We find that Grayson charges more than Ian when the number of hours of service h is less than 2.
To determine for how many hours Grayson charges more than Ian, we can set up an equation where the cost of Grayson's tax preparation service is greater than Ian's service. Grayson charges $35 per hour plus a $35 administration fee, while Ian charges $45 per hour plus a $15 administration fee. The number of hours for which the service is required is represented by h.
Grayson's total charge for h hours would be:
Grayson's Cost = $35h + $35
Ian's total charge for h hours would be:
Ian's Cost = $45h + $15
To find the number of hours where Grayson's cost is more than Ian's cost, we set Grayson's Cost > Ian's Cost:
$35h + $35 > $45h + $15
Simplifying, we get:
$35h - $45h > $15 - $35
-$10h > -$20
Dividing both sides by -10 (and remembering to reverse the inequality when dividing by a negative):
h < 2
Thus, Grayson charges more than Ian for fewer than 2 hours of tax preparation.
A Web site defines a regular polygon as “a polygon with all sides the same length.” Is this definition valid?
A. Yes, because all regular polygons fit this definition.
B. Yes, because a square is a regular polygon.
C. No, because some polygons that are irregular fit this definition.
D. No, because not all regular polygons fit this definition.
Final answer:
The definition of a regular polygon as a polygon with all sides the same length is incomplete because it does not include the requirement that all angles must also be equal. Therefore, the best answer choice is C, as some polygons with equal sides do not have equal angles and are not regular.
Explanation:
The definition of a regular polygon as “a polygon with all sides the same length” is not entirely accurate, because it overlooks an important aspect of regular polygons. For a polygon to be considered regular, it must not only have all sides of equal length but also all angles must be equal. Therefore, the correct answer is C. No, because some polygons that are irregular fit this definition. For example, an equilateral triangle and a square are both regular polygons because they satisfy both conditions. However, a rhombus may have all sides of equal length but can have angles that are not equal, which makes it an irregular polygon.
What z-score value separates the top 10% of a normal distribution from the bottom 90%??
what are the lengths of the other two sides of the triangle?
A 72?? sector in a circle has an area of 16.4?? yd??.
What is the area of the circle?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
An accountant pays 8% per year simple intrest, in year 1 the amount in the account is $850 how much is the account in year 6?
Which unit would you use to measure the weight of an elephant? mg g kg km
WILL GIVE BRAINLIEST!!!!!! PLEASE HELP ME!!! 12 POINTS!!!!!
The acceleration of any object can be found using the expression v - u over t , where v is final velocity, u is intial velocity and t is the time interval.
This expression can be interpreted as the _____
Given choices: (sum, difference, product, quotient)
of the _____
Given choices: (sum, difference, product, quotient)
of _____
Given choices: (v subtracted from u, u subtracted from v, v subtracted from t, u subtracted from t)
divided by _____.
Given choices: (u, v, t)
Find the nonpermissible replacement for a in this expression 3/4a
they are correct the answer is 0
justin runs at a constant rate, traveling 17km in 2 hours whats the equation
Justin's constant rate of running can be represented by the equation
=17/2 =8.5, where r is his speed in kilometers per hour. This indicates that Justin runs at a steady pace of 8.5 kilometers per hour.
To find the equation that represents Justin's constant rate of running, we can use the formula for speed, which is distance divided by time. Given that Justin travels 17 km in 2 hours, we can use these values to determine his speed.
Step 1: Identify the variables:
Let's denote:
d as the distance traveled (in kilometers)
t as the time taken (in hours)
r as the rate or speed (in kilometers per hour)
Step 2: Write down the formula for speed:
Speed =Distance/Time
Step 3: Plug in the given values:
We know that Justin travels 17 km in 2 hours. So,
d=17 km and t=2 hours.
Step 4: Calculate the speed:
=17/2=8.5 km/hr
Step 5: Write down the equation:
Now that we know Justin's speed is 8.5 km/hr, we can express it as an equation:r=8.5
So, the equation representing Justin's constant rate of running is:
r=8.5
This equation states that Justin's speed is always 8.5 kilometers per hour, regardless of the distance he travels. It's a linear equation because his speed remains constant over time
complete question=
Justin runs at a constant rate, traveling 17 kilometers in 2 hours. What is the equation that represents Justin's rate of running?"
20 POINTS!!
In two or more complete sentences, explain what additional information is needed to prove triangle CES congruent to triangle RST.
Answer:
The additional info that would help us better determine if the triangle CES is congruent to Triangle RST would be the angles measured degree. This would help us better determine the answer due to the fact that providing the angles S, E & T's exact degree will help us make sure they are congruent triangles.Step-by-step explanation:
OdysseyIf CDEF ≅ MNPQ, then ≅ DE ≅
a. NP
b. PQ
c. NQ
d. MN
* there's no picture this is all the information the question gives me *
Answer:
The correct option is a.
Step-by-step explanation:
It is given that CDEF ≅ MNPQ.
We need to find the side of MNPQ which is congruent to the side DE.
The corresponding parts of congruent figures are congruent.
Since CDEF ≅ MNPQ, therefore the corresponding sides of both figures are congruent.
[tex]CD\cong MN[/tex]
[tex]DE\cong NP[/tex]
[tex]EF\cong PQ[/tex]
[tex]CF\cong MQ[/tex]
The side NP is congruent to side DE. Therefore the correct option is a.
The inverse of f(x)
The figure below shows triangle NRM with r2 = m2 + n2:
Triangle NRM has legs m and n, and r is the length of its longest side.
Ben constructed a right triangle EFD with legs m and n, as shown below:
Triangle EFD has legs m and n and hypotenuse f.
He made the following table to prove that triangle NRM is a right triangle:
Statement Reason
1. r2 = m2 + n2 Given
2. f2 = m2 + n2 Pythagorean Theorem
3. f2 = r2 Substitution
4. f = r Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD ?
6. Angle NRM is a right angle CPCTC
7. Triangle NRM is a right triangle Angle NRM is a right angle
Which reason best fits statement 5?
SSS Postulate
SAS Postulate
AAA Postulate
AAS Postulate
Answer:
Option "SSS postulate" is correct.
Step-by-step explanation:
Given that: Triangle NRM has legs m and n, and r is the length of its longest side.
and r² = m² + n².
Now, Ben constructed a right triangle EFD with legs m and n.
and in statement 4, it is proved that f=r.
So, all the three sides of the triangles NMR and EFD are congruent.
So, the triangles are congruent bt the SSS Postulate.
⇒ option "SSS postulate" is correct.
in the inverse variation function, what happens to the output when the function's input value is divided by 3?
Answer: The function's output value will get multiplied by 3
Step-by-step explanation:
Two variables x (input value) and y (output value) are said to be in inverse variation if [tex]xy=k[/tex] for some constant k.
The equation for inverse variation can be written in the form :-
[tex]y=\frac{k}{x}[/tex], where k is a constant.
When the function's input value is divided by 3, then the new input value would be
[tex]x_1=\frac{x}{3}[/tex]
Now, the equation to find the new output value corresponding to new input value would be
[tex]y_1=\frac{k}{x_1}\\\Rightarrow y_1=\frac{k}{\frac{x}{3}}\\\\\Rightarrow y_1=3(\frac{k}{x})\\\\\Rightarrow y_1=3y[/tex]
Hence, When the function's input value is divided by 3, then the function's output value will get multiplied by 3.
Solve for X:
X + 25 = 45
In a raffle, one ticket is randomly chosen from 80 tickets to receive free haircuts for a year. If Jake entered 6 tickets, what is the probability that he is not chosen to receive the free haircuts? Express your answer as a fraction in simplest form, percent, and decimal.
Final answer:
The probability that Jake is not chosen in the raffle is 37/40, 92.5%, or 0.925.
Explanation:
The question asks for the probability that Jake is not chosen to receive free haircuts for a year from a raffle of 80 tickets, where he entered 6 tickets.
First, we compute the probability that Jake is chosen, which is the number of tickets he entered divided by the total number of tickets, resulting in 6/80 or 3/40.
To find the probability that Jake is not chosen, we subtract this probability from 1 (the total probability space), yielding 1 - 3/40 = 37/40.
In the simplest form, this is already reduced. As a percent, this probability is 92.5%, and as a decimal, it is 0.925.
Please answer this question! Its easy
1 of all it's not easy and second the 1 one is A
Answer:
A
Step-by-step explanation:
The answer to the first question is A
If you take a certain number 2.5 times then add 1.75 and divide the result by 0.8, you’ll get 37.5. What was the original number?
Please show how you did it!
A rectangle has a length of 1111 inches less than 33 times its width. if the area of the rectangle is 592592 square inches, find the length of the rectangle
Can someone help me please?
(-6,12,-24...) What is the common difference? Is it Arithmetic or Geometric
find the greatest common factor: 14a^4 + 35a^9
Nina has 2 cups of flour. However, this is only 1/4 of the amount of flour she needs for a bread recipe. How many cups of flour does the recipe call for?
Nina has 2 cups of flour.
However, 2 cups of flour is only 1/4 of the amount of flour she needs for a bread recipe.
Therefore, quantity of flour which Nina needs for a bread recipe is four times the present quantity
The cups of flour which Nina needs for a bread recipe = 2 / (1/4)
= 2 *4 cups
= 8 cups
Hope this helps..!!
Thank you :)
When multiplying 2 fractions is the product greater than the factors?
kangaroo wants to arrange the twelve numbers from 1 to 12 in a circle in such a way that any neighboring numbers always differ by either 1 or 2 which of the following pairs of numbers have to be neighbors
1,220,000,000 in scientific notation?
0.0287 in scientific notation?
Answer:
1.22*10^9
Step-by-step explanation:
Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidentally recorded it as credit rather than as a debit. How will his check register compare to his monthly bank statement when he receives it?
Answer: the balance in his check register will be $76 over the balance on his bank account
The proof that HG ≅ EG is shown. Given: G is the midpoint of KF KH ∥ EF Prove: HG ≅ EG What is the missing reason in the proof? Statement Reason 1. ∠EGF ≅ ∠HGK 1. vert. ∠s are ≅ 2. KH ∥ EF 2. given 3. ∠F ≅ ∠K 3. alt. int. ∠s are ≅ 4. G is the midpoint of KF 4. given 5. FG ≅ KG 5. def. of midpt. 6. △FEG ≅ △KHG 6. ? 7. HG ≅ EG 7. CPCTC SAS ASA AAS HL
The two-way table shows the number of students in a school who like music and/or dance.
Like Music
Do Not Like Music
Total
Like Dance
23
?
42
Do Not Like Dance
15
11
26
Total
38
30
68
What is the missing number in the table?
19
31
53
65
The missing number in the two-way frequency table will be 19 so option (A) will be correct.
What is a frequency table?
A frequency table is a list of objects with the frequency of each item shown in the table.
The quantity of times that an event or value occurs is its frequency.
In other words, a frequency table is a table in which we have some data and their frequency.
Given,
Total number of students who like dance= 42
Out of which 23 like music
Remaining = 42 - 23 = 19
So there will be total 19 students who like dancing but not music.
To learn more about the frequency table
brainly.com/question/12576014
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What is the slope of the line that passes through (10,0) and is parallel to y=1/2x+3