The solution of the linear equations 2x + y = 8 and y = 3x - 2 will be (2, 4).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
2x + y = 8 ...1
y = 3x - 2 ...2
From equations 1 and 2, then the value of the variable 'x' is calculated as,
2x + 3x - 2 = 8
5x = 10
x = 2
Then the value of the variable 'y' will be calculated as,
y = 3(2) - 2
y = 6 - 2
y = 4
The solution of the linear equations 2x + y = 8 and y = 3x - 2 will be (2, 4).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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A jacket has an original price tag of $68. The jacket is on sale for 80% of its original price. What is the sale price of the jacket?
Answer:
I believe it is 54.40$
Step-by-step explanation:
I think weird. so
68 divided by 5 which will give you 20%(13.6) then multiply by 4 which is 80%(54.4)
Answer:
Sale price = $13.6
Step-by-step explanation:
The 80% cost of the jacket is,
→ (68/100) × 80
→ 0.68 × 80
→ $54.4
Now the sale price will be,
→ 100% - 80%
→ 68 - 54.4
→ $13.6
Hence, sale price is $13.6.
i cant solve this help –8x + 15 < 71
Answer:
x > -7
Step-by-step explanation:
Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
First, subtract 15 from both sides:
-8x + 15 (-15) < 71 (-15)
-8x < 71 - 15
-8x < 56
Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:
(-8x)/-8 < (56)/-8
x < (56)/-8
x > -7
x > -7 is your answer.
~
Answer:
Any number greater than but excluding -7.
Step-by-step explanation:
-8x + 15 < 71
-8x < 71 - 15
-8x < 56
56 divided by -8 = -7
So, that means anything greater than -7 would result in a lower number than 71.
simplify:
3x + 42 - 34
Answer:
The answer is 3x + 8.
Step-by-step explanation:
1) Collect like terms.
[tex]3x + (42 - 34)[/tex]
2) Simplify.
[tex]3x + 8[/tex]
Hence, the answer is 3x + 8.
Solve the equation. 12x+3=51
[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]
Answer:
= 4
Step-by-step explanation:
1 2 + 3 = 5 1
1 2 + 3 -3 = 5 1 − 3
i hope this helps<3
:)
hii!! please help!!
Answer:
im not sure try use calculater
Step-by-step explanation:
Jeffrey is making a passcode for his new phone. He decides to create a 6
digit passcode, using only numbers. How many different possible
combinations does he have?
what is the volume of the sphere is the radius is 1m
Answer:
If u consider Pi as 3.14 , the answer would be 4.18 .
Step-by-step explanation:
Hope it helps u , good luck ^.^
1. Order from smallest to largest:
Number of pennies in a stack that is 1 ft high
Number of books in a stack that is 1 ft high
Number of dollar bills in a stack that is 1 ft high
Number of slices of bread in a stack that is 1 ft high
Answer:
book, bread, penny, bills
Step-by-step explanation:
It takes the least amount of books to reach 1ft, then bread, penny, lastly bills
Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a five?
helpp ill give brainlist
Step-by-step explanation:
[tex]6 {x}^{2} - 5x + 2 - 2 {x}^{4} + 3 {x}^{2} - 2= \\ = - 2 {x}^{4} + 9 {x}^{2} - 5x [/tex]
Answer:
c. g-f(x) -2x⁴+9x²-5x
Step-by-step explanation:
that is the best answer
Ryan says that a rectangle is a square because it has 4 right angles. Addy says that a rhombus is a square because it has 4 equal sides. Part A Who is correct? A. Only Addy B. Only Ryan C. Both Ryan and Addy D. Neither Ryan nor Addy Part B How are rectangles and squares related? Use the drop-down menus to complete the explanation. All Choose... are Choose... , but only Choose... with 4 equal sides are Choose...
Answer:
D. Neither Ryan nor Addy
Step-by-step explanation:
Square:
A square is a quadrilateral that has equal sides and all angles equal to 90 degrees.
Rectangle:
A rectangles is a quadrilateral that has equal or unequal sides and all angles equal to 90 degrees. All rectangles are not squares.
Rhombus:
A rhombus is a quadrilateral that has equal sides and all angles may or may not be equal to 90 degrees. All squares are rhombus. But all rhombus are not squares.
As both Ryan and Addy have missed out one property of square therefore both of them are incorrect.
hello please help thanks
Evaporation Is Your Answer
The first step of the water cycle is evaporation. About 85% of the water vapor in the air comes from water that evaporated from the oceans.
please help 30 points
Answer:
The area of the polygon is 624.5 square feet.
Step-by-step explanation:
The total area of the figure ([tex]A[/tex]), in square feet, is the sum of the areas of two triangles and a rectangle, that is:
[tex]A = A_{I}+A_{II}+A_{III}[/tex] (1)
Where:
[tex]A_{I}[/tex] - Area of the big triangle, in square feet.
[tex]A_{II}[/tex] - Area of the small triangle, in square feet.
[tex]A_{III}[/tex] - Area of the rectangle, in square feet.
Then, we expand the formula by using all dimensions presented in the image attached:
[tex]A = \frac{1}{2}\cdot (25\,ft)\cdot (33\,ft-8\,ft) + \frac{1}{2}\cdot (8\,ft)\cdot (43\,ft-35\,ft) + (35\,ft)\cdot (8\,ft)[/tex]
[tex]A = 624.5\,ft^{2}[/tex]
The area of the polygon is 624.5 square feet.
Please help.
Is algebra.
Answer:
say thank you please. the answer for question 1 is D and question 2 is C
Whats is 12 =12x -1 ????????
Answer:
if you want 12 x 12 - 1 it is 143
Answer:
13 / 12
Step-by-step explanation:
12 = 12x - 1
12x - 1 = 12
12x = 12 + 1
12x = 13
x = 13 / 12
Miguel will spend at most $30 on gifts. So far, he has spent $12. What are the possible additional amounts he will spend?
Answer:
everything that adds up to 18
Step-by-step explanation:
Answer:
I believe the answer is $18. He will spend at most $30 and he has already spent $12. The possible additional amounts he can spend is $18 since:
30 - 12 = 18
Step-by-step explanation:
(Maybe I got confused with the question, so im not confident that its correct.
I hope it helps!)
Find the area, use 3.14 for pi
Answer:
113.04
Step-by-step explanation:
The formula for the area of a circle is A=(pie)r²
So the equation is 3.14 x 6² = 113.04
HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS
Answer:
Step-by-step explanation:
you need more information to be able to answer the question. Is there any other information they gave you?
i think you are right maybe but this is helpful sorry!
Kelly and Brandon have a combined age of 32.
They have an age difference of 6 (Kelly is older).
Write a system of equations to find out how old Kelly is
and how old Brandon is.
Answer:
Kelly is 19; Brandon is 13
Step-by-step explanation:
k + b = 32. Also: k = b + 6.
Substituting b + 6 for k in the first equation, we get b + 6 + b = 32, or
2b = 26. Then b must be 13, and k must be 13 + 6, or 19.
Kelly is 19; Brandon is 13.
Answer:
Brandon is 13, Kelly is 19.
Step-by-step explanation:
Let's set up our equations.
Kelly and Brandon have a combined age of 32.
K + B = 32
They have an age difference of 6. Kelly is older.
K - B = 6
Let's shift the equation around a little.
K - B = 6
Add B to both sides.
K = B + 6
Now let's plug K into our first equation.
K + B = 32
(B + 6) + B = 32
Combine like terms.
2B + 6 = 32
2B = 26
Divide both sides by 2.
B = 13
Now that we know Brandon is 13, we can find Kelly's age.
K + B = 32
K + 13 = 32
K = 19
Kelly is 19.
Hope this helps!
a)3/5x + 1/x+2
can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2
The value of a and b are a=8 and b=6 respectively.
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
We are given the expression as
3/(5x) + 1/(x+2)
We have to multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
Now we have
3x+6/(5x)(x+2)
5x/(5x)(x+2)
Now adding the numerators gives us
8x+6/(5x)(x+2)
Therefore a=8 and b=6
Learn more about factorization here:
https://brainly.com/question/10454590
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please help will mark brainlyist
What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place
Answer:
1608.5
Step-by-step explanation:
I just did a question that was like this
Plz help me with this..........
Answer: 18 also you are wellcome
18.
The median will be the average of the two middle numbers.
I just need the inequality/equation please!
Stephanie is saving money to buy a computer next year. So far she has saved $200. Write an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer, then solve the inequality.
Let x represent the amount that she needs to save each month for the next year.
Stephanie is saving money to buy a new computer. So far she has saved $200. This means that the total amount that she would have saved in y months is
200 + xy
Since there are 12 months in a year,
an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer is
200 + 12x ≥ 1200
12x ≥ 1200 - 200
12x ≥ 1000
x ≥ 1000/12
x ≥ 83.33
What is 0.98989898 with bar notation?
Answer:
Man it's easy
0.98.... = —–
0.98
Step-by-step explanation:
try putting a line above the 98.
if it helps don't forget to like and markme
6 grade math pls help
Answer: <2=60°
Step-by-step explanation:
Equilateral meaning all same. Triangle whole will be 180° So 60x3=180°
Answer:
<2=60
Step-by-step explanation:
I hope it help
I don't know what the answer is. Please Help
Answer:
D.
Step-by-step explanation:
Hope this helps
~R3V0
Jackie deposits $2,050 into an account that pays 6.8% interest compounded annually. How much will be in the account (to the nearest dollar) after 6 years?
Answer:
$2091 (exact answer is $2090.80)
Step-by-step explanation:
2050 × 6.8% = 6.8
So, interest will add an extra $6.80 to his account
6.8 × 6 = 40.8
So, after 6 years, interest will make him an additional $40.80.
Add 40.80 to his original amount of money.
2050 + 40.8 = 2090.80
Round it up to the nearest dollar.
$2091
Find the value of x in the following triangle
Answer:
x = 124°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x = 180° - (32 + 24)° = 180° - 56° = 124°
Diego thinks that x = 3 is a solution to the equation x² = 16. Do you agree?
Explain or show your reasoning.
Yes, he is correct.
No, he is incorrect. The answer should be 6.
No, he is incorrect. The answer should be 9.
None of the above
Answer: No, he is incorrect. The answer should be 9.
Step-by-step explanation: x² = x times x so in this case x is 3.
3 times 3 = 9
Lol this is prob more helpful than the other answer