answer.
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
Gala2k [10]
2 years ago
13

A farmer has a rectangular field with dimensions $2m+7$ and $m-2$. If the field has an area of 51 square units, what is the valu

e of $m$?
Mathematics
2 answers:
Ilya [14]2 years ago
5 0
Area is given by the formula
  Area = length*width
Filling in the given information, we have
  51 = (2m+7)*(m-2)
  2m² +3m -65 = 0
  (m -5)(2m +13) - 0
  m = -13/2 or 5
Since dimensions of physical objects are non-negative, the value of m is 5.
bekas [8.4K]2 years ago
3 0

m = 5 because if you create an equation you get 2m^2 + 3m - 65 = 0 then you factor find the two roots and take the positive one and viola your answer is 5


You might be interested in
3 (n - 1) + 2 (n + 2)
Vikentia [17]
3n - 3 + 2n + 4
(3n + 2n) + (-3 + 4)
5n + 1
5 0
2 years ago
Read 2 more answers
Frans filing cabinet is 6 feet tall 1 1/3 feet wide and 3 feet deep. She plans to paint all sides except the bottom of the cabin
aleksley [76]
Well you are look at a 3d image here 
so if area is length times width then we need to find the area of every side of the cabinet and add it up     
11/3 on the calculator is 3.66666667 sooooo....
top: 3 x 11/3 = 11
side 1: 3 x 6 = 18
side 2: 3 x 6 = 18 
front: 6 x 11/3 = 22
back: 6 x 11/3 = 22
so we have all of our measurements:)
now we just add them up together. 
11+18+18+22+22= 91!!
so Frans would have to paint 91 square inches of that cabinet:) hope i helped
6 0
2 years ago
A price was increasing at a rate of 15% per month what is the annual growth rate enter your answer rounded to the nearest tenth
Leokris [45]
Hello there! I can help you! The formula for finding the annual growth rate is (1 + r)^t. In other words, you add the rate in decimal form from 1 and raise it to the t power, depending on how many times it is compounded. 15% is 0.15 in decimal form. 1 + 0.15 is 1.15. We have that number. Now, we are looking for the annual growth rate. It increases monthly, annual has to do with 1 year, and there are 12 months in 1 year. Now, let's raise 1.15 to the 12th power. 1.15^12 is 5.350250105. Don't delete it. We can subtract 1 from that number to get 4.350250105. Now, let's multiply it by 100 to get the answer in percent form. When you do, you get 435.0250105 or 435 when rounded to the nearest tenth, because there is a 0 in the tenths place. We can subtract There. The annual growth rate is about 435%.
7 0
2 years ago
Read 2 more answers
The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,00
valentinak56 [21]

Answer:

0.0013

Step-by-step explanation:

To do this, we need to use a normal distribution table with Z score values, like the one I'm attaching here.

Now, the expression to calculate the Z value is the following:

Z = x - μ / (σ/√n)

Where:

μ: mean

σ: standard deviation

x: value required

n: sample population

Now that we have the data, let's calculate the Z value:

Z = 66,000 - 60,000 / (4000/√4)

Z = 3

Now, let's look at the table to get the value that belongs to this Z score. According to the table, it's 0.0013

Therefore, the likelihood would be 0.0013

3 0
2 years ago
Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest
Amiraneli [1.4K]
Interest = principle * rate * time...
I = PRT...we are going to rearrange this because we are looking for the principle...

I / (RT) = P
I = 22.40
R = 2.8%...turn to a decimal = 0.028
T = 1

sub and solve
22.40 / (0.028(1) = P
22.40 / 0.028 = P
800 = P....amount of original deposit is $ 800 <==

3 0
2 years ago
Read 2 more answers
Other questions:
  • It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impa
    15·2 answers
  • Which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? Explain your reasoning.
    17·2 answers
  • Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
    12·2 answers
  • Park officials make predictions of times to the next eruption of a particular​ geyser, and collect data for the errors​ (minutes
    9·1 answer
  • The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In
    11·1 answer
  • What is the area of this tile 4in 1in
    13·1 answer
  • Wyatt went to soda city to get vegetables for herself and her friends. She collected $30 and boxes are $10 each. Fill in the equ
    5·1 answer
  • Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be
    7·2 answers
  • Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He pick:
    11·1 answer
  • The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!