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ollegr [7]
2 years ago
7

2 x 1 1/4. Answer this question

Mathematics
1 answer:
kifflom [539]2 years ago
4 0

Answer:

2 × 1 1/4 = 2 1/2

Hope this helps :)

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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
(07.08 LC)
Brut [27]

Answer:

5y

Step-by-step explanation:

10

3 0
2 years ago
Joeff charges 20$ flat rate plus 27$ per hour to work on cars. how many dollars does joeff earn for a 5 hour job?
Ket [755]
Answer is $155 for the job

Step by step

You can use y intercept formula for this one.

Y = mx + b
Y = Dollars earned, what you are looking for.
M= rate per hour (27)
X = hours worked (5)
B = flat rate (20)

y = (27) (5) + 20

y = $155

Problem solved!
7 0
1 year ago
A recipe for cake needs 3/4 if a cup of milk. you are making 1/2 of the recipe.his much milk do you need
r-ruslan [8.4K]
I would say it's 3/8 of a cup because if you multiply 3/4 by 2 it would be 6/8. It's the same amount but just a different measurement. Now just take 3 away from 6/8 and you have 3/8 which is half of 3/4.
4 0
3 years ago
Read 2 more answers
Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains th
yaroslaw [1]
<span>At the top of a ramp, all of the energy of the car is potential: that is, it has yet to be moved but has the ability to move. As the car is sliding down the ramp, the potential energy is being transformed into kinetic energy, which reaches a maximum at halfway down the ramp. After this point, the kinetic energy begins to lessen and the potential energy begins to increase, until the car comes to a full stop, at which point kinetic energy is at zero and the potential energy is again at a maximum.</span>
5 0
3 years ago
Read 2 more answers
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