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3 years ago

9

In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars

, what was the gas bill?

1 answer:

USPshnik [31]3 years ago

7 0

Answer:

49$

Step-by-step explanation:

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How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

$2(x(x-5)+12(x-5))=0$

$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

6 0

3 years ago

In the isosceles trapezoid ABCD, find the value of x.

Semenov [28]

Answer:

15

Step-by-step explanation:

3x+15=60

3x=45

x=15

6 0

3 years ago

Can somebody number the problem and work it out for me thanks and btw it’s solving system by graphics

adoni [48]

Answer:

Solutions are (3,1) and (4,2)

Step-by-step explanation:

Graph is shown in the attached sheet

Given are two systems of equations and we have to solve them using graph

For graphing let us first prepare table for x and y.

1) $y=\frac{-2x}{3} +3:\\y=2x-5$

I line II line

x 0 4.5 3 x 0 2.5 3

y 3 0 1 y -5 0 1

The two lines intersect at (3,1)

Hence solution is (3,1)

--------------------------------------------

2) $y=\frac{x}{2} \\-6x+3y=-18$

I line II line

x 0 2 4 x 0 6 4

y 0 1 2 y 3 0 2

The two lines intersect at (4,2)

Hence solution is (4,2)

3 0

3 years ago

) If the pattern shown continues, how many black keys appear on a portable keyboard with 49 white keys? Suggestion: use equivale

andriy [413]

Answer:

35

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

If we need 49 white keys, find the amount we scale the original ratio by:

49/7 = 7

So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

5 0

2 years ago

Read 2 more answers

How much interest is earned on a principal of $316 invested at an interest rate of 9%

anzhelika [568]

Answer:

$130.06

Step-by-step explanation:

Interest is calculated as shown;

I = A - P

A is the amount

P is the principal

Given

Principal = $316

Rate R = 9% = 0.09

Time t = 4yrs

Substiutte and get Amount A

A =P(1+r)^n

A = 316 (1+0.09)^4

A = 316(1.09)^4

A = 316(1.4116)

A = 446.06

Interest = 446.06 - 316

Interest = 130.06

Hence the interest is $130.06

4 0

3 years ago