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
DiKsa [7]
3 years ago
15

During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. The next month, 400 u

nits of electricity and 250 units of gas were used for a total cost of $299. Find the cost per unit of gas.
Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer: the cost per unit of gas is $0.38

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that

600x + 100y = 344- - - - - - - - - -1

The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.

It means that

400x + 250y = 299- - - - - - - - - -1

Multiplying equation 1 by 400 and equation 2 by 600, it becomes

240000x + 40000y = 137600

240000x + 150000y = 179400

Subtracting, it becomes

- 110000y = - 41800

y = - 41800/- 110000

y = 0.38

Substituting y = 0.38 into equation 1, it becomes

600x + 100 × 0.38 = 344

600x + 38 = 344

600x = 344 - 38 = 306

x = 306/600

x = 0.51

You might be interested in
What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
Lena [83]
To find the zeros of this equation you need to first set it equal to zero
2x2 + 16x - 9 = 0
But since you can't FOIL this equation you need to move the non-variable number over
2x2 +16x = 9
Now solve for x by pulling an x out of the equation
x(2x + 16) = 9
x = 9
2x +16 = 9
2x = -7
x = -7/2
So your zeros would be at x = 9, and -7/2
7 0
3 years ago
What is the equation of the line that passes through point (1, 1) and is
kaheart [24]

Answer:

Step-by-step explanation:

-y = -2x + 3

y = 2x - 3

y - 1 = 2(x - 1)

y - 1 = 2x - 2

y = 2x - 1

answer is B

8 0
3 years ago
How do I solve this equation 9-x/5=3
tatiyna

Answer:

x= -10

Step-by-step explanation:.......

4 0
3 years ago
Which is equivalent to 3 cube root 125
aleksklad [387]
Do you mean 3 \sqrt[3]{125} or \sqrt[3]{125}
remember that \sqrt[n]{x^m}=x^\frac{m}{n}
resolve the \sqrt[3]{125} part first\sqrt[3]{125}=\sqrt[3]{5^3}=5^\frac{3}{3}=5^1=5

so
3 \sqrt[3]{125}=3*5=15 or \sqrt[3]{125} =5not sure which one you mean
7 0
3 years ago
Read 2 more answers
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me it is
solong [7]

Answer:

D

Step-by-step explanation:

Paul can type 60 words per minute and Jennifer can type 80 words per minute. Paul typing speed / Jenifer typing speed = 60/80 = 3/4. Paul type 3/4 as fast as Jennifer. Log in for more information.

7 0
3 years ago
Read 2 more answers
Other questions:
  • 61​% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a pr
    7·1 answer
  • Will mark brainly if u show work !
    13·1 answer
  • On a coordinate plane, a straight line with a positive slope begins at point (0, 50) and ends at point (5.5, 600). Which scenari
    6·1 answer
  • Choose the number that is composite.<br><br><br> A. 2<br> B. 21<br> C. 31<br> D. 17
    13·1 answer
  • Enter the value for x that makes the equation ž (4x – 8) + 3x = 36 true.​
    12·1 answer
  • Whats 4
    14·1 answer
  • Find the volume of the composite solid.
    10·1 answer
  • It costs $3.60 to buy one lb of candy. How much would it cost to purchase 5 lbs of candy?
    6·2 answers
  • I need help with algebra 1 please
    6·1 answer
  • Zoom In! Help needed immediately
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!