What are some possible solutions for the following inequality?
-3x+5x-2>-4x+1
Answers
Answer:
Any value greater than 0.5.
Step-by-step explanation:
First, set the inequality to an equation and solve for x:
\(-3x+5x-2=-4x+1\\2x-2=-4x+1\\2x-2+4x=-4x+1+4x\\6x-2=1\\6x-2+2=1+2\\6x=3\\(\frac{1}{6})6x=3(\frac{1}{6})\\x=\frac{1}{2}\)
This is the value at which the inequality equals 0. To test the inequality and determine whether x is greater or less than \(\frac{1}{2}\), choose any value of x that is easy to work with on either side of \(\frac{1}{2}\):
For x=0:
-3(0)+5(0)>-4(0)+1
0>1 This is not a true statement. Therefore, x is not less than \(\frac{1}{2}\).
For x=1:
-3(1)+5(1)>-4(1)+1
-3+5>-4+1
2>-3 This is a true statement. Therefore, x is any value greater than \(\frac{1}{2}\).
Related Questions
What is the answer to 6 - 1 1/2
Answers
Answer:
the answer is 0.5
Step-by-step explanation:
11/2=5.5
6-5.5=0.5
Answer: Heyaa! ~
Your Answer is... 4.5 or in exact form its, 9/2
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple (LCM) of the denominators. This number is same as the least common denominator (LCD).You can then write each term as an equivalent fraction with the same LCD denominator.Hopefully this helps you! ^^
pls help i dont know how to do it
Answers
Answer:
I think I know #2.
Step-by-step explanation:
25-30, so choose a number
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
Jaime and Ryan work at the grocery store. The wages earned for the weekend are shown in the table and graph. Who gets paid more per hour. Explain
Answers
Answer: In my opinion I think Ryan gets paid more
Step-by-step explanation: because Ryan gets paid 25 dollars for 3 hours, but Jaime only gets paid 24.
Calculate the snow load for the low-slop (flat) roof. For this structure, we will use the following coefficients. Cs = 1.0 Ce = 1.0 Ct = 1.0 Is = 1.1 Pg = 25
Answers
Answer:
The width of member is as follows:
b = 3 ft
b = 3 × 12 in.
b= 36 in.
The depth of member is as follows:
d = 8 ft
d = 8 × 12 in.
d=96 in.
Since the structure used is Douglas fir-Larch lumber of size 3 × 8 size. Hence, tensile strength, f =1000 psi
Calculate the net area of the member as follows:
A = (b - ∅) × d
A= (36 - 7/8) × 96
\(A = 3372in^{2}\)
Calculate the maximum axial tensile load by ASD method as follows:
P = f × A
P = 1000 x 3372
P = 3372000 lbs
P = 3372 kips
A). Write an equation in slope-intercept
form for a line that goes through the points
(2, 7) and (4, -4).
Answers
Answer: y = -5.5x +18
Step-by-step explanation: -11/2 = 5.5
Answer: y= -11/2x + 7
Step-by-step explanation:
(2,7) and (4,-4)
Do \(\frac{y^{2} - y^1}{x^2-x^1} \\\) so it should look like this \(\frac{-4-7}{4-2} =\frac{-\\11}{2}\)
\(\frac{-11}{2}\) is your slope
Then you need to find your "b" term.
\(-4=\frac{-11}{2} (2) +b\)
Multiply -11/2 by 2 and add 11 to both sides
Then do -4 + 11 which equals 7
So 7 is your b term
So your answer is y= -11/2 + 7
What is the answer to 2/3 x 6 ??
Answer with explanation please
Answers
The answer is for because it 2/3 OF 6 so divide so divide 6 bye 3 and get 2 then multiply by 2 which is 4
Explanation
2x6 is gonna equal 12 so that is 12/3 and 3 can go into 12... 4times
HELP!!! HELP!!! WILL GIVE BRAINLIEST
Answers
Answer:
(a) Two x plus eight is greater than negative four
(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded
Step-by-step explanation:
(a)
Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:
Two x plus eight is greater than negative four
(b)
We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.
Subtract 8 from both sides:
2x + 8 - 8 > -4 - 8
2x > -12
Divide by 2:
x > -12/2
x > -6
So, the solution set is all numbers greater than -6.
Drawn on a number line, we would first place an open circle at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.
[PICTURE ATTACHED] HEEELLPP!
![[PICTURE ATTACHED] HEEELLPP!](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/a15erAZ2hhbgv3796RuuSXVMm0pVenbv.png)
Answers
Answer:I believe it is ther last one about negative info.
Step-by-step explanation:
i was gone sick for this class and don’t know what the heck to do. I don’t need answers, just explanations on what to do.
(conversion factors and equivalent rates homework by the way)
Answers
Answer: conversion factor is just how much of it is in another unit
Step-by-step explanation:
for example, 5280 feet are in a mile so the original rate of 15 in a hour can be turned into the equation on the first image.
Original rate (15 miles) x conversion factor (5280 feet are in a mile)
So when you multiple get 79,200 which simple means, in one hour she will go 79,200 ft. This concept can be applied to other scenarios such as feet and meter, liters and gallons, miles and kilometers, all that’s necessary is to know the conversion rate. The conversion factor is simple how much of your term is in another, this may be confusing but imagine it like this how many feet are in a yard? The answer is 3 so the conversion factor is just 3ft:1yd
Find the missing length of the figure.
Answers
Answer:
x=16 cm
Step-by-step explanation:
By Pythagorean theorem:- \(a^2+b^2=c^2\)
\(20^2=12^2+x^2\)
\(x^2=400-144\)
\(x^2=256\)
\(x=16\:cm\)
~
Hope this helps!
Check the picture below.
The regular price of a pair of jeans is $49.50. During a sale, the jeans were marked as 15% off. What was the approximate price of the jeans during the sale?
A.$3.30
B. $7.43
C. $42.08
D. $56.93
Answers
49.50x1.15=59.92
Therefore, the approximate price of the jeans during the sale was $56.93.
at the end of 8 rounds he had 2 points after one more round he has 8 points express the change in points on the most recent round as a integer
Answers
2+x=8
X=6
Solve for x : x=6
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
Answers
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
if an inequality states less than OR equal to that means the circle will be closed when graphed
Imagine below explains, please help! This is my last question on my homework.
Answers
2 ⇒ 1
3 ⇒ 3
4 ⇒ 2
5 ⇒ 1
6 ⇒ 3
7 ⇒ 5
8 ⇒ 2
9 ⇒ 4
10 ⇒ 0
11 ⇒ 2
12 ⇒ 2
Hope my answer helps you✌️
Mark BRAINLIEST
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter. How old am I now?
Answers
Answer:
65 years old.
Step-by-step explanation:
Define the variables:
Let x be the age of the granddaughter.Let y be the age of the grandparent.Given:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Create two equations with the given information and defined variables:
\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)
Substitute the first equation into the second equation and solve for x:
\(\implies 13x+1=11(x+1)\)
\(\implies 13x+1=11x+11\)
\(\implies 2x=10\)
\(\implies x=5\)
Substitute the found value of x into the first equation and solve for y:
\(\implies y=13(5)\)
\(\implies y=65\)
Therefore, the age of the grandparent now is 65 years.
Given statements:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.
\(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)
Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.
⇒ G + 1 = 11(D + 1)⇒ G + 1 = 11(D + 1) [G = 13D]⇒ 13D + 1 = 11(D + 1)To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.
⇒ 13D + 1 = 11(D + 1)⇒ 13D + 1 = 11D + 11Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.
Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.
⇒ 13D + 1 - 11D = 11D + 11 - 11D⇒ 1 + 2D = 11To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:
⇒ 1 + 2D - 1 = 11 - 1⇒ 2D = 10But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.
⇒ 2D = 10⇒ 2D/2 = 10/2Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.
⇒ 2D/2 = 10/2⇒ D = 5Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.
⇒ G = 13D ⇒ G = 13(5)⇒ G = 65 yearsTherefore, the age of the grandparent is 65 years.
100 POINTS MATHAMATICS PLEASE ANSWER ASAP
look in image and answer ALL 4 PROBLEMS
Answers
2. Pencils measuring less than 5 inches: 3 + 2 + 3 = 8 inches in total.
3. False. To determine if more than half of the pencils are 6 inches or shorter, we need to find the total number of pencils and calculate how many of them are 6 inches or shorter.
Total number of pencils = 4 + 3 + 2 + 3 + 7 + 8 = 27
Number of pencils that are 6 inches or shorter = 4 + 3 + 2 + 3 = 12
To find out if more than half of the pencils are 6 inches or shorter, we need to divide the number of pencils that are 6 inches or shorter by the total number of pencils and multiply by 100%:
12/27 x 100% = 44.44%
Since 44.44% is less than 50%, the statement is false.
4. There are three pencils that measure more than 5.5 inches but less than 7.5 inches: 6, 6, and 7. Therefore, the answer is 3 pencils.
(Make sure you look over this and if you have any questions about this comment before you submit make sure this seems right to you and if you understand this or not)
2. Would be the number 8
3. Would be false
4. Would be the number 3
A coach calculated the mean and the mode of the number of points scored by 6 players.
• mean: 7 points
mode: 8 points
How many points did player 5 score?
Answers
Because 8+8+8+6+7+5=42
Then divide that by 6 to get the mean - so 42/6=7 so that’s the correct mean
Explanation:
Mean = average
Equation: total points scored/total players
Mean=7+8+6+8+?+8/6
The mean is given: 7
So plug it in:
7=(7+8+6+8+?+8)/6
Factor to solve:
Add all the numbers together to leave just the missing number (?)
7=(37+?)/6
To get rid of the 6 multiply it over to the other side
6x7=37+?
42=37+?
Now subtract the 37 to the other side to find the missing number (?)
42-37=?
5=?
Now let’s check:
7+8+6+8+(5)+8=42
Add:
42
Now divide by 6
42/6=
7
Is 7 the mean they gave us? Yup!
So player 5 scored 5 points
hello! i've been having a bit of trouble with my homework! i'd appreciate it if one of you people could help me out! (this is a middle school mathematics homework question)
Answers
Answer:
The ( simplified ) expression is 7x - 8
Step-by-step explanation:
We are given the expression ( 2x + \(\frac{ 1 }{ 2 }\) ) + ( 5x - 8 \(\frac{ 1 }{ 2 }\) ),
\(( 2x + \frac{ 1 }{ 2 } ) + ( 5x - 8 \frac{ 1 }{ 2 } ) - remove ( )\\,\\2x + \frac{ 1 }{ 2 } + 5x - 8 \frac{ 1 }{ 2 } - combine like terms,\\\\2x + 5x + \frac{ 1 }{ 2 } - 8 \frac{ 1 }{ 2 } - add / subtract,\\\\Simplified Expression ; 7x - 8\)
Solution; 7x - 8
Estimate the difference. 9 1/2 - 1 6/7
8 1/2
8
7
7 1/2
Answers
Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.
a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.
Answers
well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.
Answer: 36 is wrong
Step-by-step explanation: 360 - 36 = 324 degrees
A local hotel manager uses the equation y=115x
to determine the cost for extended hotel stays, where x is the number of days. What is the constant of proportionality?
Answers
Mya’s bedroom is 15 feet long, 12 feet wide. It has no windows. Mya wants to paint all four walls. What surface area will she paint?
A) 180 square feet
B) 720 square feet
C) 162 square feet
Answers
please help there is this question i don't quite get on my maths homework it would be amazing if you could answer it here is a picture of it
Answers
Answer:
r is also 60 degrees, p and q are both 120 degrees
Step-by-step explanation:
you add the 2 60s together because they are the same angles, then you subtract that number from 360, and then divide it by 2 because p and q are both the same, and you get the answer.
r is also 60 degrees, p and q are both 120 degrees
Step-by-step explanation:
you add the 2 60s together because they are the same angles, then you subtract that number from 360, and then divide it by 2 because p and q are both the same, and you get the answer. so yeah there you go
Combine the following -5x - 10 - 2x + 25
Answers
Step by step explanation:
A. 5/8m + 3/4 - 3/8(m + 1) ??
Answers
Answer:
1/4m + 3/8
Step-by-step explanation:
5/8m + 3/4 - 3/8(m + 1)
5/8m + 3/4 - 3/8m -3/8
1/4m + 3/8
HELPPP!!! I'LL MARK BRAINLIEST!!!!!
Answers
Write out the algebraic expression given in each written expression.
16 subtracted from the sum of 48 and bequals 129
A ( 16 - b) + 48 = 129
B (48 + b ) - 16 = 129
C.16 - (48 + b ) = 129
D 48 +(b - 16 ) = 129
Answers
B (48 + b ) -16 = 129
I'll Mark Brainliest
Jack and Marci’s restaurant bill was $50. They usually leave an 18% gratuity, but because they received exceptional service, they decided to leave a larger tip instead. Slide the bar on the interactive tool to increase the amount of the tip.
What percent of the bill would an $11 tip be?
What percent of the bill would a $12.50 tip be?
Answers
Kylie reflected figure C across the y-axis, then translated it up 3 units and 1 unit to the right to create congruent figure C'. Gavin claims there is another method to transform figure C to figure C'. Which of the following transformations could be Gavin’s method? A. Figure C is reflected over the x-axis. B. Figure C is reflected over the y-axis. C. Figure C is rotated 270 counterclockwise about the origin. D. Figure C is translated 7 units to the left and 3 units up. hrry pls in a rush
Answers
Answer:
D. Figure C is translated 7 units to the left and 3 units up.
Step-by-step explanation:
I hope this helps. I am sooo sorry nobody answered you quick enough. :) I hope you have had a wonderful day!
Answer:
It is d
Step-by-step explanation:
i took the quiz and got it right