Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $190, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
Answers
After solving equation , the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).
what is equation?A mathematical assertion that demonstrates the equality of two expressions is called an equation The equals symbol (=) is used to denote the separation of two phrases. Numerous mathematical ideas and relationships, including linear functions, quadratic functions, and trigonometric functions, can be represented by equations.
Let's use the letter 'h' to indicate how many hours the plumber put in.
The plumber costs $35 to come to Jerald's residence and $50 for every hour they work. If Jerald is charged a total of $190 by the plumber, the following equation can be written:
$50h + $35 = $190
To solve for 'h,' we obtain:
$50h = $190 - $35
$50h = $155
h = 155 / 50
h = 3.1
Consequently, the plumber put in 3.1 hours of work (or 3 hours, 6 minutes).
To know more about equation visit:
brainly.com/question/29657983
#SPJ1
Related Questions
1cm=50km
40cm=?
Help! I can not figure this out
Answers
The answer is 40cm = 2000km
The unit rate is 50km per cm, so 40cm is 40*50 km
40*50= 2000km
Answer:
i like your cut
Step-by-step explanation:
Solve for b.
3 ( b - 4 ) + 5b = 44
b =
Answers
Step-by-step explanation:
so the first thing you need to do is open the brackets, so 3 times( b-4) equals to 3b-12. so until here very easy already. then just move all your number to the right except the variables. so like this you may get your answer
8b-12=44
8b=56
b=7
2. A town is planning a circular walkway that will be 2 meters wide. The walkway will have an inter radius of 5 meters with a circumference of about 31. 4 meters. Find the area of the wallway
Answers
The area of the walkway is 24π square meters.
To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.
The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).
A_inner = π * \(5^{2}\) = 25π square meters.
The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.
The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).
A_outer = π * \(7^{2}\) = 49π square meters.
Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.
A_walkway = 49π - 25π = 24π square meters.
The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.
To learn more about area here:
https://brainly.com/question/32312055
#SPJ4
PLS ANSWER ASAP, NO LINKS OR I WILL REPORT U
Answers
Answer:
B.
Step-by-step explanation:
what does the slope of a beer's law plot represent
Answers
The slope of a beer's law plot represents that one can quantitatively determine the molar absorptivity of a substance, which is essential for accurately determining concentrations of unknown samples using spectrophotometric methods.
In Beer's law, the relationship between the concentration of a substance and its absorbance is described by the equation A = εbc, where A is the absorbance, ε is the molar absorptivity (also known as the molar absorptivity coefficient), b is the path length of the sample, and c is the concentration of the substance.
When plotting a graph of absorbance versus concentration, the slope of the line represents the molar absorptivity (ε). The molar absorptivity is a constant that reflects the substance's ability to absorb light at a specific wavelength. A higher molar absorptivity indicates that the substance has a greater tendency to absorb light and is more sensitive to changes in concentration.
Conversely, a lower molar absorptivity indicates weaker absorption characteristics.
In summary, by measuring the slope of the Beer's law plot, one can quantitatively determine the molar absorptivity of a substance.
To know more about Beer's law, refer here:
https://brainly.com/question/30762062#
#SPJ11
A car was purchased for $20,000. The car depreciates by 27% each year. What is the value of the car when it is 12 years old?
Answers
Answer:
Below
Step-by-step explanation:
Losing 27 % of value each year means it retains 73% each year
we need to multiply 20 000 x .73 x .73 x .73 .... .73 (twelve times )
or re-written as 20 000 * .73^12 = value =$ 458.04
how to do Pythagorean Theorem
Answers
Answer:
pythagorean theorem is a^2 +b^2=c^2
Step-by-step explanation:
basically the two shorter sides added together squared is equal to the longest side squared. if trying to find the length of the longest sidee you just have to do the square root of a^2+b^2
The electric potential of a point charge Q located at the origin of the Cartesian coordinate system is V=
4πε
0
(x
2
+y
2
+z
2
)
1/2
Q
. Find the corresponding electric field E. (a) E=
4πε
0
Q
(x
2
+y
2
+z
2
)
1/2
x
x
^
+y
y
^
+z
z
^
(b) E=
4πε
0
Q
(x
2
+y
2
+z
2
)
2
x
x
^
+y
y
^
+z
z
^
(c) E=
4πε
0
Q
(x
2
+y
2
+z
2
)
x
x
^
+y
y
^
+z
z
^
(d) E=
4πε
0
Q
(x
2
+y
2
+z
2
)
3/2
x
x
^
+y
y
^
+z
z
^
Answers
The correct option that represents the electric field is:
Option D: E = 4πε₀Q(x² + y² + z²)^(3/2)x^ + y^ + z^
How to find the Electric Field using partial Derivatives?The electric field is given by the formula:
E = -∇V
where:
∇ is the del operator, which in Cartesian coordinates is represented as:
∇ = (∂/∂x)x^ + (∂/∂y)y^ + (∂/∂z)z^
Taking the negative gradient of V gives us:
E = -∇V = -[(∂V/∂x)x^ + (∂V/∂y)y^ + (∂V/∂z)z^]
First, let's calculate the partial derivatives of V with respect to x, y, and z:
(∂V/∂x) = (∂/∂x)[4πε₀(Q/√(x² + y² + z²))]
= -4πε₀(Qx/√(x² + y² + z²)³)
(∂V/∂y) = (∂/∂y) [4πε₀(Q/√(x² + y² + z²))]
= -4πε₀(Qy/√(x² + y² + z²)³)
(∂V/∂z) = (∂/∂z) [4πε₀(Q/√(x² + y² + z²))]
= -4πε₀(Qz/√(x² + y² + z²)³)
Now, substituting these derivatives into the expression for E:
E = -[(-4πε₀(Qx/√(x² + y² + z²)³))x^ + (-4πε₀(Qy/√(x² + y² + z²)³))y^ + (-4πε₀(Qz/√(x² + y² + z²)³))z^]
Simplifying, we have:
E = 4πε₀Q(x/√(x² + y² + z²)³)x^ + 4πε₀Q(y/√(x² + y² + z²)³)y^ + 4πε₀Q(z/√(x² + y² + z²)³) z^
Therefore, the correct option is:
(d) E = 4πε₀Q(x² + y² + z²)^(3/2)x^ + y^ + z^
Read more about Electric field at: https://brainly.com/question/32891246
#SPJ1
What’s a? Please help!!
Answers
Answer:
a = - 3
Step-by-step explanation:
r² - 6r + 9
consider the factors of the constant term (+ 9) which sum to give the coefficient of the r- term (- 6)
the factors are - 3 and - 3 , since
- 3 × - 3 = + 9 and - 3 - 3 = - 6 , then
r² - 6r + 9
= (r - 3)(r - 3)
= (r - 3)² ← in the form (r + a)²
with a = - 3
What is two plus 99 plus 99 plus 2121 7676
Answers
Answer:
21 218076
Step-by-step explanation:
21 217 876 + 99 + 99 + 2 = 21 218076
The garden shown at right is divided into two section by a fence. If the quadrilateral section is a square, what is the square area? (6ft : 8ft)
Answers
The area of the triangle is 24 ft² while the area of the square is 64 ft²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Area of triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²
Area of square = 8 ft * 8 ft = 64 ft²
The area of the triangle is 24 ft² while the area of the square is 64 ft²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Diane pays $3.84 for a bag of 16 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answers
Select three ratios that are equivalent to 5 : 2 The options are...
A. 2 : 5
B. 10 : 4
C. 20 : 50
D. 35 : 14
E. 55 : 22. HELP PLEASE
Answers
Answer:
B,D and E
Step-by-step explanation:
Answer:
10:4 (B), 35,14 (D), 55:22 (E)
Step-by-step explanation:
1st Option
Multiply 5 and 2 by 2
5*2:2*2
10:4 (B)
2nd Option
Multiply 5 and 2 by 7
5*7:2*7
35:14 (D)
3rd Option
Multiply 5 and 2 by 11
5*11:2*11
55:22 (E)
While playing basketball, Shaquille O’Neal made 58.2% of his field goal attempts during a game and 52.7% of his free throws. Determine the expected value of each of Shaq’s field goal attempts, 2 and 0.
Answers
Answer:
P(outcomes 2) = 0.584
P(outcome 0) = 0.412
Expected value = 1.164
Step-by-step explanation:
Given the following :
Percentage success of field goal attempt made during a game = 58.2%
Therefore, probability of success = 58.2 / 100 = 0.582
Probability of failure = 1 - P(success)
P(failure) = 1 - 0.582 = 0.412
Upon a successful goal attempt made, 2 points is scored while a miss or failure earns 0 point.
Therefore, Expected value of each of Shaquille O'Neal's goal attempt is:
(2 × 0.582) + (0 × 0.412)
1.164 + 0 = 1.164
Therefore :
P(outcomes 2) = 0.584
P(outcome 0) = 0.412
Expected value = 1.164
the total surface area of each figurefigure iv find surface area and volume
Answers
Given:
In a given figure,
The length of the sides of the triangle is 4, 13, and 15.
The dimensions of one rectangle are 4 by 6.
The dimensions of one rectangle are 13 by 6.
The dimensions of one rectangle are 15 by 6.
To find:
The total surface area and volume.
Explanation:
The total surface area of the figure is,
\(A=2\times Area\text{ of the triangle+Area of the rectangle 1 + Area of the rectangle 2 +Area of the rectangle 3.}\)Using the heron's formula,
\(\begin{gathered} S=\frac{a+b+c}{2} \\ =\frac{4+13+15}{2} \\ =\frac{32}{2} \\ s=16 \end{gathered}\)The area of the triangle will be,
\(\begin{gathered} A=\sqrt{s(s-a)(s-b)(s-c)} \\ A=\sqrt{16(16-4)(16-13)(16-15)} \\ A=24unit^2 \end{gathered}\)Therefore, the total surface area of the figure becomes,
\(\begin{gathered} TSA=2\times24+4\times6+13\times6+15\times6 \\ TSA=240unit^2 \end{gathered}\)Thus, the total surface area of the figure is 240 square units.
The volume formula is,
\(\begin{gathered} V=\frac{1}{2}lbh \\ V=\frac{1}{2}(6)(15)(3.2)\text{ \lbrack Since, A=}\frac{1}{2}bh\Rightarrow24=\frac{1}{2}(15)h\Rightarrow h=3.2] \\ V=144units^3 \end{gathered}\)Thus, the volume of the figure is 144 cubic units.
Final answer:
• The total surface area of the figure is 240 square units.
,• The volume of the figure is 144 cubic units.
1) The interest of Rs. 5000 for 4 years is Rs.2400. what is rate of interest ?
2) in how many years ,the interest of Rs.2000 at the rate of 7% p.a.is Rs.560 ?
3) what principal will earn the interest Rs.750 in 3 years at the rate of 10% pet year.
Answers
Answer:
Lemme type the whole thing
Step-by-step explanation:
1) 5 000 2400
100 x
Cross multiplication
5000x = 100×4
----------- ----------
5000 5000
x = 2/25 (4 years)
1 year = 2/25 ÷ 4
1/50%
given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Answers
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
To know more about Efficiency visit:
https://brainly.com/question/13222283
#SPJ11
At Bayshore, the ratio of girls to boys is 5:6. If there are 30 girls in the food court, how many boys can we expect to find?
Answers
Answer:
so the number of boys is 36
Step-by-step explanation:
let the number of boys be x
by using ratio and proportion rule
5:6=30:x
\(\frac{5}{6}=\frac{30}{x}\)
by cross-multiplication
5×x=6×30
5x=180
x=36
i hope this will help you :)
Answer:
There are 36 boys
Step-by-step explanation:
girls : boys = 5 : 6
Number of girls = 5x
5x = 30
x = 30/5
x = 6
Number of boys = 6x = 6*6 = 36
Use the figure to complete the proportion
?/h=h/?
Answers
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Write your answer in simplest form
Answers
Answer:
Below,...
Step-by-step explanation:
\(-\frac{5}{6} +\frac{2}{3}\\=\\-\frac{5}{6} +\frac{4}{6} \\=\\-1/6\)
Chow,...!
I hope this helps you
y=−1/2x+3 please guys help
Answers
Answer:
-1/2? i dunno
Step-by-step explanation:
Answer:
\(-1/2\)
Step-by-step explanation:
\(-1/2\) is the answer because \(-1/2\) is the gradient of the line in the slope. 3 is the y inter. Which is where the line goes over the y-axis.
Hope this helps! (^-^)
A bag contains 2 white balls, 6 orange balls and 2 red balls. If a ball is drawn, find the probability that it is a white or red ball.
Answers
First, let's calculate the total amount of balls:
\(2+6+2=10\)Since there are 2 white balls and 2 red balls, the number of white or red balls is 4.
So the probability is:
\(p=\frac{red\text{ or }white}{total}=\frac{4}{10}=\frac{2}{5}\)Correct option: A
Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?
Answers
Answer:
840
Step-by-step explanation:
7000×2×6 ÷ 100. since it is 2%
= 840
Here are two spinners.
6
2
spinner A
spinner B
bome
4
3
2.
4
The two arrows are spun and the score is obtained
by multiplying the two numbers.
1
spinner A
6
2
6
6
12 18
10 2030
4
3
spinner B
a) Complete the possibility space.
5
b) What is the probability of scoring a total of 6?
c) What is the probability of scoring a total greater than 10?
Answers
Answer:
2/9 ; 4/9
Step-by-step explanation:
______SPINNER A_____
_____ 2 ____ 4 _____ 6
1 ____ 2 _____4 _____6
3____ 6 _____12____ 18
5____10_____20____30
4 * 3 = 12 ; 5 * 2 = 10 ; 5 * 6 = 30
Probability of scoring a total of 6 :
From the sample space ; Number of 6's = 2
Total sample space = 9
Recall : probability = required outcome / Total possible outcomes
P(total of 6) = 2 / 9
P(total greater than 10) :
Required outcome ; > 10 = (12, 18, 20, 30) = 4
P(total > 10) = 4 / 9
Step-by-step explanation:
b) what is the probability of scoring a total of 6?
b) = 2/9
C) what is the probation scoring a total greater than 10
c)= 3/9
Pls help !!! Thank you
Answers
Answer:
y-10=2/3(x-8)
Step-by-step explanation:
(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)
Please! It’s due really soon.
Answers
Answer:
perimeter=40in
area=120.71
Step-by-step explanation:perimeter= 5inches*number of sides
5*8=40in
(2x^3 -14x + 10) ÷ (x + 3) long division
Answers
Answer:
2x^2-6x+4
Step-by-step explanation:
2x^2+1
PLS HELP____________
Answers
Answer:
the answer is the 1st one
2+2=4
3+1=4
4+0 = 4
In a certain city with a working population of 10,500 , 8925 people and less than $75,000 per year what is a percentile rank of someone who earns $75,000 per year
Answers
Answer:
The percentile rank of someone who earns $75,000 per year is the 85th percentile.
Step-by-step explanation:
Meaning of percentile:
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
In this question:
Working population of 10,500
8,925 people earn less than $75,000 per year.
8925/10500 = 0.85
0.85*100 = 85
The percentile rank of someone who earns $75,000 per year is the 85th percentile.
Describe the error in finding the distance between A(6, 2) and B(1,-4). X AB = V(6-2)2 +[1-(-4)] = 142 +52 = V 16 + 25 = 141
Answers
The distance between two points can be calculated using the formula;
\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)For points;
\(A(x_1,y_1)\text{ and B}(x_2,y_2)\)Given the points;
\(\begin{gathered} A\left(6,2\right)and \\ B\left(1,-4\right) \end{gathered}\)The distance between the two points can be calculated using the above formula;
\(\begin{gathered} AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\ AB=\sqrt{(-4-2)^2+(1-6)^2} \\ AB=\sqrt{(-6)^2+(-5)^2} \\ AB=\sqrt{36+25} \\ AB=\sqrt{61} \end{gathered}\)The distance between the two points is;
\(AB=\sqrt{61}=7.81\)