Solve the inequality: -2x + 5 ≥ 3x + 20
A) x ≤ 15
B) x ≤ 3
C) x ≥ 3
D) x ≤ -3
Answers
Answer:
D) [tex]x \leqslant - 3[/tex]
Explanation provided above.
The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.
Option D is the correct answer.
We have,
To solve the inequality -2x + 5 ≥ 3x + 20, we can follow these steps:
Subtract 3x from both sides to isolate the variable on one side:
-2x - 3x + 5 ≥ 3x - 3x + 20,
-5x + 5 ≥ 20.
Subtract 5 from both sides:
-5x + 5 - 5 ≥ 20 - 5,
-5x ≥ 15.
Divide both sides by -5.
Remember that when dividing by a negative number, the inequality direction flips:
(-5x) / (-5) ≤ 15 / (-5),
x ≤ -3.
Therefore,
The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.
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Related Questions
MATH EXPERTS I NEED YOU! Is it graph A, B, C, or D?
Answers
Answer:
Its the first graph ok kid
Step-by-step explanation:
A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the same number of students from each grade level on each team. If all students participate, what is the largest possible number of teams and how many students will there be on each team?
Answers
Answer:
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders
Step-by-step explanation:
126 third-graders
180 fourth-graders
198 fifth-graders
Find the highest common factor of 126, 180, 198
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.
Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.
The highest common factor of 126, 180, 198 is 9
The largest possible number of teams that can be formed is 9
Each team has
third-graders = 126 / 9
= 14
Fourth-graders = 180 / 9
= 20
Fifth-graders = 198 divided by 9
= 22
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders
Is the function even, odd, or neither?
Answers
Answer:
The function is neither even or odd
Step-by-step explanation:
which ordered pairs are solutions to the inequality y-3x<-4
(5,1)
(4,-2)
(-3,0)
(1,-1)
(0,-3)
Answers
Answer:
(5,1) (4,2)
Step-by-step explanation:
I need help ASAP with this question
Answers
To work out this you need to do the change in y/ the change in x.
So we take 2 points you are given in the table- e.g (1,5) and (2,1)
So the change in y is from 5 to 1 so it is -4 and the change in x is from 1 to 2 so is 1.
Then you have -4/1 which is just -4.
Let me know if you have any questions!
Gus has a lunch food budget of $190 per month. He spends an average of $5 per day on lunch. Which of the following equations represents how much money is left in his lunch budget after x days of buying lunch?
A.
y = 5x - 190
B.
y = 190 - 5x
C.
y = 190x - 5
D.
y = 190 + 5x
Answers
Answer:
The answer is C.
Step-by-step explanation:
Each day (x) he loses 5 dollars from his total of 190. And C shows that because 190 - 5 x. 190 is his total, 5 is dollars lost a day, and x is days
brainliest will be awarded if uu give the correct answer:)))
- [tex]\frac{5}{8}[/tex] + [tex]\frac{3}{8}[/tex]
Answers
Answer:
[tex]-0.25[/tex]
The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100.
[tex]\frac{25}{100}[/tex]
-BBBM
MLN=QPR. What is the measure of <1 and <2?
Answers
Answer:
B. <1 = 90, <2 = 40
Step-by-step explanation:
Given that ∆MLN = ∆QPR, it follows that the measure of their corresponding angles would be of the same measure.
<P = right angle = 90°
<1 corresponds to <P, therefore, <1 = 90°
<R = 40°
<2 corresponds to <R, therefore, <2 = 40°.
The answer would be: B. <1 = 90, <2 = 40
Solve –8y + 3 > –5.
A. {y | y < –1}
A. {y | y < –1}
B. {y | y > 1}
B. {y | y > 1}
C. {y | y > –1}
C. {y | y > –1}
D. {y | y < 1}
Answers
Answer:
.
Step-by-step explanation:
Step 1: Select a two-digit number less than 100.
Step 2: Add 3 to your number.
Step 3: Double the result.
Step 4: Subtract 9.
Step 5: Multiply by 5.
Step 6: Add 15.
Step 7: Divide by 10
Did you get your original number? Use algebra to show why this works. How is
this problem different from the previous problem?
SOMEONE PLEASE HELPP MEEE!!!
Answers
Answer:
I'm unsure if this helps.
Step-by-step explanation:
step 1= 22
step 2= 25
step 3= 50
step 4= 41
step 5= 205
Step 6= 220
Step 7= 22
Solve using equivalent ratios.
Leila and Joe are two partners in a business. Leila makes $5 in profits for every $9 that
Jo makes. If Jo makes $36 profit on the first item they sell, how much profit does Leila
make?
Answers
Answer:
$20
Step-by-step explanation:
Leila to Jo: $5/$9
Leila to Jo: x/$36
5/9 = x/36
Cross multiply.
9x = 5 * 36
Divide both sides of the equation by 9.
x = 5 * 4
x = 20
Answer: $20
para calcular el tanto por ciento de una cantidad tengo que
Answers
Answer:
Your answer is: Use the percentage formula: P% * X = Y
Step-by-step explanation:
Hope this helped : )
Su respuesta es: Utilice la fórmula de porcentaje: P% * X = Y
Espero que esto haya ayudado :)
Y+5<3 inequality solution
Answers
Answer:
y=2
Step-by-step explanation:
y + 5 < 3
- 5 -5
y = 2
.................................
Guided practice (page 3)
A photo studio charges a $50 sitting fee and $25 per photo sheet purchased. The number of photo sheets purchased equals
spent plus
times the number of dollars
Hint
Submit Answer
Answers
Answer:0
Step-by-step explanation:0=0 he has no money
The equation that represents the total amount will be y = 25x + 50.
What is a linear equation?A connection between two or more factors results in a linear model when displayed on a graph. The parameter will have a degree of one.
The linear equation is given as,
y = mx + c
Where c is the line's y-intercept and m is the line's y-slope.
A photo studio charges a $50 sitting fee and $25 per photo sheet purchased.
Let x be the number of photo sheets purchased and y be the total amount.
The slope of the equation is 25 and the y-intercept will be 50.
y = 25x + 50
The equation that represents the total amount will be y = 25x + 50.
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PLEASE HELP
A cleaning spray contains 1/2 cup of vinegar for every 4 teaspoons of lemon oil
how many cups of vinegar are needed for 2 teaspoons of lemon oil?
Answers
Answer:
1/4 cup of vinegar for 2 tsp of lemon oil
Step-by-step explanation:
got it right on I-ready
and the Rate in cups of vinegar per teaspoons of lemon oil is 1/8
help plz explain how to use discributive property
Answers
1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.
2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.
3.Multiply every term in the equation by the LCM.
4.Isolate variables adding or subtracting like terms on both sides of the equals sign.
5.Combine like terms.
6.Solve the equation and simplify, if needed.
Write the equation of a line in point slope form that passes through (-1, 4), and is perpendicular to y = -4x +3
Answers
Answer:
y = 1/4x + 17/4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Perpendicular lines have the negative reciprocal slope.
m = 1/4
y = 1/4x + b
4 = 1/4(-1) + b
4 = -1/4 + b
17/4 = b
y = 1/4x + 17/4
A person going to a party was asked to bring 4 different bags of chips. Going to the store, she finds 13 varieties.
How many different selections can she make?
(this is a probability question)
Answers
Answer:
Step-by-step explanation:
13!/4(13-4)!
13!/4(9)!
Continue simplifying.
The formula for combinations n!/r!(n-r)! pay attention to class next time
"715" are the different selections she can make.
Given:
Number of different begs,
4Total number of varieties,
13So,
Total number of different selection = ¹³C₄
= [tex]\frac{13!}{4!\times (13-4)!}[/tex]
= [tex]\frac{13!}{(4!\times 9!)}[/tex]
= [tex]\frac{13\times 12\times 11\times 10}{4\times 3\times 2}[/tex]
= [tex]\frac{17160}{24}[/tex]
= [tex]715[/tex]
Thus the above answer is correct.
Learn more:
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The Gators football team gained 4 yards on its first play, but lost 9 yards on the
second play. Which of the following best represents the result of these two
plays?
Answers
Answer:
-5 yards
Step-by-step explanation:
4 - 9
= -5
in that two plays:
loss 5 yards
Tanya has 144 chairs that she needs to
arrange in a square. Which expression would tal
Tanya the number of chairs she needs in each
row?
Answers
Answer:
12 by 12
Step-by-step explanation:
12x12=144 which equals a square
Which of the following is not equal to the rational number 7/4 ?
Option 1: 14/8
Option 2: 10/7
Option 3: 1.75
Option 4: 1 3/4
YOU COULD PICK MORE THEN ONE OPTION
Answers
Answer:
(2) [tex] \frac{10}{7} [/tex]
Step-by-step explanation:
Given the rational number, [tex] \frac{7}{4} [/tex], the following can be said to be equal to the rational number:
1. [tex] \frac{14}{8} [/tex]
Simplify the fraction
[tex] \frac{2*7}{2*4} [/tex]
[tex] = \frac{7}{4} [/tex]
Therefore, [tex] \frac{14}{8} = \frac{7}{4} [/tex]
3. [tex] \frac{7}{4} = 1.75 [/tex] (using your calculator)
4. [tex] 1\frac{3}{4} [/tex]
Convert from mixed fraction to improper fraction
[tex] 1\frac{3}{4} = \frac{7}{4} [/tex]
[tex] \frac{10}{7} [/tex] ≠ [tex] \frac{7}{4} [/tex]
The answer is (2) [tex] \frac{10}{7} [/tex]
Wreh runs laps around a track every day after work. He runs at a constant rate and completes about 12 laps every 18 minutes.
How many minutes does it take Wreh to run 30 laps?
Solve this problem two different ways. Note: cross multiplication will only receive credit as one approach.
Answers
Answer:
It willtake 45 minutes
Step-by-step explanation:
divide 18 by 12= 1.5, so multiply 1.5 by 30
Paige mows
1
4
acre in
1
2
hour. How many acres does Paige mow per hour?
Answers
Answer:
1.16
Step-by-step explanation:
you have to divide 14 by 12 since the amount of acres mowed in 12 hours is how much acres she's mowed.
Rewrite the range of each company’s wireless access devices in feet using scientific notation. (5,280 feet =1 mile)
Answers
Answer: in pics it’s the answer key
Step-by-step explanation:
12(8 – 5) idk to anwsher plz hefp
Answers
Answer:
36
Step-by-step explanation:
12(8-5)
12 * 3
36
Answer:
36
Step-by-step explanation:
(8-5) =3 then u do
12x3=36
Gender plays an important role in the six components of health.
Please select the best answer from the choices provided.
The ANSWER IS
T
I know because I just took the test
Answers
Answer:
sorry I didn't understand the answer t what is the answer t can u elaborated
Answer:
false
Step-by-step explanation:
its right
التاريخ / /
اليوم
موضوع الدرس
و(
is 82
room )
what is
ده by
و به
the
area
0
the
room?can I translate in English
Answers
A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. Good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
Answers
Answer: 5 hours
Step-by-step explanation: the equation is
35x + 25 = 40x just solve it to get 5
What is the scale factor to go from small triangle to the large triangle?
Answers
Martha drove 281.4 miles in 4.2 hours. How fast was she driving?
Answers
Answer:
I think your answer would be 67 mph
Step-by-step explanation:
281.4 / 4.2 = 67
Formula for speed:
d / t = s