The solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16
What are linear inequalities?Linear inequalities are inequalities that have constant average rates of change, slope or gradient
How to determine the solution to the system of inequalities?A system of linear inequalities is a collection of at least two linear inequalities.
In this case, the system of linear inequalities is given as
7x+2y > 3
x-2y < 2
Rewrite the inequalities as equations
7x+2y = 3
x-2y = 2
Make x the subject in the second equation, by adding 2y to both sides of the equation
x - 2y +2y = 2 + 2y
This gives
x = 2 + 2y
Substitute x = 2 + 2y in 7x+2y = 3
7(2 + 2y) +2y = 3
Expand the brackets
14 + 14y + 2y = 3
Evaluate the like terms
16y = -11
Divide both sides by 16
y = -11/16
Substitute y = -11/16 in x = 2 + 2y
x = 2 - 2 * 11/16
Evaluate the product
x = 2 - 11/8
Evaluate the difference
x = 5/8
Hence, the solution for the system of linear inequalities 7x+2y > 3 and x-2y < 2 are x = 5/8 and y = -11/16
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solve each system of eaquasions x+4y=4 -x+2y=8
Answer:
(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using systemsStep-by-step explanation:
Step 1: Define Systems
x + 4y = 4
-x + 2y = 8
Step 2: Rewrite Systems
x + 4y = 4
[Subtraction Property of Equality] Subtract 4y on both sides: x = 4 - 4yStep 3: Redefine Systems
x = 4 - 4y
-x + 2y = 8
Step 4: Solve for y
Substitution
Substitute in x: -(4 - 4y) + 2y = 8[Distributive Property] Distribute negative: -4 + 4y + 2y = 8Combine like terms: -4 + 6y = 8[Addition Property of Equality] Add 4 on both sides: 6y = 12[Division Property of Equality] Divide 6 on both sides: y = 2Step 5: Solve for x
Define original equation: x + 4y = 4Substitute in y: x + 4(2) = 4Multiply: x + 8 = 4[Subtraction Property of Equality] Subtract 8 on both sides: x = -4simplify the expressions
Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)
um sapato é vendido a r$ 180,00. se a compra for a vista a loja oferece um desconto de 10%. qual o valordo sapato na compra a vista?
Preço de um sapato = $ 180,00
Desconto concedido se o sapato for comprado em dinheiro = 10%
Custo do calçado quando comprado à vista :
[tex] =\tt 180 - 10\% \: \: de \: \: 180[/tex]
[tex] = \tt180 - \frac{10}{100} \times 180[/tex]
[tex] =\tt180 - \frac{10 \times 180}{100} [/tex]
[tex] = \tt180 - \frac{1800}{100} [/tex]
[tex] =\tt 180 - 18[/tex]
[tex]\color{plum} =\tt\$162.00[/tex]
▪︎Assim, preço do sapato quando comprado em dinheiro = $ 162,00
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Answer:
Step-by-step explanation:
m=16/4 this one is division
16= 4*m multiplacation
Which of these relations is a function?
X
y
9
10
-18
2
2
4
-12
2
20
3
y
17
19
-2
20
6
-10
X
1
-10
y
18
17
12
14
1
16
х
15
8
y
-8
5
17
0
-13
15
Answer:
I think the answer is 2 4
Step-by-step explanation:
Table {1} and table {2} represent the relations that are functions.
What is function? What is modulus function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
We can define the modulus function as -
|x| = - x {x < 0}
|x| = x {x > 0}
Given is to identify which of the relations are functions.
For a relation to be a function, it should have unique value of {y} for a unique value of {x}. One value of {x} cannot have more than one values at the same time. We can see in the image attached that only table 1 and 2 represent such relations. So, we can conclude that relation {1} and {2} represent the functions.
Therefore, table {1} and table {2} represent the relations that are functions.
To solve more questions on functions, visit the link below-
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The question is in the picture
Answer:
option 1
Step-by-step explanation:
Answer:
option 1
Step-by-step explanation:
Two lines intersect. Find the value of b.
bo
42°
cº
Step-by-step explanation:
b = 42
c = 138
plz mark my answer as brainlist plzzzz if you find it useful .
Hi! PLS HELP ITS 30 POINTS!! Thanks!
A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?
15 millimeters
150 millimeters
1,500 millimeters
15,000 millimeters
Pls help!
Imma report u if its something off the topic!
Thanks again!
(its not b i tried it and got it wrong!! )
Answer:
1,500 millimeters
Step-by-step explanation:
1 litre = 1000 millilitre.
Try 1,500.
The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next event, he has ordered 100 dinner plates. Each plate is 12 inches in diameter, with gold trim along the edge. How much gold trim is needed in total to prepare the plates? Use 3.14 for pi.
A) 4748 inches
B) 3784 inches
C) 2894 inches
D) 3768 inches
Answer:
D) 3768 inches
Step-by-step explanation:
Given,
No. of plates = 100
Diameter of each plate = 12inches
So, radius of each plate = 12 / 2 = 6 inches
So, circumference of each plate
[tex] = 2\pi \: r[/tex]
= 2 × 3.14 × 6 inches
= 37.68 inches
Hence, circumference of 100 plates = 100 × 37.68 inches
= 3768 inches
Hence, 3768 inches of gold trim is required (Ans)
Due in 20 please help
The polygons are similar. Find the values of
the variables. Write an equation and solve,
showing ALL the work.
It tells you they are similar. This means the angles are the same, and the sides are proportionate.
Look at the 12 and 4 at the very bottom. This tells you the ratio of the sides. Since 12 / 4 = 3, you can find y with 2 * 3 which is 6.
From that, you also know that 3z = 3y - 2. Substitute the value of y in and you can find z.
Corresponding angles are exactly the same. which means, (3x)° = 100°
You should get x = 33 1/3, y = 6, z = 5 1/3
Carlos got 5/6 of the test questions correct. This was 15 questions. How
many questions were on the test?
Answer:
5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified
Step-by-step explanation:
Please help if you want BRIANLEIST!!!! :)) TY!!!
Answer: The correct answer is 5/4
Step-by-step explanation: can get the brainliest answer thanks.
calculate: 3400*6 1/2 *1/100
questions clear likhh
thank for extra points
Smiths bike shop rents bikes for $10
plus $4 per hour. Anita paid $22 to
rent a bike. How many hours did
she rent the bike for? Write an
equation to represent this situation
and then solve.
An account earns simple interest.
$600 at 5% for 2 years
a.Find the interest earned.
$___
b.Find the balance of the account.
$___
Please answer and give an explanation with your response. I will mark the correct and quickest answer BRAINLIEST!!!
Answer:
600×100/5×2=
6\10=3/5
Answer:
A is $60
B is $660
Step-by-step explanation:
For A, you move the decimal in 5% 2 over so it is 0.05. You then multiply 0.05 by 600, multiply that answer by 2, and you'll get $60.
Sorry I'm not sure how to do B, I looked up the answer to that one.
pls help ty !
question is in the pic
Answer:
He is not correct
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Enter your answer
Answer:
I think Giant.
Which is greater.9 or 95%
kepçe
Step-by-step explanation:
kepçe kulak verin lütfen
180:60 in its simplest form
Step-by-step explanation:
here is it your
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
Triangles are similar Find the value of x.
Please help Thank you in advanced
Answer:
x=36
Step-by-step explanation:
14/42=12/x
14x=12(42)
14x=504
x=36
(-4z+1) (5z-2)=
solution plz.
Answer:
-20z² + 13z - 2.
Step-by-step explanation:
hello !
you use the F.O.I.L method to multiply these two. first, you multiply the first terms, which are:
(-4z)(5z) = -20z²
then, the outside terms, which are:
(-4z)(-2) = 8z
then, the inside terms, which are:
(1)(5z) = 5z
then, lastly, the last terms, which are:
(1)(-2) = -2
Therefore, we get:
-20z² + 8z + 5z - 2.
combine like terms, and the answer is:
-20z² + 13z - 2.
heres a pic of my dog :) her name is tess
Answer:
She is so adorable
Step-by-step explanation:
Very adorable doggo
Answer:
She's adorable!! What type of dog is she?
Step-by-step explanation:
I have two rottweilers and I love them sooooo much <3
hi can you please tell me what the answers are?
Answer:
m<PTQ=90
m<TSR=45
PT=9
89+67
berapakah jawapan nya
Answer:
156
Step-by-step explanation
fgcfgvhvcfgvxxbbhhcx
Answer:
Jawapan kepada 89 + 67 = 156
Would it be a b c or s please answer fast
Answer:
Step-by-step explanation:
it is your first choice
-4.4+3.6[tex]\geq[/tex]1.6x
-0.5[tex]\geq[/tex]x
zola earned $30 by working two hours and receiving a $12 bonus. what expression matches that expression?
15(h) + 12
h = hours worked
//
15(2) + 12
Maria is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges $121 and allows unlimited mileage. Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven. For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
m=42/0.7
m=60 miles they will be costing the same
Step-by-step explanation:
2
What is the system by which we can convert between
metric and customary units?
A None; it's different for every unit
B A base-6 algorithm
C A base-10 system
D A mix between multiplication and division
Answer:
i think that it's A.
Step-by-step explanation:
Metric units are the standard units of measurement while customary units are derived from the metric units. To convert between both units, you need a mix between multiplication and division.
Take distance as an instance.
The metric unit of distance is meters.
The customary units are: feet, inches, yards, miles, etc.
To convert from meters to feet, we multiply by 3.281
For instance:
[tex]2\ meters = 2 \times 3.281\ feet[/tex]
[tex]2\ meters = 6.562\ feet[/tex]
To convert from feet to meter, we divide by 3.281.
For instance:
[tex]6.562\ feet = \frac{6.562}{3.281}\ meters[/tex]
[tex]6.562\ feet = 2\ meters[/tex]
Hence, option (d) is true
Read more about metric and customary units at:
https://brainly.com/question/346695
Brainliest!! + Thanks and 5 stars :>
(08.05)What conclusion can be determined from the dot plot below?
A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12.
The number of observations is 10.
The median of the data set is 10.
The mean of the data set is 15.
The range of the data set is 12.
Answer:
Option 2
Step-by-step explanation:
Go through until you find a true statement:
- The number of observations is 10
Count the number of data points. You should end up with 15, so this option is not correct.
-The median of the data set is 10
To find the median, you know that there are a total of 15 data points, so the median would be the mean of the 7th and 8th (because those are the middle numbers). If you look at the data points, the 7th and 8th points are at 10. The mean of 10 and 10 is just 10, so that means the median of the set is 10.
This is the correct answer.
If you want, you can also go through the other options and see that none of them work.
Answer:
The person above is correct it would be option two!
Step-by-step explanation:
The explanation makes alot of sence. I took the test to make sure it was correct i gotten a 100~!!! ty!