-3 (x- 4/5) ≤ 6 solve step by step
Answers
-3x + 12/5 ≤ 6
Next, we can subtract 12/5 from both sides of the inequality to isolate the variable term on the left side.
-3x ≤ 6 - 12/5
Simplifying the right side of the inequality:
-3x ≤ 30/5 - 12/5
-3x ≤ 18/5
Finally, we can divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the direction of the inequality.
x ≥ -18/15
Simplifying:
x ≥ -6/5
Therefore, the solution for the inequality is x ≥ -6/5.
Distribute the -3:
-3x + 12/5 ≤ 6
Subtract 12/5 from both sides:
-3x ≤ 6 - 12/5
Find a common denominator:
-3x ≤ 30/5 - 12/5
-3x ≤ 18/5
Divide by -3, remembering to flip the inequality since we are dividing by a negative number:
x ≥ -18/15
Simplify:
x ≥ -6/5
Related Questions
Which graph shows the correct solution to the inequality below?
Answers
Answer:
Third Option
Step-by-step explanation:
3x + 18 > 6x - 9
We have to find the value of x for this
Subtract 18 from both sides to leave 3x alone
3x > 6x - 27
Subtract 6x from both sides to be able to find the value of x
-3x > -27
Divide by -3 on both sides
x > 9
The answer would be the third option, since X is anything greater than 9
Is the triangle obtuse, acute, equilateral or right?
Answers
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
\(\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}\)
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
\(\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}\)
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
In parallelogram LMNP if m∠NPL = 150 find m∠LMN
Answers
Answer:
The answer is 150°
Step-by-step explanation:
x=150(opposite angles in a quadrilateral
explanation- since it's a quadrilateral. Quadrilateral bisects which means they're congruent.
What do I do where it says "Rewrite The False Statement To Make It True"?
Answers
Answer:
the rate of change is $50
Step-by-step explanation:
each ticket costs $50 not 100
Each ticket cost 50$ and 2 cost 100
Classify the quadrilateral using the name that best describes it.
A) Parallelogram
B) Rectangle
C) Square
D) Trapezoid
Answers
Answer:
Classify the quadrilateral using the name that best describes it.
A) Parallelogram
B) Rectangle
C) Square
D) Trapezoid
Step-by-step explanation:
Answer::
Trapezoid
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
Geraldo is going to buy a new fishing pole and bait before he meets up with his friends this afternoon. The fishing pole cost $15. The bait cost $2.75 per pound and is only sold in full pounds (you can't get half a pound.) If Geraldo has $30, how much bait can he buy?
Answers
Answer:
5 pounds
Step-by-step explanation:
Answer:
5 pounds
Step-by-step explanation:
We can use a inequality to answer this question: it will be
--- 2.75b + 15 < 30 (let b equal the bait)
subtract 15 on both sides
---- 2.75b < 15
divide 2.75 on both sides
---- b = 5.4.... (rounded)
Since you can't buy some of a pound, he can Geraldo can only buy 5 pounds of bait. Hope this helps.
Find the area of a circle with diameter 18 ft Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
254.34 ft²
Step-by-step explanation:
Formula for the area of a circle: \(A=\pi r^{2}\)
To solve this problem, all you need to do is plug in the correct values for the variables and solve.
1) In the formula, r stands for radius of the circle, which is half of the diameter. Knowing this, we can find the radius by dividing 18 by 2 to get 9. So, r = 9.
2) The problem also tells us to use 3.14 for pi, so that's a given.
3) With all of this information, we can plug in the appropriate values for each variable to get. \(A=3.14(9^{2})\) Now, solve the problem and you should have get \(A=254.34\).
what point below is the solution to the expression 2x+y=12
A) (4,2) C) (8,-1)
B) (3,6) D) (0,6)
Answers
Answer:
Step-by-step explanation:
It's B.
Let's rewrite the expression like this :
2x+y=12 ⇒ y=12-2x
and try given values for x :
if x=4 ⇒ y=12-(2×4)=12-8=4 ( so it is not 2 ) ⇒ wrong if x=3 ⇒ y=12-(2×3)=12-6=6 (it is 6) ⇒ right if x=8 ⇒ y=12-(2×8)=12-16=-4 (so it is not -1) ⇒ wrong if x=0 ⇒ y=12-(2×0)=12-0=12 (so it is not 6) ⇒ wrongSomeone help me with this and tell me how you did it
Answers
Answer:
4 and 10
Step-by-step explanation:
first multiply 1.9 and 4.4 = 8.36 now round it to the closes number which is 8 now 4 is a multiple of 8 and 8 is bigger than 5 so ten
The tape diagram below represents 100\%100%100, percent.
What percent is represented by the shaded area?
Answers
Answer:
Step-by-step explanation:
Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent
A theater company has raised $810.75 by selling 15 floor seat tickets. Each ticket costs the same.
Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)
Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)
Answers
Let's assume the price of each floor seat ticket is represented by the variable 'x'.
Since the theater company has raised $810.75 by selling 15 floor seat tickets, we can create an equation using the concept of total revenue. The total revenue is calculated by multiplying the price of each ticket by the number of tickets sold.
Therefore, the equation can be written as:
15x = 810.75
In this equation, '15x' represents the total revenue from selling 15 tickets at the price of 'x' per ticket, and '810.75' represents the total amount of money raised.
Part B:
To solve the equation 15x = 810.75, we need to isolate the variable 'x' on one side of the equation.
Dividing both sides of the equation by 15, we have:
x = 810.75 / 15
Evaluating the division, we find:
x ≈ 54.05
Therefore, the price of each floor seat ticket is approximately $54.05.
To confirm the solution, we can substitute the value of 'x' back into the original equation:
15 * 54.05 ≈ 810.75
This equation holds true, as the left side is approximately equal to the right side. Hence, we can conclude that the solution is correct.
I hope this helps! :)
Part A: 15x= $810.75. Part B: x= $54.05
The total money earned from 15 tickets is $810.75.
Assume, the money earned from selling 1 ticket is $x.
Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75
Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.
Using the equation above,
15x= $810.75.
Dividing both sides by 15,
We get,
x= $54.05
Hence, $54.05 is the price of each ticket.
To learn more about linear equations with single variable:
https://brainly.com/question/28555579
−16.2=x−(−9.3) HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPP
Answers
Answer:
x=-25.5
Step-by-step explanation:
-16.6=x-(-9.3)
-16.2=x+9.3
-16.2-9.3=x+9.3-9.3
-25.5=x
x=-25.5
I just two questions :)
Answers
Answer:
Hi There!!
Step-by-step explanation:
Your answers are:
1. C2. AI hope this helps!!
- abakugosimp
Use any of the digits 1, 3, and 9 and the operation signs +, -, x, divide, to write all the whole numbers from 1 through 13. Each digit can be expressed only once in each example. You can use other digits in the expression, but you must also use a 1, 3, or 9 at least once in each expression.
Answers
Answer:
d) 3+1
e) 9-3-1
f) 9-3
g) 9-3+1
h) 9-1
i) 9 x 1
j) 9+1
k) 9+3-1
l) 9+3
m) 9+1+3
4x1 or 5-1
15/3 or 4+1
54/9 or 7-1
7x1 or 7-0
64/8 or 11-3
9x1 or 81/9
19-9 or 7+3
21-10 or 11x1
9+3 or 12/1
14-1 or 13x1
Which expression is equivalent to :
4/5 (v - 5w + 7)
A.4/5 v -20w + 28/5
B.4v - w + 28
C.4/5v - 4/25 w + 28/5
D.4/5v - 4w + 28/5
Answers
Answer:
A
Step-by-step explanation:
ayan Yung tamang sagot
100 points!!!!!!!!!!
A community has an empty field ready for development and plans to place a playground in the center. A model of the plan for the project is shown. A large rectangle with dimensions of 21 feet by 36 feet. Inside it is a smaller rectangle with dimensions of 15 feet by 12 feet. How much area is left for development in the field outside the playground? 756 ft2 576 ft2 288 ft2 180 ft2
Answers
Answer:
576 ft²
Step-by-step explanation:
Large rectangle:
21·36=756
Smaller rectangle:
15·12=180
Find leftover area:
756-180
=576 ft²
Hope this helps! :)
Answer:
The area that is left for development in the field outside the playground is 576 ft².
Step-by-step explanation:
To calculate the area left for development in the field outside the playground, we need to subtract the area of the smaller rectangle from the area of the larger rectangle.
The area of a rectangle is the product of its width and length:
\(\boxed{\sf Area\;of\;a\;rectangle=width \times length}\)
The dimensions of the larger rectangle are:
width = 21 ftlength = 36 ftThe dimensions of the smaller rectangle are:
width = 15 ftlength = 12 ftTherefore, the development area can be calculated as follows:
\(\begin{aligned}\sf Development \;area&=\sf Area_{large\;rectangle}-Area_{small\;rectangle}\\\\&=(21 \times 36)-(15 \times 12)\\\\&=756-180\\\\&=576\; \sf ft^2\end{aligned}\)
Therefore, the area that is left for development in the field outside the playground is 576 ft².
There are 9,075 trees in Memorial Park. If there are 726 trees per acre, there are __ acres in the park.
Answers
Answer:
12 i think
Step-by-step explanation:
hope it helps
Answer:
12.5 acres
Step-by-step explanation:
A football team was predicted to win 5 games this year. The team won 12 games. What was the percent error of the prediction?
Answers
Answer: 0.6
Step-by-step explanation:
Ask Siri
Brittany needs $5,000 for a down payment on a car. She makes a monthly
deposit of $125 into her savings account. Approximately how many
years will it take Brittany to reach her goal?
Answers
Answer:
it will take her 40 years to reach her goal.
Step-by-step explanation:
jessica jogged 4 laps around a rac in 9 minutes luke jogged8 laps in 27 minutes their rates can be expressed as the ratio 4:9 ans 8:27 are jessicas and luke rate equivalent?
Answers
Answer:
Jessica and Luke rates are inequivalent.
Step-by-step explanation:
Jessica had 4 laps and had 9 minutes.
4 Laps/9 Minutes = 12 laps/27 Minute
12 Laps/27 Minutes ≠ 8 Laps/ 27 Minute
So, Jessica and Luke has inequivalent.
Hope this helped you, brainliest if possible, and tell me If I am wrong, I also answered first! :D
hduwc help
okok so.
context.
"Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age of his sister. Miguel is 65 years old. Using the results from Part C, write an equation to find Paula’s age, p (in years)." answer: "r = 65 - 60p"
"Rewrite the equation from Part D by factoring the side that contains the variable p." answer: "r = 5 (13 - 12p)"
"Solve the equation for p to find Paula’s age. Express her age (in years) as a fraction." "answer: p = -1/60r + 12/12"
thingy i need help with is "How many months old is Paula?"
Answers
whats the surface area?
Answers
Answer:
1108 in²
Step-by-step explanation:
You want the total surface area of the pentagonal prism shown.
Base areaThe area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...
A = LW +1/2bh
A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches
Lateral areaThe lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.
LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches
Total areaThe total surface area of the figure is the sum of the two base areas and the lateral area:
SA = 2(114 in²) +880 in² = 1108 in²
The surface area of the composite figure is 1108 in².
<95141404393>
Please help quick! this is my second to last question!
Answers
Answer:
1.) 17
2.) -6
3.) 6
4.) 14
5.) -13
Step-by-step explanation:
1. 2x8+1= 17
2. 10 - (4x4)= 10-16= -6
3. (10/5) + 4 = 2+4= 6
4. (-6 x 1/3) + 16= -2 + 16= 14
5. (8 x -1) - 5= -8 - 5= -13
1.) 17
2.) -6
3.) 6
4.) 14
5.) -13
Find the value of x in each case:
Answers
Answer:
45°
Step-by-step explanation:
The sum of a triangle's angles is 180°.
Let's take the triangle FIG and try to express its angles in function of x.
● < F :
< F +3x = 180 => <F = 180 -3x
● < G :
IK and GH are paralell. IG is crossing them.
x and G are interior alternate angles so they have the same size.
< G = x
● < I :
We khow that < F = 180 -3x and < G = x
< I = 180-(< F + < G )
< I = 180 - ( 180-3x +x)
< I = 180 -(180-2x)
< I = 180 -180 +2x
< I = 2x
■■■■■■■■■■■■■■■■■■■■■■■
< F = 180 -3x
< G = x
< I = 2x
< I + > I + x + 2x = 360
2x + 180-x +3x = 360
4x + 180 = 360
4x = 180
x = 45°
●●●●●●●●●●●●●●●●●●●●●●●
Let's verify :
< F = 180 - 3*45 = 45 °
<G = x = 45°
< I = 2x = 90°
90° +45°+45° = 180°
So it's true.
Anyone understand this???
Answers
Answer: 26
We would add the total responses recorded in the Girls row, which is equal to 32. We would then subtract it from the total of that row, 38. 38 - 32 is equal to 6. 6 girls chose their answer as English. We can check our work by adding the responses to see if they added up to the total. Now we move to the boys. The Maths column is 5. The boys row is missing 2 things - english and total. We can find the total by subtracting 38 from 70. This is equal to 32. Now, we can add 7 and 5 (12) and subtract from the row total (32). This is equal to 20. 20 boys chose English.
Now we add the girls and boys. 6 + 20 is equal to 26. 26 is your answer.
Hope this helps.
URGENT I NEED HELP ANSWERING THESE
Answers
I can only answer 5, use my answer to help find 6.
Answer:
The volume is 259,824,773,000
Step-by-step explanation:
r, or radius is half of the diameter. So we are left with (4 * pi (also known as 3.14159)* 3958.5^3)/3
(7.7947432 * 10 ^ 11) / 3 = 779,474,320,000 / 3
Which is equal to 259,824,773,000 as the volume.
I hope this solves 5 and helps you with 6.
Please help me answer.
Answers
Answer: First blank is 15 then 28 then 25 in the last blank.
Step-by-step explanation:
On the left side column it is going up by 5 and the right column is going up by 7.
And second column is 7,14,21,28,35
The results of a survey show that 40% of 300 students chose conserving natural resources as the top priority for their generation. How many students chose conserving natural resources. Make a model to find the answer.
Answers
Answer:
120
Step-by-step explanation:
multiply the first number together
4 x3 = 12 plus a 0 because it’s 300
Answer:
The answer is 120
.
Which phrase matches the equation -3r + 5 = 28?
a The product of three times a number equals twenty-eight.
b The sum of three and a number times negative five gives twenty-eight.
c The product of negative three and a number plus five equals twenty-eight.
d The sum of negative five plus three times a number equals twenty-eight.
Answers
Answer:
b
Step-by-step explanation:
b The sum of three and a number times negative five gives twenty-eight