Let magazine be represented by m
Let ads be represented by a
Let the letter be represented by l
Let bills be represented by b
Three more ads than letters =>
a = 3 + l
Five more bills than ads
b = 5 + a = 5 + 3 + l= 8 + l
The same number of the magazine as letters mean that m = l
so if the sum of mail = 31
Therefore
3 + l + 8 + l + l + l = 31
4l = 31 - 11
4l = 20
l = 20/4 = 5
Since m = l
Then, m = 5
Thus the number of magazines they receive is 5
A bookstore sells 6 books for $82.50. Which table represents the relationship
between number of books and the total price?
Answer: A
Step-by-step explanation: to find the base price, you would do 82.5 to give you a rate of 0.0727 (repeating) book per dollar. then if you do that with 7 and 8 in the same table, t gives you the same rate so A would be the answer.
Answer:
A
Step-by-step explanation:
We don't actually need to do any math to figure this out. We can use process of elimination and logical thinking.
we know it's not B because the prices are too close to each other, there is also the fact that 3 books should cost half of 82.50, and 15.75 isn't half of 82.50.
it's not D because 21 books cannot cost 33.75 dollars if 6 books cost 82.50.
it's not c because 12 books should be double the cost of 82.50, which it isn't.
therefore it must be A
hope this helps :D
Find the measure of c.
Answer:
100°
Step-by-step explanation:
basically, in this situation, whatever number or angle you're given, and the number diagonally across from it are supposed to add up to 180°.
(i think its called a cyclic quadrilateral, so do with that what you will.)
What is 3.045 as a mixed fraction
Answer:
609 /200
Step-by-step explanation:
Answer:
3 45/100
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
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2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
What is the slope of the line defined by the equation --3x + 1 = y?
A: -3
B: -1
C: 1
D: 3
Your friend has a bag of yellow and purple candy. He wants to use them to play a game with you.
Purple is worth 2 points and yellow is worth three points. Pick 9 candies from the bag
Create a system of equations where the combination of the candies gives you a total of 22 points. Make sure you label and define your variables.
The system of equations where the combination of the candies gives you a total of 22 points are:
x + y = 9
2x + 3y = 22
How can we create system of equations?To create the equations, we shall first define the variables:
x = the number of purple candies
y = the number of yellow candies
Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.
Then, we would make sure that the total number of candies selected is 9.
The first equation represents the total number of candies selected:
x + y = 9
The second equation represents the total number of points obtained:
2x + 3y = 22
Therefore, the system of equations is:
x + y = 9
2x + 3y = 22
This is a system of linear equations.
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Which graph represents the compound inequality?
h ≥ –5 and h < 2
Both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality equation is given below.
h ≥ –5 and h < 2
Then h ≥ –5 represents the area more than or equal to negative 5.
And h < 2 represents the area less than 2.
Then both h ≥ –5 and h < 2 represent the area more than or equal to negative 5 and less than 2.
The graph is given below.
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Answer:
THe Answer is A
Step-by-step explanation:
ans this question pleasepleasee i need it now 11:19 am
Step-by-step explanation:
Just times all the number for every question like the first one, 4×4×4=64(units)
=64ft
Same for the rest
Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (4, 3).
I don't understand can someone help please
Answer:
\(y=5(x-3)^2+2\)
Step-by-step explanation:
\(y=a(x-h)^2+k\\y=a(x-3)^2-2\\\\3=a(4-3)^2-2\\3=a(1)^2-2\\3=a-2\\5=a\\\\y=5(x-3)^2+2\)
By using the vertex form of a parabola, we were able to plug in the vertex (h,k)=(3,-2) and then eventually our point (x,y)=(4,3) to solve for "a" to get the final function.
Find the sum.
35/100 + 5/10
Answer:
0.85
Step-by-step explanation:
35 divided by 100= 0.35 + 5 divided by 10 = 0.5
0.35 + 0.5 = 0.85
Answer:
17/20
Step-by-step explanation:
35/100+5/10
=35/100+50/100
=85/100
=17/20
a local radio station plays 40 rock-and-roll songs during each 4-hour show. the program director at the station needs to know the total amount of airtime for the 40 songs so that time can also be programmed during the show for news and advertisements. the distribution of the lengths of rock-and-roll songs, in minutes, is roughly symmetric with a mean length of 3.9 minutes and a standard deviation of 1.1 minutes.
The sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is given as follows:
Approximately normal, with mean of 3.9 minutes and standard deviation of 0.17 minutes.
What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\), with mean and standard error given as follows:
Shape: approximately normal.Mean: \(\mu\)Standard error: \(s = \frac{\sigma}{\sqrt{n}}\)The population mean and standard deviation for this problem are given as follows:
\(\mu = 3.9, \sigma = 1.1\)
Hence the standard error of the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is calculated as follows:
s = 1.1/square root of 40 = 0.17 minutes.
Missing InformationThe problem asks for the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs.
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PLEASE HELP ME WITH THIS!
(It’s worth 19 points and a brainliest to whoever answers first! Take it or leave it!)
Answer:
this is your answer.
when x=2
y=2-16=-14
and similarly other.
Number of putter
3. How many 80 sheets notebook can a company make using 6080 sheets?
Total number of
76
Step-by-step explanation:
just divide 6080 by 80 and you get 76
John's bank account was overdrawn. The status of his account was -107. He did not realize the problem and wrote another check for $43. The bank charged him a $22 fee for being overdrawn.
Answer: -$155
Step-by-step explanation:
Using this formula
New status=(-Account status-Cheque amount)-Bank charges
Let plug in the formula
New status= (-$112-$22)-$21-
New status=-$134-$21
New status=-$155
Inconclusion The new status of John's account at this point is -$155
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What is the distance between points A(2,9) and B(-2,6)? Round to the nearest whole number.
The distance between the point is 5.
The formula to find the distance between two points (x1, y1) and (x2, y2)
distance = \(\sqrt{(x2-x1)^{2} + (\\ y2-y1)^{2} }\)
Substituting points A(2,9) and B(-2,6), we get
distance = \(\sqrt{(-2-2)^{2} + ( 6-9)^{2} }\)
=\(\sqrt{(-4)^{2} + (-3)^{2} }\)
= \(\sqrt{16 + 9}\)
=\(\sqrt{25}\)
= 5
Therefore the distance between the two points is 5.
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7. Kelly developed a formula for using a computer to find for a specific quote within a large set of articles.
The following function gives the length of the search, in seconds, over a set of n articles.
S(n) = 1.6 In (0.8n). What is the instantaneous rate of change of the search length for a set of 12 article:
Use correct units to explain the meaning of the answer.
instantaneous rate of change of the search length 0.1667 seconds per
How to find the instantaneous rate of change?We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.
Taking the derivative of S(n) with respect to n using the chain rule, we get:
S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n
Evaluating this expression at n=12, we get:
S'(12) = 2/12 = 0.1667 seconds per article
This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.
Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.
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Given f(x) = 3x- 1 and 9(x) = 2x-3, for which value of
х
does g(x) = f(2)?
X= 3/2
X= 2
X= 5/2
X = 4
Answer:
x = 4
Step-by-step explanation:
\(f(x)=3x-1\\g(x)=2x-3\)
substitute x = 2 into f(x):
\(f(2)=(3 \times2)-1=5\)
equate g(x) with found value for f(2) and solve for x:
\(g(x)=f(2)\\2x-3=5\\2x=8\\x=4\)
please please please help me :(((
Answer:
In the last diagram the object is being acted upon by forces not adding up to zero.
Step-by-step explanation:
(Assuming force 1=force 2 in terms of magnitude)
Let forces acting towards the left = -1
Let forces acting toward the right = +1
In the first diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the second diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the third diagram, force1 is acting towards the right and force2 is acting towards the left:
Total force = force1+force2=+1-1=0
In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:
Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.
Which number doesn't share the same pattern as
2,20, 4,8,300
What is the slope and y-intercept of the line y - 2x = 8
Answer:
Slope is 2x and y-intercept is 8
Step-by-step explanation:
First you have to get y all by itself on the left side of the equal sign. To do that, you must add 2x on both sides. You will get: y=2x+8.
Answer:
Slope= 2
Y-intercept= (0,8)
Which equation represents the distance (d) a car travels, in time (t), when driving 65 miles per hour? How far did the car travel in 3 hours?
Answer:
195 miles
Step-by-step explanation
D = 65 x 3
Answer:
D=65*tthe car traveled 195 miles in 3 hoursStep-by-step explanation:
D=65*t
where t is time in hours and D is the total distance traveled in miles
In 3 hours, the car will travel:
D=65*3
D=195
So, the car traveled 195 miles in 3 hours
A restaurant with 25 tables has 4 tables by the window. Parties are seated randomly at the tables as they come in.
What is the probability that the first 3 parties of the night are all seated at window seats?
a. 1/575
b. 64/15,625
c. 24/575
d. 24/15,625
The probability that the first 3 parties are all seated at window seats is; Choice A; 1 / 575.
What is the probability that the first 3 parties of the night are all seated at window seats?It follows from the task content that the probability that the first 3 parties are seated at window seats are to be determined.
According to the task content; there are 25 tables, 4 of which are by the window.
Hence, the probability that the first party takes one window seat is; 4/25.
Also, the probability that the second party takes one window seat is; 3/24.
And finally, the probability that the third party takes one window seat is; 2/23.
Ultimately, the probability that the first 3 parties of the night are all seated at window seats is;
= (4/25) × (3/24) × (2/23)
= 1 / 575.
Ultimately, the correct answer choice is; Choice A; 1 / 575.
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The ratio of red jelly beans to green jelly beans in a jar is 5:4. If there are 108 total jelly beans in the jar then how many red jelly beans must be in the jar?
Answer:
21
Step-by-step explanation:
Anyone know this question?
Answer:
All of these
Step-by-step explanation:
Given
\(f(5) = 11\)
\(f(x)\) at \((5,11)\)
Required
Interpret
\(f(5) = 11\) mean that: the function is at \((5,11)\)
In other words:
\(x = 5; y = 11\)
It also means:
Substitute 5 for x and the result will be 11
Hence, all options are true
Round 385,497 to the nearest thousand.
Answer:
385,000
Step-by-step explanation:
a) Let P(t) be written as
P(t) = a cos[b(t - d)] + c
The minimum Pmin and the maximum Pmax of P(t) are given.
Pmin = 4
Pmax = 20
c = (Pmax + Pmin) / 2 = (20 + 4) / 2 = 12
|a| = (Pmax - Pmin) / 2 = (20 - 4) / 2 = 8
We now need to find the number of days t after January 1st at which P(t) is maximum by counting the days of the months from January to May and adding 21 days in June.
t = 31 + 28 + 31 + 30 + 31 + 21 = 172
We now use the period to find b (b > 0) as follows
period = 365 = 2π / b
hence b = 2π / 365
A cosine function without shift has a maximum at t = 0. P(t) has a maximum at t = 172. We can model P(t) by a cos(x) function shifted by 172 to the right as follows:
P(t) = 8 cos[(2π / 365)(t - 172)] + 12
check that P(t) is maximum at t = 172: P(172) = 8 cos[(2π / 365)(172 - 172)] + 12 = 8 cos[(0)] + 12 = 20
b) The graph of P(t) is shown below.
Answer:
perfect
Step-by-step explanation:
√7.5×√3.5 step and answer
Answer:
√105/2
Step-by-step explanation:
Given the surd expression √7.5×√3.5, this can also be expressed as;
√7.5×√3.5
= √75/10 × √35/10
= √(75×35)/10×`10
=√105×25/100
= 5√105/√100
=5√105/10
=√105/2
Hence the required expression a √105/2
Please help this is due soon
Answer:
1)
\( {8}^{5} \)
2)
\( {4.2}^{3} \)
Can someone help me on theses?