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
Kisachek [45]
3 years ago
8

An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row

Mathematics
1 answer:
natima [27]3 years ago
8 0

Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

You might be interested in
Which coordinate pair is in the solution set for y < 1 − 6x?
dexar [7]
As an open ended question there are infinitely many answers.
Graph the line y=-6x+1 and look for an answer that is below/to the left of the line.
4 0
3 years ago
The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. Suppose that V=160
dsp73

Answer:

Volume = 90 cm³

Step-by-step explanation:

Given:

The volume 'V' of a fixed amount of gas is directly proportional to the temperature 'T' and inversely proportional to the pressure 'P'.

Initial volume is, V_1=160\ cm^3

Initial temperature is, T_1=320\ K

Initial pressure is, P_1=12\ kg/cm^2

Final temperature is, T_2=240\ K

Final pressure is, P_2=16\ kg/cm^2

Final volume is, V_2=?

As per question:

V\propto\frac{T}{P}

Therefore,

\frac{PV}{T}=Constant

Or, we can write the above as:

\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\\\\\frac{12\times 160}{320}=\frac{16\times V_1}{240}\\\\6=\frac{V_1}{15}\\\\V_1=15\times 6=90\ cm^3

Therefore, the final volume is 90 cm³.

7 0
3 years ago
What is the range of the following graph?
vlabodo [156]
Range is the set of possible y values. If you look at the end behavior of the function, as x approaches both infinity and negative infinity, y continues to increase in magnitude, meaning that the range is from negative infinity to infinity. the correct answer is B.
6 0
2 years ago
What value of x makes f(x) = -2 if f(x) = 3.4x - 7.1
enyata [817]

Option C

For x = 1.5 we get f(x) = -2

<em><u>Solution:</u></em>

Given function is:

f(x) = 3.4x - 7.1

We have to find the value of "x" so that f(x) = -2

Substitute f(x) = -2 in given function

-2 = 3.4x - 7.1

Solve for "x" by moving the constants to one side and variables to other side

3.4x = -2 + 7.1\\\\3.4x = 5.1\\\\ \text{Divide both the sides of equation by 3.4 }\\\\x = \frac{5.1}{3.4}\\\\x = 1.5

For x = 1.5 we get f(x) = -2

We can verify by substituting x = 1.5 in given function

f(1.5) = 3.4(1.5) - 7.1\\\\f(1.5) =5.1-7.1\\\\f(1.5) = -2

Thus for x = 1.5 we get f(x) = -2

5 0
3 years ago
Elise wrote all possible four-digit numbers using two of the digit 2 and two of the digit 0. Two of Elise’s numbers have a great
Lyrx [107]

Answer:

The required difference is 198.

Step-by-step explanation:

The four digit smallest number using 2,2,0,0 is =2002

The four digit largest number using 2,2,0,0 is =2200

Therefore the difference between 2200 and 2002 is =198

6 0
3 years ago
Other questions:
  • what is the domain of f(x) = ³√x ? a). all real numbers b). positive numbers and zero c). all integers d). whole numbers
    5·2 answers
  • (01.03)
    9·1 answer
  • Ms. Burke invested $53,650, part at 10.5% and the rest at 12%. If the income from the 10.5% investment is one third of that from
    7·1 answer
  • 200 soldiers stand in a straight row.
    5·1 answer
  • Please Help!<br> Will give the brainliest!
    12·1 answer
  • One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 flo
    8·2 answers
  • A bullet travels at 800 m/s. How long will it take the bullet to go 1600 meters?
    11·2 answers
  • Your friend finds the perimeter of the figure. Is your friend correct?
    10·2 answers
  • Can someone help me on this?
    13·1 answer
  • Multiply and write in standard form:<br> (2x + 1)(5x - 2)<br> Show all work for full credit.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!