An electrician charges a $50 house call fee and $65 per hour for the work. Which algebraic expression represents this situation to represent the total cost for h hours of work?
The algebraic expression is Total Cost = 65h + 50.
Explanation:To represent the total cost for h hours of work, we need to consider the house call fee of $50 and the hourly rate of $65. The total cost will depend on the number of hours worked.
We can calculate the total cost using the expression: Total Cost = (Hourly Rate * Number of Hours) + House Call Fee.
Therefore, the algebraic expression that represents this situation is: Total Cost = 65h + 50.
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Use the stem and leaf plot shown to answer the following question.
What is the upper quartile median value?
37
40
41
Answer:
The upper quartile median value is 40. Therefore second option is correct.
Step-by-step explanation:
Stem is first digit of a number and leaf is last digit of a number.
Stem 1 leaf 4 can be written as 14.
From the given table, the observations can be written as
[tex]16,18,23,25,26,34,37,37,40,41,46[/tex]
Total number of observations is 11, which is an odd number.
[tex]median=\frac{n+1}{2}\text{th term}[/tex]
[tex]median=\frac{11+1}{2}\text{th term}=6\text{th term}[/tex]
Therefore median is 34.
We have 5 terms before 34 and 5 terms after 34.
[tex]Q_1=\frac{n+1}{4}\text{th term}=3\text{th term}[/tex]
[tex]Q_1=23[/tex]
[tex]Q_3=\frac{3(n+1)}{4}\text{th term}=9\text{th term}[/tex]
[tex]Q_3=40[/tex]
Q₃ is also known as upper quartile median value. Therefore second option is correct.
You are making a scale drawing out of your classroom using the scale 1 inch: 3 feet. The floor of your classroom is a rectangle with a length of 21 feet and a width of 18 feet. What should the length and width of the floor in your drawing be?
in a parallelogram consecutive angles are _
The distance a spring will stretch varies directly with how much weight is attached to the spring. if a spring stretches 9 inches with 100 pounds attached, how far will it stretch with 90 pounds attached? round to the nearest tenth of an inch.
If M(-8, 12) is the midpoint of segment PQ, and P(8, 0), find the coordinates of Q.
A jug of juice holds 8 cups. convert 8 cups to pints
8 cups convert to pints = 4 pints
Further explanation7 main quantities have been determined based on international standards, namely:
1. Length, meters (m)2. Time, second (s)3. Mass, kilograms (kg)4. Temperature, kelvin (K)5. Light intensity, candela (cd)6. Electric current, ampere (A)7. Amount of substance, mol (m)Volume is a derivative quantity derived from the length
The unit of volume can be expressed in liters or milliliters or cubic meters
The conversion is
1 cc = 1 cm³
1 dm = 1 Liter
1 mL = 1 cm³
1 L = 1 dm³
The other common units for US standart volume are :
Fluid OuncesCupsPintsQuartsGallonsThe conversion for all those units :
1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces
The conversion for pints and cups :
[tex]\large{\boxed{1\:pints=2\:cups}}}[/tex]
A jug of juice holds 8 cups
so 8 cups = 8 : 2 pints
8 cups = 4 pints
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name all opisties of -12
If you subtract the death rate from the birth rate of a population, you will calculate what?
A. the arithmetic growth rate.
B. the expansion rate.
C. the carrying capacity.
D. the intrinsic growth rate.
Subtracting the death rate from the birth rate of a population calculates its intrinsic growth rate, expressed as dN = (b - d)N, where 'r' is the intrinsic rate of increase.
When you subtract the death rate (D) from the birth rate (B) of a population, you calculate the intrinsic growth rate of the population. The birth rate is typically expressed on a per capita basis, shown as B = bN, where 'b' represents the per capita birth rate and 'N' is the number of individuals in the population. Similarly, the death rate is expressed as D = dN, where 'd' is the per capita death rate. To find the population growth rate at a specific point in time, differential calculus is used to obtain an instant-specific measurement:
dN = (b - d)N
This formula simplifies the relationship between the birth and death rates, where 'b - d' is substituted with 'r', representing the intrinsic rate of increase. Therefore, the correct answer to the student's question is D. the intrinsic growth rate.
What is the inverse of f(x)=-3x^3 6?
Let f(x) = 7x − 13. find f−1(x). (1 point)13x − 77 over quantity of x plus 13quantity of x plus 13 over 71 over quantity 7 x minus 13
If 6 is 24% of a number, what is 40% of the same number?
(A) 8
(B) 10
(C) 15
(D) 20
To find 40% of the number where 6 is 24%, we first determine the whole number by dividing 6 by 0.24 to get 25. Then we calculate 40% of 25, which is 10.
If we know that 6 is 24% of a number, we can find the whole number by dividing 6 by 0.24. Once we have the full number, we can calculate 40% of it. Let's do the calculation step by step.
Calculate the whole number using the given percentage: Whole number = 6 / 0.24.
Perform the division to find the whole number: Whole number = 25.
Calculate 40% of the whole number: 40% of 25 = 0.40 * 25.
Perform the multiplication to find 40% of the number: 40% of 25 = 10.
Therefore, 40% of the same number is 10.
Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.
When you multiply or divide an inequality by a ______ number, you must flip the inequality symbol.
What are the 2 types of unbiased samples?
find the missing angle of the triangle.
Which of the following is not an example of using the distributive property to multiply 12 times 22?
a. 12(20 + 2)
b. 22(10 + 2)
c. 10(2 · 22)
How to know if true or false?? HELP ASAP thank you!
picture added.
Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)
solve for x. round to nearest tenth if needed.
1. 7r-7=2r+18
a.r=-5
b.r=5
c.r=2.2
d.r=1.2
2. 2x+12=18-x
a.x=3
b.x=10
c.x=6
d.x=2
3. 8x-3=15x+18
a.x=-3
b.x=3
c.x=2.1
d.x=0.9
4. 6y-6=4y+16
a.y=2.2
b.y=-2.2
c.y=11
d.y=5
5. 3(x-4)=5(x+2)
a.x=11
b.x=-11
c.x=1
d.x=-1
On solving the linear equations given, we get the values as 5, 2, -3, 11 and -11 for the equations 7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.
What is Linear Equation?Linear equations are equations which includes one or more variables and constants with the highest degree of the variable being 1.
1. 7r - 7 = 2r + 18
Taking the variables on one side and constants on the other side,
7r - 2r = 18 + 7
5r = 25
r = 5
2. 2x + 12 = 18 - x
2x + x = 18 - 12
3x = 6
x = 2
3. 8x - 3 = 15x + 18
8x - 15x = 18 + 3
-7x = 21
x = -3
4. 6y - 6 = 4y + 16
6y - 4y = 16 + 6
2y = 22
y = 11
5. 3(x - 4) = 5(x + 2)
Multiplying each term inside the bracket by the term outside,
3x - 12 = 5x + 10
3x - 5x = 10 + 12
-2x = 22
x = -11
Hence we got the values of the unknowns as 5, 2, -3, 11 and -11 for the equations 7r - 7 = 2r + 18, 2x + 12 = 18 - x, 8x - 3 = 15x + 18, 6y - 6 = 4y + 16 and 3(x - 4) = 5(x + 2) respectively.
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3^x : write in terms of base e and simplify! ...?
Compare 0.409 and 0.490 with >,<,=
the midpoint of a segment is (2,-5), and one of the endpoints is (3,6). where is the other endpoint?
Solve the inequality.
p – 9 < –9
Temperature rose 9°f in 3 hours if the starting wad -5°f what was the final temperature
For a $1,000 loan at a rate of 16 3/4 % for 5 years, the simple interest is a. $83.75
b. $167.50
c. $500.00
d. $837.50
Find the area of the regular polygon. Give the answer to the nearest tenth.
dodecagon with a perimeter of 108 cm ...?
is it possible for a line to pass through only one quadrant?
How about four quadrants? explain
daniel team scored 40 points at the game danielscored 50% of the teams points how many poits did daniel scored
Maggie was thinking of a number. If she multiply the number by 3 ,subtracted by 8 ,added by 2 times the 5 original number . the result was 48. write an equation that the number satisfies. Then answer it.
To solve the word problem, we set up and solved an algebraic equation. Maggie's original number is approximately 4.31 after converting the written problem into the equation 3x - 8 + 10x = 48 and solving for 'x'.
The goal is to translate the word problem into an algebraic equation and solve for the unknown number. If Maggie is thinking of a number, let's use 'x' to represent this unknown number. According to the problem, she multiplies the number by 3, subtracts 8, and then adds 2 times the original number 5 times. The result of these operations is 48. Here's how you set up the equation:
3x - 8 + 10x = 48
The next step is to combine like terms:
13x - 8 = 48
Now we add 8 to both sides of the equation:
13x = 56
The last step is to divide both sides by 13 to solve for x:
x = 56 / 13
x = 4.3077 or approximately 4.31 if rounded to two decimal places.
Therefore, Maggie's number is approximately 4.31.