What is the justification for each step in solving the inequality? -5(4x+6<-18x+6+4x
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Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.
I hope I helped!
Related Questions
what is the square root of negative 2 times the square root of negative 18. Please show work.
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-ve number*-ve number =+ve number
by the same way -2*-18 = 36
so the [tex]\sqrt[-2*-18]=\sqrt[36][\tex]
which is 6
What’s 2(2x+10)=3(x+6)
Answers
Let's use the distributive property.
This means that you have to multiply the term in front of the parenthesis with every term inside the parenthesis.
After using the distributive property, you get
4x + 20 = 3x + 18
Now, subtract both sides by 3x
x + 20 = 18
Subtract both sides by 20
x = -2
That's your answer. Have an awesome day! :)
find the slope of the line through P(5,7) and Q( -1 + 7)
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slope = (7 - 7)/(5+1) = 0/6 = 0
slope = 0
Final answer:
The slope of the line through points P(5,7) and Q(-1,7) is calculated to be 0, indicating a horizontal line.
Explanation:
To find the slope of the line through points P(5,7) and Q(-1,7), we can use the formula for the slope of a line through two points: slope (m) = (y2 - y1) / (x2 - x1). In this case, the coordinates for P are (x1, y1) = (5, 7) and the coordinates for Q are (x2, y2) = (-1, 7).
Plugging these values into the slope formula, we get:
m = (7 - 7) / (-1 - 5)
m = 0 / (-6)
m = 0
So the slope of the line is 0, which means that the line is horizontal.
Please help me with math please, they are number lines.
Answers
x < 7 - 12
x < -5
so the answer is C. you have to be careful with these questions. when the inequality signs are < or > you have the line as a dotted dot and when the inequality signs are ≤ or ≥ you have the line as a solid dot.
hope this helps, God bless!
What is the conclusion of the following conditional?
A number is divisible by 2 if even.
A. The sum of the digits of the number is divisible by 2.
B. If a number is even, then the number is divisible by 2.
C. The number is even.
D. The number is divisible by 2.
Answers
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
"A number is divisible by 2 if even."
It means that if the number is even , then that number is always be divisible by 2.
So, the conclusion of the conditional is that
"If a number is even, then the number is divisible by 2."
Hence, Option 'B' is correct.
A piece of string is cut in half, so thata one half can be used to bundle newspapers for recycling. One thrid of the remaining string is cut off and used to tie a parcel. The leftover string is 2m. How long was the whole piece of string?
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math question down below
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In the afternoon, a television station reported the temperature as 3.7°F . That evening, they reported the temperature as −1.5°F .
Which expression represents the total temperature change from afternoon to evening?
A:
|−1.5+3.7|
B:3.7+(−1.5)
C:|3.7−(−1.5)|
D:−1.5+3.7
Answers
An expression is a way of writing a statement with a mathematical operation such as addition, subtraction, multiplication, and division.
If the temperature in the afternoon is 3.7°F and in the evening is -1.5°F
The expression that represents the temperature change from afternoon to evening is:
-1.5 - 3.7
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with a mathematical operation such as addition, subtraction, multiplication, and division.
Example: 2x + 3 - 8 is an expression.
We have,
The temperature in the afternoon = 3.7°F
The temperature in the evening = -1.5°F
The temperature change from afternoon to evening:
= -1.5 - 3.7
= -5.2°F
Thus,
If the temperature in the afternoon is 3.7°F and in the evening is -1.5°F
The expression that represents the temperature change from afternoon to evening is:
-1.5 - 3.7
Option D is the correct answer.
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Which set is the subset of every set
Answers
The set which is the subset of every set is:
Empty set or null set.
Step-by-step explanation:Set--
A set is a well defined collection of the distinct objects.
The number of objects in the set is the cardinality of the set.
The set whose cardinality is zero is known as the empty set or the null set.
i.e. it is the set which is having zero element i.e. no element.
Such a set is unique.
Also, the null set or the empty set is the subset of every set.
how do you solve 7+1/4r=-17
Answers
We're very simply trying to solve for "r."
So, we need to isolate "r."
To do this, start by subtracting 7 from both sides.
1/4r = -17 - 7
Simplify.
1/4r = -24
Now, multiply both sides by 4.
1/4r × 4 = -24 × 4
Simplify.
x = -96
~Hope I helped!~
Answer:
It helped thankyou very much
Step-by-step explanation:
I didn't even need it
what number is 8.2 of 50
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(3 pt)
Multiply.
Express the product in simplest form.
2/10 X 20
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It takes 52 minutes for 5 people to paint 5 walls. How many minutes does it take 20 people to paint 20 walls?
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1 people...............5 walls...........52*5=260 min
1 people................20 walls.........260*4 =1040 min
20 people................20 walls........1040:20=52 min
Answer:52 min
Step-by-step explanation:
Given
5 people paint 5 walls in 52 minutes
Now if 1 person paints the 5 walls then time required will be 5 times more
1 Person paint 5 walls in [tex]52\times 5[/tex]
For 20 walls person has to do 4 times the previous walls
1 person paints 20 walls in [tex]52\times 5\times 4[/tex]
For 20 People time required will be 20 times less
i.e.
[tex]\frac{52\times 5\times 4}{20}=52 mins[/tex]
A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
A)−3x+y=−7
B)−3x+5y=−13
C)−3x+5y=13
D)−3x+y=17
Answers
Good luck :)
Answer:
1. A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
−3x+y=−7
2. A line has slope −3/4 and y–intercept 5.
Which answer is the equation of the line?
y=−3/4x+5
3. There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day.
Which linear equation represents the total amount of quarters in the jar after x days?
y = 2x + 6
4. Which answer is an equation in point-slope form for the given point and slope?
Point: (1, 9); Slope: 5
y−9=5(x−1)
Step-by-step explanation:
If 12 gallons of gas costs $25.20, how much is the gas per gallon?
$1.98
$2.05
$2.10
$2.25
Answers
$25.20
----------- = $2.10 per gallon (answer)
12 gal
What is the value of 6x^3 +8x when x = 5
Answers
So 6(5)^3+8(5) = 6 (125) + 40 = 750 + 40 = 790.
So 790
5*5*5
*6
+8
So your answer if you're evaluating is 758
PLEASE HELP!
Which is greater -6.875 or -6.89...
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Frank needs to memorize words on a vocabulary list for Latin class. He has memorized
6
of the words, which is two-thirds of the list. How many words are on the list?
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Frank has memorized 6 words which is two-thirds of his vocabulary list, so by dividing 6 by 2/3, we find out that the total number of words on the list is 9.
Frank has memorized 6 words on his Latin vocabulary list, which is two-thirds of the total number of words. To find out the total number of words on the list, we can set up a proportion where 6 words corresponds to 2/3. Therefore, we need to find a number that, when multiplied by 3/2 or 1.5, gives us 6.
We can set up the equation like this: 2/3 * total words = 6 words. To find the total words, we divide 6 by 2/3:
total words = 6 ÷ (2/3)
total words = 6 * 3/2
total words = 9
So, the vocabulary list has a total of 9 words.
Adam says that the number 4 has four factors. Explain why this statement is incorrect.
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Answer:Sample response: The number 4 only has three factors: 1, 2, and 4. Adam probably counted the factor 2 twice.
Step-by-step explanation:BRAINLIEST AWARD!!!!!
The Watertown science contest allowed teams of 5 students compete. If 45 students entered the contest, how many teams competed? What type of problem is it?
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If a bookshelf is 28 1/8 inches long,how many 1 7/8 inch thick books will it hold?
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Answer: Bookshelf can hold 15 books.
Step-by-step explanation:
Given : The length of the book shelf = [tex]28\dfrac{1}{8}[/tex] inches
In improper fraction , [tex]28\dfrac{1}{8}=\dfrac{8(28)+1}{8}=\dfrac{225}{8}[/tex]
i.e. Length of the book shelf = [tex]\dfrac{225}{8}[/tex] inches
Similarly, Thickness of a book = [tex]1\dfrac{7}{8}=\dfrac{8(1)+7}{8}=\dfrac{15}{8}[/tex] inches
Now, the number of books the shelf can hold = Length of the bookshelf ÷Thickness of a book
[tex]=\dfrac{225}{8}\div\dfrac{15}{8}\\\\=\dfrac{225}{8}\times\dfrac{8}{15} \\\\=\dfrac{225}{15}=15[/tex]
Hence, the bookshelf can hold 15 books.
,if the swimmer is in a 100m race she swims the first half of the race and 32.34 seconds and the last half of the race and 34.83 seconds how long did it take her to swim the whole race?
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A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 parking spots for store employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?
15c − 4
c(15 − 4)
4c + 15
4(c + 15)
Answers
The expression for the maximum number of cars that can be parked in the parking lot is:
4c+15
Step-by-step explanation:As there are a total of 4 rows.
and If c cars can be parked in each of the 4 main rows of the parking lot then the total number of cars that are parked in all the rows are:
4c
Also, 15 parking spots are for store employees.
Hence, the maximum number of cars that can be parked is represented by the expression as:
4c+15
how do mental math strategies help you solve problems such as the ones above?
Answers
With mental math, you can perform equations quickly and efficiently. They also help you to develop your own strategies and solve more complex math equations. Hope this helps;)
Show one way to count from 82 to 512
Answers
find the next 3 terms of the following sequence 22 21 18 13 6
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The next 3 terms of the sequence 22, 21, 18, 13, 6 are 2, -3, and -8.
Explanation:The next 3 terms of the sequence 22, 21, 18, 13, and 6 can be found by analyzing the pattern in the sequence. The difference between each term is decreasing by 1 each time. So, the next difference would be 5 - 1 = 4. Subtracting 4 from 6 gives us 2. Therefore, the next term in the sequence is 2. Repeating this process, we can find the following terms: 2, -3, and -8.
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Combining like terms
simplify each expression
4n - n
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what is 4-1?
4n-1n=3n
Can I plz have brainliest?
Omar has 8 marbles.joy has 7marbles.how many marbles do they have together?
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Miss Connor asks her class to guess her mystery number she tells him this number has two digits is a prime less than 20 and a factor of 34 what is the number and the mystery number missed Connor has in mind
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Answer:
17
Step-by-step explanation:
You are to follow the clues. Since it is 2 digits and is prime, go through the prime numbers between 10 and 20. They are 11, 13, 17, and 19. Then you find the factors of 34 which are 1×34 2x17. That leaves only 1 possible answer: 17
Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units of distance and time must agree. Use the conversion information from the warm-up to write a rate in miles per minute.
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The distance travelled by an object at time t is given by: d = st
where d is the distance, s is the speed and t is the time.
Given that the cheetah travels a maximum of 70mph, the distance travelled by the cheetah travelling at 70mph at time t is given by d = 70t
There are 60 mins in one hour, so the distance given in miles per minutes is d = 70/60t = 1.167 miles per minutes.
Part B:
Given that t = 10 minutes, the distance covered by the cheetah in 10 minutes is d = 1.167 x 10 = 11.67 miles.
Part C:
If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the first 8 minutes is given by
d = 1.167 x 8 = 9.33 miles.
Part D:
If the cheetah sprinted at maximum speed for 8 minutes and then slowed to 40 mph for the next 8 minutes, then the number of minutes the cheetah have traveled in the second 8 minutes is given by
d = 40/60 x 8 = 5.33 miles
Part E:
The distance the cheetah traveled in the first 8 minutes more than in the second 8 minutes is given by
9.33 miles - 5.33 miles = 4 miles.
Part F:
The ratio of the distance travelled in the first 8 minutes to the distance travelled in the next minutes is given by
9.33 : 5.33 = 1.75 : 1.
Therefore, the distance traveled by the cheetah during the first 8 minutes is 1.75 times greater than the distance traveled during the second 8 minutes.