The equation d = 22.5n + 27.5 represents the amount of money, in dollars, that Kathryn earns for each sale she makes. The variable n represents the number of items sold, and the variable d represents the total amount of money earned.
What is the number of items Kathryn must sell in order to earn $500?
(A)10
(B)17
(C)21
(D)23
HELP IM DESPERATE FOR THE ANSWER!!!
Answer:
123 cm²
Step-by-step explanation:
Refer to attachment.
Hope it helps :)
I WILL GIVE BRAINLIEST AND THANKS SOLVE THE QUADRATIC EQUATION
Answer:
x= -2+√52/6 x= 0.87 (2d.p)
x= -2-√52/6. x= -1.54 (2d.p)
Step-by-step explanation:
3x²+2x-4=0
a=3 b=2 c= (-4)
To work out x, we have to use the following equation:
x= -b± √b²-4ac /2a
Working out:
b²-4ac = 2² -4×3×(-4)
This equals to 52.
Answer:
x= -2±√52 /6
Answer:
x = 2/3, -2
Step-by-step explanation:
First factor the equation into (3x-2)(x+2)=0. Thus, because one of the terms must be 0, x = 2/3, -2.
Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
can someone please help thank you
If she wanst to have an average of 71.5%, then she needs to score 69% on the last test.
What she needs to score on test 4?Let's say that she scores X on test 4, if she wants to have an average of 71.5%, then we can write the equation:
(77 + 54 + 86 + X)/4 = 71.5
Now we need to solve that equation for X.
217 + X = 71.5*4
X = 71.5*4 - 217 = 69
She needs to score 69% in the last test.
Learn more about averages at:
https://brainly.com/question/20118982
#SPJ1
What is the value of the expression below when
y=9 and z=3?
10y−7z
10y−7z
Plug in the numbers for y and z.
(10)(9)−(7)(3)
= 69
Answer:
69
Step-by-step explanation:
10y-7z
Plug in y and z
10(9)-7(3)
Solve using order of operations
90-21=69
x y z
x² y² z²
yz zx xy
Answer:
simplify?
x^5 Y^5 Z^5
Step-by-step explanation:
When a researcher uses ________ sampling, sample frame error occurs in the form of members of the population who are infrequent users or nonusers of that location.
When a researcher uses convenience sampling, sample frame error occurs in the form of members of the population who are infrequent users or nonusers of that location.
Given,
Sampling .
Here,
A sample is a controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are large enough for the test to include all applicable participants , samples are utilized in statistical testing.
A convenience sample is a kind of non-probability sampling technique where the sample is taken from a group of people those are within the reach;
Additionally, since the only need for this kind of sampling method is whether the participant is willing to be the part of sample.
Therefore, Option (d) is correct.
Learn more about Sample,
brainly.com/question/13287171
#SPJ4
Correct question:
When a researcher uses ________, sample frame error occurs in the form of members of the population who are infrequent users or nonusers of that location.
a. purposive sampling
b. chain referral sampling
c. quota sampling
d. convenience sampling
Please give me the correct answer.Only answer if you're very good at math.
Answer:
your answer will be 24
Step-by-step explanation:
hope it helps have a nice day/night
PLEASE HELP!! WILL GIVE BRAINLEST!!
Find the value of x
The lexington group has the following unadjusted trial balance as of may 31, 20y6: the lexington group unadjusted trial balance may 31, 20y6 account debit balances credit balances cash 20,350 accounts receivable 37,000 supplies 1,100 prepaid insurance 200 equipment 171,175 notes payable 36,000 accounts payable 26,000 common stock 50,000 retained earnings 94,150 dividends 15,000 fees earned 429,850 wages expense 270,000 rent expense 63,000 advertising expense 25,200 miscellaneous expense 5,100 total 608,125 636,000 the debit and credit totals are not equal as a result of the following errors: the cash entered on the trial balance was overstated by $7,000. a cash receipt of $8,200 was posted as a debit to cash of $2,800. a debit of $16,500 to accounts receivable was not posted. a return of $125 of defective supplies was erroneously posted as a $1,250 credit to supplies. an insurance policy acquired at a cost of $3,600 was posted as a credit to prepaid insurance. the balance of notes payable was understated by $9,000. a credit of $10,000 in accounts payable was overlooked when determining the balance of the account. a debit of $5,000 for dividends was posted as a credit to retained earnings. the balance of $60,300 in rent expense was entered as $63,000 in the trial balance. gas, electricity, and water expense, with a balance of $16,350, was omitted from the trial b
The unadjusted trial balance of The Lexington Group as of May 31, 20Y6, contains errors resulting in an unequal debit and credit balance of $27,875.
The unadjusted trial balance is a statement that lists all the accounts and their balances before any adjustments are made. It is used as a starting point to prepare the financial statements. In this case, the unadjusted trial balance of The Lexington Group shows a debit total of $608,125 and a credit total of $636,000, resulting in a difference of $27,875.
The errors mentioned in the question are the reasons for the imbalance. Let's go through each error:
1. The cash entered on the trial balance was overstated by $7,000. This means that the cash balance is higher than it should be by $7,000, resulting in an inflated debit balance.
2. A cash receipt of $8,200 was posted as a debit to cash of $2,800. This error resulted in an understatement of the cash balance by $5,400.
3. A debit of $16,500 to accounts receivable was not posted. As a result, the accounts receivable balance is understated by $16,500.
4. A return of $125 of defective supplies was erroneously posted as a $1,250 credit to supplies. This error caused an overstatement of the supplies balance by $1,125.
5. An insurance policy acquired at a cost of $3,600 was posted as a credit to prepaid insurance. This mistake resulted in an understatement of the prepaid insurance balance by $3,600.
6. The balance of notes payable was understated by $9,000. This means that the liability for notes payable is lower by $9,000 than it should be.
7. A credit of $10,000 in accounts payable was overlooked when determining the balance of the account. This error led to an understatement of the accounts payable balance by $10,000.
8. A debit of $5,000 for dividends was posted as a credit to retained earnings. This mistake caused an understatement of the dividends and an overstatement of the retained earnings by $5,000.
9. The balance of $60,300 in rent expense was entered as $63,000 in the trial balance. This error resulted in an overstatement of the rent expense by $2,700.
10. Gas, electricity, and water expense, with a balance of $16,350, was omitted from the trial balance. This omission caused an understatement of the total expenses by $16,350.
When we analyze the errors, we find that some accounts have been overstated, some have been understated, and some transactions have been completely omitted. These errors have led to an imbalance between the debit and credit sides of the trial balance.
Learn more about: Unadjusted trial
brainly.com/question/27752873
#SPJ11
Show that the sequence is arithmetic. Find the common difference, and write out the first four terms {C n
}={−8−4n} Show that the sequence is anthmetic d
=C n
−C n−1
=(−8−4n)−1
= (Simplify your answers.)
The given sequence is arithmetic, with a common difference of -4. The first four terms of the sequence are -8, -12, -16, and -20.
To show that the sequence is arithmetic, we need to demonstrate that the difference between consecutive terms is constant. Let's calculate the difference between \(\(C_n\) and \(C_{n-1}\):\)
\(\(d = C_n - C_{n-1} = (-8 - 4n) - (-8 - 4(n-1))\)\)
Simplifying the expression inside the brackets, we have:
\(\(d = (-8 - 4n) - (-8 + 4 - 4n)\)\)
Combining like terms, we get:
\(\(d = -8 - 4n + 8 - 4 + 4n\)\)
The terms -4n and 4n cancel each other out, leaving us with:
\(\(d = -4\)\)
Therefore, the common difference of the sequence is -4, confirming that the sequence is indeed arithmetic.
The first four terms of the sequence, \(\(C_n\),\) are -8, -12, -16, and -20.
To learn more about sequence is arithmetic click here: brainly.com/question/15456604
#SPJ11
Use the graph that shows the solution f(x) = g(x)
F(x) = x^2 + 4x +2
G(x) (1/2)^2 + 1
What is the solution to f(x) = G(x)
A -1
B 0
C 2
D 3
The solution of both the functions, f(x) = g(x) = 2, is option(c).
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.
Given two functions,
f(x) = x² + 4x + 2
g(x) = \((1/2)^{x} + 1\)
observe the graphs below
We are asked to find the solution of f(x) = g(x)
The solution that satisfies both functions is the intersecting point of both graphs.
From the graph, it is observed as (0,2)
Hence when x =0, the solution of both the functions f(x) = g(x) = 2, which is option(c).
To learn more about functions, follow the link.
https://brainly.com/question/11624077
#SPJ1
if moving due west is given +16 then what is -18
Answer:
Step-by-step explanation:
If moving due west is +16, then moving due east is going to cover up for -16 and an additonal -2 to the east. which sums up to -18. Therefore -18 is 2units to the east.
The football team has a total of 20 jerseys. There are 8 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
40%
Step-by-step explanation:
:)
10 less than a number
Assume the following angle is in standard position. Find a positive and negative angle whose absolute value is
less than 360° and is coterminal with the given angle. -485°
Answer:
Step-by-step explanation:
Negative angle: -485+360=-125 degrees
Positive angle: -485+720=235 degrees
Please help me, been stuck on these for a while and would love an explanation for these. (On picture)
Answer:
1. A 2. B
Step-by-step explanation:
You need to use log product, quotient and power rules.
For step-by-step, see my attached workings.
People use water to cook clean and drink every day . it is estimated that 16.8% of the water used each day is for cleaning. if a family uses 67.2 gallons of water per day for cleaning how many total gallons do they use per day
400 gallons of water are used everyday.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Percentage of water used for cleaning= 16.8%
Gallons of water used for cleaning= 67.2
Let the number of gallons used everyday be represented by g. Then,
16.8 % of g = 67.2
16.8/100 × g = 67.2
0.168 × g = 67.2
g= 400 gallons
Learn more about Percentage here:
https://brainly.com/question/15805167
#SPJ9
how much further will the spring stretch if a 0.60 kg block is added to the 1.2 kg block?
The spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.
To determine how much further the spring will stretch when a 0.60 kg block is added to the 1.2 kg block, we need to consider Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.
Let's assume that the spring is initially stretched by a certain amount x when only the 1.2 kg block is attached. The force exerted by the spring is given by F = kx, where k is the spring constant.
When the 0.60 kg block is added, the total mass becomes 1.2 kg + 0.60 kg = 1.8 kg. The force exerted by the spring remains the same, but the total mass affects the acceleration of the system according to Newton's second law, F = ma.
Using F = ma, we can find the acceleration of the system: F = (1.8 kg)(9.8 m/s^2) = 17.64 N.
Since F = kx, we can rearrange the equation to find x: x = F/k.
Now, if we assume the spring constant k remains constant, the displacement x will increase by a factor of 1.8 kg/1.2 kg = 1.5.
Therefore, the spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.
To know more about displacement , refer here :
https://brainly.com/question/11934397#
#SPJ11
How do I solve this I’ve tried many awnsers but I can’t seem to get it right
Answer:
x≈ 11.9 cm
Step-by-step explanation:
4.
Find the Midpoint of (2,8) and (-2,0)
if you could show your work that'd be great
Answer:
Midpoint= (0, 4)
Step-by-step explanation:
\(\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }\)
Using the formula above,
midpoint
\( = ( \frac{2 - 2}{2} , \frac{8 + 0}{2}) \)
\( = (0, \frac{8}{2} )\)
\( = (0,4)\)
Please help. I need a response in 48 mins (will give 30 pts)
Answer: 8/17
Step-by-step explanation:
sinA = opp.side/hypotenuse
= BC/AB
= 8/1
On a number line point is located at 2, point c is located at 5 and points b lies between points a and c what is location of b such that the ratio of ab :bc is 1:3
The location of point b n a number line with a point is located at 2 is 2.8.
What is ratio and proportions?According to the idea of ratio proportionality, two ratios are proportional if they are equal. To put it another way, if a/b = c/d, then an is to b what c is to d. Several branches of mathematics and science, including geometry, physics, and statistics, all make use of this idea. Also, it is useful in daily life when comparing product costs or figuring out cooking ratios.
Let the location of point b = x.
Using the ratio and proportion we have:
ab/bc = 1/3
Substituting ab and bc in terms of x we have:
(x-2)/(5-x) = 1/3
3x - 6 = 5 - x
x = 2.8
Hence, the location of point b n a number line with a point is located at 2 is 2.8.
Learn more about ratio here:
https://brainly.com/question/29774220
#SPJ1
The length of a rectangle is three times its width. The perimeter is 72 inches. Answer as L x W
Answer:
Length = 14.7 inches.Width = 4.90 inchesStep-by-step explanation:
It's given that,
The length of a rectangle is three times its width.
Let width of the rectangle be x and Length of the rectangle be 3x
Perimeter of yhe rectangle is 72 inches.
Area of rectangle is calculated by,
area = length × width
3x × x = 72
3x² = 72
x² = 72/3
x² = 24
x \(\approx\)4.90
Hence,
Width of rectangle = 4.90 inch
Length of rectangle = 3x
3 × 4.90
14.7 inches.
Hence, Length of the rectangle is 14.7 inch and width is 4.90 inch.
if a triangle has one angle that measure 81 degrees and another that measures 47 degrees, what is the measure of the third angle?
Answer: 52
Step-by-step explanation:
81 + 47 is 128.
180 - 128 =52 degrees.
:)
determine whether the following polygons are similar. if yes, type 'yes' in the similar box and type in the similarity statement and scale factor. if no, type 'none'
Similar: yes
Similarity Statement: AB ~ TQ , BC ~ QR
Scale Factor: 4/3
I just need the answer for this one
Answer:
Ok
Step-by-step explanation:
So I’m guessing divide 24 in 2 and the lowest number is the one side of the area, then take that number and add it to the 7 and then divide that number with the lowest number on that side and ba bam
what is 4,756 rounded to the nearest thousand is
.
Answer: 4,756 is rounded up to 5,000 when it says round to the nearest thousand
Step-by-step explanation:
anywhere from 4,500 and above is going up but anywhere from 4,400 and lower is going down
Find two consecutive positive integers such that the square of the larger integer is 19 more than 9 times the smaller integer define your variables and write an equation HURRY HELP PLEASE SHOW STEPS
Answer:
9 and 10
Step-by-step explanation:
x = 1st positive integer
x+1 = 2nd positive integer
Solve for both x and x+1(x+1) is the next positive integer after x (Ex. 3 aka 2+1 is next integer after 2).
Larger Integer: x+1 ==> being squared
Smaller Integer: x ==> being multipled by 9
9x + 19 = (x+1)^2 ==> the square of (x+1) is 19 more that 9 multiplied by x.
9x + 19 = (x+1)(x+1) ==> simplify
9x + 19 = x(x+1) + 1(x+1) ==> distribute (x+1) to x and 1.
9x + 19 = (x*x + 1*x) + (1*x + 1*1)
9x + 19 = x^2 + x + x + 1 ==> simplify
9x + 19 = x^2 + 2x + 1
19 = x^2 - 7x + 1 ==> subtract 9x on both sides
Make one side of the equation equal to 0 so you can factor the equation:
0 = x^2 - 7x - 18 ==> subtract both sides by 19
0 = x^2 + 2x - 9x - 18 ==> 2x - 9x = -7x and 2 * (-9) = -18
0 = x*x + 2x - 9x - 18
0 = x(x + 2) - 9(x + 2) ==> factor
0 = (x - 9)(x + 2)
x - 9 = 0 x + 2 = 0
x = 9 x = -2
Out of x = 9 and x = -2, only x = 9 is positive.
Hence, x = 9 and x+1=10.
Hence, the answers are 9 and 10.