2(x-3)-8< -4 I need a explanation and the answer please.
Answers
Answer:
The solution to the inequality is:
[tex]x<5[/tex]
The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality
[tex]2(x-3)-8< -4[/tex]
Add 8 to both sides
[tex]2\left(x-3\right)-8+8<-4+8[/tex]
[tex]2\left(x-3\right)<4[/tex]
Divide both sides by 2
[tex]\frac{2\left(x-3\right)}{2}<\frac{4}{2}[/tex]
[tex]x-3<2[/tex]
Add 3 to both sides
[tex]x-3+3<2+3[/tex]
[tex]x<5[/tex]
Thus, the solution to the inequality is:
[tex]x<5[/tex]
The number line solution graph is also attached below.
Related Questions
what is 25% more than 6 feet
Answers
Answer:
7.5 I guess?
Step-by-step explanation:
??
Step-by-step explanation:
l dont understand this can you explain
What is the slope of the line represented by the equation 7 − 14 = −21
Answers
Answer:
M=2
Step-by-step explanation:
Hellppppp plzzz I’m bad at math-
Answers
A car is traveling 60 miles per hour. How long will it take to travel 240 miles?
Answers
Answer:
4 hours
Step-by-step explanation:
240 / 60 = 4
find the length of sides in an isosceles triangle whose sides are 3x-0.4 & x+1.4 (equal sides) and not equal side is x+0.1
Answers
Answer:
The length of the sides are;
2.3, 2.3 and 1
Step-by-step explanation:
If the equal sides are 3x-0.4 and x + 1.4
This means these two are equal to one another
Thus;
3x-0.4 = x + 1.4
3x-x = 1.4 + 0.4
2x = 1.8
x = 1.8/2
x = 0.9
So the length of the sides are as follows;
3x - 0.4
3(0.9)-0.4 = 2.3
x + 1.4
= 0.9 + 1.4 = 2.3
And lastly
x + 0.1
0.9 + 0.1 = 1
transversals angles
Answers
the answer of your question is angle 3
Joseph buys carrots for his horse every weekend. He paid $4.69 for 7 carrots at a farm stand last weekend. This weekend, Joseph paid $5.76 for 12 carrots at the supermarket. Which location offers the better deal?
Answers
Answer:
The super market offers the best deal
Step-by-step explanation:
Answer:
Its the super market ~your friendy neighborhood austrailain~
Step-by-step explanation:
your meal at the school cafeteria costs $3.45. Your friends meal costs $3.90. you pay for both meals with a $10bill. How much change do you receive? show your work
Answers
Answer:
You pay for both 10-(3.45+3.90)= 2.65Answer:
well for me
Step-by-step explanation:
3.45+3.90=7.35
10-7.35
2.65
. A man has the choice of running either a host-snack stall or an ice-cream stall at a sea side resort during the summer season. If it is a fairly cool summer, he should make Rs. 5000 by running the hot-snack stall, but if the summer is quite hot, he can only expect to make Rs. 1000. On the other hand, if he operates the ice-cream stall, his profit is estimated at Rs. 6500, if the summer is hot, but only Rs. 1000 if it is cool. There is a 40 per cent chance of the summer being hot. Should he opt for running the hot-snack stall or the ice-cream stall. Give mathematical argument.
Answers
Answer:
The investment cost from ice cream is significantly smaller than the hot dog shop, the man could perhaps opt for something like a hot dog stall.
Step-by-step explanation:
The given values are:
Percentage of being hot summer,
= 40%
i.e,
= 0.4
So that,
The percentage of being cold,
= 1 - 0.4
= 60%
Now,
From hot dog, the expected profit will be:
⇒ [tex]5000\times P(cold \ summer) + 1000\times P(hot \ summer)[/tex]
On putting the values, we get
⇒ [tex]5000\times 0.6+1000\times 0.4[/tex]
⇒ [tex]3400[/tex]
From ice-cream stall, the profit will be:
⇒ [tex]6500\times P(hot \ summer)+1000\times P(cold \ summer)[/tex]
On putting the values, we get
⇒ [tex]6500\times 0.4+1000\times 0.6[/tex]
⇒ [tex]3200[/tex]
So the above is the right response.
david is 5 years older than jonathan. in 6 years, double jonathans age added to quadruple davids age will equal to 128. what is each of their current ages?
Answers
Answer:
David a 17 ans et Jonathan a 12 ans
Step-by-step explanation:
David aura 23 ans dans 6 ans et Jonathan aura 18 ans dans 6 ans
Donc 23 * 4 = 92 et 18*2 = 36 comme 92+36=128 on trouve leurs ages dans 6 ans et on soustrait ensuite 6 à leurs ages dans 6 ans pour trouver leurs ages aujourd'hui
How do i solve
X^56 x X^14
Answers
Answer:
x^70
Step-by-step explanation:
When multiplying exponents, you just add them up.
x^56+14= x^70
Solve for x:122+4x=3x+87
Answers
Answer:
122+4x=3x+87
the first step is to move the variable and constants because we can not add variable and constants together we will move 3x and 122 it will be something like this: 3x-4x=122-87 now that the constants and variables have moved we can solve it because we moved them the addition symbol will become a subtraction symbol the answer will be: 1x=35
Step-by-step explanation:
122+4x=3x+87
3x-4x=122-87
1x=35
I hope this helped
Find m∠1. Then classify the triangle by its angles
Answers
9514 1404 393
Answer:
∠1 = 60°equilateral triangleStep-by-step explanation:
The sum of angles in a triangle is 180°, so we have ...
60° +60° +∠1 = 180°
∠1 = 180° -120° = 60°
The measure of angle 1 is 60°.
All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.
Please help!
Stephen had his scooter repaired for a total of $90. The cost for the parts was $25. The cost for the labor was $15 an hour. If h represents the number of hours, which of the following shows an equality between two different ways of expressing the total cost of Stephen's scooter repairs?
A. 40h = 90
B. 15 + 25h = 90
C. 90 + 25h = 15
D. 15h + 25 = 90
Answers
Answer: D
Step-by-step explanation:
Answer:D
Step-by-step explanation:
...
A circular region has a population of about 250,000 people and a population density of about 125 people per square mile. Find the radius of the
region. Round your answer to the nearest hundredth.
The radius of the region is about
miles
Answers
Answer:
2.5 km
Step-by-step explanation:
please help me answer this!! i will give brainliest and 5 star rating!!
Answers
As you can see triangle DEF has been enlarged from triangle ABC
Two sides are given, so you can find the scale factor.
20/6=10/3=3.3333333
Multiply 24 by 10/3 to get x
Which gives you 80
c=80cm
What is the equation of the line that passes through the point (8,-8) and has a
slope of – 12
Answers
Answer:
y + 8 = -12(x - 8)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (8, -8)
Slope m = -12
Step 2: Write Function
Substitute variables into general form.
y + 8 = -12(x - 8)
At a concert, you buy some T-shirts for $12.00 each and the
same number of CDs for $7.50 each. Write an expression in
simplest form that represents the total amount spent.
Answers
Answer:
19.5x
Step-by-step explanation:
12x +7.50x = 19.5x
x-is the number of t-shirts or CDs
hudson went into a restaurant and bought 8 hamburgers and 4 drinks, costing a total of $52. Levi went into the same restaurant and bought 5 hamburgers and 7 drinks costing a total of $46.
Answers
Answer:
The price of each hamburger is $5 and the price of each drink is $3.
Step-by-step explanation:
x --> the price of each hamburgery --> the price of each drink8x+4y=525x+7y=46Solve system of equationsThe intersection is (3,5)A hockey player has a total record of 90 points earned based on goals and assists. If his ratio of goals to assists is 7:3, how many goals did he get?
Answers
Answer:
[tex]63[/tex] goals
Step-by-step explanation:
Given information:
Total points earned from goals and assists = [tex]90[/tex]
Goals : assists = [tex]7:3[/tex]
Finding the number of goals:
Goals [tex]=\frac{7}{3+7}\times90[/tex]
[tex]=\frac{7}{10}\times90[/tex]
[tex]=63[/tex]
∴ The hockey player earned [tex]63[/tex] goals.
Hope this helps :)
Reason: because it is
Solve there Systems of equations. Step - by - Step 2x + y = 15
3x - y = 5
Answers
Answer:
2x+y=15, 6x+3y=45
3x-y=5, 6x-2y=10
Y=35, plug it in, x=-10
Step-by-step explanation:
The stock of Company A lost $2.55 throughout the day and ended at a value of $57.45. By what percentage did the stock decline?
Answers
Given:
Loss = $2.55
Value of stock after loss = $57.45
To find:
The percentage by which the stock decline.
Solution:
We have,
Loss = $2.55
Value of stock after loss = $57.45
Value of stocks before loss = Value of stock after loss + loss
= $57.45 + $2.55
= $60
Now,
[tex]\text{Percentage by which the stock decline}=\dfrac{\text{loss}}{\text{initial value}}\times 100[/tex]
[tex]\text{Percentage by which the stock decline}=\dfrac{2.55}{60}\times 100[/tex]
[tex]\text{Percentage by which the stock decline}=4.25%[/tex]
Therefore, the stocks of the company declined by 4.25%.
Can u guys PLEASE ANSWER this question 2 ASAP
Answers
Answer:
Sorry but where's the question
Step-by-step explanation:
Tony wants to buy a new iPad mini for his birthday. A brand new iPad mini has a regular price
of $399. If Tony buys the iPad today, he will receive 20% off the original price. Find the
discount and the sale price of the iPad mini.
Answers
Answer:
319.20
Step-by-step explanation:
399×20%=79.8
399 - 79.8= 319.20
Name:
BARALAR
Index No asuelon
25. The average of 5 girls is 21 years. If the age of one of them is 8 years
calculate the average age of the remaining girls.
Answers
Answer:
24.25 years
Step-by-step explanation:
We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.
We have: 21 = [tex]\frac{sum}{5}[/tex]
sum = 21 · 5 = 105
Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.
Therefore, the average age of the 4 remaining girls is [tex]\frac{97}{4} = 24.25[/tex] years.
Hope this helps!
Answer:
24.25
Step-by-step explanation:
Since the average of 5 girls is 21, there total age is 105 (21*5)
If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25
Hope this helps you!
Find the sum.
(8b + 8) + (7m – 2) + (4n + 4)
(8b + 8) + (7m - 2) + (4n + 4) =
(Simplify your answer.)
Answers
Answer:
8b + 7m + 4n = -10
Step-by-step explanation:
(8b + 8) + (7m – 2) + (4n + 4)
First thing to do is to try to open the brackets, so we have
8b + 8 + 7m - 2 + 4n + 4 =
Next, we collect like terms, so that we have
8b + 7m + 4n + 8 - 2 + 4 =
8b + 7m + 4n + 10 =
And rearranging, we have that
8b + 7m + 4n = -10
What is the equation of this line in slope-intercept form? A. y=-4x+1 B. y=-1/4x+1 C. y=4x-1 D. y=4x+1.
Answers
Answer:
A (y= -4x+1)
Step-by-step explanation:
The ‘+1’ in the answer represents the point at which the line cuts the y axis (it crosses the y axis at +1)
The -4x comes from finding the gradient of the line which is done by using the formula (y2-y1)/(x2-x1) which will give you -4
help please ill mark brainliest
Answers
Answer:
your right that the right answer
Answer:
last one is right please please please mark me brainliest if apreciated
Step-by-step explanation:
HELP!! (20-30 points) and brainlist
Answers
Answer:
82.8
Step-by-step explanation:
Formula
multiply the length value by 36
what is the quotient of -0.05 ÷ -5/16
Answers
Answer:
Step-by-step explanation:
-0.05 you will multiply with reversal of -5/16
-0.05 x (-16/5)= 0.01x16=0.16