The company spent average amount $678.57 per article.
Average spent per article is calculated using the formula -
Average = sum of all observations ÷ total number of observations
In the question, observations are the different items bought by the company.
Amount spent on sample merchandise = 5 × 450
Amount spent on sample merchandise = $2250
Amount spent on sample signs = 4 × 750
Amount spent on sample signs = $3000
Amount spent on chromebooks = 12 × 750
Amount spent on chromebooks = $9000
Total amount spent = 2250 + 3000 + 9000
Total amount spent = $14,250
Number of articles = 5 + 4 + 12
Number of articles = 21
Average = 14,250 ÷ 21
Average = $678.57
Thus, the average spent per article is $678.57.
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The ordered pairs below represent a function.
{(−4,2), (−2,1), (0,0), (2,−1)}
What is the RANGE of the function?
The range of the function is -1 ≤ y ≤ 2
What is the range of a function?The range of a function is the set of output values of the graph.
This in other words mean the range of a function is the set of y values of the graph.
How to determine the range of the function?The ordered pair is given as
{(−4,2), (−2,1), (0,0), (2,−1)}
Rewrite as
(x, y) = {(−4,2), (−2,1), (0,0), (2,−1)}
Remove the y values
So, we have
y = {2, 1, 0,−1}
Express as an inequality
-1 ≤ y ≤ 2
Hence, the range is -1 ≤ y ≤ 2
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Graph each function f(x)=1/4 x
Graph f(x)=14.
Plot each graph on the same coordinate system.
f(x)=14x
image of graph
Megan is in a musical production. She was at practice for 2 3/4 hours yesterday and 3 1/2 hours today. Altogether she spent 1/3 of her practice hours dancing. How many total hours did Megan spend dancing yesterday and today?
Megan spent 2 1/12 hours dancing both yesterday and today
How to calculate the number of hours Megan spent dancing ?Megan is involved in a musical production
Yesterday, she practiced for 2 3/4 hours
Today she practiced for 3 1/2 hours
The first step is to calculate the total number of hours she spent at the practice
2 3/4 + 3 1/2
= 11/4 + 7/2
The LCM between both fractions is 4
11/4 + 7/2
11 + 14/4
= 25/4
Megan spent 25/4 hours yesterday and today practicing
Out of this 25/4 hours, she spent 1/3 hours dancing
Therefore the hours she spent dancing can be calculated as follows
= 25/4 × 1/3
= 25/12
= 2 1/12
Hence Megan spent 2 1/12 hours dancing yesterday and today
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I am confused my old teacher got fired so we are learning stuff completely different and I am rlly confused in this assignment please help me.
Hello!
First, let's analyze these two quadrilaterals:
• Notice that the quadrilateral AB'C'D is ,smaller ,than the quadrilateral ABCD.
Let's try to solve it using the lines AB and AB':
• The measurement of the ,line AB is 14 units,.
,• The measurement of the ,line AB' is 7 units,.
Knowing it, let's write the scale factor as:
[tex]\text{ScaleFactor}=\frac{AB^{\prime}}{AB}=\frac{7}{14}=\frac{1}{2}[/tex]Answer: alternative D.
2-2 additional practice
Answer:
0
Step-by-step explanation:
2-2=0
Mellisa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon l. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish.
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
Let $x be the cost of 1 pound of salmon.
The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.
Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.
Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.
She pays a total of $31.25, then we get an equation,
2.5x + 1.25(x - 0.20) = 31.25
We solve above equation for x.
2.5x + 1.25x - 0.25 = 31.25
3.75x = 31.50
x = 8.4
So, the cost of 1 pound of salmon is $8.40 and 1 pound of swordfish is $8.20
and combined cost = $8.40 + $8.20
Therefore, the combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
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Anna spent half her weekly allowance at the movies to earn more money her parents let her wash the car for $8 what is her weekly allowance if she ended with $18
This situation can be expressed by the equation [tex]x-\frac{x}{2} +8=18[/tex], her weekly allowance is $20.
What is an equation?
The description of an equation in algebra is a mathematical proposition that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.Let the weekly allowance of anna be = X
Allowance spent on movies= X/2
The extra money from the car wash = 8
Allowance retained with anna = 18
This situation can be expressed by the equation,
[tex]x-\frac{x}{2} +8=18[/tex]
Solving the above equation, we get,
[tex]\frac{x+16}{2} =18[/tex]
x+16=36
x=20
Therefore, her weekly allowance is $20.
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A paintball court charges an initial entrance fee plus a fixed price per ball. Suppose it costs $18 to use 2 balls and $23 to use 4 balls. What is the entrance fee?
The entrance fees is 13 dollars charges by the paintball court.
Let us assume that the entrance fees is $X and the actual cost of using one ball is $Y charged by the paintball court.
According to one situation,
Total cost of using to ball = Cost of entry fees + actual cost of using two ball.
So, we can write,
X + 2Y = 18
Let us say that this is our equation 1,
Also, it is provided,
Total cost of using 4 balls = cost of entry fees + actual cost of using four balls.
X + 4Y = 23
Let us say that this is our equation 2,
Both of our equations are linear equations with two variables,
Now, substracting equation 1 from equation 2,
X + 4Y -(X + 2Y) = 23 - 18
2Y = 5
Y = $2.5.
Putting the value of Y = 2.5 in equation 1,
X + 2(2.5) = 18
X = 18 - 5
X = $13.
So, the entry fees is 13 dollars.
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∠A and ∠B are vertical angles. If ∠A = (x-29) and m∠B = (6x-11), then find the value of x.
The required value of x is -3.6 which is determined by the substitute that equals the vertical angles.
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
Since ∠A and ∠B are vertical angles then they are congruent, thus
⇒ (x - 29) = (6x - 11)
Subtract 6x from both sides of the above equation,
⇒ x - 29 - 6x = 6x - 11 -6x
⇒ -5x - 29 = - 11
Add 29 to both sides of the equation,
⇒ -5x - 29 + 29 = - 11 + 29
⇒ -5x = 18
Divided by 5 to both sides of the equation,
⇒ x = - 18/5
⇒ x = - 3.6
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Level C
Mia, Jake, Carol, Barbara, Ford and Jeff are all going to a costume party. Figure
out what costume each person is wearing and when they arrived at the party.
•The person that arrived fourth was wearing a bathing suit.
•Barbara was the last to arrive.
•Jake and Mia arrived and stayed together.
● The first person was dressed as a French maid.
• Superman arrived right before Barbara.
•The potato heads were always together at the party.
•Ford was a surfer dude.
• The French maid was not Carol.
• The vampire arrived after Superman.
Using logical reasoning, we can conclude that the costumes of 6 friends are:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanWhat is logical reasoning?Deductive (Logical) Reasoning. Using a collection of facts or data to infer further facts is known as logical or deductive reasoning. It entails using premises to support certain conclusions.Any problem can be objectively studied through the use of reasoning skills, which aids in coming to a logical conclusion about how to continue. For instance, let's say you have an issue at work, and you need to solve it. You use the information at hand and your capacity for logical reasoning.So, We know:
Barbara ⇒ Vampire ⇒ Last to arrive ⇒ After SupermanJake and Mia ⇒ Arrived and stayed together ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ 1st person ⇒ Not CarolCarol is left to be ⇒ SupermanSo, the conclusions can be:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanTherefore, using logical reasoning, we can conclude the costumes of 6 friends are:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanKnow more about logical reasoning here:
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NEED ASAP PLEASEEEEEE
Write the following number in standard decimal form.six tenths
Rewriting the words mathematically:
[tex]\text{Six tenths = }\frac{6}{10}[/tex]Next we will write in standard decimal form:
[tex]\begin{gathered} In\text{ decimal, 6/10 = 0.6} \\ We\text{ have one decimal place} \\ 0.6\text{ }is\text{ standard decimal = 6 }\times10^{n\text{ umber of movement})} \end{gathered}[/tex][tex]\begin{gathered} \text{movement from left to right will have a negative sign in front of the number of movement} \\ \text{movement from right to left will be positive} \\ \\ AS\text{ result, 0.6 = 6 }\times10^{-1} \end{gathered}[/tex]the jasmine family kept a log of the distance they traveled during a trip, as represented by the graph below
during which interval was their average speed the greatest
Answer:
I would say its 4, the eighth to tenth hour.
The store is trying to get rid of their Game of Thrones Season 8 sets and is marking them down by 25%. The original price was $55. What is the new price before sales tax?
I dont understand this
Identify all pairs of parallel segments. Arrange letters in
C
ALPHABETICAL
orders (AC. DF)
)//(
)//(
)//(
All pairs of parallel segments are given below.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees. Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible. Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.
Given,
a) Line segment = AC and FD
Parallel = AC ║FD
b) Line segment = AE and BD
Parallel = AE ║BD
c) Line segment = EC and FB
Parallel = EC ║FB
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You are serving bratwurst and hamburgers at your annual picnic. You want at least three bratwursts or hamburgers for each of your 35 guests. Bratwursts cost $1.3 each and hamburgers $1.2 each. Your budget is $150
Total cost of bratwursts + Total cost of hamburgers ≤ 150
that is 1.3x + 1.2y ≤ 150
Given,
The total number of guests = 35
Minimum number of bratwursts or hamburgers each one need = 3
The cost of bratwursts = $1.3 each
The cost of hamburgers = $1.2 each
Total budget = $150
We can take number of bratwursts as x and number of hamburgers as y.
Lets check.
Each guest need at least three food items = 35 × 3 = 105
That is, you need more than 105 food items.
So,
x + y ≥ 105
Lets see,
Total cost for bratwursts = 1.3x
Total cost for hamburgers = 1.2y
Now, your total budget is $150. So, the cost of food items must be less than or equal to 150.
That is,
Total cost of bratwursts + Total cost of hamburgers ≤ 150
1.3x + 1.2y ≤ 150
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Someone answer this please!
Answer:
Answer down below!
Step-by-step explanation:
The correct answers are as follows:
2^381 over 1/2^3Answer: 2nd, 3rd, 5th
Step-by-step explanation:
Solve the problem
1/2*1/2*1/2 = 1/1/8
1 * 8/1
8
Check each answer
1) -(1/2)^3
-(1/2*1/2*1/2)
-(1/8)
-1/8
No
2) 2^3
2 * 2 * 2
8
Yes
3) 1/1/2^3
[tex]\frac{1}{\frac{1}{2} *\frac{1}{2} *\frac{1}{2} }\\ \frac{1}{\frac{1}{8} }\\1 * \frac{8}{1} \\8[/tex]
Note: Flip fraction when dividing a fraction.
Yes
4) 1/8
1/8
No
5) 8
8
Yes
Help please I don’t knowwww
The corn's height when the fertilizer was applied is 13 centimeters and it grows at a rate of 13 centimeters each day.
What is the interpretation of the linear equation?The equation that is given is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.
A linear equation increases or decreases at a constant rate. When a linear equation is drawn on a graph, it is a straight line that curves either upward or downward.
A linear equation usually has this form y = mx + b
Where:
m = slope = rate of change of the equation with respect to x b = interceptH = 13 + 13t
Where:
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When are reciprocals used to solve an equation?
It's important to know that reciprocals are the multiplicative inverse of a numbers, for example, the reciprocal of 7 is 1/7.
As you can observe, using reciprocals would help to solve equations when we have to get rid off a factor. For example, if we have the equations 4x = 8, we would use the reciprocal of 4 to isolate the variable x: (4x)/4 = 8/4 then x = 2.
Therefore, reciprocals are used to move factors across the equation to isolate the variable.Multiply.
40.631⋅1.07
Responses
4.347517
43.47517
434.7517
4347.517
Answer: 43.47517
Step-by-step explanation:
Considering orders of magnitude, we see that Option 2 is the only reasonable answer.
Samuel orders four DVDs from an online music store. Each DVD costs $9.96. He has a 25% discount code, and sales tax is 7.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
The total cost of Samuel's order is $
Samuel's order will ultimately cost $39.84.
One DVD Samuel purchased cost $9.96.
He purchased four DVDs in total.
as a result, his total outlay will be 4 * 9.96 = $39.84.
The 7.75% sales tax that must be paid is disclosed to us.
Adding 7.75% to $39.84 yields
39.84 x 7.75/(100) (100)
= $3.0876
Consequently, the total amount of tax due is $3.0876.
Using 25% of 39.84 to calculate a 25% discount,
39.84 x 25/100
= 996/100
=$9.96
Consequently, the total discount on the total of $39.84 will be $9.96.
as a result, the updated purchase price will be,
39.84-9.96
=$29.88
adding the tax to the updated price,
9.96+29.88
= $39.84
Consequently, Samuel's order will ultimately cost $39.84.
How are percentages calculated?One must compute percentage in order to determine the proportion of a whole that is stated in terms of 100. A percentage can be determined using one of two methods:
using the unitary method.
by changing the fraction's denominator to 100.
It should be noted that the second method of percentage computation is not used when the denominator is not a factor of 100. In these circumstances, we make use of the unitary approach.
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what is the slope of y=4.5
Answer:
0
Step-by-step explanation:
there is no x so it is 0
0 it is
Write the equation of a line perpendicular to 8x−5y=−9 that passes through the point (−8,3).
Considering the definition of perpendicular line, the equation of a line perpendicular to 8x−5y=−9 that passes through the point (−8,3) is y=-5/8x-2 .
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseIn this case, the line is 8x-5y= -9. Expressed in the form y = mx + b, you get:
-5y= -9 - 8x
y= (-8x -9)÷ (-5)
y= 8/5x +9/5
The line has a slope of 8/5. If you multiply the slopes of two perpendicular lines, you get –1. In this case:
8/5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (8/5)
slope perpendicular line= -5/8
So, the perpendicular line has a form of: y= -5/8x + b
The line passes through the point (-8, 3). Replacing in the expression for perpendicular line, you get:
3= -5/8× (-8) + b
3= 5 + b
3- 5 = b
-2= b
Finally, the equation of the perpendicular line is y= -5/8x -2 .
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Equivalent equation to 2(x +3)=16
AB and BC are perpendicular lines.
Find the value of x.
………………………………………………….
Answer:
i don't know if this is fully correct but I believe that the answer is both because both elements are used it this piece of art. one the art is in color. two it uses both horizontal and vertical lines.
List the first 5 multiples.
18:
20:
16:
32:
Answer: 18: 18, 36, 54, 72, 90
20: 20, 40, 60, 80, 100
16: 16, 32, 48, 64, 80
32: 32, 64, 96, 128, 160
Step-by-step explanation:
multiply each number by 1 2 3 4 5 respectivly to get the answer.
Pls help 50 points
You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally? Explain your answer.
Will report if answer is not related to question
Using it's concepts, the average speed and the average velocity are given as follows:
Average speed: 40 miles per hour.Average velocity: 0 miles per hour.Average speedThe average speed is given by the quotient between the total distance traveled and the time taken, that is:
Average speed = total distance/time
In this problem, the total distance is of 60 miles(30 miles west + 30 miles south), in a time of 1.5 hours(1 hour west and 0.5 hours south), hence the average speed is given as follows:
Average speed = 60/1.5 = 40 miles per hour.
Average velocityThe average velocity is given by the quotient between the displacement and the time taken, that is:
Average velocity = displacement/time
The displacement is the difference between the final position and the initial position. Since the person got back to the start, finish = start, hence the displacement is of zero, as is the average velocity.
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MATH 100 points if you do this
Answer:
Increase
200%
Step-by-step explanation:
Since I can't figure out how to input my work in my answer as equations, I will attach my work from a screenshot!
Hope this helps! Have an amazing rest of your day! Please consider awarding me brainliest! ;)
On May 8, 2010, a team of kayakers sets a record time for 5h 19 min 17 sec to kayak across the length of Loch Ness, Scotland, UK, a distance of 20.5 mi. When the kayakers were four times as far from the starting point as from the finish, how many miles were traveled?
Answer:
16.4
Step-by-step explanation:
The time is irrelevant to the problem
fraction42 *20.5= 16.4
Hope this helps