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3 years ago

The decimal form 1.46 becomes _______ expressed as a percent.

Mathematics

1 answer:

Ann [662]3 years ago

3 0

146% you either multiply the decimal by 100 or just move the decimal place 2 places to the right

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Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

6 0

3 years ago

So a department store worker gets paid 325.00 per week plus 4% commission of their total sales if the worker sells 3600 of the m

MAXImum [283]

Answer:The amount of commission made is 144

Step-by-step explanation:

The department store worker gets paid 325.00 per week plus 4% commission of their total sales. This means that the worker's earning is not fixed. It varies with the amount of sales made

if the worker sells 3600 of the merchandise, it means that the worker's sales commission will be 4% of 3600 of the merchandise

Sales commission earned by the store worker = 4/100 × 3600

= 0.04 × 3600 = 144

6 0

3 years ago

Please please please help me with this question, this is my third time posting it.

netineya [11]

I wanna say B cause on my calc 1/3x is less steep than g(x) but idk good luck <3

3 0

3 years ago

Tangent line of f(x) = sec x @ (pi/3, 2)

Dmitry_Shevchenko [17]

The derivitive of sec(x) is sec(x)tan(x)

find the slope at pi/3

sec(pi/3)=2
tan(pi/3)=√3

sec(x)tan(x) at x=pi/3 is 2√3

for slope=m and a point is (x1,y1)
the equation is
y-y1=m(x-x1)
slope=2√3
point=(pi/3,2)

equation is
y-2=2√3(x-pi/3)

3 0

3 years ago

Solve: 2n + 3n - 6 = -21

a_sh-v [17]

-21 + 3n = -18 + 2 -6 = -22 . I believe this is right. I hope I made sense, and just pls correct me if I’m wrong!

6 0

3 years ago