Answer:
Find my Answer attached.
Step-by-step explanation:
9514 1404 393
Answer:
x > 5/3
Step-by-step explanation:
In general, inequalities are solved the same way that equations are: undo what is done to the variable. (Whatever you do to one side of the inequality, you must also do to the other side.)
If you were to evaluate this inequality for some value of x, you would ...
multiply by 3subtract 5When solving for x, you undo these operations in reverse order. You undo the "subtract 5" by doing "add 5" to both sides of the inequality:
3x -5 +5 > 0 +5
3x > 5
You undo the "multiply by 3" by doing "divide by 3" to both sides of the inequality:
(3x)/3 > 5/3
x > 5/3 . . . . . . . the solution
__
Additional comment
The only difference between solving an equation and solving an inequality is that multiplication or division by a negative number reverses the comparison symbol.
Consider -1 > -2. When this is multiplied by -1, it becomes 1 < 2, with the comparison reversed.
__
As you can see, as long as multiplication and division are with positive numbers, the actual comparison symbol doesn't matter:
3x -5 > 0 ⇒ x > 5/3
3x -5 = 0 ⇒ x = 5/3
3x -5 < 0 ⇒ x < 5/3
The sum of ages of 3 siblings, Alice, Bruce and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22. Find each sibling's age by using system of linear equations.
Answer:
Alice = 5
Bruce = 9
Chuck = 13
Step-by-step explanation:
alice= x
Bruce = y
Chuck = z
x+y+z= 27
x+y= 14
therefore z= 27-14= 13
Chuck = 13
y+13 (z) = 22
therefore y = 22-13= 9
Bruce = 9
9+13= 22
therefore x= 27 - 22= 5
Alice = 5
confirmation
5 + 9 + 13 = 27
5+9= 14
9 + 13 = 22
Each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.
Given that,
The sum of ages of 3 siblings, Alice, Bruce, and Chuck is 27. The sum of ages of Alice and Bruce is 14 and the sum of ages of Bruce and Chuck is 22.Here we assume Alice be x, Bruce be y, and Chuck be z.Based on the above information, the calculation is as follows:
x + y + z = 27
x + y = 14
So,
z = 27 - 14
= 13
i.e. Chuck = 13
Now
y + 13 (z) = 22
So,
y = 22 - 13
= 9
i.e. Bruce = 9
Now
9+13= 22
So,
x = 27 - 22
= 5
i.e. Alice = 5
Therefore we can conclude that each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.
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Help me please I really need it!
The rate of change is 3/4.
The rise is 3 and the run is 4.
Slope, or rate of change, is rise/run.
So, you get 3/4.
Answer: The answer would be 3/4!
Step-by-step explanation:
It takes Peter 25 minutes to clean his room. If he finishes cleaning his room at 8:00 P.M., what time did he start cleaning?
Answer:
7:35 P.M.
Step-by-step explanation:
Answer:
7:35 PM
Step-by-step explanation:
8:00-25 minutes
i need help with algebra 2 pleasee
Answer:
[tex]x=\pm \sqrt{21}/7[/tex]
Step-by-step explanation:
We can add 9 to both sides of the equation to get [tex]21x^2=9[/tex].
We can divide both sides of the equation by 21 to get [tex]x^2=9/21[/tex].
We take the square root of both sides of the equation to get [tex]x=\pm \sqrt{9/21}[/tex].
However, that isn't in the form we need.
We know that [tex]\sqrt{9/21}=\sqrt{9}/\sqrt{21}=3/\sqrt{21}=3\sqrt{21}/(\sqrt{21}*\sqrt{21})=3\sqrt{21}/21=\sqrt{21}/7[/tex]
so the answer is really [tex]x=\pm \sqrt{21}/7[/tex] and we're done!
Subtract 14 inches from 4 feet, 2 inches.
10 inches
03 feet
O 5 feet
34 inches
Answer:
should be 36 inches
Step-by-step explanation:
Please help me solve this problem
Answer:
(4x+2)*2+(6x)*2=84feet
8x+12x+2=84
20x+2=84
20x=82
x=4.1
18.4*24.6=452.64
ans:452.64
Please help this is due in literally 8 minutes HELP PLEASE!!!
Answer:
There is no question given so how is there an answer?
Step-by-step explanation:
what is The expression 12+9g-30h factored using the GCF is and btw I already tryed 3
Hello!
Answer:
3(4+3g-10h)
Step-by-step explanation:
Hope this helps!
The GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)
what is GCF?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common.
For example, 12, 20, and 24 have two common factors: 2 and 4.
The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
12+9g-30h
Now, to find the GCF we have to factorize the numbers
12= 2 x 2 x3
9 = 3 x 3
30= 2x 3 x 5
So, the Greatest common factor is 3.
Thus, the GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)
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Plz help
input the correct Anwser as OS For One Solution, NS for no solution and INF for infinite
Answer:o
Step-by-step explanation:o
Answer:
1) INF
2) NS
Because:
1 is INF because both sides of the equation are the same
x can be replaced with any number therefor, there are infinite solutions.
2 is NS because you are left with 12=2 so there would not be a solution.
Round each number to the nearest thousand.
1,239 and 8,568
1,000 and 9,000
1,000 and 8,000
2,000 and 8,000
2.000 and 9.000
Multiply and express in the form of a complex number a + b i.
(-5 + 3i)(- 4 + 8i)
Answer:
-4 - 52 i
Step-by-step explanation:
Hope this helps :)
cqn your please help this is a graded work
Convert the rational number below to a decimal. Round to the nearest hundredth when necessary.
1/2
Answer:
0.5
Step-by-step explanation:
1 divided by 2
= 0.5
Answer:
0.5
Step-by-step explanation:
mandle is making 15 cups of fruit salad . what ration of grapes to blueberries should she use?
Answer:
12:3
Step-by-step explanation:
The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.
The function represented by the table is
y = 0.25x
Then, as Mandie is making 15 glasses of fruit salad, we have:
y + x = 15
We have two equations and two unknowns that we must solve.
y = 0.25x
y + x = 15
Resolving
For x:
0.25x + x = 15
1.25x = 15
x = 15 / 1.25 = 12
For y:
y = 0.25x = 0.25 (12) = 3
Answer
The ratio of grapes to blueberries she should use is 12: 3
( not my answer )
Solve the equation. 2/3 -4c+7/2 = -9x+5/6
Answer:
The value of X is -2/3
Step-by-step explanation:
edge2021
If the student has already read 2525 of the pages, how long will it take them to read the rest of the book? _____ minutes Your answer should be written as a decimal rounded to the nearest tenth if necessary.
The number of pages the student can read in a minute is an illustration of rates.
The time left to complete the whole book is 90 minutes
From the complete question, the student's rate is:
[tex]\mathbf{Rate = 50\ pages/hr}[/tex]
The number of pages is:
[tex]\mathbf{Total = 100\ pages}[/tex]
First, we calculate the time to read the whole book
[tex]\mathbf{Total\ Time = \frac{Total\ pages}{Rate}}[/tex]
[tex]\mathbf{Total\ Time = \frac{100\ pages}{50\ pages/ hr}}[/tex]
[tex]\mathbf{Total\ Time = 2\ hours}[/tex]
The number of the student has read is:
[tex]\mathbf{Pages = 25}[/tex]
Next, we calculate the time spent on the 25 pages
[tex]\mathbf{Time\ Spent = \frac{Pages}{Rate}}[/tex]
[tex]\mathbf{Time\ Spent = \frac{25\ pages}{50\ pages/hr}}[/tex]
[tex]\mathbf{Time\ Spent = 0.5\ hr}[/tex]
Convert to minutes
[tex]\mathbf{Time\ Spent = 30\ minutes}[/tex]
So, the time left is:
[tex]\mathbf{Time\ Left = Total\ Time - Time\ Spent}[/tex]
This gives
[tex]\mathbf{Time\ Left = 2\ hours- 30\ minutes}[/tex]
[tex]\mathbf{Time\ Left = 1\ hour, 30\ minutes}[/tex]
Convert to minutes
[tex]\mathbf{Time\ Left = 90\ minutes}[/tex]
Hence, the time left is 90 minutes
Read more about rates at:
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Somebody explain!!!!!!!!!!!
Answer:
$190
Step-by-step explanation:
Let's call the original price of the jacket "x".
If the new cost of the jacket is $87, we can represent this as x/2-8=87. By solving for x, we see that the original price of the jacket is $190
Answer:
I think the answer would be 182
Step-by-step explanation:
87x2= 174
174+8= 182
-
If
f(x) = x - 5
and
g(x) = 4x – 2
-
Find
f(g(x)) = 4x – [?]
-
Answer:
4x - 7
Step-by-step explanation:
To evaluate f(g(x)) substitute x = g(x) into f(x)
f(g(x)
= f(4x - 2)
= 4x - 2 - 5
= 4x - 7
what is 4-1/4 help please
Answer:
It lets me add one now! The answer is 3.75
Step-by-step explanation:
1/4 of a unit is 25%
When converted to a decimal, 25% = .25
4 - .25 = 3.75
We can check this by using reversive property:
4 - .25 = 3.75
3.75 + .25 = 4
I don’t understand this
Answer:
it looks like it is 135 degrees
Step-by-step explanation:
Tell me if I am wrong sorry if I am also mark me brainliest if I am right
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 2oin, and a length of 19in?
Answer:
Rectangular Prism: V = lwh · Surface Area of Rectangular Prism: S = 2(lw + lh + wh) · Space Diagonal of Rectangular ...
what is 8f to the 4th power/2f to the third power in parentheses squared
PLEASE HELP WITH THIS ONE QUESTION
In a square kilometer of corn fields, there are about 100,000 plants. About how many plants will Mr. Jimenez have to trample to create the center of the maze?
Answer:
1767
Step-by-step explanation:
The value of y varies directly with x. If x = 3, then y = 18. What is the value
of x when y = 84
The value of x when y = 84 is 14
From the question,
The value of y varies directly with x
That is,
y ∝ x
Introducing the constant of proportionality, k
We get,
y = kx
Also, from the question
If x = 3, then y = 18
Putting these values into the equation, we can determine the value of k
[tex]y = kx[/tex]
[tex]18 = k \times 3[/tex]
Now, divide both sides by 3
[tex]\frac{18}{3}=\frac{k \times 3}{3}[/tex]
[tex]6 = k[/tex]
∴ k = 6
Now, to determine the value of x when y = 84
We will put y = 84 and the value of k =6 into the equation
[tex]y = kx[/tex]
[tex]84 = 6 x[/tex]
Divide both sides by 6
[tex]\frac{84}{6} = \frac{6x}{6}[/tex]
[tex]14 = x[/tex]
∴ [tex]x = 14[/tex]
Hence, the value of x when y = 84 is 14
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Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
COIN
312
= -12
n=
Answer:
what i dont understand how does 312=-12
Step-by-step explanation:
What is the value of 2(-8) (- 5) + 12
32/80 as a percentage
Answer:
40%
Step-by-step explanation:
multiply the fraction by a hundred and the answer will have units of percent.
Leila puts an integer into the "In" box of each machine.
She finds that the answer that appears in the "Out" box of Machine A is the same as the
answer that appears in the "Out" box of Machine B.
What was the answer produced by both machines?
Show how you figured it out
The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:
[tex]\mathbf{y = 2(5x + 3) - 24}[/tex]
The equation represented on machine B is:
[tex]\mathbf{y = 4(2(x + 11) - 7)}[/tex]
Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:
[tex]\mathbf{y = y}[/tex]
So, we have:
[tex]\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}[/tex]
Open brackets
[tex]\mathbf{10x + 6 - 24 = 8x + 88 - 28}[/tex]
[tex]\mathbf{10x - 18 = 8x + 60}[/tex]
Collect like terms
[tex]\mathbf{10x - 8x = 18 + 60}[/tex]
[tex]\mathbf{2x = 78 }[/tex]
Divide both sides by 2
[tex]\mathbf{x = 39 }[/tex]
Substitute 39 for x in [tex]\mathbf{y = 2(5x + 3) - 24}[/tex]
[tex]\mathbf{y = 2 \times (5 \times 39 + 3) - 24}[/tex]
[tex]\mathbf{y = 372}[/tex]
Hence, the output produced by both machines is 372
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Order these numbers least to greatest 0.7,1.4,3.9,2.2,1.8
Answer:
0.7, 1.4, 1.8, 2.2, 3.9
Step-by-step explanation:
basic math lol, hope you do well!
Answer:
LEAST TO GREATEST
0.7,1.4,1.8,2.2,3.9
Step-by-step explanation:
0.7= 0.70
1.4
1.8= (1.8-1.4=.4) 1.8 is bigger keep doing this until finally done.
working with bigger numbers in the first place (before the decimal) then find if the number is bigger than that.
What is this expression in simplest form?
x²+x-2/x³-x²+2x-2
Answer:
Simplified to lowest possible would be [tex]\frac{x +2}{x^{2} + 2}[/tex]
Step-by-step explanation: