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
LenKa [72]
3 years ago
10

A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat. Write a

system of linear equations that represent this situation. How many acres of each crop should the farmer plant?
Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0
C=number of acres of corn
w=number of acres of wheat

total is 180 acres

c+w=180

wants to plant 3 times as many corn as wheat
c=3w

subsitute 3w for c in other

c+w=180
3w+w=180
4w=180
divide boh sides by 4
w=45

sub back
c=3w
c=3(45)
c=135

135 acres of corn and 45 acres of wheat
You might be interested in
The sum of two numbers is 8. The difference of the same two numbers is 4. What are the two numbers?
Kobotan [32]

Answer:

2 and 6

Step-by-step explanation:

2+6=8. 6-2=4.

5 0
3 years ago
Read 2 more answers
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate
yulyashka [42]

Answer:

25

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)

C'(x) = (-\dfrac{12500}{x^2})  + 20  --- (2)

At C'(x) = 0

\dfrac{12500}{x^2} = 20

\dfrac{12500}{20} = x^2

x^2= 625

x = \sqrt{625}

x = 25

C'' (x) = -12500 \times \dfrac{-2}{x^3} +0

C'' (x) = \dfrac{25000}{x^3}

where; x = 25

C'' (x) = \dfrac{25000}{25^3}

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0
3 years ago
What’s the answer? Please help
blsea [12.9K]

Answer:

B

Step-by-step explanation:

Since you are trying to find out half the number of students in a PE class, dividing would be most appropriate since you would be trying to find half.

4 0
3 years ago
Please Help!!! I NEED THIS ASAP
Oksi-84 [34.3K]

person is si mis iosnmasabgoiuwgaufgafuawf

4 0
3 years ago
-4/9 + (-1/3) ? Helppppp
Alex

Answer:

- 7/9

Step-by-step explanation:

-4/9 + (-1/3)

= -(4/9) - (1/3)

= - (4/9 + 1/3)

= - (4/9 + 3/9)

= - [(4 + 3) / 9 ]

= - 7/9

5 0
3 years ago
Other questions:
  • Heather places 32 stamps in groups of 8hoe many groups of stamps are there
    11·2 answers
  • What is 4 groups of 12
    7·2 answers
  • A math club has 100 members. 60 members are boys and the rest are gins What is the ratio of boys lo ALL club members?​
    12·2 answers
  • ~SIMPLE AND COMPOUND INTEREST~
    9·1 answer
  • 8x+4=32 What is the value of X in the problem stated, all answers real and imaginary.
    5·1 answer
  • The y-intercept of the line whose equation is 3x + 2y = 7
    8·1 answer
  • The bait shop sells boxes of worms for fishing. The shop has 7 boxes left. There are 13 worms in each box.
    14·1 answer
  • Given the congruent figures solve for the missing variable
    13·1 answer
  • Ggefv23ehwdg1uhigvfgwuiderfghvwh4eryu
    12·1 answer
  • Slope for (-5,0) (5,-4)​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!