Answer:
1 - 2n > 5. The solution set is (-∞, -2)
Step-by-step explanation:
We are dealing here with two problems:
First, to determine which mathematical statement represents "One less than twice a number is no less than five".Second, solve n, that is, the solution set for the numbers that solve the inequality.First Part: Identifying the inequality"One less than twice a number" can be written as [tex]\\1 - 2n[/tex], where n is the unknown number.
If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is " > " (greater).
As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:
[tex]\\1 - 2n > 5[/tex].
Second Part: Finding the solution setThe solution set for this inequality is as follows:
[tex]\\ 1-2n > 5[/tex] ⇒
Subtract -1 from each member of the inequality:
[tex]\\ 1-1-2n>5-1 [/tex] ⇒ [tex]\\ -2n>5-1[/tex] ⇒ [tex]\\ -2n>4 [/tex]
Multiply each member of the inequality by [tex]\\-\frac{1}{2}[/tex] (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:
[tex]\\ -\frac{1}{2}*(-2)*n< -\frac{1}{2}*4 [/tex]
[tex]\\ 1*n< -\frac{1}{2}*4 [/tex]
[tex]\\ n < -2 [/tex]
The solution set is then [tex]\\ n< -2 [/tex], which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:
Solution set for [tex]\\1 - 2n > 5[/tex] is [tex]\\ (-\infty, -2)[/tex].
simplify 6³. please help
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when the width y is 11 units
Sally did some counting look at her work explain why you think sally counted this way 177,178,179,180,190,200,220,211,212,213,214
Solve for q. 16−3q=10 Enter your answer in the box.
The distance between bills house and his aunts house is 485 miles about how many miles would bill drive if he made 4 round trips from his house to his aunts house
Answer:
3880 miles
Step-by-step explanation:
Distance between Bill's house and his Aunt house = 485 miles
Distance traveled in one round trip = two times the distance between the Bill's house and his Aunt house
Distance traveled in one round trip = 2 x 485 = 970 miles
So, the distance traveled in 4 round trip = 4 x 970 = 3880 miles.
Thus, the distance traveled by teh bill in 4 round trips is 3880 miles.
What is the value of 3x - 12y if x= - 2/9 And y= 4 1/6
Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7).
Answer:
[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]
Step-by-step explanation:
Given two points C(-2,4) and D(3, 7)
we have to find the value of x-coordinate for the point that splits segment CD in half.
By mid-point formula,
The coordinate of mid-point of line segment joining the points (a,b) and (c,d) are [tex](\frac{a+c}{2}, \frac{b+d}{2})[/tex]
Coordinates of mid-point joining the points C(-2,4) and D(3, 7)
[tex](\frac{-2+3}{2},\frac{4+7}{2})[/tex]
[tex](\frac{1}{2},\frac{11}{2})[/tex]
[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]
Put in order from greatest to least: 0.6, 71%, 5/6, 56%.
I am an odd number, I am less than 100, the sum of my digits is 12, I am a multiple of 15. What number am I
The number is 75, which satisfies all given conditions: it is an odd number, less than 100, a multiple of 15, and the sum of its digits is 12.
Explanation:To find an odd number that is a multiple of 15, less than 100, and has a sum of digits that equals 12, we must first consider that multiples of 15 end with a 5 or 0. Since the number is odd, it must end with a 5. Additionally, the number must be less than 100, so we are looking for a two-digit number.
We know the sum of the digits is 12, and since the last digit is 5, the first digit must be 7 to reach a sum of 12 (7+5=12). This means the number we are looking for is 75, which is indeed a multiple of 15, less than 100, has a sum of digits equal to 12, and is an odd number.
help! 65-32/8 (/=divided by)
Final answer:
The calculation 65 - 32/8 follows the order of operations, starting with division and then subtraction. Dividing 32 by 8 gives 4, and subtracting this from 65 gives a final answer of 61.
Explanation:
To solve the equation 65 - 32/8, you need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Firstly, you handle the division. You divide 32 by 8 to get 4.
Then, you subtract the result from 65. So, 65 minus 4 equals 61.
The answer to the calculation 65-32/8 (/=divided by) is 61.
What is 20/100 as a fraction
I need to look for an answer for 3,547x523 please I need to know the answer please I would be really happy if you give me an answer for this problem
9) Given an 8 foot length of tree trunk with a radius of 3 feet, what is the volume of the tree trunk section? (to the nearest whole ft3)
Nic bought 12 pens for 2$ each and 12 pads of paper for 3$ each. Write two expressions for how Nic could calculate his total. Write one expression in expanded form and one in factored form.
Find the prime number of 465 822 600 743
Find the equation of a line that is parallel to the line x= -14 and contains the point (-4,2)
The equation of the line that is parallel to x = -14 and passes through the point (-4, 2) is x = -4.
Explanation:The line x = -14 is a vertical line. Any other line parallel to it would also be a vertical line. The equation of a vertical line in the 2-dimensional coordinate space takes the form x = k, where k is a constant. To find the equation of a line that is parallel to x = -14 and passes through the point (-4, 2), we just need to substitute the x-coordinate of the point into the equation, resulting in x = -4.
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Using the number 691,794 make two three digit numbers that are very close to each other
|4- 3X|=10 please help me
At a discount furniture store, chris offered a salesperson $600 for a couch and a chair that offer includes the 8% sales tax if the salessperson accepts the offer what would would be the price of the furniture to the nearest dollar before tax
600/ 1.08 = 555.56
round to nearest dollar = $556 before tax
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if bananas are 0.59 per pound. what is the constant of proportionality
How do you Simplify this expression
-12 ÷ 3 x (-8 + (-8) - 6) + 2
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What is the simplified fraction form of -1/4 x (-6/11)
Write each fraction as a decimal. Then identify each decimal as terminating or repeating.
Reggie lost 4 spaceships in level 3 of a video game. He lost 30 points for each spaceship. When he completed level 3, he earned a bonus of 350 points. By how much did his score change?
Describe the solutions of 4 + n > −2 in words.
The value of n is a number less than −6.
The value of n is a number greater than or equal to −7.
The value of n is a number equal to −7.
The value of n is a number greater than −6.
The solution to the inequality 4 + n > -2 is n > -6. This means the value of n can be any number that is greater than -6.
Explanation:The inequality 4 + n > -2 can be solved to find the solution for 'n.' Start by subtracting 4 from each side of the inequality to isolate 'n.'
Here's the step-by-step calculation: 4 + n > -2 becomes n > -6 when we subtract 4 from both sides.
So, the value of n is any number that is greater than -6. In other words, n can be just a little bit more than -6, -6.01 for example, or it can be a much larger number, like 1, 100, or 1000, etc.
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on the highway Anita drove an average speed of 60.2 miles per hour at that speed about how far can she travel in three and a half hours at the same speed about how many hours will it take if needed to drive 400 miles
which expression is equivalent to the expression shown? exponent: 3 -3
a. -27 b.27 c. -1/27 d. 1/27
what is to 20 ≥ 4/5w
The inequality 20 ≥ (4/5)w represents a comparison between a number and a variable multiplied by a fraction. To solve it, you isolate the variable. The solution is w <=25.
Explanation:The inequality 20 ≥ (4/5)w represents a mathematical statement comparing a number, 20, with a variable, w, multiplied by a fraction, 4/5. The inequality sign, ≥, indicates that 20 is greater than or equal to the result of the multiplication. To solve this inequality, you need to isolate the variable on one side of the inequality sign.
To get rid of the fraction, multiply both sides of the inequality by the reciprocal of 4/5 which is 5/4. This gives you (5/4) * 20 ≥ (5/4) * (4/5)w which simplifies to 25 ≥ w.
Therefore, the solution to the inequality is w <=25.
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What is the sum of the integers between √22 and √78 ?