
<em><u>Now </u></em><em><u>,</u></em><em><u> we'll</u></em><em><u> </u></em><em><u>add </u></em><em><u>the </u></em><em><u>Numbers</u></em>
<em><u>=</u></em><em><u>></u></em>
<em><u>
</u></em>
<h2><em><u>Hence</u></em><em><u>,</u></em><em><u>-</u></em><em><u>3</u></em><em><u> </u></em><em><u>is </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u>.</u></em></h2>
<em><u>^</u></em><em><u>-</u></em><em><u>^</u></em>
Answer:
she needs to earn at least $200 more to equal $2,700, so
200=x($amount of needed sales) * .06
200/.06=x
$3,333=x is sales needed to meet goal
variable is $ amount of sales needed to earn $2,700 this month.
Commission rate as decimal=.06
Inequality that represents is...
x> or = $3,333