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
2. Is 4x – 3 = 19 true, false, or open? <br> A)true<br> B)false<br> C)open
ElenaW [278]

Answer: B. False

Step-by-step explanation: Because you do

4x - 3 = 19

+3 +3 =4x = 22

You divide 4x divide by 4 and you get x

Then you divide 22 by 4 and get 5.5

So the answer is X = 5.5

6 0
3 years ago
simplify, 6+3-3-3-3-3-21-5-5234-534-5-4-4-3-43-3-443--4-4-4-4--4-4-4-4-4-4-4--44-4--4-4-4=5647765865886*556386588668*56586856853
Nataly [62]

Answer:

−6294≠Infinity

Step-by-step explanation:

−6294≠Infinity

5 0
3 years ago
The reciprocal of 7 is 7/1<br> true or false
3241004551 [841]

Answer:

False

Step-by-step explanation:

A reciprocal is when a whole number fraction is flipped

Therefore the reciprocal of 7 is 1/7

8 0
2 years ago
Read 2 more answers
5/6+2/9= in simplest form I NEED this plz help
tensa zangetsu [6.8K]

Answer: 1  1/18

Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but <em>the </em><em>Numerator is the top number of a fraction</em><em> and the </em><em>Denominator is the bottom a fraction.</em> When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as  5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max  (5/5 x 1/2 = 5/10= 1/2)

  • First, you need to find a like denominator,  which is 18
  • Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3  ( 3/3 is just  a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply  2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
  • Next you add them but only the numerator  15/18 + 4/18 = 19/18
  • Finally, you change the the fraction into a mixed number 1 and 1/18
6 0
2 years ago
Find the total cost : $20 meal; 9% tax on meal; 20% tip on meal​
Mrac [35]

Answer:

the meal cost $25.8 in total.

Step-by-step explanation:

9% of 20 is 1.8

20% of 20 is 4

20 + 1.8 + 4 = 25.8

May I have brainliest please? :)

3 0
3 years ago
Other questions:
  • Last years sales were 13,500 sales have increased 47% this year how much is the increase
    11·1 answer
  • Read the following statement: All prime numbers are odd. Which of the following choices is a counterexample to the statement?
    9·1 answer
  • How do I do this problem
    11·2 answers
  • if the function f(x) has a domain of -2≤x≤8 and a range of -4≤y≤6 and the function g(x) is defined by the formula g(x)= 5f(2x) t
    7·1 answer
  • Find the product.<br> (6x^2-6x-5) (7x^2+6x-5)
    15·1 answer
  • A geometric sequence is shown below: a0, -11, 22, a1, 88, -176.
    5·1 answer
  • Identify the parent function of the equation below.
    15·1 answer
  • What is x+3= - (-x+ ___ )​
    8·1 answer
  • A rock falls from a tower that is 416 ft high. As it is falling, its height is given by the formula h=416-16t^2. How many second
    14·1 answer
  • 76 1/2 long division write each rational number as a terminating
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!