suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household income is being spent on electricity​?​

Answers

Answer 1

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[tex]\large \bold {ANSWER}[/tex]

[tex]\implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}[/tex]

9% of the family income is being spent to pay the energy bill.

[tex]\large \bold {SOLUTION}[/tex]

HOW TO FIND OUT THE PERCENTAGE?

If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.

To solve, we will use the simple rule of three like this:

[tex]\frac{2000}{180} = \frac{100}{x}[/tex]

With this we will multiply the denominator of one with the numerator of the other, being:

2000 * X and 180 * 100Where: 2000 * x is equal to 2000xAnd 180 * 100 is equal to 18,000

Knowing this, we will solve it this way:

2000x = 18,000

To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.

[tex]x = \frac{18000}{2000}[/tex]

And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.

[tex]\begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}[/tex]

We can conclude that the amount spent to pay the energy bill is equivalent to 9% of the family income.


Related Questions

como faltar a la escuela​

Answers

Answer:

Como faltar a la escuela. Por favor, ¿cuál es el significado?

Which linear function has the steepest slope?

Answers

Answer:

[tex]y=-8x+5[/tex]

Slope-intercept form:

[tex]\implies y=mx+b[/tex] [tex](\text{m=slope};\text{b=y-intercept})[/tex]

Using the slope-intercept form, let's identify the other slopes:

Option A:

[tex]y=-8x+5[/tex]  

[tex]\text{slope}=-8[/tex]

Option B:

[tex]y-9=-2(x+1)[/tex] (This equation is in point-slope form, the slope it too the left, making it -9)

[tex]\text{slope}=-9[/tex]

Option C:

[tex]y=7x-3[/tex]

[tex]\text{slope}=7[/tex]

Option D:

[tex]y+2=6(x+10)[/tex]

[tex]\text{slope}=2[/tex]  (Using point-slope terms, we can find the slope.)

⇒ A 'steep'est slope is closest to almost having a vertical slope or pitch, or  relatively high gradient, as a hill, an ascent, stairs, etc.

[tex]\text{This could be a line }[/tex] ⇒ ([tex]\text{positive or negative}[/tex])

Hence, the linear function with the steepest slope is Option A: [tex]y=-8x+5[/tex].

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Determine the measure of the indicated angle!

Answers

The measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have triangles shown in the picture.

In the first triangle SUT:

PU is bisecting the angle SUT:

The measure of angle PUT:

Angle PUT = Half of Angle SUT

= 26/2

= 13 degrees

In the triangle SQR:

Angle SQP = Angle PQR

Angle SQP  = 21 degrees

Angle PQR = 21 degrees

Thus, the measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees

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the roots of x+1/x=3 are: (x not equal to 0)​

Answers

Answer:

x^2-2x-3

Step-by-step explanation:

(x+1)(x-3)

x(x-3)+1(x-3)

Multiply both sides by x
x^2 + 1 = 3x
x^2 - 3x + 1 = 0
Completing the square
x^2 - 3x + (1.5)^2 - 1.25 = 0
(x - 1.5)^2 = 1.25
x - 1.5 = +- sr(1.25)
x = 1.5 +- sr(1.25)
x = 2.61803… or 0.381966…

You could use the quadratic formula x = (-b +- sr(b^2 - 4ac)) / 2a where ax^2 + bx + c = 0

A trader bought 30 baskets of pawpaw and 100 baskets of mangoes for 2450. she sold the pawpaw at a profit of 40% and the mangoes at a profit of 30%. if her profit on the entire transaction was 855, find the cost price of a basket of pawpaw and the selling price of 100 baskets of mangoes.

Answers

The cost price of pawpaw is 40 and the cost if the basket of mangoes is 1250.

How to calculate the price?

Based on the information given, the equations to solve the question will be:

30p + 100m = 2450 .... i

1.3 × 40p - 30 p + 1.3 × 100m = 855 ..... ii

30p + 100m = 2450

12p + 30m = 855

Solving simultaneously, the price of pawpaw is 40 and the price of mango is 12.5.

Therefore, the cost of 100 basket of mangoes will be:

= 12.5 × 100

= 1250

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How much weight does the women in the video lose in a year? 80 pounds 90 pounds 50 pounds 20 pounds

Answers

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Medical practitioners recommend losing around 1–2 pounds (0.5–0.9 kg) per week.

Hence for a year:

Amount of weight loss = (1 * 365) or (2 * 365)

Medical practitioners recommend losing around 365 pounds or 730 pounds per year.

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which greek mathematician wrote the most definitive text on geometry, one that is still referred torday.

Answers

Answer:

Pythagoras

Step-by-step explanation:

please mark me as brainlest

I think the answer is Euclid.

A main area of mathematics is called Euclidean Geometry.

Find the value of y.

Answers

Answer:

its 0

Step-by-step explanation:

you just gotta do the math correctly to get the answer. x & y are both values with different meanings. but in this case it's 0

If the divisor is a decimal then you must multiply by a power of 10 to make it a whole number. Why is it important to multiply the dividend and the divisor by the same power of 10?

Answers

It is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

Division of whole numbers

When the numerator and denominator of improper fractions are in whole number form, it makes the division a lot easier.

For example;

what is the simplest form of 0.1/0.2?

To obtain the simplest form of the above function, we multiple the numerator and denominator by 10.

= (0.1 x 10)/(10 x 0.2)

= 1/2

Note: introducing factor of 10 to both numerator and denominator has not changed the function.

Thus, it is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

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4 apples and 3 pears=£2.70 2 apples and 5 pears =£2.40 how much does 1 apple cost and 1 pear

Answers

Answer:

The answer is 0.45 pounds for an apple and 0.3 pounds for a pear

Step-by-step explanation:

Answer:

Cost of each apple: [tex]0.45[/tex].

Cost of each pear: [tex]0.30[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote the cost of each apple. Let [tex]y[/tex] denote the cost of each pear.

The question states that the cost of [tex]4[/tex] apples and [tex]3[/tex] pears is [tex]2.70[/tex]. Thus:

[tex]4\, x + 3\, y = 2.70[/tex].

Likewise, since the cost of [tex]2[/tex] apples and [tex]5[/tex] pears is [tex]2.40[/tex]:

[tex]2\, x + 5\, y = 2.40[/tex].

Solve this system of equations for [tex]x[/tex] and [tex]y[/tex] to find the price of each fruit.

[tex]\left\lbrace \begin{aligned} & 4\, x + 3\, y = 2.70 \\ & 2\, x + 5\, y = 2.40\end{aligned}\right.[/tex].

Multiply both sides of the equation [tex]2\, x + 5\, y = 2.40[/tex] by [tex]2[/tex] to match the coefficient of [tex]x[/tex] in the first equation:

[tex]\left\lbrace \begin{aligned} & 4\, x + 3\, y = 2.70 \\ & (2\times 2)\, x + (2 \times 5)\, y = (2 \times 2.40)\end{aligned}\right.[/tex].

[tex]\left\lbrace \begin{aligned} & 4\, x + 3\, y = 2.70 \\ & 4\, x + 10\, y = 4.80 \end{aligned}\right.[/tex].

Substitute the first equation from the new equation to eliminate [tex]x[/tex] and solve for [tex]y[/tex]:

[tex]\begin{aligned}& 4\, x + 10\, y - (4\, x +3\, y) = 4.80 - 2.70\end{aligned}[/tex].

[tex]10\, y - 3\, y = 2.10[/tex].

[tex]7\, y = 2.10[/tex].

[tex]y = 0.30[/tex].

Substitute [tex]y = 0.30[/tex] into an equation from the original system to eliminate [tex]y[/tex] and solve for [tex]x[/tex].

[tex]2\, x + 5\, y = 2.40[/tex].

[tex]2\, x + 5 \times 0.30 = 2.40[/tex].

[tex]2\, x = 0.90[/tex].

[tex]x = 0.45[/tex].

Thus, [tex]x = 0.45[/tex] and [tex]y = 0.30[/tex].

In other words, the price of each apple would be [tex]0.45[/tex]. The price of each pear would be [tex]0.30[/tex].

Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. 3 1/3 -1/3 −3

Answers

This is about interpretation of graphs.

Option C is correct.

From the graph, we can see the 2 lines representing function f(x) and function g(x).

Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.

We see that the best point for that is where x = -3.

For f(x), when x = -3, y = 1

For g(x), when x = -3, y = -3

we can rewrite them as;

x = -3, f(-3) = 1 and x = -3, g(-3) = -3

Let us plug in the relevant values into g(x) = k⋅f(x) to get;

-3 = k(1)

Thus; k = -1/3

One lucky day, you meet a leprechaun who promises to give you fantastic wealth, but hands you only a penny before disappearing. You head home and place the
penny under your pillow. The next morning, to your surprise, you find two pennies under your pillow. The following morning, you find four pennies, and the morning after
that, eight pennies.
Suppose that you could keep making a single stack of the pennies. After how many days would the stack be long enough to reach a star that is about 3x10¹3 km
away? (Assume that 1 penny = 1.5 mm)

Answers

The number of  days would the stack be long enough to reach a star that is about 3 × 10¹³ km away is 64 days

How to find the number of days the penny would stack?

Since from the question, we see that the number of pennies double with each day. It forms a geoemetric progression with

first term a = L and common ratio , r = 2.

Since the number of pennies after n days equals N = 2ⁿ

Let

L = length of 1 penny = 1.5 mm = 1.5 × 10⁻³ m

So, after n days, the length of the stack of pennies is the geoemetric progression D = 2ⁿ × L

Number of days pennies would stack to reach star

Making n subject of the formula, we have

n = ㏒(D/L)/㏒2

Since D = the distance of the star = 3 × 10¹³ km = 3 × 10¹⁶ m, and L = length of 1 penny = 1.5 mm = 1.5 × 10⁻³ m

Substituting the values of the variables into the equation, we have

n = ㏒(D/L)/㏒2

n = ㏒(3 × 10¹⁶ m/1.5 × 10⁻³ m)/㏒2

n = ㏒(3/1.5 × 10¹⁹)/㏒2

n = ㏒(2 × 10¹⁹)/㏒2

n = ㏒2 + ㏒10¹⁹/㏒2

n = (19㏒10 + ㏒2)/㏒2

n = (19 + 0.3010)/0.3010

n = 19.3010/0.3010

n = 64.1

n ≅ 64 days

So, the number of  days would the stack be long enough to reach a star that is about 3 × 10¹³ km away is 64 days

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what does a equal if 2÷a=(5/2)÷(5/4)

Answers

Question:

2÷a=(5/2)÷(5/4)

Answer:

a = 1

I give you 12 points if you help me ;) it’s math

Answers

Answer:

y=23.6

Step-by-step explanation:

20+0.45×8

20+3.6

23.6

HEEEEEEELPPP AND QUICKKKKK PLEASE OMGOMGOMGGMOGMGOMGOMGOMGOGMOMGOMGOMGOGMOGMOMGOMGOMOGOG

Answers

Answer:

C (The third answer). The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

This problem can be thought similarly to: (x-2)²

A common mistake would to make the x squared and the -2 squared like x²+4, however, the problem should be solved like (x-2)(x-2) which equals to: x² - 4x + 4

In this question, if you square root an expression like ±√(b²-4ac), you cannot just take the square root of b² unless it was (b²)(-4ac).

The terms can only be divided individually if they are either multiplied or divided, but cannot if they are added or subtracted.

The midpoint of AB is M(-2, -1) If the coordinates of AA are (-7, 2) what are the coordinates of B?

Answers

Answer:

(3,-4)

Step-by-step explanation:

b) The height of the control tower. a) The shortest distance between the pilot and the base of the control tower. From a horizontal distance of 10.5km, a pilot observes that the angles of depression of the top and base of a control tower are 36° and 41 degrees respectively. Calculate he following:

Answers

From the calculations, the height of the tower is 26.4 Km

What is the angle of depression?

If we know that the base of the tower is B and he top of the tower is T then to find the  shortest distance between the pilot and the base of the control tower;

Sin 41 = 10.5//BP/

/BP/ = 10.5/Sin 41

/BP/ = 15.9 Km

Now, the height of the control tower is obtained from;

First /AB/ = √(15.9)^2 - (10.5)^2

/AB/ = 11.9 Km

Given that;

Tan 36 = 10.5//BT/

/BT/=  10.5/Tan 36

/BT/=  14.5 Km

Hence the height of the tower is 11.9 Km + 14.5 Km = 26.4 Km

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Which graph represents the function r(x) = |x-2| -1

Answers

It's whichever graph is an absolute function and is shifted to the right by 2 and is shifted down by 1.

Since I don't have a picture of the graph this is the best I can do to help.

Answer:

see attached

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Given function:

[tex]r(x) = |x - 2| - 1[/tex]

The parent function of the given function is:  [tex]f(x) = |x|[/tex]

Translated 2 units to the right:  [tex]f(x-2)=|x-2|[/tex]

Translated 1 unit down:  [tex]f(x-2)-1=|x-2|-1[/tex]

Graph of Modulus function

Line y = x where x ≥ 0

Line y = -x where x ≤ 0

Vertex at (0, 0)

Therefore, the graph of the given function is the graph of the modulus function translated 2 units to the right and 1 unit down.  So, its vertex is at (2, -1).

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City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. What was the temperature of City A and City B on that day?

A) City A was 5: C. and City B was 4° C.
B) City À was 3° C, and City B was -1° C
C)City A was 8° C. and City 3 was -3° C.
D)City À was 5° C, and City 3 was -5° C. ​

Answers

Answer:

A) City A was 5°C and City B was 4°C

Step-by-step explanation:

let temperature of City A be x and City B be y

According to the conditions of the question

4x = 8 + 3y (first temperature)

x - 2y = -3 (second temperature)

x = -3 + 2y

4(x) = (-3 + 2y)×4

4x = -12 + 8y

But it's already given that 4x = 8 + 3y

So,

8 + 3y = -12 + 8y

8 + 12 = 8y - 3y

20 = 5y

y = 20/5

y = 4

That means City B temperature was 4°C

So Option A

If you want you can find x to find City A temperature

Can you please mark Brainliest

what are the true statements

Answers

D and C are true statements

If b = 5, then the exact value of a is?

Answers

Answer:

5sqrt3

Step-by-step explanation:

You can use trigonometry to figure out the answer

TOA is tan(any angle) = opposite/adjacent

Tan(30) = 5/x

tan(30) = sqrt3/3

x = tan inverse (30) multiplied by 5

x = 5sqrt3

Solve for x in the diagram below.

Answers

Answer:

x = 34

Step-by-step explanation:

A straight line is 180 degrees

We can sum angles to form a straight line

x+12 + 100 +x = 180

Combine like terms

2x+112 = 180

2x+112-112 = 180-112

2x = 68

Divide each side by 2

2x/2 = 68/2

x = 34

answer:

=x+12+100+x =180

=x+x+12+100=180

=2x+112=180

=2x=180-112

=2x=68

=2/2x=68/2

=x=34

In the given figure, lines AC and BD intersect each other at point E.
If ∠AEB:∠BEC = 9 : 11, find all the angles.

Answers

The value of the angle AED = 99 degree , Angle BEC is 99 degree , angle DEC = 81 degree , angle AEB is 81 degree

What is angle of a Straight Line ?

The straight line has an angle of 180 degree.

The two lines AC and BD intersects such that

∠AEB:∠BEC = 9 : 11

Let angle BEC be x

Then

Angle AEB is 9x/11

and angle AEC + BEC = 180 degree

(9x/11) + x = 180

9x +11x = 11 * 180

20x = 11 * 180

x = 99 degree

Angle BEC is 99 degree

and angle AEB is 81 degree

As Angle AED is vertically opposite to angle BEC

Therefore angle AED = 99 degree

As Angle DEC is vertically opposite to angle AEB

Therefore angle DEC = 81 degree.

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Write the sentence as an equation.

253 equals the product of 232 and k


Type a slash ( / ) if you want to use a division sign.

Answers

The solution to a given word problem by writing it as an equation is k = 253/232

Expressing word problems in mathematical forms:

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

253 = 232 × k253 = 232k

Making k the subject of the equation, we have:

k = 253/232

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Explain what happens when you have an exponent to the power of another exponent.

Answers

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.

Step-by-step explanation:

Click for the picture of the question it’s a multiple choice, I don’t even know where to begin

Answers

Answer:

b - read explanation if you are confused for future problems

Step-by-step explanation:

Inverse variation is when x*y = k whereas direct variation (may come up in future problems) is when y = x*k

Remember that k is always a set value while x and y are values that can change

In this case y*x = k so k = 18 (since y is 9 when x is 2)

So when  x = 8

8y = 18

y = 18/8 = 9/4

Answer is b! Not quite sure how to explain it tho

there are 2 quarters 1 nickle and 2 dimes in a pocket what is the probility of choosing a coin not returning it too the pocket and then choosing another of greater value

Answers

The first coin chosen can be either a dime or nickel as the second coin must be of greater value.
P(dime followed by quarter) = 2/5 x 2/4 = 4/20 = 1/5
P(nickel followed by quarter or dime) = 1/5 x 4/4 = 1/5

P(second coin has higher value) = 1/5 + 1/5 = 2/5

A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?

Answers

Using the Fundamental Counting Theorem, it is found that the number of outcomes possible in this scenario is given by:

D. 240.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The number of options for each selection are given as follows:

[tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 2[/tex]

Hence the number of outcomes is given by:

N = 6 x 4 x 5 x 2 = 240.

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Select all numbers that are a solution of the inequality.
Every month a salesperson adds 7 new accounts. The algebraic expression that represents the number of new accounts that he will add in m months is _____.

Answers

The algebraic expression that represents the number of new accounts that he will add in m months is x ≥ 7m.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Every month, a salesperson adds 7 new accounts.

Let m be the number of the month and x be the number of the accounts.

Then the inequality equation will be

x ≥ 7m

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Which classification describes the following system of equations?
12x+5y-3z= 36
x-2y+4z=3
9x-10y+5z = 27

Answers

A consistent and independent system of equations describes the given system of equations.

The consistent and independent system of equations are given below.

12x+5y-3z= 36x-2y+4z=39x-10y+5z = 27

What is a consistent independent equation?

A consistent equation is a system of linear equations that is consistently unbiased when it has precisely one solution. While this is the case, the graphs of the lines within the system move at exactly one point. In inconsistent, a system of linear equations is inconsistent if it has no solutions.

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