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
Which equation represents the line that passes through points (1, –5) and (3, –17)?
Answers
Answer:
y=-6x+1
Step-by-step explanation:
If you have a line that passes through the points (1, -5) and (3, -17), the equation of this line will be y=-6x+1. For verification, -6+1=-5, so the first point is true, and -18+1=-17, so the second point is true as well.
Hopefully the answer is correct and the explanation helps!
Answer:
B
Step-by-step explanation:
The state of matter of a substance depends upon how the atoms in that substance:
a
freeze.
b
expand.
c
shrink.
d
move.
giving away brainliest
Answers
Answer:
B
Step-by-step explanation:
Anyone willing to answer this?
Answers
Answer:
D:he deposits $10 per week
Step-by-step explanation:
Direction: Arrange the following numbers in decreasing order. Write your answer on the blank provided below each number.
1. 89 000, 100 000, 55 000, 67 000-
2. 12 345, 23 456, 34 567, 45 678-
3. 98 765, 87 654, 76 543, 65 432-
Answers
Answer:
1. 100 000, 89 000, 67 000, 55 000
2. 45 678, 34 567, 23 456, 12 345
3. 98 765, 87 654, 76 543, 65 432-
Jesse went to the post
office and bought
some wagon stamps
and some sailboat
stamps. The wagon
stamps cost 4 cents
each and the sailboat
stamps cost 3 cents
each. If Jesse spent 31
cents to buy 9 stamps,
how many of each
type of stamp did he
buy?
Answers
Answer:
9 wagon stamps and 1 sailboat stamp!
Step-by-step explanation:
7×4= 28
28+3=31
Halla el divisor común maximo 24 у 36
Answers
El máximo común divisor es 12
Por cierto, hablo inglés, así que estoy usando Google Translat. :)
Nina earned $35 babysitting. She went to the store and bought 2 CD's. The first CD she chose was priced at $13. The second CD was originally priced at $20.00 and was on sale for $15. After buying the CD's Nina then went to the grocery store with her mother. Her mother spent $6 on Nina's favorite brand of juice. How much money does Nina have left?
Answers
Explanation
15+13=28
28+6=34
35-34=1
Problems
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer
Answers
Answer:
7
Step-by-step explanation:
You must divide 28 by 4 which equals 7.
Find the difference (-5) - 6
Answers
Answer:
-11
Step-by-step explanation:
I don’t understand this question.
Answers
Answer:
The answer is 106 degrees
Step-by-step explanation:
15x + 10x + 4 + 1 = 180°
25x + 5 = 180°
25x = 175
x = 7
since x is 7 you plug it back in to 15x + 1 to find the measure of rqs
15(7) + 1
105 + 1
106
your answer is 106°
x y
-1 3
0 5
1 7
2 9
1. What is the slope? m=
2. What is the y-intercept? b=
3. Write the equation in slope-intercept form:
Answers
Answer:
m=2(0,5)2x+5Step-by-step explanation:
The slope is achieved through (5-3)/((0-(-1)) which is 2. The y-intercept is just where x=0 on the equation so (0,5). 3. Put it all together in y=mx+b to get 2x+5. Hope that helps!
Which components would Mr. Kelly use to write an equation to determine the total cost of the meal, given the amount of the bill, x?
Answers
Segment addition pleas help in struggling
Answers
Answer:
x = -8
Step-by-step explanation:
using what's given, you can make the following equation:
3 + 2x + 22 = x + 17
3 + 22 + 2x - x = 17
25 + x = 17
x = 17 - 25
x = -8
Answer:
Step-by-step explanation:
3 + 2x + 22= x + 17
2x + 25 = x + 17
x + 25 = 17
x = -8
3 + 2(-8) + 22 = -8 + 17
25 - 16 = 9
9 = 9
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
Identify the following series as arithmetic, geometric, both, or neither.
Answers
Answer:
arithmetic
Step-by-step explanation: Hope this helps :)
f(x)=2|5x+7|−1, evaluate f(−4)
Answers
Answer:
Step-by-step explanation:
f(x) = 2 |5(-4)+7| -1
= 2 |(-20)+7| -1
= 2 | -13 | -1
= 26 - 1
= 25
A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-4) is 25.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(-4) can be evaluated by substituting the value of x as -4 in the given function, therefore, the value of f(-4) can be written as,
f(x) = 2|5x+7| − 1
f(-4) = 2|5(-4)+7| − 1
= 2|-20 + 7| - 1
= 2|-13| - 1
= 2(13) - 1
= 26 - 1
= 25
Hence, the value of the function f(-4) is 25.
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In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to boys? Group of answer choices
14:26
14:40
26:40
26:14
Answers
Answer:
26:14
Step-by-step explanation:
It ask for girls first and there are 26, then boys which is 14. So the ratio would be 26:14.
Hope this helps
The local garden store sells bags of mulch for $4.98 each and will deliver the bags for a fee of $15 if Amber purchases 15 bags and has them delivered what is the total amount that Amber will pay?
Answers
Answer:
$89.70
Step-by-step explanation:
To solve this equation, let's formulate a linear equation.
Let [tex]b[/tex] equal bags of mulch.
Let [tex]t[/tex] equal the total amount.
We know the price of each bag of mulch ($4.98), so we can represent this as:
[tex]4.98b[/tex]
We also know that there's a fee of $15, so we can just represent this as:
[tex]15[/tex]
Let's put these values into an equation:
[tex]t=4.98b+15[/tex]
Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:
[tex]t=4.98(15)+15[/tex]
Multiply:
[tex]t=74.70+15[/tex]
Add:
[tex]t=89.70[/tex]
_
Check your work by substituting the total amount into the initial equation:
[tex]89.70=4.98b+15[/tex]
Subtract [tex]15[/tex] from both sides of the equation:
[tex]74.70=4.98b[/tex]
Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:
[tex]15=b[/tex]
Amber did in fact purchase 15 bags, so we know our total amount is correct!
Write the equation of the line passing through the points (6,16) and (9,25).
First find the slope!
Answers
Answer:
y = 3x - 2
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.
Plug in the 2 points:
(y2 - y1) / (x2 - x1)
(25 - 16) / (9 - 6)
9 / 3
= 3
So, the slope is 3. Plug this and a point into y = mx + b to find b:
y = mx + b
16 = 3(6) + b
16 = 18 + b
-2 = b
Then, plug in b and the slope into the equation:
y = mx + b
y = 3x - 2 is the equation of the line
What is the range of 12,20,18,25,6
Answers
Answer:
19
Step-by-step explanation:
The range is the difference between the biggest number and the smallest number
Let's put these numbers in order:
25,20,18,12,6
The biggest number is 25, the smallest number is 6
25-6=?
19
Sample A has a mean of M = 6. Sample B has a mean of M = 10. When the two samples are combined, the mean of the combined group is M = 9. Which of the following is the most accurate description for the two sample sizes?
The samples are the same size.
Sample A is much bigger than Sample B.
There is not enough information provided to determine this.
Sample B is much bigger than Sample A.
Answers
Answer:
Sample B is much bigger than Sample A
Step-by-step explanation:
It is because when seeing sample B alone we can see it has a larger mean than of Sample A. Mean is greater when the values we are using are of bigger value. Since Sample B has bigger values in it so it also a has bigger mean compared to Sample A which has a smaller mean (smaller values in it)
What is the least common denominator of 3/5 and 2/15?
Answers
Answer:
15
Step-by-step explanation:
3/5 = 9/15
2/15 = 2/15
The least common denominator of 3/5 and 2/15 is 15
The least common denominator is the least product value of the given fractions
To do that, we will find the greatest value between the denominators of each fractionGiven the fractions 3/5 and 2/15, we can see that the two integers at the nominator are 5 and 15.
Since 5 can go in 15 without remainder, we do not need to multiply both integers again. The least common denominator will be the greatest value between 5 and 15 and that is 15.
Hence the least common denominator of 3/5 and 2/15 is 15
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Which shows one way the equation can be represented in words? Z-6=14
A.The dfference of a number and z is the same as one and four-tenths.
B.Anumber subtracted from one and four-tenths is equal to six.
C.Six less than a number is the same as one and four-tenths.
D.Sx decreased by a number is equal to one and four-tenths.
Answers
Answer: c
Step-by-step explanation:
c is the answer
The number of suitcases lost by airlines.
Answers
Answer:
4.3 billion
Step-by-step explanation:
Directions: Find the value of x.
5x-2 || 3x+4 || LOOK AT PICTURE PLEASE!!!!
Answers
Answer:
Step-by-step explanation:
180-90=90
5x-2+3x+4=90
5x-2+3x=90-4=86
5x+3x=86+2=88
8x=88
X=11
It will be nice if you give me brainliest.Good luck!
The value of x in the given right triangle is 11.
What is right triangle?A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Given is a right triangle, with angles 5x-2 and 3x+4
We know that the sum of the both acute angles of a right triangle, is 90°
Therefore,
5x-2 + 3x+4 = 90°
8x = 88
x = 11
Hence, the value of x in the given right triangle is 11.
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angle 2 and angle 6 are blank angles
Answers
Answer:
A correspoding
Step-by-step explanation:
Answer:
its a corresponding anglesStep-by-step explanation:
subtract rational numbers 4-10
Answers
Answer:
-6
Step-by-step explanation:
4-10
4+ (-10)
= -6
I need an answer and a explanation so I can do the rest of them
Answers
Answer:
N=85 nickels
Q=18 quarters
9514 1404 393
Answer:
equations: q+n = 103; 0.05n +0.25q = 8.75
solution: q=18; n=85
Step-by-step explanation:
Write one equation for the number of coins:
q+n=103.
Write another equation for the value of the coins:
0.05n +0.25q = 8.75.
It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.
0.05(103 -q) +0.25q = 8.75
5.15 +0.20q = 8.75
0.20q = 3.60
q = 18
n = 103 -18
n = 85
Wes has 18 quarters and 85 nickels.
Round 62394 to the nearest
Answers
Answer:
63000 or 62400. Didn't specify whether to the thousandth or hundredth
What is the mean age of dogs at the dog park?
Answers
Answer:
well first how about you give the anwsers
STEP BY STEP EXPLANATION