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Related Questions
It is sometimes possible to write two inequalities as a inequality.
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Yes, it is. When we have one inequality composed of two inequalities, we call this a double inequality.
A double inequality would look something like -5 < 4x < 10.
Hopefully, this helps! =)
In mathematics, it is common to combine two inequalities into a single compound inequality to indicate a range for a variable. Inequalities are also used in describing alternative hypotheses in statistics and conversions between measurement systems.
Explanation:It is indeed sometimes possible to represent two separate inequalities as a single compound inequality in mathematics. This technique is often used to indicate that a value lies within a certain range. For instance, to show that a number x is greater than 1 but less than 3, we can write two inequalities: x > 1 and x < 3. These can be combined into a single compound inequality 1 < x < 3.
Inequalities are often used in various mathematical contexts, such as solving equations, graphing regions on a coordinate plane, or expressing ranges. Furthermore, in statistics, the alternative hypothesis is typically denoted using inequality symbols (≠, >, or <), showing a predicted difference or relationship.
To express equivalences between different measurement systems, a common approach is to use 1 as an exact value on one side of the equation, with the other side being inexact. Mathematically, you can rearrange equations for convenience into formats showing direct or indirect proportionalities, simplifying complex relationships into more manageable forms.
22>= 5(2y+3)-3y how do I solve this
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Final answer:
To solve the inequality 22 >= 5(2y+3)-3y, we distribute the 5, combine like terms, then isolate and solve for y, showing that y must be less than or equal to 1.
Explanation:
To solve the inequality 22 >= 5(2y+3)-3y, follow these steps:
Distribute the 5 into the parentheses: 22 >= 10y + 15 - 3y.Combine like terms on the right side: 22 >= 7y + 15.Subtract 15 from both sides to isolate the term with y: 7 >= 7y.Divide both sides by 7 to solve for y: y <= 1The final answer is that y must be less than or equal to 1.
A = Pe^rt
Can you please help me solve for t?
I've tried using logs to isolate it, but I'm not good with logs and I couldn't figure it out.
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You want to solve for time "t".
A = Pe^rt
Dividing both sides by "P"
(A / P) = e^r*t
Taking NATURAL LOGS of both sides:
(the natural log of "e" is 1)
ln (A / P) = ln (e^r*t)
ln (A / P) = r*t*1
ln (A / P) = rate * time
Time = ln (A / P) ÷ rate
Suppose a jet travels 60 kilometers in 5 minutes how many kilometers will it travel in 2 hours?in 6 hours ? In 6 hours it will travel?
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In 6 hrs, the jet will travel 4,320 kilometers.
i love math period.
It is found that in 2 hrs, the jet will travel 1,440 kilometers. And in 6 hrs, the jet will travel 4,320 kilometers.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We can calculate this using the following steps:
60 kilometers in 5 minutes
x kilometers in 2 hours = 120 minutes
Therefore,
60 ( 120 )= 5 x
x = 60 ( 120 / 5)
x = 1440 kilometers
y kilometers in 6 hours = 360 minutes
60 (360) = 5 y
y = 60 ( 360 / 5)
y = 4320 kilometers
Hence, It is found that in 2 hrs, the jet will travel 1,440 kilometers. And in 6 hrs, the jet will travel 4,320 kilometers.
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Which line is horizontal? A. y = 2 B. y = 2x C. y = −2x D. y = x
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HOY -- horizontal line, 0 slope, represented by y = a number
VUX-- vertical line, undefined slope, represented by x = a number
ur horizontal line is : y = 2
Can someone please help me? ill give brainliest for correct answer!
The graph below shows the number of spoons arranged on different numbers of tables in a room:
What does the point (1, 10) on the graph represent?
The ratio of spoons to tables is 11:1.
There are 10 spoons for every 1 table.
The ratio of tables to spoons is 11:1.
There are 10 tables for every 1 spoon.
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hope this helps
because it is 1:10, 2:20, etc
so it is 10 for each
Solve for x.
x/2 ≥ −4
x ≥ −8
x ≥ −2
x ≤ −8
x ≤ −2
Solve for t.
−3t ≥ 39
t ≤ 13
t ≤ −13
t ≥ −13
t ≥ 13
Solve for x.
−6 ≥ 10−8x
x ≤ −2
x ≥ −2
x ≤ 2
x ≥ 2
Solve for d.
5+d > 5−d
d > 6
d > 0
d > −10
d < −5
Solve for x.
4(x+) ≤ 4x+3
x ≤ 1
x ≤ 7
no solution
all real numbers
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x ≥ −8
t ≤ −13
x ≤ 2
d > 0
no solution
Number 3. is wrong the correct answer is D.
Which expression represents the distance the two points, X and Y, on the number line?
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|-4-7| is the expression represents the distance the two points, X and Y, on the number line
What is Number system?A number system is defined as a system of writing to express numbers.
Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The x point is at minus four and y is at point three.
The distance will be always positive
As we count the units from -4 to 3 we get seven humps.
So the distance will be 7 units.
This we can get by taking |-4-3| which is |-7|=7 units.
Hence, |-4-7| is the expression represents the distance the two points, X and Y, on the number line
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The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 150 square centimeters when its height is 20 centimeters and its base length is 15 centimeters. What is the area of a triangle having a height of 30 centimeters and a base length of 18 centimeters?
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The area of the triangle is 270 square centimeters.
Explanation:To find the area of a triangle, we can use the formula A = (1/2)bh, where A represents the area, b represents the base length, and h represents the height. In this case, we are given the area of one triangle (150 square centimeters) when its height is 20 centimeters and its base length is 15 centimeters. Plugging these values into the formula, we get:
A = (1/2)(15)(20) = 150
Now, we can use this equation to find the area of another triangle with a height of 30 centimeters and a base length of 18 centimeters:
A = (1/2)(18)(30) = 270 square centimeters
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The width of a rectangle is 3 inches shorter than the length. the perimeter of the rectangle is 18 inches. what is the length of the rectangle
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A truck travels on the highway at a speed of 72 miles per hour. What is the speed of the truck in feet per second
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60 seconds in a minute....60 minutes in an hr...(60 *60) = 3600 seconds in an hr.
380160 / 3600 = 105.6 ft per second <==
The speed of the truck in feet per second will be 105.6 ft per second.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
1 mile = 5280 feet
And
1 hour = 60 minutes
1 hour = 60 × 60 seconds = 3600 seconds
Now
Given the speed of the truck is
⇒ 72 miles/hour
⇒ 72 × 1 mile/1 hour
⇒ 72 × 5280 feet/3600 seconds
⇒ 105.6 feets/second
Hence "The speed of the truck in feet per second will be 105.6 ft per second".
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Round 894-352 to the nearest ten
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Compare the graphs of the pair of functions. Describe how the graph of the second function relates to the graph of the first function. y=-2(x) and y=-2(x)-3
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The graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The equations of the functions are:
y -2x
y = -2x - 3
The graph of the function y = -2x will be a straight line that is passing through origin (0, 0).
Applying transformation to the graph of the function y = -2x
y = -2x - 3
As we can see in the graph:
The graph y=-2x - 3 is shifted down 3 units from y = -2x
Thus, the graph of the function y = -2 - 3 is shifted down 3 units from the graph of the function y = -2x.
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Identify three solutions of the graph shown. Please help
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Therefore, points (1.5, 0), (1, 1) and (0, 3) are some of the solutions of the graph.
The measure of one of the acute angles in a right triangle is 59°. what is the measure of the other acute angle?
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________________________________
59 + 90 + x = 180
59 + 90 = 149 ;
x + 149 = 180 ;
Subtract 149 from each side of the equation:
x + 149 - 149 = 180 - 149 = 31 .
The answer is: 31° .
that is because one of the angles is 90 and the sum of all the angles is 180
so if x and y are the acute angles and z is the right angle then
x+y+z=180, subsitutuing 90 for z
x+y+90=180
minus 90
x+y=90
so if one is 59 degrees then
59+y=90
minus 59 from both sides
y=31
the other acute angle is 31 degrees
The sum of 16 and a number x is equal to 20
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16 + x = 20 <= ur equation
x = 20 - 16
x = 4 <== the number
This is how I know:
20-16=4
How do I know this?
Sum means to add. To get the sum of something that equals another number, you must see what number adds up with 16 to get 20. So, this means that 16+4=20.
Hope this helps. <3 :)
25 POINTS!!!!!!!!!!!!!!!!!!!!!!
Determine the graph of (f-g)(x) when f(x)=1/x and g(x)=sqrt(x).
The answer choices are in order A B C D.
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Is (1,-4) a solution to the equation y=-2x?
Yes or no? Please help /:
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-4 = -4, otherwise the equation won't be satisfied.
y = -2x
-4 = -2(1)
-4 = -2
-4 obviously isn't equal to -2, so it is not a solution to the equation.
Hope this helps!
the expression 2x+50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing.
Which is the rock climbers initial height above sea level?
Enter your answer in the box.
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The rock climbers initial height above sea level is:
50 meters.
Step-by-step explanation:The expression which is used to represent the elevation above sea level, in meters, of a rock climber after x minutes of climbing is given by:
2x+50
Now, we are asked to find the rock climbers initial height above sea level i.e. we are asked to find the value of the expression when x=0.
Hence, when x=0 we have:
2x+50=2×0+50
= 50
Hence, the answer is: 50 meters.
Ryan works at the car wash making $5.30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did Ryan make last week?
a. $86.40
b. $148.00
c. $169.60
d. $233.40
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403 - 169.6= 233.4
He made $233.40 last week, answer D
Answer:
Option d.
Step-by-step explanation:
Ryan works at the car wash and earns = $5.30 per hour plus tips.
His earning from 32 hours of work = 32 × 5.30 = $169.60
He total earned = $403.00
Therefore, he earned from tips = $403 - $169.60
= $233.40
Ryan earned in tips $233.40.
What is the value of the expression when a = 4 and b = 2? open study?
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Replace all occurrences of a with the solution found by solving the last equation for a. So my answer would be 4 for the value that is substituted. I hope I was of some use to you.
which choice below represents the correct domain for an exponential growth or decay function?
a. {x | x > 0}
b. {y | y > 0}
c. x= 0
d. {x | x E R}
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Raylene bought a roll of tape with a length of 18.9 feet. if she has used 6.3 feet, how much tape is left?
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Simplify
4.4² + 5 =
5.10÷15−3=
6.2 ⋅ 72−10(9+1)3=2 · 72−10(9+1)3=
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4.4^2 = 19.36
19.36 + 5 = 24.36
Answer: 24.36
5.10 ÷ 15 = 0.34
0.34 -3 = -2.66
Answer: -2.66
6.2(72) = 446.4
446.4 - 10 = 436.4
9 + 1 = 10
436.4(10) = 4,364
Answer: 346.4
just break down the problems so you can understand it better
good luck on your assignment
~MeIsKaitlyn :)
Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes. How many of each coin does he have?
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hope it helps
0.10d +0.25q = 7.00
multiply everything by 100 to get rid of decimals
q = d+7 ( 7 more quarters than dimes)
10d +25(d+7) = 700
10d + 25d +175 = 700
35d +175 = 700
subtract 175 from each side
35d =525
d = 525 / 35 = 15
15 dimes
quarters = 15 +7 = 22
Suppose that during a speech, (x – 4)2 students protested. If 36 students protested, what are the possible values of x?
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(x - 4)² = 36
Now by using the formula;
(a-b)² = a² -2ab + b²
(x - 4)² = x² - 2(x)(4) + 4² = x² - 8x +16
Now the expression will be;
x² - 8x + 16 = 36
x² - 8x + 16 - 36 = 0
x² - 8x - 20 = 0
Now by using factorization method;
x² -10x + 2x -20 = 0 , -10 + 2 = 8 and -10 x 2 = -20
x(x-10) + 2 (x - 10) = 0
(x -10) (x +2) = 0
Now either x - 10 = 0 or x+2 = 0
it means x = 10 or x -2
So, the possible values of x are 10 and -2.
Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15. His checkbook shows a balance of $87.37 as of March 20. The bank returned all the cancelled checks but two. One check was for $5.00 and the other was for $13.25. How much did Carlos deposit in his account between March 15 and March 20? A. $125.87 B. $162.37 C. $11.22 D. $48.87
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Hope this helps :)
Rivka and Sara are sisters and contestants on a survival reality tv show. They must each build a raft that will ultimately carry them off the island. Rivka can build her raft in 5 days. Sara can build her raft in 6 days. Though, as sisters, they sometimes fight, they decided to work together to build their rafts. How many days will it take Rivka and Sara to build their two rafts? (Round your answer to one decimal.)
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x = (1 raft)/(5 days) = 1/5 rafts/day.
Sara's working rate is
y = (1 raft)/(6 days) = 1/6 rafts/day.
When working together, their combined working rate is
x + y = 1/5 + 1/6 = 11/30 rafts/day
The days required to build 2 rafts together is
( 2 rafts)/(11/30 rafts/day) = 60/11 days = 5.45 days
Answer: 5.5 days
Final answer:
Rivka and Sara can build their two rafts together in approximately 5.5 days, as they have a combined work rate of 11/30 rafts per day when they work together.
Explanation:
Rivka and Sara, working together to build their rafts, would combine their work rates to find out how many days it will take to build two rafts. Rivka can build a raft in 5 days, which means her work rate is 1 raft per 5 days or 1/5 raft per day. Sara can build a raft in 6 days, equating to a work rate of 1/6 raft per day.
When they work together, their combined work rate is 1/5 + 1/6 rafts per day. To combine these, we find a common denominator:
1/5 + 1/6 = (6 + 5) / 30 = 11/30 rafts per day
The question asks how long it takes to build two rafts. Therefore, we divide the total number of rafts by their combined work rate:
2 rafts / (11/30 rafts per day) = (2 * 30) / 11 days = 60/11 days ≈ 5.5 days
Hence, Rivka and Sara will take approximately 5.5 days, or 5.5 days rounded to one decimal, to build two rafts if they work together without stopping.
A squirrel runs 3.4 meters east and then 6.9 meters south, then another 5.2 meters east what is the distance the squirrel traveled?
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Name the property shown by the statement.
2 + 5 = 7