Answers
The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
Given a system of the equations:
x/3 + y/2 = 1/3 .... (1)
(5x)/6 - (3y)/4 = 1/6 ....(2)
Multiply 5/2 to equation (1) then subtract from equation (2), we get,
(5y)/4 + (15y)/8 = 5/6 - 1/6
(10y + 15y)/8 = 4/6
(25y)/8 = 4/6
25y = 4/6 x 8
y = 32/150
y = 0.21
To find the value of x,
x/3 + 32/300 = 1/3
x/3 = 1/3 - 32/300
x = 3(1/3 - 32/300)
x = 1 - 32/100
x = 0.68
From the given choices,
-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.
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Related Questions
answer this as quick as possible
Answers
Step-by-step explanation:
For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).
The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).
For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.
Same for the - but it goes backwards
Hope that helps
Help would be appreciated!
Answers
Answer:
Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.
(I don't know how to calculate the perimeter for the second question)
Answer:
Answer: 28
Step-by-step explanation:
A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.
factor 6 out of [tex]6x^2[/tex] - 18
Answers
Answer:
See below
Step-by-step explanation:
6x² - 18 = 6*x² - 6*3 = 6(x² - 3)[tex]\\ \sf{:}\Rrightarrow 6x^2-18[/tex]
Take 6 common in order to factor out6x^2=6(x^2)18=6(3)[tex]\\ \sf{:}\Rrightarrow 6(x^2-3)[/tex]
$20, $15,$10,$5. What is the range of allowance amounts?
Answers
Answer:
$15
Step-by-step explanation:
20-5= 15
Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.
Hope this helps :)
Pls po pahelpp ..... Kahit po paturo lng pra po matapos ko po
Answers
Answer:
ngee hirap Naman niyan sayang
2. The graph represents the amount
of water, y, left in a 13.5-gallon tub
after x minutes. What is the slope of
the line? What does the slope mean
in this context?
Answers
Answer:
Slope: -3/2
With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and get [tex]\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}[/tex]
This slope means that the water is decreasing at a rate of 3/2 gallons per minute.
Check
Match the solution set given in inequality notation with the solution set given in interval notation.
17,88
(-0, 7.8)
7.8
(7.8,00)
> 7.8
[7.8,00)
V
7.8
(-0, 7.8)
Answers
The Matching of the inequality is
x ≤ 7.8 -> (-∞,7.8]
x < 7.8 -> (-∞,7.8).
x > 7.8 -> (7.8,∞)
x ≥ 7.8 -> [7.8,∞).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
1. x ≤ 7.8
Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8
Thus, the interval is (-∞,7.8]
2. x < 7.8
Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.
Thus, the interval is (-∞,7.8).
3. x > 7.8
Here the value of is greater than 7.8 which means starting from 7.9 to ∞.
Thus, the interval is (7.8,∞)
4. x ≥ 7.8
Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.
Thus, the interval is [7.8,∞).
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Plzzzzz helpnmeeee plzzzz
Answers
41 - 17=
i know it's 28 but i can't really do math
Answers
Ok done. Thank to me :>
Please help me.........
Answers
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.
There are 30 kilograms of 10 percent apple juice how much more aplle juice does it need to get to 25 percent?
Answers
Answer:
45 kg of apple juice
Step-by-step explanation:
Divide 25% by 10%
The answer you get multiply it by 30
Take the answer you get subtract the 30 kg
The measure of an angle is 1/4 the measure of its compliment find the measure of each angle
Answers
Answer:
angle = 72°
complement = 18°
Step-by-step explanation:
x = (90-x) / 4
cross-multiply to get:
4x = 90 - x
5x = 90
x = 18
Translate to an inequality. Use the variable x.
A number is less than 15.
Answers
Answer:
that's the correct answers
Step-by-step explanation:
thanks for your
To translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.
This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.
Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
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Construct a 60° angle
Answers
i was wondering if u convert 38 inches to centimeters what would it be i told my teacher there is no correct answer for it
Answers
Answer:
96.52 cm
Step-by-step explanation:
Your teacher is incorrect, probably telling you this to avoid you wasting time
Answer:
96.52 cm
Step-by-step explanation:
1 inch is 2.54 cm
so 38 inch will be 2.54*38
96.52 cm
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Answers
Answer:
Henry could only see one line because both equations have the same expression when simplified: y = 3/2x - 2.Source:
https://brainly.com/question/9764595a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses??????
Answers
Answer:
38%
Step-by-step explanation:
20%-30%, 100%-30%, 20%-6%
80%-40%, 100%-40%, 5%-2%, 80%-32%
32+6=38%
Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students
Answers
520 :)
Reason:
65%-> .65
.65 x 800=
520
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answers
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13
What is:
9e−7=7e−11
Show Work
Answers
Answer: -2
Step-by-step explanation:
9e-7=7e-11
-7e -7e
2e-7=-11
+7 +7
2e=-4
/2 /2
e=-2
Please guys the surface area of the pyramid... I will mark you brainliest
Answers
Answer:
I can answer this but all you have to do is get the length, weight, and height and multiply it. I was going to do it but I could it find the height, and width.
Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will
Trent pay?
Answers
Solve the following:
2x - 7 = x + 3
4 3
Answers
Answer:
x = 10
Step-by-step explanation:
2x - 7 = x + 3
=> 2x - 7 = x + 3
=> x = 10
Therefore, x = 10.
Hoped this helped.
Answer: x=350
Step-by-step explanation:
4)Find the value of x and y
Answers
x=48, y=110
Explanation:
55-7=48
55+55=110
What is the solution to the equation? −12x=−3
Enter your answer in the box.
Answers
Answer:
The answer is 1/4 or 0.25
Step-by-step explanation:
The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3
So we can just divide -3 by -12 to find the answer.
-3 / -12 = 0.25
So the answer is 0.25 or 1/4 in fraction form.
Hope this helps! :)
૮ ・ﻌ・ა
Answer:
x = 1/4
Step-by-step explanation:
−12x = − 3
Step 1: Divide both sides by -12.
-12x/-12 = -3/-12
Answer:
x = 1/4
After heating up in a teapot, a cup of hot water is poured at a temperature of 203°F.
The cup sits to cool in a room at a temperature of 72°F. Newton's Law of Cooling
explains that the temperature of the cup of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = Ta +(T. -T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
T = the temperature of the object after t minutes
k=decay constant
The
cup of water reaches the temperature of 183°F after 2.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 5 minutes.
Answers
Answer:
asd
Step-by-step explanation:
Calculate the measure of angle ADB if angle ACB is 50 degrees.
Answers
Answer:
ADB=50°
Step-by-step explanation:
Angles subtended by the same segment are equal
Therefore,the angle ∠[tex]ADB=40[/tex] degree.
What are the angles?
An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.
Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.
And [tex]AD[/tex] is parallel to [tex]BC[/tex].
Therefore, the diagonals of a rhombus are at right angled.
So, ∠[tex]AOD=90[/tex] degree
Now, In Δ[tex]AOD[/tex],
∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree
∠[tex]ADO+50+90=180[/tex]
∠[tex]ADO=+140=180[/tex]
∠[tex]ADO=180-140[/tex]
∠[tex]ADO=40[/tex] degree
or
∠[tex]ADB=40[/tex] degree.
Hence, the angle ∠[tex]ADB=40[/tex] degree.
To know more about the angles
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over the course of 12 hours the temperature changes a total of -16 Celsius what is the average change in the temperature in 1 hour
Answers
Answer:
-1.33 degrees Celsius
Step-by-step explanation:
Divide -16 by 12.
In a two digit number, the sum of the digit is 14. Twice the tens digit exceeds the units digit by one. Find the numbers?
Answers
Answer:
59
Step-by-step explanation:
x= tens place of number
y= ones place of number
set up equations:
"sum of the digit is 14"
sum is the result of addition
x+y=14
"Twice the tens digit exceeds the units digit by one"
2x is bigger than y by 1
if 2x is bigger, then add 1 to the opposite side to balance the equation:
2x=y+1
with 2 equations you can solve for 2 variables:
2x=y+1
2x-1=y
substitute into x+y=14
x+(2x-1)=14
3x-1=14
3x=15
x=5
------
subtitute to find y
x+y=14
5+y=14
y=9
number is 59
a local company uses 13 1/2 tons of paper in one week. It recycles about 1/3 of its waste. how many tons of paper does the company recycle in one week?
Answers
Answer:
4 1/2 tons of recycled paper
Step-by-step explanation:
13.5/3 = 4.5 or 4 1/2
