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krek1111 [17]
3 years ago
13

Select the correct answer. Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currentl

y 40 meters wide and 60 meters long. The new pumpkin patch will be 3x meters wider and 5x meters longer than that of the original pumpkin patch. Which of the following functions will give the area of the new pumpkin patch in square meters? A. f(x) = 15x2 + 420x + 2,400 B. f(x) = 15x2 C. f(x) = 15x2 + 2,400 D. f(x) = 15x2 + 380x + 2,400
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

Option D

f(x)=15x^{2}+380x+2400

Step-by-step explanation:

Original dimensions are as follows

Length=60 m

Width=40 m

Area=60*40=2400 m^{2}

New dimensions

Length=(60+5x) m

Width=(40+3x) m

Area=(60+5x)\times (40+3x)

Area=60(40+3x)+5x(40+3x)=2400+180x+200x+15x^{2} and collecting like terms we obtain

Area=15x^{2}+380x+2400

Therefore,

f(x)=15x^{2}+380x+2400

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WILL MARK BRAINLY what fraction is equal to 0.63 repeating
DanielleElmas [232]

Answer:

711

Step-by-step explanation:

4 0
2 years ago
Simplify 2/√5
Arada [10]
The answer would be 2√5/5

As a rule, you cannot have any radical as a denominator. That's why you gotta multiply √5 with √5 which would be √25. The square root of this is 5, and now you have disposed of the radical! Hurray. However, keep in mind, that when you multiply √5, you also multiply it to the numerator. So, yeah, after this, you get the answer.

Hopefully, my explanation makes sense. :)
4 0
3 years ago
The sum of two numbers is 11. The sum of their squares is 65. Find the numbers. (How do you get the answer?)
Stels [109]
X is the number
<span>The sum of two numbers is 11, so other number is : 11 - x

</span><span>The sum of their squares is 65
</span>
x^2 + (11 - x)^2 = 65
x^2 + 121 - 2(x)(11) + x^2 = 65
2x^2 - 22x + 121 = 65
2x^2 - 22x + 121 -  65 = 0
2x^2 - 22x + 56 = 0
2(x^2 - 11x + 28) = 0
2(x - 7)(x -4 ) = 0
x - 7 = 0
x = 7

x - 4 =0
x =4

answer: the numbers are 4 and 7

double check:

<span>sum of two numbers is 11:
4 + 7 = 11

</span><span>The sum of their squares is 65
</span><span>4^2 + 17^2 = 16 + 49 = 65

</span>
7 0
3 years ago
1:
myrzilka [38]
<h2>1:</h2>
  • 100 ounces = 6.25 pints
  • A mile unit is equal to 1760 yards.                                                      inches =mile  * 63360                                                                                              2*63360=126720

       2 Miles = 126720 Inches

  • There are 36 inches in a yard

       3600/36= 100

       3600 inches = 100 yards

  • 1 m = 1/1000 km

       6800/1000 = 6.8

       6800 m = 6.8 km

  • 1 m = 100 cm

        15000/100=150

         15000 cm=150 m

2:

a) Johnson ran  yard in second= 9

     1 minute = 60 second

    Johnson ran yard in one minute=  9 *60= 540 yards

b) Johnson ran  yard in second= 9

     1 hour = 60 minutes *60 second= 1200 seconds

    Johnson ran yard in one hour=  9 *1200= 10,800 yards

c) Johnson ran yard in one hour=  9 *1200= 10,800 yards

   1 mile = 1760 yards

   miles did he run in one hour= 10,800 / 1760 =6

   Johnson ran 6 mile in one hour

5 0
3 years ago
Eric and his two sister shared amount of money in ratio2:7 respectively. If Eric had 300.00 and the remaining amount shared equa
photoshop1234 [79]

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

7 0
2 years ago
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