1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikentia [17]
3 years ago
12

Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currently 40 meters wide and 60 met

ers 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?

Mathematics
1 answer:
vodomira [7]3 years ago
5 0

Answer:

15x^2+380x+2400

The diagram is shown below for reference.

Step-by-step explanation:

We are given the length and width of old pumpkin patch as 60 meters and 40 meters respectively.

It further says length is increased by 5x meters and width increased by 5x meters.

So the length of the new pumpkin patch would be 60+5x meters.

And the width would be 40+3x meters.

We know area of a rectangular shape =length \times width

So, plugging the above values, we get the area of the new pumpkin patch as:

=(60+5x)\times (40+3x)\\=2400+180x+200x+15x^2\\=2400+380x+15x^2\\=15x^2+380x+2400 on rearranging.

Thus the function of the area of the new pumpkin patch would be:

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

You might be interested in
Find each angle measure
Lubov Fominskaja [6]
Part A:<span> What is the mean of the data? Show your work. (4 points)</span>

Part B:<span> Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

</span>
7 0
3 years ago
A rectangular pool is 12 ft wide, 20 ft long and 5 ft
S_A_V [24]

Multiply the 3 dimensions to find the volume, then find 4/5 of the volume by multiplying 4/5 by the volume.

12x5=60

60x20=1,200

I'm gunna convert the 4/5 to decimal to make it easier.

1,200x0.8=960

So there is a total liquid volume of 960(I'm assuming it's ounces).

---

sorry if this doesn't help

6 0
3 years ago
What is the quotient of 4 1/4 / 2 1/5
Snezhnost [94]

The quotient for the given mixed fraction is 1.9318

Step-by-step explanation:

Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction 4\frac{1}{4} we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get \frac{17}{4}. Similarly, we get the improper fraction \frac{11}{5} for converting the mixed fraction 2\frac{1}{5} .

Step 2; After conversion, it's just a matter of division. The fraction \frac{17}{4} equals 4.25 while the denominator \frac{11}{5} equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.

5 0
4 years ago
A sports trainer has monthly costs of $80 for phone service and $40 for his website and advertising. In addition he pays a $15 f
bogdanovich [222]

Answer:

Step-by-step explanation:

The average cost for the training session provided he is a sports trainer can be computed as follows:

Let's assume that;

average cost = C(x)

the no. of session = x

Then:

C(x) = \dfrac{\text{Total cost}}{\text{no. \ of sessions}}

C(x) = \dfrac{\text{80 + 40 + 15x}}{\text{x}}

C(x) = \dfrac{\text{120+ 15x}}{\text{x}}

Now, suppose the trainer wants the average cost C(x) to drop below $16;

Then, we have the following function:

\dfrac{120+15x}{x}\leq C(x)

\dfrac{120+15x}{x}\leq16

By cross multiply:

120 + 15x ≤ 16x

120 ≤ 16x - 15x

120 ≤ x

Therefore, the required no. of session, if the average cost should drop below $16, is 120.

7 0
3 years ago
A plane descended 922.02 meters in 5.5 minutes.<br> What is the plane's rate of descent?
UkoKoshka [18]
The rate of descent is <em>164.64 meters / minute
</em>
<em />
<em />To get this answer you just divide the total number of meters descended by the total number of minutes passed. 
<em>
</em>
So:<em>

</em>
922.02 ÷ 5.5 = 164.64

I hope this helped!! Have an amazing day! :D
7 0
3 years ago
Other questions:
  • You want to embroider a square design. You have an embroidery hoop with a 6 inch diameter. Find the largest value of x so that t
    8·1 answer
  • Yoko has scored 81 , 84 , 84 , 69 , and 76 on her previous five tests. What score does she need on her next test so that her ave
    14·1 answer
  • Tickets to a movie cost $7.25 for adult and $5.50 for students. A group of friends purchased 8 tickets for $52.75. write a syste
    7·1 answer
  • Count by is or 5s write the first five numbers you would count, starting at 15
    8·2 answers
  • The diameter of Melia's bike is 24 inches the circumference of the tire is about..
    15·1 answer
  • A parallelogram with a base of x units and a height of y units is changed
    9·1 answer
  • 4. Twelve nails have a mass of 423 grams. The number of grams per nail is between what 2
    10·1 answer
  • Help please asap it would really be great
    10·2 answers
  • Simplify the Expression:<br> 2m +1<br> 2m - 1<br> 4m<br> )<br> 2m – 1<br> 2m +1<br> 10m - 5
    10·2 answers
  • There are frogs and koi in a pond, and the number of frogs and the number of koi in the pond are independent. Let X represent th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!