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
Sati [7]
3 years ago
6

Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.8

0 per pound with Fescue seed that costs $3.50 per pound. How much of each seed should he buy so that the overall cost will be $4.02 per pound?
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Given that total number of pounds of grass seed needed = 9

Let number of pounds of Bermuda seeds used = x

Let number of pounds of Fescue seeds used = y

Then sum of both gives equation:

x+y=9

or y=9-x...(i)


Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x


Given that cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

total cost will be 4.80x+3.50y



Given that cost of 1 pound of mix seed = $4.02

Then cost of 9 pound of mix seed = $4.02*9


combining all three parts, we get equation:

4.80x+3.50y=4.02*9

4.80x+3.50y=36.18...(ii)

plug (i) into (ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

Now plug x=3.6 into (i)

y=9-x=9-3.6=5.4


Hence final answer is given by:

Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

Let number of pounds of Fescue seeds he should buy = 5.4 pounds


You might be interested in
Which expression is equivalent to Left-bracket log 9 + one-half log x + log (x cubed + 4) Right-bracket minus log 6? log StartFr
dybincka [34]

Answer:

  \log{\dfrac{3\sqrt{x}(x^3+4)}{2}}

Step-by-step explanation:

\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}

__

The applicable rules of logarithms are ...

  log(ab) = log(a) +log(b)

  log(a/b) = log(a) -log(b)

  log(a^b) = b·log(a)

3 0
3 years ago
Use the vertical line test to determine whether the graph shown to the right is the graph of a function
Andreas93 [3]

That's not a function.

Since a vertical line hits the graph more than once, if fails the test. (See graph below)

If it is a function, any vertical line you draw can only hit the graph once.

3 0
3 years ago
(x+2)^2=-9<br><br> Need for a math quiz today please!
Y_Kistochka [10]

Answer:

x=3i-2,x=-3i-2

Step-by-step explanation:

x+2=\sqrt{-9} : x=- 3i-2

= x=3i-2,x=-3i-2

Hoped this helps you!! :D

6 0
3 years ago
Consider the following data:
-BARSIC- [3]

Answer: x =6

Step-by-step explanation:

8 0
2 years ago
Plsss helppppppppp<br> pls help me
pychu [463]

Answer: should be B if im wrong sorry :(

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • A factory produces plate glass with a mean thickness of 4 mm and a standard deviation
    14·1 answer
  • The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the
    5·1 answer
  • The point (2, 5) is represented on the graph. Which point also belongs on this graph?
    12·2 answers
  • I'll give BRAINIEST<br><br> .............
    12·1 answer
  • The sports car is traveling along a 30 banked road having a radius of curvature of r = 500 ft. If the coefficient of static fric
    9·1 answer
  • 15 - (4m - 5) + 32<br><br> Please help!!!!
    6·2 answers
  • What is the GCF of 6x, 12y , 18?
    15·1 answer
  • Which of the following statements best describes the location of -(-1) on a number line?
    14·1 answer
  • Select all the equations that have the same solution as 3x - 12=24
    12·1 answer
  • Antonia’s class is in the midst of a heated discussion about climate change. It seems as though everyone has an opinion on the s
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!