Answer:
y = 42x + 75
Step-by-step explanation:
Using the equation of a line in the form
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁) = m where m is the slope of the line
Let x be the number of hours the electrician works in a single visit, and let y be the total amount, in dollars, that the electrician charged for the visit.
Since the electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. where x₁ = 2.5 hours, y₁ = $ 180, x₂ = 4 hours and y₂ = $ 243
We find the slope of the line, m
m = (243 - 180)/(4 - 2.5) = (243 - 180)/(4 - 2.5) = 63/1.5 = 42
Since m = (y - y₁)/(x - x₁) ,
42 = (y - 180)/(x - 2.5)
cross-multiplying, we have
42(x - 2.5) = (y - 180)
expanding the bracket, we have
42x - 105 = y - 180
adding 180 to both sides, we have
42x - 105 + 180 = y - 180 + 180
42x + 75 = y
y = 42x + 75
The linear equation that relates the total cost to the time worked is:
[tex]y = 42x + 75[/tex]
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function has two points: (2.5, 180) and (4, 243).
The slope is given by change in y divided by change in x, hence:
[tex]m = \frac{243 - 180}{4 - 2.5} = 42[/tex]
Then:
[tex]y = 42x + b[/tex]
Considering point (2.5, 180), we have that when x = 2.5, y = 180, which is used to find b.
[tex]y = 42x + b[/tex]
[tex]180 = 42(2.5) + b[/tex]
[tex]b = 75[/tex]
Hence, the function is:
[tex]y = 42x + 75[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
the circumference of a circle is 6.908 kilometers. what is the circles diameter?
Answer:
2.19888km
Step-by-step explanation:
C=2πr
d=2r
d=C
π=6.91
π≈2.19888km
Answer: The diameter rounded to the nearest hundredth is 2.20 kilometer, if you need to round to a different place value, the work is shown below.
Good Luck!
Step-by-step explanation:
C = πd
6.908 = πd
π π
2.198884694...kilometers = d
Please help. Josh threw darts at a dartboard 10 times. Assume that he threw the darts randomly and did not aim. Based on his results (the picture), what is the experimental probability that Josh's next dart will land in the center circle?
Answer:
1/10 or 10%
...........
Meg and Theo each thought of five numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg'snumbers? A Each of Theo's numbers is 2 more than Meg's corresponding number, because Theo adds 2 more than Meg to get the next number. B Each of Theo's numbers is half of Meg's corresponding number, because Theo adds half as much as Meg to get the next number. C Each of Theo's numbers is 4 more than Meg's corresponding number, because Theo adds 4 each time to get the next number. D Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Answer:
D. Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
Step-by-step explanation:
Meg = 0, 2, 4, 6, 8
Theo = 0, 4, 8, 12, 16
Second number of Theo is 4 which is double of 2 (Meg second number)
This applies to the third, fourth and fifth number of Theo
Therefore,
Each of Theo's numbers is double Meg's corresponding number, because Theo adds twice as much as Meg to get the next number.
During a game, a basketball team scored 38 points worth of two-pointers, 33
points worth of three-pointers, and 8 points worth of free throws. How many
shots did the basketball team make during the game?
shots
(Hint: A free throw is worth one point).
Answer:
I think the answer would be :
19 + 11 + 8 = 38 .
Answer:
19 + 11 + 8 = 38 .
Step-by-step explanation:
Pls help ASAP I don’t get this
Answer:
The answer is C) y=(4/7) x
Please help I'm in class rn
Answer:
I graphed it for you in the file attached, and I solved for Y in the other file attached. Your welcome!
Step-by-step explanation:
I really hope this helps, and I hope you have a great day!
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
3.9 cm
Step-by-step explanation:
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
We can solve the above question using Pythagoras Theorem
Hypotenuse ² = Opposite ² + Adjacent ²
From the above question
Hypotenuse = 4 cm
1 leg = Opposite = 1 cm
Other leg = Adjacent = x
Hence
4² = 1 ² + x²
x² = 4² - 1²
x = √ 16 - 1
x = √15
x = 3.8729833462 cm
Approximately to the nearest tenth = 3.9 cm
The measure of the other leg is 3.9 cm
78 is 65% of what number (can someone explain how to solve this?)
Answer:
120
Step-by-step explanation:
78 is 65% of what number.
Let's break down this expression.
In this case "is" means "equals" so we will use the equal sign (=)
65% can be written as 0.65 or 65/100
"of" indicates multiplication
"what number" will be represented by x.
Now, put this all together.
78 = 0.65 • x
To solve for x, divide both sides by 0.65
120 = x
This is your answer.
Check this by finding 65% of 120.
0.65 • 120 = 78
Your answer is correct.
Hope this helps!
A bag contains 6 red marbles, 5 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Answer: 5.8%
Step-by-step explanation:
In this situation there is no replacement so we have to mulitply the probablilty of the first,second, and third marble being green. First marble has a 8/19 probablilty of being selected because 19 total marbles in the bag and 8 green marbles. the next marble will have a 7/18 probabililty because now only 18 marble are in the bag and we are assuming we selected a green marble on our first draw. Same thing with the last green marble it would be 6/17 because there would be 17 marbles in the bag and 6 green ones left assuming we got the first 2
so 8/19*7/18*6/17=
56/969=
0.05779
5.77%
5.8%
can someone fill this for me?
Answer:
6.2 by the power of 0 pulse 3
Step-by-step explanation:
What is the volume of a cube with 1/2
inch sides?
Answer:
1/8 in.
Step-by-step explanation:
1/2*1/2*1/2=1/8
Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
HELP ME NOW ASAP PLEASE
Answer:
D. There are points on the graph with the same [tex]x[/tex]-coordinate but different [tex]y[/tex]-coordinate.
Step-by-step explanation:
A relation is a function if and only if each element of the range, corresponding with y-axis, is associated with only one element of the domain, corresponding with x-axis. In this case, the graphed relation is not a function, since for all element of the domain, except 0, are related to two distinct elements of the range.
Hence, correct answer is D.
pls answer it now!!
argatogozaimasu!!
Answer:
850 and 23
Step-by-step explanation:
diagram not drawn to scale
please helppp
Answer:
144?
Step-by-step explanation:
1) plot the point with coordinates (3,2) label this point A
b) write down the coordinates of the midpoint of BC
simplify: ,3(x-2) + 2(2x+5) =32, a+2a+7a
Answer:
x = 4, 10a
Step-by-step explanation:
3(x-2) + 2(2x+5) = 32
3x - 6 + 4x + 10 = 32
3x + 4x + 10 - 6 = 32
7x + 4 = 32
7x = 32 - 4
7x = 28
Divide both side by 7
x = 4
a + 2a + 7a
They are common because the have the same variables.
'a' is with a coefficient of 1
You add the coefficient and attach the variable to it
Therefore,
a + 2a + 7a = 10a
If triangle BNV ~ triangle BRG, BR=4x+7 and BG= 18 find the value of x
Answer:
x=5
Step-by-step explanation:
The value of [x] would be 4.17.
What is triangle?A triangle is a polygon with three edges and three vertices.
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is triangle BNV is similar triangle BRG,
Since triangle BNV is similar triangle BRG, we can write -
4x + 7 = 18
4x = 25
x = 4.17
Therefore, the value of [x] would be 4.17.
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ5
What is 3.2 × 10^3 × 2000 in standard form
Answer:
The answer is
6.4×10^6
7th grade math again Imao sorry
but ik its a lot but plss
17: -15x +0
18: -17x= -204
19: 21= -7n
20: m/4 = -13
22: -143= 11x
23: -16 + x = --15
26: n-8=-10
27: v/7 =8
28: a+11=20
30: 18+m=8
Answer:
Down below
Step-by-step explanation:
17: -15x
18: 12
19: -3
20: -52
22: -13
23: 31
26: -2
27: 56
28: 9
30: -10
Order the side from greatest to least.
Η.
28°
118°
K
J
side [Select ]
Answer:
HJ>KJ>HK
Step-by-step explanation:
Side opposite to the largest angle is the largest.
Side opposite to smallest angle is the smallest.
ang K = 118° ang J = 28°
ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)
118°+28°+angH=180° (Putting the values of ang K & ang J)
146°+angH=180°
ang H=180°-146°
ang H=34°
128°>34°>28°
ang K>ang H>ang J
Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.
Smaller than ang K and bigger than ang J is ang H, so the side opposite to it i.e. KJ will be smaller than HJ but bigger than HK.
Ang J is the smallest angle, so the side opposite to it i.e. HK will be the smallest.
HJ>KJ>HK.
Find the circumference of a circle with an area of 1809.56 square centimeters
Answer:
150.8cm
Step-by-step explanation:
Area= π r²
make r subject of the formula
A = π r²
A/π= πr² (dividing both sides by π)
r²= A/ π
r =
[tex] \sqrt{ \frac{a}{\pi} } [/tex]
r=√(1809.56)/(π)
r=√576.0008
r≈24cm
:. circumference= 2π r
= 2× π × 24
=150.7964
≈150.8cm
Calculate the missing angle measure of each triangle on the left butterfly wing. Write the angle measure inside the angle. The right butterfly wing is a reflection of the left butterfly wing and corresponding angles are congruent.
Answer:
See attached
The angle measures added.
One side is colored for you, you can do same for the other side
help no link pls pls pls pls
Answer:
7
Step-by-step explanation:
because 5 times 7 = 35 so you have to divide 49 and 7 and you get 7, and 7 times 7 is 49, so it makes sense
find voumle will mark brain list
Answer:
98.28
Step-by-step explanation:
Multiply length x width x height
James works at a shop and earns 5.5% commission on his sales. Last month, he earned $265.32 in commission. Calculate his sales for the month.
Answer:
$14.59
Step-by-step explanation:
commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.
what is the formula to find the area of a triangle? choose all that apply
Answer:
the second and thrid one :)
Step-by-step explanation:
six times the sum of nine and a number
Answer:
6(9+x)
Step-by-step explanation:
Answer:
[tex]6(x + 9)[/tex]
mmm it's according to me
A = 6x – 2
B = 4x + 48
Answer:
X=25
angle A=148
Step-by-step explanation:
since they are alternating angles
A=B
6x-2=4X+48
solve for X
6x-4x=48+2
2x=50
X=25
angle A= 148
Answer:
148
Step-by-step explanation:
I got it right on khan
Help!
This is for Patterns, Functions, and Algebra!
Answer:
C.
Step-by-step explanation:
The answer is C