Answer:
B. 40
Step-by-step explanation:
if x=300, it means x>200, then b(x)=0.1(x-200)+30; ⇔ b(x)=0.1*100+30= 40 [USD].
The bill for a person who uses 300 kWh in a month is $40.
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
For a person who uses 300 kWh in a month, we need to use the second part of the function:
b(x) = 0.10(x - 200) + 30, x > 200
Substituting x = 300, we get:
b(300) = 0.10(300 - 200) + 30
b(300) = 0.10(100) + 30
b(300) = 10 + 30
b(300) = 40
Therefore,
The bill for a person who uses 300 kWh in a month is $40.
Learn more about functions here:
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Here is a triangle:
(a) Work out the size of the angle marked a.
(b) Work out the size of the angle marked b.
Answer:
a.) 130°
b.) 70°
Step-by-step explanation:
For a given triangle
a.)The sum of all angles on a straight line is equal to 180°
Now,
50° + a = 180°
Subtract 50° from each side we get,
50° - 50° + a = 180° - 50°
a = 130°
Thus, The size of the angle marked a is 130°
b.)The sum of all angles in a triangle is equal to 180°
Now,
b + 50° + 60° = 180°
b + 110° = 180°
Subtract 110° from both side we get,
b + 110° - 110° = 180° - 110°
b = 70°
Thus, The size of the angle marked b is 70°
-TheUnknownScientist 72
Helppp me Please!! i beg
Answer:
The answer would be -16
Step-by-step explanation:
Add
5
Emmitt runs 5 miles in 40 minutes. How long does it take to run per mile?
Answer:
08 : 00
min : sec
8 minutes each mile
Answer:
0.125 is your answer
Step-by-step explanation:
5/40 = 0.125
EQUATION ---> c/-q+6=14
answer choice
a) c=29
b) c=-72
c) c= 72
d) c= 68 Help please :(
Answer:
c/-9+6=14
c/-9=14-6
c/-9=8
c=8×(-9)
c= -72
Therefore the answer is (b)
Simplify.
3.4 + (–6.3)
–9.9
–2.9
2.9
9.9
what is 4x-8+5x=28 plz help me with this
Answer:
x=4
Step-by-step explanation:
4x-8+5x=28
9x-8=28
Add 8 to both sides.
9x=36
Divide 9 from both sides.
x=4
Hope this helps! Plz give brainliest!
write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)
Answer:
[tex]y = \frac{-2}{3}x + 2[/tex]
Step-by-step explanation:
The first step is convert the given equation in a dependent and independent equation.
[tex]2x + 3y = 12[/tex]
[tex]3y = 12 - 2x[/tex]
[tex]y = 4 - \frac{2}{3}x[/tex]
[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.
Since both lines are parallel the slope of both equations are the same
[tex]y = \frac{-2}{3}x + b[/tex]
Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.
[tex]4 = (\frac{2}{3})3 + b[/tex]
[tex]4 = 2 + b[/tex]
[tex]4 - 2 = b[/tex]
[tex]2 = b[/tex]
So the final equation is equal to
[tex]y = \frac{-2}{3}x + 2[/tex]
Sara was asked by Mr. Rocha to solve the equation below. − 3 x = y + 51 What is the value of x when y has a value of − 9 ?
Answer:
x = - 14
Step-by-step explanation:
Given equation
-3x = y + 51Putting the value of y
-3x = -9+51-3x = 42x = - 42/3x = - 14Hope it's helpful!
ᔕEᒪEᑎᗩ328
The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14.
What is the equation?An equation is said to be linear if the maximum power of the variable is consistently unity.
More than one variable may be present inside a linear equation.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given equation,
-3x = y + 51
At y = -9
-3x = -9 + 51
-3x = 42
x = -14
Hence "The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14".
For more about the equation,
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Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105° 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =
please help (:
Answer:
m∠2 = ______75__
m∠3 = ____105____
m∠4 = _____75___
Step-by-step explanation:
i did the math
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.005 cm in diameter, and Eduardo's strand was 0.012 cm in diameter.
How much greater was the diameter of Eduardo's hair?
What is the equation of this line in standard form?
A: 9x−8y=23
B: 8x−9y=23
C: 8x−9y=−23
D: 8x−7y=−25
Answer:
B:8x-9y=23
Step-by-step explanation:
First find the slope:
m= y2-y1/x2-x1
y2 is 3
y1 is -1
x2 is 1/2
x1 is -4
3-(-1) is 4
1/2-(-4) is 9/2
Now the equation looks likes this:
4 / 9/2
Which can be rewritten as
4*2/9
Thus the slope is 8/9
So the equation is
y=8/9x+b
Now you can substitute to find the y-intercept:
(you can do either (-4,1) or (1/2,3)
I am going to do (1/2,3) since it is easier
3=8/9(1/2)+b
Simplify:
3=4/9+b
Subtract 4/9 on both sides:
b=23/9
Thus the equation is
y=8/9x+23/9
Multiply 9 on both sides:
9y=8x+23
Subtract 8x on both sides:
8x-9y=23
Hope this helps!
convert the following measurements into
the indicated units
1.) 100 m^2
– as ft^2
2.) 2 km _____ ft
3.)2,057 grams - as kg
4.) 1.25 × 10-7 meters - as µm
5.) 6.58 × 104 meters - as km
6.) 2.78 × 10-1 grams - as mg
Answer:
1) 1076.4ft^2
2). 6561.68ft
3). 2.057kg
4). 1.25×10^-1
5). 6.58×10^1km
6). 278mg
PLEASE PLSASE ANSWER THIS
Answer:
a = 57.5
b = 57.5
Step-by-step explanation:
XY=XZ so c=d
[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]
Now draw the XH
So angle YXH = 180 — 90 — 57.5 = 32.5
a+YXH=90
a+32.5=90
so a = 57.5
We know that a + 65 + b = 180
So 57.5 + 65 + b = 180
b = 180 — 122.5
b = 57.5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the above diagram we can conclude that ~
Angle c = Angle a (Alternate interior Angle pair)
Angle d = Angle b (Alternate interior Angle pair)
and,
Angle c = Angle dbecause their opposite sides are equal.
now, according to linear pair property ~
Angle a + Angle b + 65° = 180°replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~
Angle c + Angle d + 65° = 180°2 × Angle c = 180° - 65°(because Angle c = Angle d)
2 × Angle c = 115°Angle c = 115° ÷ 2 Angle c = 57.5° = Angle dSo,
Angle a = Angle c = 57.5°Angle b = Angle d = 57.5°please help with statistic 21
Part A
Extend the table so that we have row and column totals as shown in the diagram below.
There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of
(986/1125)*(986/1125) = 0.7682 which is approximate.
Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.
Answer: The probability is 0.7682 and the events are independent============================================================
Part B
This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 = 0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.
Note the second fraction has each term drop by 1.
The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately
Answer: The probability is 0.7671 and the events are not independent.please help me mate, would ya? please
x=2 y=3 3x2 is 6, then 6-3 is 3.
x=3 y=6 3x3 is 9, then 9-3 is 6
x=4 y=9 3x4 is 12, then 12-3 is 9.
x=9 y=24 3x9 is 27, then 27-3 is 24.
Answer: (2,3) , (3,6) , (4,9) , (9,24)
Step-by-step explanation: In order to get the values of y you need to plug each value of x into the function y=3x-3. to find the value of your first y you would plug in 2 to y=3x-3 which would look like 3(2)-3 and you would solve from here to get y. using PEMDAS 3 times 2 is 6 and 6 minus 3 is 3 making your y value 3 and the point (2,3). If you plug in all the other x's (3,4,9) to the function you will get the values of y for that specific x too.
Hope this helped!
how many miles did Candice bike on her route?
Answer:
200miles per hour andv50 9
the ratio of white marbles to black marbles is 7 to 10. if there are 136 marbles in the bag how many marbles are white?
Answer:
White Marbles: 56
Step-by-step explanation:
Let number of white marbles be x
7/10=x/136-x
10x=7(136-x)
10x=952-7x
17x=952
x=56
Answer:
56
Step-by-step explanation:
7/17 * 136 = 56.
What is -3m + 5m = -14? With work provided
Answer:
-7
Step-by-step explanation:
-3m+5m=-14
2m=-14
divide both sides by 2
m=-7
Answer:-3+5m is -8m
Step-by-step explanation: Because the 3 is negative and it is plus
Please answer
It’s Pythagoras btw
ASAP
Answer:
X=11.979425
Step-by-step explanation:
Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727
Find the product
(y-3)(y-4)
Answer:
y^2-7y+12
Step-by-step explanation:
muliply each unit of the first parentheses by the second
A cylinder has a height of 30 ft and a volume of 63.679 ft3. What is the radius of the cylinder?
Round your answer to the nearest whole number
Answer:
26 ft
Step-by-step explanation:
The graph of y=f(x) is above. If f(-4)=k, what is the value of f(k)?
(A) -2
(B) -1.5
(C) -1
(D) 1
(E) 3
Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?
Answer:
1270 a month on expenses
Answer:
1270 a month
Step-by-step explanation:
There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270
What is the square root of 8 and 24?
Answer:
√8 = 2.828427125
√24 = 4.89897948557
Fifteen less than the product of
seven and a number is four
What is this in number form
Answer:
the product of some number (call it x) and 7 is:
7⋅x or just 7x
now take 15 less than that:
7x−15 or y=7x−15
whats 50 times 100 the answer
Answer: 50 * 100 = 5000
Step-by-step explanation:
a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number
100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000
Answer: 5O x IOO = 5OOO
Step-by-step explanation:
5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.
What is the slope of the equation Y = 5/4x-7/4
A. -7
B. -7/4
C. 5/4
D. 5
Answer:
C. 5/4
Step-by-step explanation:
Slope formula is y=mx+b so your slope is m
In your equation y=5/4x-7/4, your slope is where m would be, so 5/4
Answer:
the slope of the equation is 5/4
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
7(7 – 9)
Question 15 options:
Answer: The answer is 40.
Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.
Which equation represents a line which is parallel to y = 0?
A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y
Answer:
y=3
Step-by-step explanation:
Horizontal Lines
The Pie Problem!
Question: The Morgans had pumpkin pie for their Thanksgiving dessert.
The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate
her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion
How much of the ple is left after the daughter ate her portion?
Answer:
1/12
Step-by-step explanation:
find the least common multiple of the denominators.
which is 12
so 1/4=3/12
2/3=8/12
1/2=6/12
so 3/12- 8/12 - 6/12 = -11/12
so there is 1/12th pieces left after they all ate their portions of the pie
