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
Whitepunk [10]
3 years ago
9

There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an av

erage of $300 for each Douglas fir and $225 for each Ponderosa pine. if the company paid $217.500 for the trees, how many of each kind did the company buy?
Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

350 Douglas fir, 500 Ponderosa pine

Step-by-step explanation:

 Let f = the number of fir trees

and p = the number of pine trees.

Then, we have two conditions:

(1)                                f + p = 850

(2)                  300f + 225p = 217 500

(3)                                    p = 850 -f         Subtracted f from each side of (1)

(4)       300f + 225(850 - f) = 217 500     Substituted (3) into (3)

      300f + 191 250 - 225f = 217 500     Distributed 225

                    75f + 191 250 = 217 500     Distributed the 7

                                    75f = 26 250      Subtracted 191 250 each side

(5)                                     f = 350

                             350 + p = 850           Substituted (5) into (1)

                                        p = 500          Subtracted 350 from each side

The company bought 350 fir trees and 500 pine trees.

Check:

(1) 350 + 500 = 850     (2) 300 × 350 + 225 × 500 = 217 500  

              850 = 850                  105 000 + 112 500 = 217 500

                                                                   217 500 = 217 500

OK.

You might be interested in
What is the standard form of the equation of the circle x^2 - 2x + y^2 - 8y + 8 = 0?
lesantik [10]

Answer:

Step-by-step explanation:

Begin by grouping the x terms and the y terms together and separating the constants out.

(x^2-2x)+(y^2-8y)=-8

Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:

(x^2-2x+1)+(y^2-8x+16)=-8+1+16

Doing this gives us the perfect square binomials for each of the x and y terms, and then gives us the radius on the right:

(x-1)^2+(y-4)^2=9

This is a circle with a center of (1, 4) and a radius of 3.

4 0
2 years ago
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Ede4ka [16]

Answer:

x = 3

Step-by-step explanation:

both angles together equal 180

Set your formula as

180 = 5x + 165

180 - 165 = 5x

15 = 5x

15/5 = x

3 = x

4 0
2 years ago
Read 2 more answers
Tameka is seeking a loan with a simple interest rate of 8% per year. If she wants to borrow $5,000, then how much will she be ch
prisoha [69]

Answer:

$800

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the answer when you evaluate n + m -2(m-m) when m = 3 and n = 2?
Effectus [21]

Answer:

5

Step-by-step explanation:

n + m -2(m-m)

Combine like terms

n+m+2(0)

n+m

Let m=3 and n=2

2+3

5

7 0
2 years ago
HELP ASAP IM BEING TIMEDD
MrRissso [65]

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

 

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system of linear equations below.
    10·1 answer
  • Help plz
    7·1 answer
  • Verify whether the indicated numbers are zeroes of their corresponding polynomials.
    11·1 answer
  • The sum of four consecutive even integers is 636. Find the four integer.
    8·1 answer
  • Can some one help me plz
    14·1 answer
  • Fing the area of the circle with a radius of 17in. (Use 3.14 for pi)
    13·1 answer
  • 5. The value of an investement increased by 10%. The original amount of the
    13·1 answer
  • Factor the greatest common factor. 5xy4-20x2y3
    9·1 answer
  • how can the number 39 be divided into two parts in order that the sum of 2 upon 3 of one part and 3 upon 4 of the other part is
    7·1 answer
  • Miguel invested $400 in a bank account that pays interest. the account’s value over time, in x years, is given in the table. a 2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!