For what values of "x" is the inequality 3(x+2)-x<8 true?
x > 1
x < 1
x < 7
x > 7
We can't determine right off the bat what values of x make this inequality true, so we should solve it first.
First, use the distributive property and distribute 3 :
3(x+2)-x<8
3x+6-x<8
Now subtract 6 on both sides :
3x-x<8-6
3x-x<2
now , subtract the x's :
2x<2
Divide by 2 on both sides :
x<1
So the values of x less than 1 make this inequality true.Let's try -1 (-1 is less than 1)
Plug it in ↓
3(-1+2)-(-1)<8
3(1)+1<8
3+1<8
4<8
4 is less than 8.
Therefore, the values of x that make this inequality true are indeed less than 1.hope helpful ~
Answer:
x < 1
Step-by-step explanation:
Expand the brackets: 3 * x = 3x and 3 * 2 = 6
Current inequality: 3x + 6 - x < 8
Collect like x terms: 3x - x = 2x
Current inequality: 2x + 6 < 8
Collect like integer terms: subract 6 from both sides
Current inequality: 2x < 2
Convert 2x to x: divide both sides by 2
Final answer = x < 1
Hope this helps :)
Edwin sells jars of jam for $1.20 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $0.80 and fixed expenses are $42,500.00 per year. (2 points)
17,000
21,250
98,170
106,250
2.
(05.01 MC)
Haven Baskets manufactures 61,755 woven baskets each year. Determine the minimum sales price Haven Baskets must sell each basket for to break even, if the total annual fixed costs are $562,795.00 and the variable cost per basket is $15.25. (2 points)
$22.90
$24.36
$29.97
$33.25
3.
(05.01 LC)
Jaslyn makes 443 wooden frames per month. Calculate her monthly profit if she sells each frame for $28.99, has fixed monthly expenses of $3,692.00, and has variable expenses of $9.15 per frame. (2 points)
$4,876.50
$5,097.12
$5,124.56
$5,190.87
4.
(05.01 MC)
Luca owns a pool cleaning business. Luca wants to have a monthly profit of $6,135.00 with 45 customers, fixed monthly expenses of $2,345.00, and variable expenses of $16.90 per pool. Determine how much Luca needs to charge per customer to reach his profit goal. (2 points)
$154.32
$175.89
$199.87
$205.34
5.
(05.01 LC)
Rafi Smiles produces custom greeting cards. The company has fixed monthly expenses of $5,750.00 and variable expenses of $0.80 for each card they make. Determine the company's ROI if they are able to make 4,175 cards per month and charge $4.50 per card. Round the final answer to the nearest hundredth. (2 points)
94.00%
94.01%
106.36%
106.68%
The number of jars of jam that has to be sold in order to break even is 106,250.
The minimum sales price is $24.36.
The monthly profit is $5,097.12.
The price per customer is $205.34.
The ROI is 106.68%.
What is the breakeven point?
Breakeven quantity = fixed cost / price – variable cost per unit
$42500 / (1.2 - 0.8) = 106,250
What is the minimum sales price?
Minimum price = (fixed cost / breakeven sales) + variable cost
($562,795.00 / 61,755) + $15.25 = $24.36
What is the profit?
Profit = revenue - total cost
Revenue = 443 x 28.99 = $12,842.57
Total cost = $3692 + (9.15 x 443) = $7,745.45
Profit = $12,842.57 - $7,745.45 = $5097.12
What is the price?
Price = (profit + total cost) / number of customers
Total cost = $2,345 + (16.90 x 45) = $3,105.50
($6,135.00 - 3105.50) / 45 = $205.34
What is the ROI?
ROI = (profit / cost of the investment) x 100
Cost = fixed cost + variable cost
$5,750 + (0.80 x 4175) = $9090
Profit = total revenue - cost
(4.5 x 4175) - 9090 = $9,697.50
ROI = $9,697.50 / $9090 = 106.68%
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what value of x makes the equation true?
Answer:
[B] - 1/3
Step-by-step explanation:
Given:
-8x-5(1-x)=6x-2
Solve:
Expand : -8x - 5(1-x) : -3x -5
-3x - 5 = 6x -2
Add 5 to both sides (Balance)
-3x-5+5=6x-2+5
Simplify
-3x = 6x + 3
subtract 6x to both sides (Balance)
-3x - 6x = 6x +3 -6x
Simplify
-9x = 3
Divide both sides by -9 (Balance)
-9x/-9=3/-9
Simplify
x = -1/3
[RevyBreeze]
You randomly choose one Marble from the jar find the favorable outcome of the event
There are 6 blue marbles
4 red marbles and 2 green marbles
1. Choosing a blue marble
2.Not choosing a red marble
(Don’t mind the erased work it was a mistake I made)
Answer:
50% of blue
33.3333...% for not choosing red
pls help due today math
Answer:
x = 4
y = 8
Steps are given, below in the picture
I hope my answer helps you.
Step-by-step explanation:
Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.
SOH CAH TOA
help pls
just say what option
Answer:
D .the formation in the graph shows a positive non linear correlation, the weight of the dinosaur trends to increase according to its length.hope this helps you :)The information on the graph shows a positive nonlinear correlation and the weight of the dinosaur tends to increase according to its length.
What is a discrete graph?A discrete graph is also known as a scatter plot that shows the discontinuous and the nonlinear data point on the graph.
From the graph, we can see the increasing weight of the Dinosaur size vertical y-axis and the increasing length of the feet on the horizontal x-axis.
Therefore, we can conclude that the data points show an increasing nonlinear weight on the graph as the length increases.
Learn more about discrete graphs here:
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If LOVE is a square with LO = 2x + 3 and OV = 9, what is the value of x?
Answer:
3
Step-by-step explanation:
2x+3=9
You have to get rid of the 3 and the operation that is happening between the 2x and 3 is addition so you must do the opposite which is subtract .
2x+3-3=9-3
Cross out the 3's . What you do to one side do it to the other side .So subtract 3 from both sides .
2x÷2=6÷2
Now to get rid of the 2 you divide because the operation that is happening between the 2 and x is multiplication.And what u do to one side do it to the other . So
x= 3
Hope this helps and sorry if you don't under the explanation
Step-by-step explanation:
LO = 2x + 3 and OV = 9,
9=2x+3
9-3=2x
6=2x
6/2=x
x=3
help please find x and y, 10 points and brainliest to best answer
Answer:
y =8
x=80
Step-by-step explanation:
5y-10=3y+6
5y-3y=6+10
2y =16
y=8
x+30+x-10=180
2x+20=180
2x=160
x=80
A random number, x, is generated, where x is any real number.
(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.
Show that y = 20 + 8x - x?.
Step-by-step explanation:
Say that x = 1, since x can be any real number.
From part a -> x +2 = 3
and -> 10-x =9
then multiply the two results to get y -> 3x9 = 27
Now look at y=20+8x-x and plug in the same value for x where x = 1
you get -> y = 20 + 8(1) -(1) which simplifies out to 27. Therefore the equation is proven since they equal the same value.
i dont know how to do this stuff
I don't know how to do this stuff
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range
y = x + 2x - 5
Answer:
d. D: allreal numbers
R: y>= -6
Step-by-step explanation:
You are allowed to use a graphing calculator to see the graph. See image.
This curve is a parabola. Upward and downward opening parabolas have a domain of all real numbers. Any x can be found on the graph and/or any x can be used in the equation without limit. That's "all real numbers"
See the graph does not exist below -6. Range is all the y's on the graph and/or all the possible y's the equation will spit out. Here we can clearly see the graph only exists from -6 and up. Range is y>= -6.
Ver en español
What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
395.64 sq. mm
hope it helps...!!!
-8/7 / 5/4 as a fraction
Answer:
- 32/35
Step-by-step explanation:
-8/7 / 5/4 = -32/35
Solve 2x+4> 16.
O A. X> 10
B. x <10
C. x< 6
O
D. X>6
Answer:
D
Step-by-step explanation:
First subtract 4 from both sides and divde both sides by 2.
Solution:
=2x+4>16
=2x+4-4>16-4
=2x>12
=2x÷2>12÷2
=x>6
Help!!!
Find the sum of the mean, median, and mode for this data 86,72,16,42,16,55,16,12,91,55
Answer:
mean=86+72+16+42+16+55+16+12+91+55/2
mean=230.5
mode=16-unimodal
median the middle value but in the first arrange in ascending order.
12,16,42,55,72,86 and 91
median=55
hope it helps!
The question inside the picture
Thank you so much :)
Answer:
The average number of hours studying per pound of the book bag
Step-by-step explanation:
Find x:
A)3
B)2.5
C)4
D)7.5
Answer:
D
Step-by-step explanation:
Because I said so ho3
Of 600 people surveyed, 220 were male and 350 had cell phones. Of those with cell phones, 230 were female. What is the probability that a person surveyed was either male or had a cell phone?
A)100/600 ≈ 0.167
B)480/600 = 0.8
C)340/600 ≈ 0.567
D)450/600 = 0.75
By definition of probability, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75
Definition of ProbabitityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
Union of eventsThe union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.
Probability that a person surveyed was either male or had a cell phoneIn first place, let's define the following events:
M: the person surveyed was male.C: the person surveyed had a cell phone.The probability that a person surveyed was either male or had a cell phone is calculated as:
P(M∪C)= P(M) + P(C) -P(M∩C)
In this case, you know:
P(M)= [tex]\frac{220}{600}[/tex]P(C)= [tex]\frac{350}{600}[/tex]P(M∩C)= [tex]\frac{120}{600}[/tex] (Of the 350 people who have cell phones, 230 are female. This means the remaining 120 people with cell phones are male.)Replacing in the definition of probability:
P(M∪C)= [tex]\frac{220}{600}[/tex] + [tex]\frac{350}{600}[/tex] - [tex]\frac{120}{600}[/tex]
Solving:
P(M∪C)= [tex]\frac{220+350 -120}{600}[/tex]
P(M∪C)= [tex]\frac{450}{600}[/tex]= 0.75
Finally, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75
Learn more about probability:
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Can the following set be the domain of an odd function?
(-3,-2)U(2,3)
Yes, the given set can be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
What is the domain of a function?For a function y = f(x), we define the domain of the function as the set of possible values of x that we can input into the function.
And an odd function is a function such that:
f(-x) = -f(x).
In this case, we want to see if the set:
(-3,-2)U(2,3) = (-3, -2, 2, 3)
can be the domain.
It would only be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
If you want to learn more about odd functions, you can read:
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Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?
A. Y and ∠Y'' are congruent after the translation, but not after the dilation.
B. ∠Y and ∠Y'' are congruent after the dilation, but not after the translation.
C. segment YZ and segment Y double prime Z double prime are proportional after the translation, but not after the dilation.
D. segment YZ and segment Y double prime Z double prime are proportional after the dilation and congruent after the translation.
The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.
Given that,
There is the rule i.e. (x +1, y - 1) and it should be dilated by a scale factor of 4 centered at the origin.Based on the above information,
The figure should be proportional as the angle and the points should be the same. And, when the translation is done the image should be congruent to the pre-imageTherefore we can conclude that option d is correct.
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what is 20 - 10
what is 20+ 10
Answer:
20-10=20
20+10=30
Step-by-step explanation:
For 20-10 let's assume John has 20 apples. He gives 10 to Carol.
Understand that subtraction can mean taking away or finding a difference. For example, 13 – 8 can mean, “How many are left when you take 8 away from 13?” Or, 13 – 8 can be interpreted as, “How much more is 13 than 8?” Understand that subtraction is the opposite of addition. Know the addition facts up to 9 + 9.
If john has 20 apples and gives 10 to carol, he will have 10 left.
For 20+10, we do the opposite operation, which is addition.
Addition is finding the total value of two or more numbers. Addition is shown using the + symbol in maths sums.
If john has 20 apples and buys 10 more, he will have 30 apples.
6. Higher Order Thinking Vincent forgot the last two digits of his bicycle lock.
He remembers that each digit is 5 greater. Based on the table below, how
many possible pairs of digits are there? Make another table to show
all possible combinations if he remembers that the first digit is 6, 8, or 9.
Help pleasee!
The number of possible combinations is an illustration of principle of counting
There are 15 possible pairs of possible combinations
How to determine the number of possible combinations?
From the question, we understand that the first digit is 6, 8 or 9.
This means that the new table would not have entries that begin with 5 or 7.
The table is then represented as:
6 8 9
5 65 85 95
6 66 86 96
7 67 87 97
8 68 88 98
9 69 89 99
Count the number of entries
Entries = 15
Hence, there are 15 possible pairs of possible combinations
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pls help me dont bot me
Answer:
c
Step-by-step explanation:
What is the greatest common factor of 6x^2+18x-36
Answer:
6
Step-by-step explanation:
The nth term of a different arithmetic sequence is 3n + 5
(b) Is 108 a term of this sequence? Show how you get your answer.
Answer:
No 108 is not a term of this sequence.
Step-by-step explanation:
3n+5 = 108
3n = 108 - 5
3n = 103
Divide both side with 3.
n = 103/3
n = 34.33
since n is not equal to 108 there it is not
Answer:
see below
Step-by-step explanation:
We can determine if 108 is a solution by setting 3n+5 =108
3n+5= 108
Subtract 5 from each side
3n+5-5=108-5
3n = 103
Divide by 3
3n/3 = 103/3
n = 103/3
This is not an integer so 108 is not a solutions
What is the volume of this cube?
Answer: 1 inc^3
Step-by-step explanation:
V = A^3
Where a = side
V = 1 ^3
V = 1 inch^3
Or in meteres it is 1.6387064e-5
Step-by-step explanation:
HOPE THIS HELPS IF NOT SORRYYYY !!!!!
Find the H.C.F and L.C.M. of the following.
（a）336,22,4
Answer:
hcf=2 lcm=3696
Step-by-step explanation:
Which of the following situations best completes the following statement:
When subtracting an integer is the same as _____.
multiplying its opposite
subtracting its opposite
adding its opposite
dividing its opposite
Answer:
The answer would be adding its opposite.
Answer:
its subtracting its opposite
Step-by-step explanation:
Please help MATH!!!!!?
Answer:
A, C
Step-by-step explanation:
I need this answered
Hey ! Buddy
Question : -Find the value of x .
Given : -Angle 1 = x°Angle 2 = 43°Angle 3 = 36°To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .
So Our Solution Starts From Here :As we know that sum of all the three interior angles of triangle is equal to 180° . So ,
[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]
Now , substituting values of Angle 1 , 2 and 3 :
[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]
Now , adding 43 and 36 in right hand side :
[tex] \longmapsto \: x° + 79° = 180° [/tex]
Now , transposing 79° to right hand side :
[tex] \longmapsto \: x° = 180° - 79° [/tex]
Now , subtracting 79° from 180° :
[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]
Therefore , value of angle x is 101°.#[tex] \sf{Keep \: Learning}[/tex]