A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
Answers
Answer:
235
Step-by-step explanation:
Figure the rates per hr.
110/3 = 36 2/3
160/5 = 32.
So, the rates are not the same.
Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.
In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).
We're given two pairs of values:
(3,110) and (5,160).
The next step is to fit a line to them.
y = mx+b is the general equation for a line.
m = the slope = rise/run = change in y / change in x
Call the change in y, dy (for delta y).
Call the change in x, dx (for delta x).
m = dy/dx = 50/2 = 25
The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.
We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.
y = 25x + 35
Checking this formula at x=3, we know it is 110.
Checking it at x=5, we obtain:
y = 25*5 + 35 = 125 + 35 = 160.
That checks.
Now to figure an 8-hr job, set x=8 and use the equation"
y = 25*8 + 35.
y = 200 + 35.
y = 235.
That means an 8-hr job costs $235.
Related Questions
Consider the standard form of an exponential function:
\(y=a(b)^x\)
How does changing the base number (inside the parentheses) change your graph?
Answers
Answer:
Step-by-step explanation:
Challenge 1
We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.
If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.
Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).
Remember that b cannot be negative.
===========================================
Challenge 2
In the general template provided, enter x = 0.
y = a(b)^x
y = a(b)^0
y = a(1) (1)
y = a
When x = 0 is plugged in, the result is y = a.
The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.
Examples:
according to this problem what is 567443x44+12=
Answers
Answer: 24967504
Step-by-step explanation:
Identify the true statement about the given patterns. Pattern C: 4, 5, 6, 7, 8, ... Pattern D: 2, 3, 4, 5, 6, ... The terms in Pattern D are 2 more than the terms in Pattern C. The terms in Pattern D are 1 more than the terms in Pattern C. The terms in Pattern C are 2 times the terms in Pattern D. The terms in Pattern C are 2 more than the terms in Pattern D. NEXT QUESTION
Answers
Answer:D
Step-by-step explanation:
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
1) + 19 - 21 = -2 (a positive 19 combined with a negative 21 = -2)
2) - 20 _ -2 = -22
3) 29 _ -13 = 16
4) -16 _ -17 = -33
5) -19 _ 3 = -22
6) 98 _ -2 = 100
7) -112 _ -13 = -125
8) 111 _ -1 = 110
9) -72 _ 8 = -64
10) 80 _ -6 = 86
11) 99 _ -2 = 97
12) 13 _ -1 = 14
Answers
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answers
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
I need help pleaseeeee
Answers
Answer:
i dont see anything
Step-by-step explanation:
Right: 2
Left: 20
Light travels from the sun at 1.12 x 107 miles per minute. The planet, Mars, is approximately 1.42 x 108 miles away from the sun.
What is the approximate amount of time, in minutes, for light to travel from the Sun to Mars? Write your answer in scientific notation rounded to the nearest hundredth.
Answers
Answer:
Time = 1.27 x 10^1 minutes
Step-by-step explanation:
To calculate the approximate amount of time it takes for light to travel from the Sun to Mars, we can divide the distance between them by the speed of light.
Given:
Speed of light = 1.12 x 10^7 miles per minute
Distance between the Sun and Mars = 1.42 x 10^8 miles
Time = Distance / Speed
Time = (1.42 x 10^8 miles) / (1.12 x 10^7 miles per minute)
Time = (1.42 / 1.12) x 10^(8 - 7) minutes
Time = 1.27 x 10^1 minutes
Rounded to the nearest hundredth, the approximate amount of time for light to travel from the Sun to Mars is 12.70 minutes in scientific notation.
Time = Distance / Speed
Given:
Speed of light = 1.12 x 10^7 miles per minute
Distance from the Sun to Mars = 1.42 x 10^8 miles
Time = (1.42 x 10^8 miles) / (1.12 x 10^7 miles per minute)
To simplify the calculation, we can divide the numerical values and subtract the exponents:
Time = 1.42 / 1.12 x 10^(8 - 7) minutes
Time = 1.27 x 10^1 minutes
Rounding to the nearest hundredth, the approximate amount of time for light to travel from the Sun to Mars is 12.7 minutes in scientific notation.
I need help on this math
Answers
Answer:
y = 2... Maybe
Step-by-step explanation:
both 7,2 and 2,12 have to in them but I am not that smart when it comes to explaining
Answer:
y = -2x + 16
Step-by-step explanation:
\(Slope:\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{12-2}{2-7}=\frac{10}{-5}=-2\)
\(y-intercept:y-y_{1}=m(x-x_{1} ) \\y-2=-2(x-7)\\y-2=-2x+14\\\)
Add 2 to both sides;
y = -2x + 16
Can you solve this for me? Thanks! :>
Answers
Answer:
Hickory, Delway, Midway, Ridgecrest
Step-by-step explanation:
So this question deals with negative numbers, which are like positive numbers but ordered backwards. (Example: -3, -2, -1, 0, 1, 2, 3)
In that case, the correct order would be -10, -8, -2, 3. Also known as Hickory, Delway, Midway, Ridgecrest.
I hope this helped! :)
What is the solution of the equation n+13=30 ?
Answers
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
write the equation of the line passing through the points (-1,2) and (3,4)
Answers
Answer:
\({y=\frac{1}{2}x+\frac{5}{2}\)
Step-by-step explanation:
We can write the equation in slope intercept form.
\(y=mx+b\)
Finding Slope:Slope is (rise/run). \(m=\frac{y_2-y_1}{x_2-x_1}\)
We are given the points (-1,2) and (3,4).
\(\frac{4-2}{3+1}=\frac{2}{4}=\frac{1}{2}\)
The slope is 1/2.
Finding Y-intercept:We can use the equation \(y=\frac{1}{2}x+b\) to solve for the y-intercept.
Replace 'y' and 'x' with a given point and solve for 'b'. I will use (3,4).
\(4=\frac{1}{2}(3)+b\\\\4=\frac{3}{2}+b\\\\\frac{3}{2}+b=4\\\\\frac{3}{2}-\frac{3}{2}+b= 4-\frac{3}{2}\\\\\)
\(b=\frac{5}{2}\)
The y-intercept is 5/2.
Final Equation:As stated above, slope intercept form is \(y=mx+b\). 'M' is the slope and 'b' is the y-intercept.
We are given the slope of 1/2 and the y-intercept of 5/2.
\(y=mx+b\rightarrow\huge\boxed{y=\frac{1}{2}x+\frac{5}{2}}\)
i need h e l p
A new roller coaster just opened at Friday Fun Park. When Lisa got in line, a sign said the wait from that point would be 45 minutes. The actual wait was only 35 minutes. What is the percent error for the park sign's estimate?
If necessary, round your answer to the nearest tenth of a percent.
Answers
Answer: 28.6%
Step-by-step explanation:
To calculate the percent error:
1) Subtract the estimated amount by the actual amount
45-35=10
2) Divide the answer by the actual amount
10/35=0.2857
3) Multiply the answer by 100 to get the percent error
0.2857×100=28.57
Rounded that equals 28.6%
Answer: hope this helps ♡
The percent error for the park sign's estimate is 29%.
Step-by-step explanation:
45 - 35 = 10
(10 out of 35 because it's the actual amount)
10 of 35 in percentage:
(10 ÷ 35) × 100 =
0.28571..... × 100 =
28.5714.....% ≈ 29%
ihopemyasnweriscorrect :)
Help: The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 2, 5
3 1, 3, 4
4 1, 1, 5
5 0, 6
6 7
Key: 3|1 means 3.1
What is the mean, and what does it tell you in terms of the problem?
A.3.1 feet; The value means the furthest the ball went.
B.3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
C.4.1 feet; The value means this measurement had the most occurrences.
D.4.65 feet; The value means that a typical throw of the ball results in 4.65 feet.
Answers
Answer: B) 3.875
Step-by-step explanation:
To start off, finding the mean is the AVERAGE. To find the average, you must add all of the values, and divide by however many values there are (in this case, there are 12) So first add all of the values:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2+2.2+2.5+3.1+3.3+3.4+4.1+4.1+4.5+5+5.6+6.7 = 46.5 (or 46.50)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
next, you divide 46.5 by however many values there are (in this case, there are 12)
So, 46.5 / 12 is equal to 3.875
This tells us that the average distance of the throw is 3.875 feet
Therefore, the correct answer is B.3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
HOPE THIS HELPS YOU! HAVE A GOOD DAY!
Can someone please help me-?
Answers
Answer:
Step-by-step explanation:
I wanted to reach out and apologize for the mistake that occurred. I understand that it caused some inconvenience and take full responsibility for it. Please know that it was not intentional and I am committed to ensuring that it does not happen again. Thank you for being so understanding and please let me know if there is anything else I can do to make things right.
A spinner is divided into five sections, labeled A, B, C, D, and E. Devon spins the spinner 50 times and records the results in the table.
Based on the table above, make a prediction for 200 trials.
Answers
Answer:
Prediction for 200 trials: A- 40 times, B- 56 times, C- 48 times, D- 32 times, E- 24 times
Step-by-step explanation:
A=10/50=1/5 (then multiply by 200)
B=14/50=7/25 (then multiply by 200)
C=12/50=6/25 (then multiply by 200)
D=8/50=4/25 (then multiply by 200)
E=6/50=3/25 (then multiply by 200)
In the 50 trials, we see that section A occurred 9 times out of 50, or 18% of the time. Similarly, section B occurred 10 times out of 50, or 20% of the time. Section C occurred 15 times out of 50, or 30% of the time. Section D occurred 8 times out of 50, or 16% of the time. Finally, section E occurred 8 times out of 50, or 16% of the time.
Assuming that the same proportion holds for 200 trials, we can predict the number of occurrences for each section as follows:
- A: 0.18 x 200 = 36 occurrences
- B: 0.20 x 200 = 40 occurrences
- C: 0.30 x 200 = 60 occurrences
- D: 0.16 x 200 = 32 occurrences
- E: 0.16 x 200 = 32 occurrences
Therefore, based on the table above, we can predict that in 200 trials, section C will occur the most frequently (60 times), followed by section B (40 times), section A (36 times), and sections D and E equally (32 times each). It's important to note that this is just a prediction based on the observed data, and the actual results may vary due to chance.
Write a division equation to show 100 ounces of soda divided equally among 12 people. How many ounces will each person have? Express the answer as a mixed number.
Answers
Answer:
100/12=8 1/3
Step-by-step explanation:
Hope this helps
The required equation is 100/12 = 8 1/3 which shows 100 ounces of soda divided equally among 12 people.
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use.
Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
There are 100 ounces of soda divided equally among 12 people.
According to the given information, the algebraic form would be as:
⇒ 100/12 = 25/3
Expressing the solution as a mixed number.
⇒ 100/12 = 8 1/3
Therefore, the required equation is 100/12 = 8 1/3 which shows 100 ounces of soda divided equally among 12 people.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
What is 3+100
I hope you guys have a wonderful rest of your day/night/afternoon! Im going to bed
The admin deleted my last question :) i hate you admin. Love you all! Goog night (for people in my area)
Answers
Answer:
103!
Step-by-step explanation:
You just add 100 and then count 3 more.
you bought a magazine for $5 and four erasers. you spent a total of $25. how much did the eraser cost?
Answers
Answer:
1 eraser = $54 erasers = $20Step-by-step explanation:
Given that,
→ Magazine = $5
→ Total cost = $25
→ 1 eraser = x
The equation will be,
→ 4x + 5 = 25
Now the value of x will be,
→ 4x + 5 = 25
→ 4x = 25 - 5
→ x = 20/4
→ [ x = $5 ]
Hence, value of x is $5.
Total= $25- $5 magazine leaves you with $20. You bought 4 erasers so you do 20/4 which is $5
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Find the area of a circle that has the radius given below. Use \frac{{22}} {7} for π.
r = \frac{1} {2} in.
Answers
Answer:
I dont know Im just that crazy
Step-by-step explanation:
find the area of this shape
Answers
Answer:
area of large triangle=1/2× 14×9=63
area of small triangle=1/2×4××14=28
total area=63+28=91
help me out? :)
*******************************************
Answers
Answer:
C
Step-by-step explanation:
Solve using 2 step equations
x/2-8=19
+8 +8
x/2=27
*2 *2
x=54
Hope I helped you out
Answer:
C. 54
Step-by-step explanation:
Isolate the variable.
\(\frac{x}{2} -8=19\)
Add 8 to both sides
\(\frac{x}{2} = 27\)
Multiply both sides by 2
\(x=54\\\)
Here is the last answers...
Answers
Step-by-step explanation:
You are finding the whole
0.7 × 20 = 14
or
70% of 20 = 7/10 x 20 = 7/10 x 20/1 = 140/10
140/10
140/10 = 14/1
The minimum number of questions he need to do are 14
I'm not sure if you are finding the part or the whole
let me know if im wrong
ASAP PLS I NEED IT AND TY
Answers
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
Solving the QuestionWe're given:
Original side length is 2.5 unitsScale factor = 6Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
Answer15 units
Answer:
6
Step-by-step explanation:
A triangular prism is attached to a rectangular prism as shown below.
If w = 8 inches, x = 5 inches, y = 20 inches, and z = 11.3 inches, what is the total surface area of the EXTERIOR FACES of the figure?
(Answer choices in picture!!) (I WILL GIVE BRAINLIEST)
Answers
Surface area of the triangular prism:
The triangular prism has two triangular faces and three rectangular faces.
The triangular faces have base (x) of 5 inches and height (y) of 20 inches. The surface area of each triangular face is (1/2) * base * height = (1/2) * 5 * 20 = 50 square inches.
The rectangular faces have dimensions (w, y, and z) of 8 inches, 20 inches, and 11.3 inches, respectively. The surface area of each rectangular face is length * width. Adding the surface areas of the three rectangular faces, we get: 2 * (w * y) + 2 * (w * z) + 2 * (y * z) = 2 * (8 * 20) + 2 * (8 * 11.3) + 2 * (20 * 11.3) = 320 + 180.8 + 452 = 952.8 square inches.
Surface area of the rectangular prism:
The rectangular prism has six rectangular faces.
The dimensions of the rectangular prism are (w, x, and y) of 8 inches, 5 inches, and 20 inches, respectively. The surface area of each rectangular face is length * width. Adding the surface areas of the six rectangular faces, we get: 2 * (w * x) + 2 * (w * y) + 2 * (x * y) = 2 * (8 * 5) + 2 * (8 * 20) + 2 * (5 * 20) = 80 + 320 + 200 = 600 square inches.
Total surface area of the exterior faces:
To find the total surface area of the exterior faces, we add the surface areas of the triangular prism and the rectangular prism: 50 + 952.8 + 600 = 1,602.8 square inches.
Therefore, the total surface area of the exterior faces of the figure is approximately 1,602.8 square inches. However, none of the given answer choices match this value. Please recheck the given dimensions or options provided.
(05.02) PLEASE ACTUALLY ANSWER AND EXPLAIN WELL!! :)
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 80° angle and the 60° angle.
Write and solve an equation to determine the measure of angle x. (5 points)
Answers
Answer:
x = 40°Step-by-step explanation:
Straight angle is equal to 180°
Angle x, 60° and 80° form a straight angle.
Then we have following equation to solve for x:
x + 60° + 80° = 180°x + 140° = 180°x = 180° - 140°x = 40°Hope this helps!!
Julian exercises 5 times a week. She runs 3 miles each morning and bikes in the evening. If she exercises a total of 30 miles for the week, how many miles does she bike in the evening?
Answers
Answer:
she bikes 9 miles
Step-by-step explanation:
PLEASE HELP!!!!!
Arron had 7 boards measuring 2 1/4 ft. each. How long are all the boards if placed end to end? Just put the answer not feet.
Answers
Answer:
16 3/4
Step-by-step explanation:
sorry if I am wrong I am not sure if this is right
Abe, Bobby, Charles, Devin and Edwin are the participants in a race. How many different 1st-2nd-3rd place outcomes are possible if there are no ties? Order does matter!
Answers
Answer:
There are 60 different outcomes.
Step-by-step explanation:
For each of these possibilities, there are four remaining possibilities for second place-we then multiply five and four. For third place, we have three remaining possibilities for each of the preceding results--calculate the product of five, four, and three, which is 60.
4*3*5=60
For more information https://www.universalclass.com/articles/math/statistics/probability-calculate-number-of-outcomes.htm#:~:text=For%20first%20place%2C%20there%20are%20five%20different%20possible,of%20five%2C%20four%2C%20and%20three%2C%20which%20is%2060.
please give brainly:)