-17/2 < -1/2 - 4x ≤ 15/2
Please help helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answers
Given info: -17/2 < (-1/2) - 4x ≤ 15/2
Find the value of x ?
Explanation:↓
Given in-equation is -17/2 < (-1/2) - 4x ≤ 15/2
⇛ -17/2 < (-1-8x)/2 ≤ 15/2
On multiplying with 2 then
⇛ 2(-17/2) < 2(-1-8x)/2 ≤ 2(15/2)
⇛ -17 < -1-8x ≤ 15
On adding 1 in the in-equation then
⇛ -17+1 < -1-8x+1 ≤ 15+1
⇛ -16 < -8x ≤ 16
On dividing by 8 in the in-equation then
⇛ -16/8 < -8x/8 ≤ 16/8
⇛ -2 < -x ≤ 2
⇛ 2 > x ≥ - 2
⇛ -2 ≤ x < 2
⇛ x € [-2,2)
Answer:→The solution set = { x : -2 ≤ x < 2, x€R }
The possible values of x = -2,-1,0,1
If you have any doubt, then you can ask me in the comments.
Related Questions
Father came home from work and saw 3/4 of a pizza in the kitchen. He ate 1/3 of what was left of the pizza. What fraction of the original pizza was left?
Answers
Answer:
3/4 means 0.75 of apizza was in the kitchen and the father ate 1/3 of the 3/4 which means 0.75÷3=0.25 the question is what fraction of pizza that was left so 0.75-0.25= 0.5 or 1/2 of apizza is left.
A house has increased in value by 32% since it was purchased. If the current value is 561000 what was the value when it was purchased?
Answers
Answer:
$425000
Step-by-step explanation:
561000*100/132=425000
The ratio of trees to shrubs is 5:2. How many shrubs are there for 30 trees?
Answers
Answer:
30:12
Step-by-step explanation:
The beginning ratio is 5:2, trees to shrubs.
For every five trees, there are two shrubs.
So here is how we are going to solve the problem, since we are trying to figure out the amount of shrubs for 30 trees, we are going to divide 30 by 5 then once we've found out the quotient, we are going to multiply the quotient by two to get our amount of shrubs.
30 ÷ 5 = 6
6(2)=12
To conclude, for 30 trees there are 12 shrubs.
According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.
Answers
Answer:
0.08
Step-by-step explanation:
the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08
Need all of these answers please
Answers
1) x=32, ST=96, TO=96
2) x=7, DO=25, OG=35
3) m4) no fkn clue
topic: mid + dis
1)
a. 3, -2.5
b. 4, -7
2)
a. ≈7.211
b. ≈4.24
3)
a. 14, -8
b. -2, 11
4) CE=4
A rope is 225 centimeters long.
You need the rope to be 1.5 meters long.
How many centimeters should you cut off?
Answers
Answer:
1.5 meters = 150 centimeters (multiply by 100)
Therefore, you should cut off [tex]225-150=75[/tex] centimeters.
helpppp please!!!!!!!
Answers
Answer:
a
Step-by-step explanation:
a
PLS HELP HELPPPPPPP!!!!!!!!!
Answers
Answer:
[tex]18ft[/tex]
[tex] \frac{bm}{ba} = \frac{bn}{bc} \\ \frac{4}{8} = \frac{3}{6} \\ \frac{1}{2 } = \frac{1}{2} [/tex]
If Matilda answers 12 out of 15 problems correctly so far, how many will we answer correctly out of the next 25 if she continues at this rate?
Answers
Answer:
20 questions
Step-by-step explanation:
12/15 can be reduced to 4/5
you can create a ratio like the following:
4/5 = x/25
cross-multiply to get:
5x = 100
x = 20
Find the y intercept of the line -5x-2y=-14
Answers
Answer:
the y intercept is7
Step-by-step explanation:
at y-axis x=0, y=7
???????????????????? :((
Answers
Step-by-step explanation:
1. Not all rational numbers are whole numbers. Whole numbers can be rational numbers, if expressed in fraction form. For example, 1 can be expressed as [tex]\frac{1}{1}[/tex]. A set of rational numbers consists of a set of numbers written as a quotient of two integers, a and b, in the form [tex]\frac{a}{b}[/tex] , where b ≠ 0. The reason why b ≠ 0 because division by zero is an undefined mathematical operation.
2. Irrational numbers differ from rational numbers in terms of its representation: while the rational numbers can be expressed as a ratio or in fraction form, irrational numbers cannot be expressed in fraction form.
Irrational numbers are a set of numbers for which its decimal representations is neither terminating, nor repeating. A couple examples of irrational numbers are: π and [tex]\sqrt{2}[/tex], as their decimal representations do not come to an end and doesn't have a block of repeating digits.
3. All real numbers are rational numbers. Real numbers comprise of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
noah ran 2 1/2 miles in 3/5 hour
Answers
Answer:
4.1(6), 25/6, or 4 1/6 mph
Step-by-step explanation:
2.5/0.6=25/6
If Keegan has 15 nickels and quarters in his pocket, and they have a combined value of 195 cents, how
many of each coin does he have?
__quarters
__nickels
Answers
Answer:
7 Quarters and 4 Nickels
Step-by-step explanation:
basically, Since a Quarter is worth 25 cents and a Nickel is worth 5 cents, You can do 25x7=175 and 5x4=20 then add 175+20 and then you get 195.
Hope I could help! :)
Let 2m - 1 be a prime number. Prove that m is also a prime number
Answers
Answer:
False.
Step-by-step explanation:
This is false.
A Counterexample:
7 is prime.
2(4)-1 is 7.
4 is not prime.
Another Counterexample:
11 is prime.
2(6)-1 is 11.
6 is not prime.
Answer:
If m=2 (which is a prime number), then 4-1=3, 3 is a prime number.
Step-by-step explanation:
It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?
Answers
Answer:
false
Step-by-step explanation:
How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?
2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?
After watching some fish 55 feet below the surface of the water, a scuba diver went up 25 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface.︎︎︎︎︎︎︎ ︎︎︎︎
It might be A
I really dont know lol
Answers
Answer:
The answer is C.
Step-by-step explanation:
Consider 5 1/2 as 5.5 to make it less confusing. Now, subtract 8 from 5.5.
5.5 - 8
=> -2.5
Now, let's turn -2.5 back in fraction form.
=> -2 1/2
Therefore, C is the answer
An amount of $8,000 is invested at a simple interest rate
of 2%. What is the interest earned after 3 years?
Answers
Total amount after three years
= $8.360
Explanation:
Given -
Principal amount
p = $.8,000
Rate of interest
r = 1.5%
Duration
n = 3 years
Total amount after three years = Principal amount + Interest amount
Total amount after three years
= p + (pnr) = 8000 + (8000×1.5100×3) = 8000 + 360 = $8.360
Total amount after three years
= $8.360
Answer:
$8.360
Step-by-step explanation:
A calculator is selling for $80 with an 8.5% tax. How much will you pay in tax for the calculator?
Answers
Answer:
$86.80
Step-by-step explanation:
Question Number 12, i need help!! It’s geometry.
Answers
( x + 4) / 51 = (2x - 7) / 57
585 = 45x
585/45 = 45x/45
x = 13
Which equation has no solution?
A)
2x=5
B)
X + 12 = 3x - 2
C)
3x + 4 = 3x + 3
D)
- 2x + 5 = -2x + 5
Answers
If you subtract 3x from both sides of that equation, you'll go from
3x+4 = 3x+3
to
4 = 3
which is a false statement. No matter what you plug in for x, the original equation is always false as well. This is why it has no solutions.
Wind forms desert pavement through ___.
A. sublimation
B. random acts of kindness
C. deposition
D. erosion
Answers
Answer:
D. erosion
Step-by-step explanation:
The wind is a stronger erosional force in arid regions than it is in humid regions because winds are stronger. In humid areas, water and vegetation bind the soil so it is harder to pick up. In arid regions, small particles are selectively picked up and transported. As they are removed, the ground surface gets lower and rockier, causing deflation. What is left is desert pavement, a surface covered by gravel-sized particles that are not easily moved by wind.
Anthony is in a hot air ballon that has taken off and is floating above its launching point. Leroy is standing on the ground, 8 METERS away from the launching point. If Anthony and Leroy are 10 meters apart, how high up is Anthony?
Answers
50 points! don't answer if you don't know! Thank You
#1 Jeanne's bank account earns interest annually. The equation shows her starting balance of $200 and her balance at the end of five years, $267.65. At what rate r did Jeanne earn interest?
r= %
(Type an integer or decimal rounded to the nearest tenth as needed.)
#2 The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
(Round to the nearest tenth as needed.)
Answers
Answer:
1. 6%
2. what is the radius of 2
Step-by-step explanation:
Answer:
#1 = Rate = 0.025
#2 = m^2
Step-by-step explanation:
#1
1. starting balance = 200
balance at the end of 4 years = 220.82
2. 200.82 = 200(1+r)^4
220.82
________ = (1 + r)^4
200
1 + r = (1.1041)^1/4
1 + r = 1.025 - 1
r = 0.025
Rate = 0.025
#2
62.3m⋅m^3=62.3m^4
3.14=62.3m^4
m⋅m=m^2
Hope this helps, have a nice day/night! :D
If it did help please mark as brainliest!
3/2 x -1/9
-5/4 divided by 1 3/7
Show your work please
Answers
Answer:
3/2 x -1/9= -1/6
-5/4 divided by 1 3/7=-7/8
Step-by-step explanation:
what is 11.10 as a fraction?
Answers
Answer:
11 1/10
Step-by-step explanation:
11 is a whole nuber so then 1 over 10
Answer:
It is 11 1/10!
Step-by-step explanation:
I know this because the first thing to do here is to show you that any number can be a fraction if you use a 1 as the denominator. What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 10. To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea! In our case 10 is 2 digits long so we need to multiply the numerator and denominator by 100. Now we just need to do that multiplication to get our whole fraction! The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)Highest Common Factor (HCF)Greatest Common Denominator (GCD)In the case of 1110/10 and 100/10, the greatest common divisor is 10. This means that to simplify the fraction we can divide by the numerator and the denominator by 10 and we get 111/10. And there you have it! In just a few short steps we have figured out what 11.10 is as a fraction. 11 1/10!
I need word form and decimal
(I already shaded it in so that is all I need
Answers
The shading is correct for each of the three problems. Nice work.
==========================================
Problem 13
Word form = one tenth
Decimal form = 0.1
Explanation: The 1 is in the tenths place for the decimal value 0.1 to represent the fraction 1/10.
==========================================
Problem 14
Word form = eighty-five hundredths
Decimal form = 0.85
Explanation: The 8 is in the tenths place, and the 5 is in the hundredths place. Overall, 0.85 represents 85 out of 100, aka 85/100.
==========================================
Problem 15
Word form = thirty-nine thousandths
Decimal form = 0.039
Explanation: The second zero is in the tenths place. The 3 is in the hundredths place. The 9 is in the thousandths place. The decimal represents 39/1000 which you can think of it as 039/1000.
Eighty five hundredths, 0.85
Thirty nine thousandths, 0.039
Hope this helps!!!
i rlly need help ill give u brainliest
Answers
Answer:
1728 for A
7290000 for B
Step-by-step explanation:
Measure E is equal to?
Answers
Answer:
E =114
Step-by-step explanation:
The two base angles are equal to 33 since it is an isoscles triangle. We know that because the two sides are equal. That means D and F are equal to 33. The sum of the angles of a triangle are 180.
D+E+F = 180
33+E +33=180
66+E = 180
E = 180-66
E =114
Quadrilateral BCHS is a parallelogram with diagonal BH
intersecting diagonal CS at P.
angle BCH = 3x-3.86
angle CHS = 2x+6.58
Find the measure of angle HSB
Answers
Answer:
Step-by-step explanation:
HSB will equal BCH
The four internal angles of a parallelogram sum to 360°
Opposite internal angles are equal.
2(3x - 3.86) + 2(2x + 6.58) = 360
6x - 7.72 + 4x + 13.16 = 360
10x = 354.56
x = 35.456
HSB = (3(35.456) - 3.86) = 102.508°
answer this asap please its emergency
Answers
Step-by-step explanation:
emergency ? why ? you are in the middle of a game with such an unfair die ?
the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).
the probability to role an even number is therefore 3/6 = 1/2.
that means, even and odd are the 2 possible outcomes.
now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.
so, the probability to roll an even number is 3/4 (and for an odd number 1/4).
now, we roll it twice.
for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.
the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).
the probability to roll 2 even numbers is
3/4 × 3/4 = 9/16
the probability to roll 2 uneven numbers is
1/4 × 1/4 = 1/16
the sum is
9/16 + 1/16 = 10/16 = 5/8
so, E is the right answer.