During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.

Answers

Answer 1

Answer:

cost per unit of gas i.e y= 0.36

Step-by-step explanation:

Let cost per unit of electricity = x

and cost per unit of gas = y

The equations required will be:

[tex]600x+100y=390 ---- eq(1)\\400x+250y=326----eq(2)[/tex]

We need to find value of y i.e cost per unit of gas

Solving equations to find value of y

We will use elimination method

Multiply equation 1 by 4 and 2 by 6

[tex]2400x+400y=1560 ---- eq(1)\\2400x+1500y=1956----eq(2)[/tex]

Subtracting eq 1 from eq 2

[tex]2400x+1500y=1956----eq(2)\\2400x+400y=1560 ---- eq(1)\\- \ \ \ \ \ - \ \ \ \ \ \ \ \ \ \ -\\----------------\\1100y=396\\y=\frac{396}{1100}\\y=0.36[/tex]

Solving we get y=0.36

Putting value of y in eq(1) to find value of x

[tex]600x+100y=390\\600x+100(0.36)=390\\600x+36=390\\600x=390-36\\600x=354\\x=\frac{354}{600}\\x=0.59[/tex]

Value of x = 0.59

But we need to find only cost of unit of gas i.e y

So, cost per unit of gas i,e y= 0.36


Related Questions

which of these relations are functions?​

Answers

Answer:

the fourth box (parabola)

Step-by-step explanation:

yeah

Pedro & Samuel are training for a race. The ratio of miles Samuel runs is 2:3. If Samuel logs 27 miles, then how many miles did Pedro train

Answers

Answer:

18

Reason:

the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.

If y=30 when x=6 what is the value of y when x=12

Answers

Answer:

60

Step-by-step explanation:

tge question wasn't really clear btw

Answer:

60

Step-by-step explanation:

it doubled the x so double y

Please help!!!!
(Show work if possible)

Answers

The correct answer is d or y=-5/2x-2 :) you find the slope which is -5/2 or -2.5 from the rise and run method then you have a y intercept of -2.
Yep the correct answer is D

Which of the following could represent the unit side lengths of a right triangle

A 5,8,10

B 3,5,7

C 6,11,13

D 12,16,20

Answers

Answer:

Choice D

Step-by-step explanation:

If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².

Answer:

Answer: D 12,16,20

Step-by-step explanation:

The Pythagora's Theorem

On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:

[tex]a^2+b^2=c^2[/tex]

The set {a,b,c} is often called a Pythagorean Triple.

Testing every option:

A

[tex]5^2+8^2=10^2[/tex]

[tex]25+64 = 100[/tex]

89 = 100

Since equality is false, 5,8,10 are not the side lengths of a right triangle.

B

[tex]3^2+5^2=7^2[/tex]

[tex]9+25 = 49[/tex]

34 = 49

Since equality is false, 3,5,7 are not the side lengths of a right triangle.

C

[tex]6^2+11^2=13^2[/tex]

[tex]36+121 = 169[/tex]

157 = 169

Since equality is false, 6,11,13 are not the side lengths of a right triangle.

D

[tex]12^2+16^2=20^2[/tex]

[tex]144+256 = 400[/tex]

400 = 400

Since equality is true, 12,16,20 could be the side lengths of a right triangle.

Answer: D 12,16,20

-5x=-6
what is the value of x?

Answers

Answer: x=6/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

(IM GIVING EXTRA POINTS AND BRAINLIEST TO WHO EVER HELPS ME! ;D)

Which of the following gives the most complete and accurate description of the
friction in the image?



A) The rough texture of the ground creates a small amount of friction.

B) The smooth texture of the ground creates a greater amount of friction.

C) The push of the suitcases causes friction between the wheels and the ground.

D) There is friction between the suitcases and the ground and between the feet and the ground.

(Here is the image) :

Answers

Answer:

I think D

Step-by-step explanation:

The ground looks pretty smooth to me, plus D has more info

Also, is that math?

Because it doesn't look like math.

Answer:

D

Step-by-step explanation:

all the others don't make sense

I'll take my brainlets

Which set of data is most accurately represented by a logarithmic model?

Answers

Help I’ll mark you brainly!ununubyvybyvybybybybybybybybbybyubybybybbybybybbybyybybbyybbyububbububu

[tex]\frac{m}{y}=gh\\solve for m[/tex]

Answers

what are we solving for




Triangle ABC has vertices of A(-6, 7), B(4, -1), and C(-2, -9). Find the length of the median from
A. 4
B. Square Root of 18
C. 8
D. Square Root of 68

Answers

Answer:

A

Step-by-step explanation:

PLEAD HELP ME FAST!!!!

Answers

Answer:

i can't really see to clear ..

Step-by-step explanation:

What is growth mindset? Describe growth mindset.
What is growth mindset examples?
What is the meaning of growth mindset?
How growth mindset can lead to success?

Answers

Answer:

Growth Mindset: “In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment. In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment,” Dweck wrote.

Step-by-step explanation:

( x + 9 ) - ( x -2 )=

Answers

Answer:

x = -7/2

Step-by-step explanation:

( x + 9 ) - ( x -2 )=

2x +7 =

2x = -7

x = -7/2

Given: BC = DA, LCBD = ZADB
Prove: ABCD = ADAB
Statements
Reasons
I need help:(

Answers

B thank....................

Your field experience instructor wants to line up 7 cars for transportation to a grade school. Between you and your classmates, there are 29 cars available. How many different groups of 7 cars are possible? different groups

Answers

Answer:

1560780 selections

Step-by-step explanation:

Given

Cars = 29

Selection = 7

Required

Possible number of selections

The interpretation of the question is that, in how many ways can 7 cars be selected from 29.

This is done using combination formula as follows:.

[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]

Where

[tex]n = 29[/tex]

[tex]r = 7[/tex]

So, the formula becomes:

[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]

[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]

[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]

[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]

[tex]^{29}C_7 = 1560780[/tex]

Hence, the number of ways is 1560780

The actual distance between two cities is 2250 miles. The distance between the two cities on a map is 15 inches. What is the scale of the map?

Answers

Answer: It should be 1 in. : 150 mi.

Answer:150

Step-by-step explanation:

a year later

2 (43 – 1) +6
Most equivalent

Answers

Answer:

90

Step-by-step explanation:

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Who ever gets this question right is BRAINLIEST. Answer For 15 Points

Answers

Answer:

ITS C:D pls give brainliest

Step-by-step explanation:

add all it equals C, 16.25

write the equation of the function if its rate of change is -14 and its intial value is 14

Answers

Answer:

[tex]f(x) = -14x + 14[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Value = 14[/tex]

[tex]Rate = -14[/tex]

Required:

Write as a function

Let x be the quantity that changes:

A function is of the form:

[tex]f(x) = mx + b[/tex]

Where

m = slope or rate

b = y intercept or initial value.

So, we can say that:

[tex]m = -14[/tex]

[tex]b = 14[/tex]

Substitute values for b and m in [tex]f(x) = mx + b[/tex]

[tex]f(x) = -14x + 14[/tex]

What is a number that when you multiply it by 4 and subtract 7 from the product, you get 25?

Answers

Answer:

8 times 4= 32-7=25

Step-by-step explanation:

The unknown number from the equation is 8.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a number that when you multiply it by 4 and subtract 7 from the product, you get 25.

Let the unknown number be x.

Now, 4x-7=25

4x=32

x=8

Therefore, the unknown number is 8.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7

Answers

Answer:

5

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

Answer:

5

Step-by-step explanation:

i took the quiz trust me

What is (4-5y) - (2y-16)

Answers

Answer:

4 - 5y - 2y + 16

like terms

20 - 7y

Answer:

4-5y)-(2y-16)=0

Step-by-step explanation:We add all the numbers together, and all the variables

(-5y+4)-(2y-16)=0

We get rid of parentheses

-5y-2y+4+16=0

We add all the numbers together, and all the variables

-7y+20=0

We move all terms containing y to the left, all other terms to the right

-7y=-20

y=-20/-7

y=2+6/7

ANSWER ASAP!
What is the result when the number 30 is decreased by 20%?

Answers

Step-by-step explanation:

it would be 24.........

24, 20% of 30 is 6, so 30-6 is 24... hope this helps and give thanks plsss!!

SECTION 2-4 PRACTICE

For problems 3–7 use the Social Security tax rate of 6.2 percent and Medicare

tax rate of 1.45 percent to determine each tax and the total deduction.

Gross Soc. Sec. Tax Medicare Tax

Total

Pay

Withheld

Withheld

Deduction

3.

a.

C!

b.

b.

а.

C.

4.

5.

$ 125.00

432.00

241.00

1,562.00

2,521.00

a.

b.

C.

a.

b.

c.

6.

7.

b.

C.

a.

US 4

Answers

Answer:

Computation of each tax and the total deduction:

                Gross     Soc. Sec. Tax    Medicare         Total

                                                             Tax             Deduction

a.           $ 125.00         $7.75              $1.81               $9.56

b.             432.00         26.78               6.26               33.04

c.             241.00           14.94               3.49                18.43

d.         1,562.00          96.84             22.65              119.49

e.         2,521.00       156.30             36.55              192.85

Step-by-step explanation:

a) Data and Calculations:

Social Security tax rate = 6.2%

Medicare tax rate = 1.45%

Computation of each tax and the total deduction:

                Gross     Soc. Sec. Tax    Medicare         Total                Pay

                                                             Tax             Deduction

a.           $ 125.00         $7.75              $1.81               $9.56             $115.44

b.             432.00         26.78               6.26               33.04             398.96

c.             241.00           14.94               3.49                18.43             222.57

d.         1,562.00          96.84             22.65              119.49           1,442.51

e.         2,521.00       156.30             36.55              192.85          2,328.15

Total $4,881.00       302.61              70.76             373.37          4,507.63

Sharise Brody folds and glues corrugated cardboard boxes at the rate of $0.57 per box. If she averages 40 boxes per hourhow much is her average hourly pay?

Answers

Answer:

she makes $22.80 a day

Step-by-step explanation:

since she makes $0.57 per box and averages at 40 boxes a day, we multiply 40 and 0.57. 40 x 0.57 = 22.8, or $22.80.

hope this helped!

Matt has started a car washing business to save money for college. Each week, he
washes 3 more cars than he did the week before.

Answers

Answer:

Since this equation is not complete, I will just give an example.

Step-by-step explanation:

Lets say Matt starts out with 6 cars in week one. For the next week, just add the number 3 to the preexisting number (6), which will give you 9. Now, lets say he washes cars for 10 weeks to save money. All you would have to do is add a 3 each time to the preexisting number. So, it would go 6, 9, 12, 15, 18, 21, 24, 27 30, 33. The answer to the equation I created above is 33. I hope this helps you solve your question.

What is the value of s?

s = __°

Answers

Answer:

50 what

Step-by-step explanation:

how many digits are there in 5¹⁰.4⁴.6³?

Answers

Answer:

90000000000 (11 digits)

Step-by-step explanation:

9216 x 5 to the 10th power

Use the order of operations to simplify 4 + 15 = 5
A 24 4/5
B 19 2/5
C 7 2/5
D 8​

Answers

Answer:

C

Step-by-step explanation:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

Answers

Answer:

52 ft

Step-by-step explanation:

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169 [tex]ft^2[/tex]

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

[tex]Area = Side \times Side[/tex]

Let the side be equal to [tex]a[/tex] ft.

Putting the given values in the formula:

[tex]169 = a^2\\\Rightarrow a =\sqrt{169}\\\Rightarrow \bold{a = 13\ ft}[/tex]

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4 [tex]\times[/tex] Side

Perimeter = [tex]4\times 13 = \bold{52\ ft}[/tex]

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