What is the solution set for this inequality? −6x+30<−18
x<−2
x>−2
x<8 8
x>8
Answers
Answer:
x > 8
Step-by-step explanation:
Subtract 30 from each side
-6x+30-30<-18-30
Simplify
-6x<-48
Multiply each side by 1
(-1)(-6x) < (-48)(-1)
Simplify
6x<48
Divide each side by 6
6x/6 < 48/6
Simplify
x>8
Related Questions
I JUST NEED HELP ON NOOOOOW
Answers
Answer:
The solution to the equation is:
\(x=-5\)
Step-by-step explanation:
Step 1: Rearrange the equation
Since we have to solve the equation for \(x\), let's bring the \(\frac{x}{6}\) to the other side with all the other variables:
\(\frac{5x}{3}-x=\frac{x}{6}-\frac{5}{2}\\\\\text{Subtract}~\frac{x}{6}~\text{from both sides of the equation:}\\\frac{5x}{3}-x-\frac{x}{6}=\frac{x}{6}-\frac{x}{6}-\frac{5}{2}\\\\\text{Simplify:}\\\frac{5x}{3}-x-\frac{x}{6}=-\frac{5}{2}\)
Step 2: Make use of the distributive property
The property states that when there's an expression like \(3(2x+6)\), it can be written as \(3(2x)+3(6)\), or vice versa.
In the equation we have found above, the left hand side of the equation has a common variable: \(x\)
Using the principle of distributive property, we can arrange the left hand side differently:
\(\frac{5x}{3}-x-\frac{x}{6}=-\frac{5}{2}\\x(\frac{5}{3}-1-\frac{1}{6})=-\frac{5}{2}\)
We have arranged the left hand side as such, that distributive property is applicable for it.
Step 3: Solving
First, let's simplify the equation:
\(x(\frac{5}{3}-1-\frac{1}{6})=-\frac{5}{2}\\\\\text{Add the numbers inside the bracket:}\\x(\frac{1}{2})=-\frac{5}{2}\)
Now, let's solve it:
\(\frac{1}{2}x=-\frac{5}{2}\\\\\text{Multiply both sides of the equation by}~2:\\\frac{1}{2}x\times 2=-\frac{5}{2}\times 2\\\\\text{Calculate:}\\\frac{2}{2}x=-\frac{10}{2}\\x=-5\)
Answer: here use this link is free
Step-by-step explanation:
i need to get this right please help
Answers
Answer:
3 x 6
Step-by-step explanation:
Its asking, how did Koda get this answer.
Think about it, on the left u have 3 outside and on top you have 6 outside connect those 2 and you get 18 as your answer.
Don't get confused its just showing step by step on how you can do it and why.
at math
Help me guys it is homework pleased ⇄ ∛
Answers
Answer:
I haven't done these in 2 years and I'm not sure if I remember things correctly but here's what I would put down.
5) No, it is not because the sizes of each section are not even.
6) Yes, this is fair since there are a even chance of getting each number.
7) 3 out of 25 or 3/25
8) The bag with 250 colored tiles would give him a less chance of picking a blue tile. In the first bag, there is a 40% chance that Greg would pick a blue tile while the second bag, he would have a 30% chance of picking a blue tile. To get these percentages, I divided the the amount of blue tiles in the bag by the total amount of tiles.
Explantion for question 8: 10 blue tiles in a bag of 25 so you would do 10/25 which is .4 and as a percentage it would be 40%. For the second question, 75 blue tiles out of 250 total so 75/250 and that would be .3 and as a percentage, it would be 30%. The "/" is a fraction bar and is sometimes used as a division symbol as well, just in case you don't know:)
Step-by-step explanation:
help asap please due today
i need to know where it will be placed on the grid ( picture is attached )
not the actual number higher
Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues to move 1 unit east and 3 units north twelve more times, placing a pin each time. Where will the last pin be placed?
picture attached
Answers
Answer: its (6,5)
Step-by-step explanation:
Answer:
(6,9)
Step-by-step explanation:
You move the pin once to the left and three to the top, and at the end, it will reach (6,9) since there is no more grid to move it to.
mean of 8 5 7 5 9 3 5
Answers
The square table has side lengths of 4 feet. What is the length of the diagonal? Round to the nearest tenth
Answers
1 1/3 + 3 3/5
give ur answer in a mixed number
Answers
Answer: 9/1 . or 9
Step-by-step explanation:
Conversion a mixed number 3 3/4 to a improper fraction: 3 3/4 = 3 3/4= 3 · 4 +3/4= 12 + 3/4 = 15/4
part 2
Conversion a mixed number 2 2/5to a improper fraction: 2 2/5 = 2 2/5= 2 · 5 +2/5= 10 + 2/5 = 12/5
part3
Multiple: 15/4 * 12/5 = 15 · 12/4 · 5 = 180/20= 9 · 20/1 · 20= 9
next intermediate step, , cancel by a common factor of 20 gives 9/1
A closed container has 3.06 ⋅ 10^23 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10^−24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10−24) = 4.73 ⋅ 10−1
0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10-24) = 5.1102 ⋅ 10-1
4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10−24) = 4.73
5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 5.1102
Answers
Answer:
5.11grams
Step-by-step explanation:
EZ
Answer:
d
Step-by-step explanation:
Lin and her younger cousin measure their heights. They notice that Lin is 6 inches taller, and their heights add up to exactly 100 inches.
How tall are Lin and her cousin?
Answers
100 - 53 = 47 Inches
can someone define the word of an pre-image in math
Answers
Answer:
The image before a transformation is performed.
Step-by-step explanation:
Hope it helps!
This means the image that was there before a translation, reflection, rotation, or dilation was performed.
performed.
This means the image that was there before a
translation, reflection, rotation, or dilation was
performed.
What is the answer for 14 times 50
Answers
Answer:
700
Have a nice day!
Answer:
700
Step-by-step explanation:
Use long multiplication to evaluate.
700
Hope this helps you!
15 POINTS IF SOMEONE ANSWERS QUICK
Answers
Answer:
The 16 cases will fit the box as shown.
Step-by-step explanation:
One disk case has the dimensions 14.2 cm by 19.3 cm, with thickness 1.6 cm.
Temporarily ignoring the 14.2 cm and 19.3 cm measurements, we multiply this 1.6 cm thickness by 16, obtaining a total thickness for the stack of cases of 25.6 cm.
1) The 16 cases, arranged as shown, and measuring 25.6 cm from left to right in this diagram, will fit within the 26 cm horizontal distance shown.
2) The horizontal length of each case is 14.2 cm. Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.
3) The vertical measurement of each case is 19.3 cm. The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.
All indications are that the 16 cases will fit comfortably inside the box.
Answer:
16 discs capacity of the cuboid.
Step-by-step explanation:.
for simplicity...
i would just divide 26cm to 1.6cm = 16 .25
therefore, 16 discs capacity of the cuboid.
A rectangle measures 2 1/4 meters by 1 7/8 meters. What is its area??
Answers
Hello!
2^1/4 * 1^7/8
= 0.5 * 0.125
= 0.0625
Step by step equation:
Separate the whole numbers and fractions.
Whole numbers: 2, 1
Fractions: 7/8, 1/4
Now simplify the fractions.
To make the fractions have even denominators we must multiply 1/4 by 2 on the top and bottom, changing 1/4 into 2/8.
Now that the fractions are simplified we multiply them together. 7/8 • 2/8 = 14/8. We now turn this into a mixed number, 1 and 6/8’s.
Now let’s multiply the whole numbers,
2•1 = 2. Now that we have all the numbers laid out let’s combine them.
2 + 1 + 6/8 = 3 6/8’s. Since this is out area you want to make sure to label the product correctly and the label here is meters so the answer would come out to be:
3 6/8’s meters sq.
Hope this helps!
*100 POINTS** 7th grade geometry pls help
Answers
Answer:
Height = 10 cm
Step-by-step explanation:
The volume of a pyramid can be found using the following formula:
\(\boxed{\large \textsf{$V=\frac{1}{3}Ah$}} \large \textsf{ where:}\\\\ \normalsize \textsf{$\bullet{\,V = $ volume of pyramid$}$}\\ \normalsize \textsf{$\bullet{\,A = $ base area$}$}\\ \normalsize \textsf{$\bullet{\,h = $ perpendicular height$}$}\)
Note: in the question, it states that base area = 12 cm³, however, this is an error (typo), and the area is 12 cm², since area is only in 2 dimensions. length and width, whilst volume is in 3 dimensions. length, width, and height.
Now, we can plug in our data into the formula:
\(\large \textsf{$40=\frac{1}{3}12h$}\\\\ \large \textsf{$40=4h$}\\\\\boxed{\boxed{\large \textsf{$\therefore h = 10$ cm}}}\\\)
PLSSSSS HELPPPPPPP! will give 3 free brainliests if right
Answers
Answer:
1 to 4
Step-by-step explanation:
Given function:
10 to 4020 to 80as you can see, everytime it goes up, it multiply by 4...this means that 1 dollar=4 phone book...
Divide both digit by highest factor:
\(10*10=1\) \(40*10=4\)Therefore, for every dollar, Sammy can get 4 phone books.
helppppppppppppppppppppppppppppp fastttttttt
Answers
Answer: (-2,0)
Step-by-step explanation: it just is
Answer:
(-2;0)
Step-by-step explanation:
Абсцисса -2, ордината 0
Error Analysis: A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing $6 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Part 1: The correct selling price is (Round to the nearest dollar as needed.)
Part 2: What was the manager's likely error?
A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.
Answers
Answer:
To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.
Therefore, the correct selling price is $4.
The manager's likely error was that they set the selling price at the cost (option C).
Step-by-step explanation:
The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of item = $6
Markup = 67%
67% of $6 ⇒ 0.67 x 6 = $4.02
Add the markup in the cost = $6 + $4.02 = $10.02
Round to nearest dollars = $10.2 ≈ $10.
The manager put $4 which is a markup instant of the selling price of $10.
Hence "The correct selling price is $10 and the manager set the selling price at the markup".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
Snow fell in Newton twice in one day. The town received inch of snow in the morning and another inch of snow in the afternoon. How many total inches of snow fell in Newton on that day?
Answers
Answer : 1+1=2
Step-by-step explanation
1inch snow in am plus 1in snow in pm equals a total of 2in snow for that day.
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Mama Mia’s Pizzeria used 68 ounces of mozzarella cheese to make pizza.
How many pounds of mozzarella cheese did they use?
Responses
A 12.512.5
B 4.254.25
C 6.86.8
D 17
Answers
Answer:
B.
Step-by-step explanation:
I looked up ounces to pounds and used a calculator.
I WILL GIVE YOU BRAINLIEST IF YOU HELP ME WITH THIS MATH WORKSHEET (1/2)
Answers
Answer:
Step-by-step explanation:
1) corresponding angles
2)alternate interior angles
3)alternate interior angles
4)corresponding angles
2x-7=123
2x=130
x=65
5)corresponding angles
6x-11=5x
6) alternate interiot
40=14-2x
26=-2x
-13=x
help mee please thx :)
Answers
Dan= 1.90
Ana= 1.89
Les= 1.75
Tom= 1.00
Answer:
H.
Step-by-step explanation:
Tom ran the fastest taking him 1 minute to finish.
Les took 1 minute and 45 seconds to finish.
Ana took about 1 minute and 53 seconds to finish.
Dan took 1 and 54 seconds to finish.
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
help me plz whoever helps thank you
Answers
Answer:
B, 51, 60, 69
Step-by-step explanation:
15 + 9 = 24
24 + 9 = 33
33 + 9 = 42
So the next numbers should be 9 "away" from the previous number.
42 + 9 = 51
51 + 9 = 60
60 + 9 = 69
So the answer is B
Write five different integers that have a mean of -10. Explain how you found your answer.
Answers
Mean is the AVERAGE.
The five integers I listed all add up to 50. You calculate average by finding the total of all the numbers, then divide by the amount of numbers (in this case, 5).
Those numbers added together make 50. 50/5=10. There you have your answer.
could someone please help me?
Answers
Rental cost for each movie: $22.25
Rental cost for each video games: $12.2
for movies 22.25
and video game is 12.2
please help me I’ll give brainliest oelskehejej
Answers
Step-by-step explanation:
\( \frac{11}{3} \)
Answer:
11/3
Step-by-step explanation:
44/12 (divide both by 2)
22/6 (Divide again by 2)
11/3
HELP im not smart- ill mark u as brainiest
Answers
Answer:
i believe its 175 digrees
Step-by-step explanation:
i used a protractor
Answer:
135 degrees
Step-by-step explanation:
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track. Part A The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function. Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.
Answers
Answer:
Part A
Kelsey is doing the o's which is correct within a graph and Ray is doing the y-intercept which is also correct. This means that Both are correct because of the data in the graph Both of them are specific within using the graph to help them
Step-by-step explanation:
HELP!!!GIVING OUT BRAINLIEST
Answers
Answer:
3?
Step-by-step explanation:
Just a basic thinking, but since theres 2 people and the probability is unknown , 1/2 1+2=3