A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x,
x < 200
0.10 (x - 200) + 30, 2 > 200
determines
the bill.
How much is the bill for a person who uses 700 kWh in a month?
A. $100
оо
B. $80
O C. $105
O D. $95
PREVIOUS

Answers

Answer 1

Answer: (b)

Step-by-step explanation:

Given

Function for bill calculation is

[tex]\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x<200} \atop {0.1(x-200)+30\quad x>200}} \right.[/tex]

The consumption is 700 kWh i.e. more than 200

Therefore, bill is given by the second function i.e. [tex]0.10(x-200)+30[/tex]

Substitute 700 for x to get the bill

[tex]\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80[/tex]

Hence, option (b) is correct.


Related Questions

Nala and lily are playing a dice game where they score points. After one round, the ratio of nala point to lily's point is 7 to 9. If nala has 14 more points than lily, determine how many points lily has.

Answers

Answer:

Lily has 63 points and Nala has 49.

Step-by-step explanation:

Since Nala and Lily are playing a dice game where they score points, and after one round, the ratio of Nala's points to Lily's points is 7 to 9, if Nala has 14 more points than Lily, to determine how many points Lily has se you must perform the following calculation:

9 - 7 = 2

14/2 = 7

7 x 7 = 49

7 x 9 = 63

63 - 49 = 14

Therefore, Lily has 63 points and Nala has 49.

Please help me I will give you 16 points I don’t know what that do but I will

Answers

Answer:

40

Step-by-step explanation:

The serving sizes, [tex]x[/tex], of 20, 80, and 120 have a required amount of meat in pounds, [tex]y[/tex], of [tex]y=\frac{1}{10}x[/tex] (the number of pounds of meat is equal to 1/10th the serving size)

However, for the row with a serving size of 40, the number of pounds of meat is equal to [tex]\frac{6}{40}=\frac{3}{20}[/tex] the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.

which line is parallel to y=3/4x+10

1. y=-3/4+1
2. y=4/3x+8
3. y=-4/3-10
4. y=3/4x-6

Answers

The answer would be number 4, y=3/4x-6.

This is because both of the equations share the same slope of 3/4x.

what percentage of the 100 square grid is shaded

Answers

Answer:

25%

Step-by-step explanation:

Simply count the fully shaded squares; there are 22 of them.  Then count the 1/2 filled squares; there are 6 of them.  Combine half squares to make whole squares and you end up with 3 full squares.

Add 22+3 to get 25 -- 25 out of 100 = 25%

Hope this helps!


I will mark you brainliest

Which solutions make this inequality true? 3x>-30?*


X can be - 10
X can be -8
X can be o
X can be -12
x can be 3

Answers

Answer:

X can be -8, 0, and 3

Step-by-step explanation:

-8x3=-24

0x3=0

3x3=9

so -24, 0, and 9 are all bigger than -30 because -30 is a negative number.

-24>-30

0>-30

9>-30

Hope this helps!

Which polynomial is factored completely? g Superscript 5 Baseline minus g 4 g cubed + 18 g squared + 20 g 24 g squared minus 6 g Superscript 4 2 g squared + 5 g + 4

Answers

Answer:

It's D on Edge 2021

I did the assignment

The polynomial that is factored completely is one that can not be factored again is 2g² + 5g + 4. Therefore, option D is the correct answer.

What is the factorisation of a polynomial?

Factorisation of a polynomial is the decomposition of a polynomial into smaller polynomials.

Thus, the polynomial that is factored in completely is the polynomial that can not be decomposed again.

Now,

g⁵ - g = g(g⁴ - 1) (it can be factored)

4g³ + 18g² + 20g = 2g(g + 2)(2g + 5)

24g² - 6g⁴ = 6g²(4g² + g²)

2g² + 5g + 4 cannot be factored again. It is already factored completely

To learn more on factorisation visit:

brainly.com/question/27507106

#SPJ5

Cara has another candle that is 15 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours?

Answers

Answer:

It has to burn at a rate of 2.25 cm per hour.

Step-by-step explanation:

Help ASAP (Math) will give brainiest and points!!

Answers

Answer:

[tex]2.17 \times 10^{-1}[/tex]

Step-by-step explanation:

[tex](7 \times 10 ^{-6}) + 0.26 - (5 \times 10^{-2}) = \frac{7}{10^3} + \frac{26}{10^2}-\frac{5}{10^2}[/tex]

                                              [tex]= \frac{7 + (26 \times 10) - ( 5 \times 10)}{10^3}\\\\=\frac{7 + 260 - 50 }{10^3}\\\\=\frac{217}{10^3}\\\\= 2.17 \times 10^2 \times 10^{-3}\\\\= 2.17 \times 10^{-1}[/tex]

Find the measure of m∠K

Answers

Answer:

<k = 20

Step-by-step explanation:

Inscribed Angle = 1/2Intercepted Arc

<K = 1/2 (40)

<k = 20

If this net were to be folded into a cube, which number would be opposite of the number 1?

Answers

Answer:

4

Step-by-step explanation:

When you fold it to make it a cube, the number opposite to 1 is 4

Pls help math coordinates of pt P

Answers

Answer:

( 3, - 2 )

Step-by-step explanation:

p is located at below 3

is how many dogs do I have? a statistical question

Answers

no it is not a statistical question

With your bare feet, stand with one foot on a rug, and the other foot on a tile, linoleum, or wood floor. Which one feels colder? Which one is really colder? Explain what is going on in a paragraph

Answers

Answer:

The tile feels colder because it's a heat conductor and moves heat rapidly away from your skin which is much warmer than the air temperature. The rug is a heat insulator. The rug slows down the flow of the heat which makes it feel warmer.

Step-by-step explanation:

David must choose a number between 55 and 101 that is a multiple of 4, 8, and 12. Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Answers

Answer:

72,96

Step-by-step explanation:

Multiple's of 4 starting above 50 to 101

52, 56, 60, 64, 68, 72, 76, 80,84,88,92,96,100

Multiple's of 8 starting above 50 to 101

56, 64, 72, 80, 88, 96,

Multiple's of 12 starting above 50 to 101

60, 72, 84, 96,

See which numbers are in all three lists

72,96

for 1 trial, 3 spinners are spun where each spinner has 3 equal sections labeled 1, 2, and 3. What is the probability that at least two spinners land on 1?

Answers

Answer:

80/121

Step-by-step explanation:

For simplicity,

Probabilities of getting a red, a blue or a green in a single spin are, respectively, 4/11, 4/11 & 3/11.

Therefore, probabilities of getting 2 reds, 2 blues or 2 greens in 2 spins are, 16/121, 16/121 & 9/121 respectively.

Then, total probability of getting same colour both times would be 16/121 + 16/121 + 9/121 = 41/121.

Any other option would result in 2 different colours. Thus, the probability of getting two different colours in 2 spins = 1 - 41/121 = 80/121.

please look on the pic Above

Answers

Answer:

x = 2

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{6x+2}{x +5}[/tex] = [tex]\frac{24-8}{8}[/tex] = [tex]\frac{16}{8}[/tex] = 2 ( multiply both sides by x + 5 )

6x + 2 = 2(x + 5)

6x + 2 = 2x + 10 ( subtract 2x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Can someone help me with this? i’m struggling urgent help please!!!!

Answers

Answer:

Similar by SAS

Step-by-step explanation:

If you multiply the two given sides by 3/2 you will get the sides for the large triangle

3/2  * 10 = 30 / 2 = 15

3/2 * 24 = 72 / 2 = 36

Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.

Find the other two angles of both the triangles, if they were similar then the triangles are similar

What is a cofunction? Give examples and explain the purpose.

Answers

Cofunctions in trigonometry are function pairs like sine and cosine

Examples:
sin(π/2 - x) = cos(x), cos(π/2 - x) = sin(x), tan(π/2 - x) = cot(x), and cot(π/2 - x) = tan(x)

Purpose:

The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant, and cosecant. The value of an angle's trig function equals the value of the angle's complement's cofunction

Please help with math

Answers

Answer:

easy that thing needs help

x = 8 × Cos( 72 )

x = 8 × Cos( 90 - 18 )

x = 8 × Sin( 18 )

x = 8 × 0.309

x = 2.472

x = 2.470

x = 2.500

x = 2.5

What is the inverse of the function f(x)=2x-10

Answers

Answer:

Last Option is correct

Step-by-step explanation:

[tex]f(x) = 2x - 10[/tex]

[tex]y=2x−10[/tex]

[tex]x=2y−10[/tex]

[tex]2y−10=x[/tex]

[tex]2y=x+10[/tex]

[tex]y = \frac{1}{2} x + 5[/tex]

[tex]h(x) = \frac{1}{2} x + 5[/tex]

Hope it is helpful...

The slope of a line is -1/3 Find the slope of a line that is perpendicular to this line.


-3


3

1/3

Answers

Answer:

3

Step-by-step explanation:

To find the slope of a line perpendicular to a like with a gradient of -1/3, you do the negative reciprocal of -1/3 which would be 3/1 or 3.

Answer:

3

Step-by-step explanation:

let, m = -1/3

and, m1 = x

m * m1 = -1

m1 = -1/-1/3

m1 = 3......

Why do we organize the world using latitude and longitude? In two to three sentences, explain how latitude aSaleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.

Are these ratios equivalent to 2
3
? Explain your reasoning and longitude help us.

Answers

Answer:

The Earth is divided into degrees of longitude and latitude which helps us measure location and time using a single standard. Longitude and latitude lines measure the distance from the Earth's Equator or central axis - running east to west - and the Prime Meridian in Greenwich, England - running north to south.

No, the ratios are not equivalent to 2/3. To create an equivalent ratio, you need to multiply both numbers in the original ratio by the same number.

hope that helps<3

Math/Trigonometry!!!!!!!!!!!!!!!!!!!!!!! 22 pts.

Answers

Answer:

Approximately 1,320 feet.

Step-by-step explanation:

Let one person be x miles from the skycraper, then the other one will be 5 - x miles away from it.

So we have the 2 equations:

tan 4 = h/x

tan 10 = h/(5 - x)        where h is the height of the skyscraper

From the first equation:

h = x tan 4

Substituting in the second equation:

tan 10 = x tan 4 / (5 - x)

5 tan 10 - x tan 10 = x tan 4

x tan 10 + x tan 4 = 5 tan 10

x = 5 tan 10 / ( tan 10 + tan 4)

= 3.58 miles

h = 3.58 * tan 4

= 0.25 miles

= 1320 feet approx.

Lucas and Tony were trying to solve the equation: x^2=16x+25 Lucas said, "The x^2, squared term is isolated, so I"ll take the square root of both sides and solve." Tony said, "I'll solve using the quadratic formula with a=1,b=16, an c equals 25." Whose solution strategy would work? Choose 1 answer:

Answers

Answer:

Tony's solution strategy

Step-by-step explanation:

Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25

This can be written in standard form as x^2 - 16x - 25 = 0

This can then be factorized using the general formula

x = -b±√b²-4ac/2a where a, b and c are constants

From the given expression;

a = 1, b = -16, c = -15

Hence the best strategy that would have worked based on the explanation is Tony's

Answer: Neither

Step-by-step explanation: got it right on khan

hey what the answer
[tex] {x}^{2} - 4( {y}^{2} - x - 1)[/tex]

Answers

x^2 -(y^2-x-1). >>simplify
=x^2+ (-4)(y^2)+(-4)(-x)+(-4)(-1). >>>> distribute
= x^2 -4y^2 + 4x +4 >>>>answer

Find the center and raduis of the circle

Answers

Answer:

B

Step-by-step explanation:

Because the equation can be written in the form (x-p)^2+(y-q)^2. So it represents a circle with the radius r=3 and the center of (5,0).

Answer:

C

Step-by-step explanation:

The circle equation (x-a)²+(y-b)²=r² has a radius of r and a center of (a,b).

You can expand your equation from (x-5)²+y²=9 to (x-5)²+(y-0)²=3².

Using this information, you can see that a=5, b=0, and r=3.

Therefore the center is (5,0) and the radius is 3.

**This question involves circle equations, which you may want to revise. I'm always happy to help!

Tomas bikes 3 3/4 miles each morning and 2 1/2 miles each afternoon

Answers

Answer:

6 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 + 3/4 = 5/4 which is 1 1/4 simplified.

Then add the whole numbers, 2 + 3 = 5

5 + 1 1/4 = 6 1/4

Tomas rides 6 1/4 miles everyday.

What’s the answer pls help

Answers

Answer:

m= - 3/2

c=1/2

Step-by-step explanation:

y=mx+c (formula for finding slope)

y= -3x/2+1/2

m= - 3/2

c=1/2

En el numeral 87.684 la cifra de las decimas es la cifra de las centésimas es la cifra de las milésimas es la parte entera de la expresión decimas es en la parte entera, la cifra de unidades es , mientras que la cifra de la decena es

Answers

Answer:

La cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.

Step-by-step explanation:

Para responder la pregunta, se debe descomponer el número en cuestión:

87.684

8 = Indica la cantidad de decenas del número, es decir, 8 decenas (80).

7 = Indica las unidades dentro de la decena, es decir, 7 unidades más que 80.

.6 = Indica la cantidad de decenas del entero.

.08 = Indica la cantidad de centésimas del entero.

.004 = Indica la cantidad de milésimas del entero.

Así, la cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.

The equation a + b = c could be true or false.

Answers

True because that’s the start of the equation
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