Answer:
One Way: 79 + 62H + 15H = X
Second Way: 79 + ((62 + 15) x H) = X
Step-by-step explanation:
Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
79 + 62H + 15H = X
So, for example, if the job had lasted 2 hours, the equation would apply as follows:
79 + 62x2 + 15x2 = X
79 + 124 + 30 = X
233 = X
79 + ((62 + 15) x H) = X
In the case, if the work had lasted 1 hour, the equation would apply as follows:
79 + (62 + 15) x 1) = X
79 + 77 x 1 = X
79 + 77 = X
156 = X
The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.
There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.
Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour
$79 + $62h + $15h
= $79 + $77h
Total charge when there is no emergency = one-time service fee + labor charge per hour
$79 + $62h
To learn more about how to determine total charge, please check: https://brainly.com/question/25879561
Rectangle JKLM is shown. To the nearest tenth of a centimeter, what is the distance from J to M?
Answer:
10.2
Step-by-step explanation:
Answer:10.2
Step-by-step explanation:
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 23 feet less than the height of the pole. If the wire is to be 9 feet longer than the height of the pole, what is the height of the pole?
9514 1404 393
Answer:
56 feet
Step-by-step explanation:
Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...
(x+9)² = x² +(x -23)²
0 = x² -64x +448 . . . . . subtract the left side, put in standard form
0 = (x -8)(x -56) . . . . . . factor
The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.
The pole is 56 feet tall.
When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3
Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10
Answer:
D. y = –2x + 10
Step-by-step explanation:
1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:
[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]
2) Expand the right side of the equation to find the answer:
[tex]y = -2(x-5)\\y = -2x+10[/tex]
So, option D is correct.
What is 5/4 minus 1/3?
Answer:
11/12
Step-by-step explanation:
5/4 ---- 15/12
1/3------ 4/12
11/12
Answer:
11/12
Step-by-step explanation:
Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!
Which of the following is the product of the rational expression shown below 2/x+2•5/3x
Answer:
[tex]\frac{16}{3}[/tex]x
Step-by-step explanation:
2/x = 6/3x
6/3x + 10/3x = 16/3x
Answer:
10/(3x^2+3x)
Step-by-step explanation:
Amare is building a rectangular fence. Originally, he plans to build an 18 ft by 14 ft fence but later decides to increase each dimension by x feet.
Which equation represents the new perimeter of the fence?
P = (18 + x ) + (14 + x )
P = (18 + 2x ) + (14 + 2x )
P = 2(18 + x ) + 2(14 + x )
P = 2(18 + 2x ) + 2(14 + 2x )
Answer:
P = 2(18 + x ) + 2(14 + x )Step-by-step explanation:
Given,
Dimensions of the fence = 18 ft and 14 ft
Then x ft is increased in both dimensions ,
New dimensions of the fence = (18 + x)ft and (14 + x)ft
Therefore,
Perimeter of the fence = 2 ( l + b)
= 2 l + 2 b
= 2(18 + x) + 2(14 + x) (Ans)
Hence,
Option C is correct.
You rent a boat for $1.00 per hour plus a $15.00 insurance fee. Your friend rents another boat for $4.00 per hour and no fee. For how many hours will you end up paying the same?
Answer:
5 hours
Step-by-step explanation:
x = per hour
y = total cost
You:
y = x + 15
Your friend:
y = 4x
To find the same:
y = x + 15
y = 4x (Multiply by -1)
y = x + 15
-y = -4x
0 = -3x + 15
-3x = -15
x = 5
The dot plot below shows how many campsites have each number of campers.
What is the mean absolute deviation of the data set shown?
Plezz help :(
Answer:
1
Step-by-step explanation:
The answer is 1.
Answer: The answer is 1 100%
Step-by-step explanation: i took the test
In 1.8 s, a smart and swift dachshund caught his prey that was 8.5 m away what was the dogs speed?
Can someone please give me the answer I will mark u brilliant
Answer: The first solid's volume is 15/16 or 0.9375. The second solid's volume is 7/4, 1 3/4, or 1.75.
Step-by-step explanation:
First Solid
V= l*w*h
V= 5/8*3/4*2
V= 15/16
15/16 as a decimal is 0.9375
Second Solid
V= l*w*h
V= 6*7/12*1/2
V= 7/4
7/4 as a mixed fraction is 1 3/4. 7/4 as a decimal is 1.75.
Does each equation have no solution, one solution, or infinitely many solutions? Place a check in the correct column.
One Solution
No Solution
Infinitely Many Solutions
3(4x - 2) = 12x - 6
3(4x - 2) = -12x - 6
-3(4x - 2) = -12x - 2
Use the laws of Sines and law of cosines to find missing dimensions
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Answer:
11. inconsistent information
12. 26°
Step-by-step explanation:
11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)
__
12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.
b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871
b ≈ 29.513
Then angle C is found from the Law of Sines.
C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°
Angle C is about 26°.
The second attachment shows the output of a triangle solver.
A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of 3.75 inches.
(a)
Find the volume (in cubic inches) of the regular ice cream cone to the nearest tenth.
cu. in
(b)
Find the volume (in cubic inches) of the waffle cone to the nearest tenth.
cu. in
(c)
How much more ice cream (in cubic inches) fits in the waffle cone compared to the regular cone? Round your answer to the nearest tenth.
cu. in
Answer:
a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3
Step-by-step explanation:
volume of cone=(1/3)π(r^2)*h
a) 8.2 in^3
regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3
b) 25.8 in^3
waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3
c) 17.6 in^3
waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3
Help with this one? Thanks
Answer:
I think the answer of this question is b
how many five-miute segments are in 3\4 of an houre
i need help and fast is 23 points good
Answer: 9
Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5
sorry for the first one i read the question wrong
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
11 yd
13 yd
4 yd
6 yd
Answer:
34 yd²
Step-by-step explanation:
Area of the shaded region = area of the outer rectangle - area of the inner rectangle
Area of outer rectangle = L*W = 13*6 = 78 yd²
Area of inner rectangle = L*W = 11*4 = 44 yd²
Area of the shaded region = 78 - 44 = 34 yd²
Taxi fare in Tampa cost a base fee of $4 plus an additional $0.85 for each mile traveled how much would a person pay to taxi fare in Tampa cost a base fee of $4 plus an additional $0.85 for each mile traveled how much would a person pay to take a taxi from work to home if the distance is 17 miles
Answer:
18.45
Step-by-step explanation:
Its me I told u to look for my username to help me with this questions
Answer:
96
Once again, apologies for the chicken scratch
Answer:
$96
Step-by-step explanation:
→ Work out the discount multiplier
( 100 - 20 ) ÷ 100 = 0.8
→ Multiply answer by price
0.8 × 120 = $96
Find the exact value of x
Answer:
Step-by-step explanation:
"x" is geometric mean
x² = 4 × 16
x² = 64
x = 8
un campo de fútbol mide de largo 105m y de ancho 65m¿cuál es el área total del campo de fútbol?
Answer:
6825
Step-by-step explanation:
area=largo X ancho
area= 105 x 65= 6825
a water wheel has a radius of 15 feet. the wheel is rotating at 6 revolutions per minute. find the linear speed of the water. express your answer in terms of n and using units feet per second
Answer:
25.1333 per second
Step-by-step explanation:
1508 per min
Privacy issues: In a Fall 2014 Pew Research survey, 25% of American adults say they are "not at all confident" that the records of their activity maintained by credit card companies will remain private and secure. With numerous data breaches since then, a consumer group is interested in determining whether the proportion has increased this year. They select a random sample of 300 adults and find that 30% state they are not at all confident. After conducting the hypothesis test for p = 0.25 compared to p > 0.25 . we obtain a -value of 0.023. Which of the following interpretations of the -value is correct? There is a % chance that 25% of American adults say they are not at all conħdent that the records of their activity maintained by credit companies will remain private and secure. There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure it 25% of Americans are not at all confident this year. There is a % chance that 30% or more of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if assume 25% of American adults are not at all confident in 2014. There is a 2.3% chance that 30% of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secur
There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if 25% of Americans are not at all confident this year. Answer:
Step-by-step explanation:
The null hypothesis is “the percentage of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure is 25%. If this is true, there is a 2.3% chance that a sample of 300 American adults will have 30% or more who say they are not at all confident.
NEED HELP WITH THIS QUESTION
The radius of a circular clock is 13 centimeters. What is the
area of the clock?
Use 3.14 for pi
Answer:
452.16
Step-by-step explanation:
A = (3.14)r^2
A=(3.14)12^2
A=452.16
Answer:
530.66 cm
Step-by-step explanation:
A= π r 2
input known values
A= (3.14) (13^2)
Simplify
A= (3.14) 169
A= 530.66
"All congruent triangles are similar, but all similar triangles are not congruent". Justify please!
Answer:
True similar triangles don't have to be the same size
Step-by-step explanation:
Answer:
Congruent means that the triangles are exactly the same in size and shape whereas similar means that the triangles have the same shape, but not the same size. Hope this helps!
Brennan ate 2 1/4 apples.Then he ate another 1 2/4 apples the next day.How many apples did Brennan eat altogether?Write in simplest.
Answer:
UwU your welcome!
Step-by-step explanation:
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
A 12-sided sold has faces numbered 1 to 12. The table shows the results of rolling the solid 200
times Find the experimental probability of rolling a number greater than 10
Results
Number
1 2 3 4 5 6 7 8 9 10 11 12 Total
rolled
Frequency 17 13 15 15 17 14 15 32 16 14 15 17 200
The experimental probability of rolling a number greater than 10 [#/#] is
(Simplity your abswer)
Answer:
4/25 maybe?
Step-by-step explanation:
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
Find out more information about the velocity here:
brainly.com/question/25749514
Identify the quadrant each ordered pair is located in.
(-5,8)
(5,8)
(-5,-8)
(5,-8)
