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Here I solve in detail two of the questions and explain the solution. With this explanation you should be able to understatnd how to answer all the questions.
13) a - 6 ≤ 15 + 8a
=> a - a - 6 - 15 ≤ 15 - 15 + 8a - a
-21 ≤ 7a
7a ≥ - 21
a ≥ - 21/7
a ≥ - 3
So, the solutions are all the number on the real line equal or greater than - 3.
14) 13 + 2v - 8 + 6 > - 7 - v
=> 13 - 13 + 2v + v - 8 + 8 + 6 - 6 > - 7 - 13 + 8 - 6 - v + v
=> 3v > - 18
=> 3v > -18 / 3
=> v > - 6
Therefore, the solutions on the real line are all the real numbers greater than - 6.
Related Questions
give a counterexample to disprove the statement "all squares are congruent"
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Consider the following statement: If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's and Fred's. Write the Given statement:
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I just saw that my answer to this was removed because brainly is removing some content to make room for more learning.
Since my answer seemed to help a lot of people, i'm reposting it!
Here's my answer: Paul is the oldest, then bill, and Fred is the youngest.
Wendy mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Wendy mix with each part of water?
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Answer:
2.5
Step-by-step explanation:
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last week Chen bought 8 1/2 gallons of gas at 2.30 per gallon. This week he bought 4 3/10 gallons of gas at 2.70 per gallon
What is his total cost
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Is Time in the 100 meter dash a qualitative or quantitative
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A computer password is to consist of 6 letters, none of which are used more than once. For security reasons, the letters Q and Z are not to be used in the first position. How many different passwords are possible?
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The total number of possible 6-letter computer passwords, without repetition and with restrictions on the first letter, is 7,893,600.
Explanation:The question involves finding out the number of possible combinations for a 6-letter computer password where no letter is repeated and the letters 'Q' and 'Z' are not allowed in the first position.
For the first letter, we have 24 options (26 letters in the alphabet minus the two restricted letters, 'Q' and 'Z'). For the second letter, since the first letter has already been chosen and cannot be repeated, there are 25 options left. This pattern continues, reducing by one each time, leaving 24 options for the third, 23 for the fourth, 22 for the fifth, and 21 options for the sixth letter. The total number of possible passwords is calculated by multiplying all options together; hence, the answer will be 24 * 25 * 24 * 23 * 22 * 21.
The calculation yields a result of 7,893,600 possible passwords.
To find the number of different passwords possible, multiply the number of choices for each position: 24 * 25 * 24 * 23 * 22 * 21 = 39,825,600.
Explanation:To find the number of different passwords that are possible, we can break down the problem into steps:
First position: Since Q and Z cannot be used in the first position, there are 24 possible letters that can be used.Second position: Once the first position is determined, there are 25 letters remaining to be used in the second position (since Q and Z can now be used).Third position: There are 24 letters remaining to be used in the third position, since one letter has already been used in the first position.Fourth position: There are 23 letters remaining to be used in the fourth position.Fifth position: There are 22 letters remaining to be used in the fifth position.Sixth position: There are 21 letters remaining to be used in the sixth position.To find the total number of possible passwords, we multiply together the number of choices for each position: 24 * 25 * 24 * 23 * 22 * 21 = 39,825,600. Therefore, there are 39,825,600 different passwords that are possible.
Your grade point average is 3.48. How can you write your grade point average as a fraction?
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Aaron is a high school graduate working as a retail clerk. He earns a median salary for a high school graduate. Aaron is thinking about going to college to get an associate's degree. If he completes his degree in 2 years and college costs total $30,000, how long will it take Aaron to recover his investment, assuming that he earns the median salary and continues to work full time while he is attending school?
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Answer:
A 2.5 years
Step-by-step explanation:
What is the name for the point where three altitude lines meet?
1) Incenter
2) Circumcenter
3) Concurrence
4) Centroid
5) Orthocenter
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Which of the following is and integer but not a whole number?
A. -9.6
B. -4
C. 0
D. 3.7
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Is the comparison true 787<769
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When the opening of the sign is facing a number it means the number is larger. However, 769 is not larger.
The cooking time for a piece of meat is proportional to the weight of the meat. What is the value of the constant for this relationship
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The constant for relationship is 20.
What is ratio and proportions?When comparing two quantities of the same kind, ratio is utilized. For two numbers, a and b, the ratio formula is written as a: b or a/b. Two or more ratios are said to be in proportion if they are all equal. Fractions are the foundation of the concepts of ratio and proportion. The fundamental building blocks of numerous other mathematical notions are ratio and proportion.
Given The cooking time for a piece of meat is proportional to the weight of the meat.
given Weight (lb) 1.5 2.5 3.5
time (min) 30 50 70
Acc. to question time/weight = constant
= 30/1.5 = 50/2.5 = 70/3.5 = 20
Hence the constant is 20.
Learn more about ratio and proportions;
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The complete question is
The cooking time for a piece of meat is proportional to the weight of the meat.
Weight (lb) 1.5 2.5 3.5
time (min) 30 50 70
What is the value of the constant for this relationship.
Find the product. (3p 4)3 · (p 2)7
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The product of the expressions (3p⁴)³ * (p²)⁷ is 27p²⁶
How to evaluate the product of the expressions
From the question, we have the following parameters that can be used in our computation:
(3p⁴)³ * (p²)⁷
Expanding the brackets, we have
(27p¹²) * (p¹⁴)
Remove the brackets
So, we have
27p¹² * p¹⁴
Evaluate using the law of indices
27p²⁶
Hence, the product of the expressions is 27p²⁶
Question
Find the product
(3p⁴)³ * (p²)⁷
There is an average of 3.5×10−2 kilograms of dissolved salt in each liter of seawater.
The Indian Ocean contains approximately 2.64×1020 liters of seawater.
About how many kilograms of dissolved salt are in the Indian Ocean?
Enter your answer, in scientific notation, in the boxes.
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3. There are 7 gray kittens. 2 kittens are black. How many less black kittens are there than gray kittens?
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Hope this helps! Let me know if you need any further assistance!
using what you know about percents,explain why a commercial that says"80% of dentists use this toothpaste"might be misleading?
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write 4120000 in scientific notation
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Explanation: In scientific notation, you have to put the number in the format
# (number has to be at least 1 and less than 10) * 10 to the power of the number of places it took to make the number 1 and greater to 10.
The scientific notation of 4120000 would be 4.12 x 10 to the power of/to 6.
Answer is : 4.12 x 10 to the power of/to 6.
Choose a non-integer between 0 and 1
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I hope this helps!
the porportion of red marbles to blue marbles jar is 2 to 5. If there are 35 blue the jar, how many red mables are there?
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Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother? 8 9 10 11
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Please help! Thanks! Show work!
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------------------------------------
------------------------------------
Explanation:
First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches
So, 6 ft = 72 inches
The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio
1/30 = x/72
where x is the height of the toy soldier in inches
Cross multiply and solve for x
1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4
So the toy should be 2.4 inches tall.
Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.
Dee has at most $150 to spend on restocking dolls and trains at her toy store. Dolls cost $7.50 and trains cost $5.00. Dee needs no more than 10 trains and she needs at least 8 dolls.
Write a system of inequalities (3) to describe this situation.
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train = t
8d + 10t = 150
I think is let that
which is the equation in standard form of the line that contains points C and D
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what is 5y-4=-3x in standard form
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The required standard form is 5y + 3x = 4 of the given linear equation.
What is the standard form of a linear equation?A linear equation in one variable indicates an equation with just one variable. This indicates that there is just one solution to this linear equation. The standard or generic form of linear equations in one variable is expressed as follows:
Ax + B = 0
In this equation, A and B are integers, and x is a variable.
Ax + By = C is the standard form for a line equation. In this situation, using the equation 5y-4=-3x B=5 and A=-3 and C=-4, we may add both -4 and -3x to both sides to get Ax and By on the same side, and we get 5y+3x=4.
Thus, the required standard form is 5y + 3x = 4 of the given linear equation.
Learn more about the Linear equations here:
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from 12 teachers to 48 teachers
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Which of the following is being constructed in the image?
A) a line perpendicular to a given lune through a point on the line
B) a line segment that is congruent to a given line segment
C) a perpendicular bisector of a line segment
D) a line parallel to a given line through a point not on the line
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Answer:
A) a line perpendicular to a given line through a point on the line.
Step-by-step explanation:
Perpendicular means at a 90 degree angle.
As we can see, the arcs are crossing on a dotted line that is going through a point, and is perpendicular to the line the point is on.
24.095 + 3.26 = ____ (5 points)
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your full answer is 27.35500, but we can get rid of the zeros on the end.
hope this helps!
Answer: The Answer is 27.355 i think
Step-by-step explanation:
Match the following scatterplots with the appropriate correlation from the list. Justify your answer. Note that not all of the correlations are used. The viewing window is the same in all four plots.
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Which type of weathering is caused by plants?
A.mechanical weathering
B. ice wedging
C. both mechanical and chemical weathering
D. chemical weathering
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I think it is chemical weathering because it is a live thing.
Each block in Ton's neighborhood is 2/3 mile long. If he walks 4 1/2 blocks,how far dose he walk?
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Ton walks a total of 3 miles when he covers 4 1/2 blocks in his neighborhood, where each block is 2/3 mile long.
If Ton walks 4 1/2 blocks and each block in his neighborhood is 2/3 mile long, we can calculate the total distance he walks by multiplying the number of blocks by the length of each block. To find the distance Ton walks, you perform the following calculation:
First, convert the mixed number 4 1/2 into an improper fraction: 4 1/2 = (4 imes 2 + 1) / 2 = 9/2.
Multiply the improper fraction representing the blocks walked (9/2 blocks) by the fraction that represents the length of each block (2/3 mile): (9/2)imes (2/3) = 9/2 imes 2/3.
Simplify the multiplication by canceling out common factors: 9/2 imes 2/3 = (9 imes 2) / (2 imes 3) = 9/3 = 3 miles.
Therefore, Ton walks a total distance of 3 miles.