Answer:
12
Step-by-step explanation:
It is the Least Common Denominator of all the fractions, therefore eliminating all the fractions.
4 − (x + 2) < −3(x + 4)
Answer:
x<-7
Step-by-step explanation:
4 − (x + 2) < −3(x + 4)
4 − x - 2< −3x - 12
14 < - 2x
x<-7
Answer and Step-by-step explanation:
First, we need to solve both sides of the equation.
Distribute the negative to the x and the 2.
4 - x - 2 < -3(x + 4)
Distribute the -3 to the x and the 4.
4 - x - 2 < -3x - 12
Combine like terms.
2 - x < -3x - 12
Add 12 to both sides of the equation.
12 + 2 - x < -3x - 12 + 12
14 - x < -3x
Add x to both sides of the equation.
14 - x + x < -3x + x
14 < -2x
*Divide both sides of the equation by -2, and flip the sign.
-7 > x
-7 > x is the answer.
*How this works:
When we flip the sign, we really are just saving ourselves an extra step when dividing numbers (that are negative, only works when number is negative).
14 < -2x
If we were to add to x, and subtract 14, it will look like this:
2x < -14
Then when we divide by 2, we get:
x < -7
This is the same result, but it takes an extra step. Use this way if you forget why you need to flip the sign when dividing by a negative number.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Select all ratios equivalent to 3:4.
Answer:
12:16 and 6:8
Step-by-step explanation:
12:16 = 3 * 4:4 * 4
6:8 = 3 * 2:4 * 2
The answer is 12:16
If helpful, Branliest please!
3(x-5)+1=2+x Please put the work!!!!!!!!!!!!!!
Answer:
3(x-5)+1=2+x
3x-15+1=2+x
3x-x=2+15-1
2x=16
x=8
Answer:
x=8
Step-by-step explanation:
3(x-5)+1=2+x
Subtract 1 from both sides.
3(x-5)=1+x
Distribute the 3
3x-15=1+x
Add 15 to both sides.
3x=16+x
Subtract x from both sides.
2x=16
Divide both sides by 2.
x=8
I hope this helps!
pls ❤ and mark brainliest pls!
help please
use a, b, c, or d, also it's a multiple choice question
Answer:
a and c i think
Step-by-step explanation:
Use complete sentences to describe why √-1 ≠ -√1
Well let's say that to compare these two numbers, we have to start with the definition first.
Definition
[tex] \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }[/tex]
Looks like we can use any x-values right? Nope.
The value of x only applies to any positive real numbers for one reason.
As we know, any numbers time itself will result in positive. No matter the negative or positive.
Definition II
[tex] \displaystyle \large{ {a}^{2} = a \times a = |b| }[/tex]
Where b is the result from a×a. Let's see an example.
Examples
[tex] \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}[/tex]
So basically, their counterpart or opposite still gives same value.
Then you may have a question, where does √-1 come from?
It comes from this equation:
[tex] \displaystyle \large{ {y}^{2} = - 1}[/tex]
When we solve the quadratic equation in this like form, we square both sides to get rid of the square.
[tex] \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }[/tex]
Then where does plus-minus come from? It comes from one of Absolute Value propety.
Absolute Value Property I
[tex] \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }[/tex]
Solving absolute value always gives the plus-minus. Therefore...
[tex] \displaystyle \large{ y = \pm \sqrt{ - 1} }[/tex]
Then we have the square root of -1 in negative and positive. But something is not right.
As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.
Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.
Then we have another number which is -√1. This one is simple.
It is one of the solution from the equation y^2 = 1.
[tex] \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }[/tex]
We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.
Conclusion
So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.
Answer:
Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]
Step-by-step explanation:
[tex]\sqrt{-1} \\[/tex] cannot be calculated as no two identical numbers that are multiplid could give -1. However - [tex]\sqrt{1}[/tex] means -1 x [tex]\sqrt{1}[/tex] = -1 x 1 = -1 . Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]
400 written as a product of its prime factors is 2 x 2 x 2 x 2 x 5 x 5.
Write 800 as a product of its prime factors.
Answer: 2 x 2 x 2 x 2 x 2 x 5 x 5
Explanation:
We start with the string 2 x 2 x 2 x 2 x 5 x 5
Then we tack on a "2 x" up front, or at the very left, so that we double the result. This is because the jump from 400 to 800 is "times 2".
So we go from 2 x 2 x 2 x 2 x 5 x 5 to 2 x 2 x 2 x 2 x 2 x 5 x 5
We can condense this into [tex]2^5*5^2[/tex]
how do you rewrite 2^-2
Answer:
[tex]2 ^{ - 2} \\ \frac{1}{2 ^{2} } \\ ( \frac{1}{2} ) ^{2} [/tex]
I hope it helped U
stay safe stay happy
Answer:
1/2^2
Step-by-step explanation:
When you have a number to a negative power, you can rewrite it inverting it's fraction and changing the signal of the power. 2 can be wrote as a fraction like 2/1, so you have 2^-2, it's like 2^-2/1, so you invert the fraction and the signal of the power, and have 1/2^2
Lenny bought a motorcycle for 30% off the original price. If the original price was $11,500 how much did he pay for the motorcycle on sale?
Function Machines
*please show steps if you can*
Answer:
a. y=(-9)^2+3=81+3=84
y=square root of -9-2=3i-2
b. He cannot with the first but he can with with second. For the first, we have 0=x^2+3. Then subtract 4 from each side and get -3=x^2. This isn't possible in a theoretical term. For the second, you have 0=square root of x -2 or 2=square root of x. That means x is 4.
On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.15
per minute. The 40 to Go Plan costs $40 per month plus $0.05 per minute.
a) Write an expression that represents the monthly bill for x minutes on the EZ Pay Plan.
b) Write an expression that represents the monthly bill for x minutes on the 40 to Go Plan.
c) Write an equation to represent the point at which the monthly bills for the two plans are equal.
d) Solve the equation, showing each step.
e) Interpret the solution of the equation within the context of the problem.
Answer:
a. 0.15x
b. 40+0.05x
c. 0.15x=40+0.05x
15x=4000+5x
x=400 min
PLEASSEEE HELPPPPPPPPP I WILL GIVE BRAINLIEST
Answer:
The answer's below :)
Hope this helps <3
Subtract -1 3/5 ( -2 5/8 ) enter your answer as a simplest fraction by filling in the boxes
Answer:
21/5
Step-by-step explanation:
Answer:
1 [tex]\frac{1}{40\\}[/tex]
Step-by-step explanation:
i hope this helps :0
In which expression should the exponents be multiplied?
2 to the 9th over 2 to the 7th
(610)−7
one half to the 3rd times one half to the 5th
52 ⋅ 54
i think that is is the second
help me please
6(9 + 5x) = 54 +
Hi
to progress in math, you must : know by heart the rules and formulas then train.
rule : a ( b+c ) = a*b + a*c.
this propertie is call distributivity .
so we have : 6 ( 9+5X)
here : a = 6
b = 9
c = 5X
so 6 ( 9+5X) = ?
I let you have a shot. Ask in comments section if you are stuck. But try first !
Answer:
1) rearrange terms:
6(9 + 5x) = 54
6(5x + 9) = 54
2) Distribution :
6(5x + 9) = 54
30x + 54= 54
3) subtract 54 from both side:
30x + 54 = 54
30x + 54 - 54 = 54 - 54
4) Simplify: subtract the numbers
30x = 0
5) Divide both side of the equation by the same term:
30x = 0
30x√30 = 0√30
6) Simplify: cancel term that are in the both numerator and denominator
x = O√30
solution :
x = 0]
Find the number that makes the ratio equivalent to 1:5.
6:
Answer:
box = 30
Step-by-step explanation:
You could set this up very formally as a proportion. It would look like this.
1/5 = 6/x
Now all you have to do is cross multiiply.
1*x = 5 * 6
x = 30
So the answer that goes in the box is 30
Or you could just say to yourself. "The 1 was multiplied by 6. What do I have to multiply the 5 by to keep the ratio the same?"
The answer is 6
6 * 5 = 30
In higher math you are going to want to use the first method.
A customer can drive around a track 60 times for $12. At this rate, how many times can the customer drive around the track for $8?
Answer:36 times for 8 dollars
Step-by-step explanation:
k so first you divide 54 and 12 =4.5 per dollar so you then multiply 4.5 and 8 to get the answer that =36 times for 8 dollars
I WILL MARK BRAINLIEST! Solve The Following Questions
Answer:
brainliest is appreciated
For each set of measurements, decide whether or not it is possible to draw a triangle with those measurements. If it is possible, draw the triangle.
a. Side lengths 2 cm, 3 cm, and 4 cm
b. Side lengths 2 cm, 3 cm, and 6 cm
c. Angles 90 degrees, 45 degrees, and 45 degrees
d. Angles 90 degrees , 60 degrees, and 60 degrees
Answer:
only A & C possible
Step-by-step explanation:
the sum total of the two smallest sides should be bigger than the third.
the sum total of the three interior angles should be 180 degree
Find the number that makes the ratio equivalent to 6:10.
60:
Answer:
60;100
Step-by-step explanation:
Multiply 10 each side
HELP ME PLEASE im gonna fail lol
Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event?
A. This is an independent event because he is replacing the coin before drawing the next one.
B. This is a dependent event because he has different amounts of coins in his pocket.
C. This is an independent event because he could select a quarter and then a penny.
D. This is a dependent event because he could select a quarter and then a penny.
Answer:
it might be C
Step-by-step explanation:
I'm just guessing
Shannon is asked to draw a quadrilateral with the following specifications.
two opposite angles measure 51°
adjacent angles are supplementary
a side length of eight inches
Which of the following statements about this quadrilateral is true?
A. Exactly one quadrilateral exists with the given conditions, and it must be a parallelogram.
B. More than one quadrilateral exists with the given conditions, and all instances must be parallelograms.
C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.
D. More than one quadrilateral exists with the given conditions, and all instances must be rhombuses.
Answer:
C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.
Step-by-step explanation:
Rectangular
Has 4 sides that are the same length
Has 4 angles of 90 degrees
Has 4 axes of rotation and folding symmetry
꧁༺62ᴅᴏᴄ༻꧂
if needed i will show the other answers
Answer:
It will take 518 calorie smoothy that she had for breakfast in the morning.
Please help me! I need part A and part B. Please help me! PLEASE!!
Answer:
JUST TO START I COMMENT ON THIS SORRY
Step-by-step explanation:
4366+766
5251551=8654
The diameter of a circle is 0.82 inches. What is the approximate area of the circle?
Diameter = 2 x radius
Area of circle formula: πr²
0.82/2 gives us the radius.
The radius is 0.41 so let's square that.
0.41²= 0.1681
Your answer is 0.1681π OR approximately 0.527834*
(*since 0.1681 times 3.14 is approximately 0.527834)
Answer:
0.527834
Step-by-step explanation:
Diameter = 2 x radius
Area of circle formula: πr²
0.82/2 gives us the radius.
The radius is 0.41 so let's square that.
0.41²= 0.1681
0.527834
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
How do the sample statistics compare to the population mean and standard deviation?
Answer:
6.25
Step-by-step explanation:
250/40=6.25
Identify the graph of the following equation.
y ≥ −1
Answer:
It's the 5th graph
Step-by-step explanation:
if it's 7:20 PM what time would it be if 90 minutes passed? HELP!!!
Answer:
The answer is 8:50 PM.
Step-by-step explanation:
If it's 7:20 PM, then what time is it 90 minutes from now?
Start with 30. It would be 7:50 PM. So, add 10 more minutes (with 50 minutes more to add) and you have 8:00 PM. Add your last 50 minutes. The time would be, as shown above, 8:50 PM.
Volunteers at Sam's school use some of the student council's savings for a special project. They buy 8 backpacks for $8 each and fill each backpack with paper and pens that cost $3. By how much did the student council's savings change because of this project?
The savings was changed by
dollars.
Answer:
The savings were changed by $88
Step-by-step explanation:
1 backpack costs 8 dollars and they bought 8 of them, you have to multiply 8 dollars by 8 cause there is 8 backpacks which is 64 , pen and pencils for 1 backpack costs 3 dollars , so you have to multiply 3 by 8 cause there are 8 backpacks which is 24. then you add 64 and 24 which is 88
Sam made a password that consists of one letter followed by two digits. The two digits are different. How many possible passwords did Sam choose from?
90, 720, 2,340, or 260?
Answer:
720
Step-by-step explanation:
