Answer:
C=50+20h
Step-by-step explanation:
Since 20 is going to be added every hour, that is the h value. Since 50 is the the initial payment, that is the other value
The equation for total fees charged, if One plumber charges a flat fee of $50, The per hour fees = $20, is C = 50 + 20h, so option A is correct.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.
Given:
One plumber charges a flat fee of $50,
The per hour fees = $20,
Write the equation for the total charged fees as shown below,
Total charge = One-time fees + per-hour fees × number of hours
Assume C represents the total charge, h represents the number of hours, then,
C = 50 + 20 × h
C = 50 + 20h
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URGENT... please help
Frosting Mountain cupcake shop is running low on vanilla. They have 2 cups of vanilla left and each batch of cupcakes needs 1 4 of a cup. How many batches of cupcakes can they make before they run out of vanilla?
Answer:0.143
Step-by-step explanation:
Find the derivative of y=2x^2-3x+1 and the slope of the curve at the point where x=3
The slope of the tangent line to y(x) at any given x is equal to the derivative dy/dx at that point. Differentiate to get
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{4x-3}[/tex]
and evaluate it at x = 3 to get the slope, 4•3 - 3 = 9.
find the mean, median, mode, and range of the data 10, 13, 7, 6, 9, 4, 6, 3, 5
if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number
9514 1404 393
Answer:
900
Step-by-step explanation:
Let x represent the number. The given relationship is ...
(3/5)x = 2 +(2/3)x
-2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides
-30 = x . . . . . . . . . . multiply by 15
Then the square of the number is ...
x² = (-30)² = 900
What is the coefficient in this equation? 140 - 6 = 28
Answer:
There is none there is no variable.
Step-by-step explanation:
Hope this helps!!
Answer:
there is no co efficient a co efficient is the constant before the variable when its attached.
A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tallman is walking towards the wall at the rate of 30 feet per second. How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall
Answer:
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Step-by-step explanation:
Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.
To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?
Proof -
From the given information, the figure becomes
Triangle ABC and Triangle DBE are similar triangle
AC/DE = BC/BE
⇒h/6 = 200/(200-x)
⇒h = 1200/(200 -x)
Now,
Differentiate h with respect to t, we get
[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]
Now,
If the rate of the tip is moving down the wall
At x = 50 feet, dx/dt = 30 feet per second
So,
⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]
⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]
So, we get
The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]
Show how you use the additive inverse to solve the following.
1. 8-9= 8 + (-9) =
2. +5 - (+14) =
4. -10 - (-9) =
3. -23 - (+10)-(-4) =
6. 16 - (+16) =
5. (+17)-(-20) -(+12) =
8. 5-(+7) -(-8)-3-(-6) =
7. - 200-(-120) -- 25 =
10.-18+ (-22) - (-31) =
9. 53-(-17) + (-6) =
Answer:
1.8-9=8+(-9)=?
2.+5-(14)= -9
3. -10-(-9)= -1
6.16-(+16)= 0
5.(+17)-(-20)-(12)= 25
8.5-(+7)-(-8)-3-(6)=9
7.-200-(-120)-25=105
10.-18+(-22)-(-31)=9
9.53-(-17)+(-6)=64
that's my answer
Help me out please???
If G is the incenter of ∆ABC, then GD = GF = GE.
Given, GD is 3x + 5 and GF is 6x - 4.
According to the above statement,
GD = GF
or, 3x + 5 = 6x - 4
or, 5 + 4 = 6x - 3x
or, 9 = 3x
or, 9/3 = x
or, 3 = x
The value of x is 3.
By putting the value of x in GD or GF, we get
GD = 3(3) + 5 = 9 + 5 = 14
GF = 6(3) - 4 = 18 - 4 = 14
Therefore, GE = 14.
help me please, thank you
Answer:
your chance is 3/10
Step-by-step explanation:
add how many marble then count how many pink and make a fraction
Helen rented a kayak at the lake there is a charge of $6 as an initial fee and then $3 an hour for every hour that she uses the kayak if the total charge is $21 how many hours did she kayak
Answer:
Helen kayaked for five hours.
Step-by-step explanation: First subtract the initial fee ($6.00) from the total charge ($21), $21 - $6 = $15. Now, divide the $15 she was charged for kayaking by $3 (because it costs 3 bucks an hour to kayak plus the 6 buck initial fee.) 15 divided by 3 = 5. So she kayaked for 5 hours.
Solve for x.
x/5=20
what does X equalllll
When you have a variable in an equation, you have to isolate it on one side. To do this, look for any other numbers and if they are added, multiplied, divided, or subtracted from x.
Next, you take that number and do the opposite of its operation to the other side.
In this example, you have x/5=20
So we first identify that x is being divided by 5
Then we take 5, and do the opposite of division to 20.
So x/5=20 turns into x = 5x20
Then we simplify, x = 100.
If your not sure your answer is write, you can always put the value of x back into the first equation and solve to see if its true:
X/5=20
100/5=20
20=20
Find the measure of each angle indicated (quadrilaterals)
Answer:
The Solar System is the gravitationally bound system of the Sun and the objects that orbit it, either directly or indirectly. Of the objects that orbit the Sun directly, the largest are the eight planets, with the remainder being smaller objects, the dwarf planets and small Solar System bodies.
Step-by-step explanation:
Answer:
its 75
parallel angle degrees always should be 360
The solutions to the system is
Which expression has a value of 7/12?
1. 2 1/12 + 5 1/12
2. 6/8 + 1/4
3. 1/3 + 1/4
4. 7/8 + 4
Answer: 3. 1/3 + 1/4
Step-by-step explanation:
1/3 = 4/12
1/4 = 3/12
4/12 + 3/12 = 7/12
find the slant height of a cone whose height is 15 cm and whose radius is 8 cm
Answer:
Right circular cone
Solve for slant height
l=17cm
r Radius
8
cm
h Height
A group of students are surveyed about which movie they prefer.
movie a :14
movie b : 9
movie c : 5
movie d : 3
What is the probability that a student prefers Movie A?
The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related. Develop a 90% confidence interval for the population proportion of all such firms with this as the primary motivation. (2 points) (Answers should be in percentage form. Round answers to 2 decimal places)
Answer:
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.
This means that [tex]n = 200, \pi = \frac{150}{200} = 0.75[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.}{2} = 0.975[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004[/tex]
As percent:
0.6996*100% = 69.96%
0.8004*100% = 80.04%.
The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).
A family on vacation drove a total round-trip distance of 735.75 miles. They traveled
for 7 hours in one direction and 6.5 hours on the return trip. What was their average
speed for the entire trip?
Answer:
speed = 54.5 miles/hr
Step-by-step explanation:
speed = distance/time
distaance = 735.75
time = 7 + 6.5 = 13.5
speed = 735.75 / 13.5
speed = 54.5 miles/hr
find 3/5% of $90,000
Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be: 1 2 3 4 5 6 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % You roll the die 84 times and come up with the
Answer:
Goodness of fit
Step-by-step explanation:
Given
The theoretical probabilities
See comment for complete question
Required
The type of test to be use
From the question, we understand that you are to test if the die is loaded or not using the given theoretical probabilities.
This test can be carried out using goodness of fit test because the goodness of fit is basically used to check the possibility of getting the outcome variable from a distribution. In this case, the outcome of the variables are the given theoretical probabilities.
In a nutshell, the goodness fit of test determines if the given data (in this case, the theoretical probabilities) is a reflection of what to expect in the original population.
Aliyah had $54 to spend on 5 bracelets. After buying them she had $4. How much did each bracelet cost? Each bracelet costs Question Blank type your answer... dollars.
Solve for c.
a(c+b) = d
Answer:
c = (d/a) - b
Step-by-step explanation:
a(c + b) = d
Divide both sides by a
c + b = d/a
subtract b from both sides
c = (d/a) - b
10 gallons to 24 gallons Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a percent if necessary.
Answer:
140%
Step-by-step explanation:
HELP PLZ I HAVE 5 MIN PLZZ
A box of fruit contains apples, oranges, and bananas. The apples weigh a total of 6 pounds and the oranges weigh a total of 8 pounds.
Let b represent the total weight of the bananas, in pounds.
Create an expression to represent the total weight, in pounds, of the fruit in the box. Move a number, variable, and symbol to the lines to
create the expression.
2
6
8
14
48
b
Lo
Answer:
6+8
Step-by-step explanation:
Graph the function y = (4 - x)(x + 2) in the coordinate plane.
Jennifer's new bike costs 96$. Her parents paid 40 percent of the cost and Jennifer paid the rest. How much did Jennifer pay?
Answer:
$57.60
Step-by-step explanation:
40% of $96.00 is $38.40
$96.00 - $38.40 = $57.60
just need a bit of help
Answer:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
30 points!!!!!! please help quick!!!!
Answer:
Attachment: 1 Image
Step-by-step explanation:
IM just a little bit slow
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:
x = 4
∠R = 71°
Step-by-step explanation:
COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.
[tex]31 - 3x + 19x - 5 = 90[/tex]
To make this problem easier to solve, we can combine like terms.
[tex]26 + 16x = 90.[/tex]
Now, we can proceed.
First, subtract 26 from 26 and 90.
[tex]26 - 26 = 0.[/tex] (cancels itself out).
[tex]90 - 26 = 64.\\[/tex]
Now, we are left with 16x = 64.
Lastly, we divide the number in front of the variable by the answer.
[tex]64/16 = 4[/tex]
Therefore, the value of x is 4.
-------------------------------------------------------------------------------------------------------------
Now that we have the value of x, we can use this value to replace the variable (x).
[tex]19x - 5[/tex]
[tex]19 * 4 - 5 = 71.[/tex]
Therefore, the value of ∠R is 71°.