Answer : no solution
Step-by-step explanation:
The system of the equations have infinitely many solutions.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The linear equation of two variable is given below.
6x + 3y = –12
6x + 3y + 12 = 0 ...1
–2x + 4 = y
2x + y – 4 = 0 …2
The standard equations are given as
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Compare equation 1 and 2 with the standard equation. Then we have
a₁ = 6, b₁ = 3, c₁ = 12
a₂ = 2, b₂ = 1, c₂ = –4
If the ratio of the coefficient of x and y are different, then unique solution.
If the ratio of the coefficient of x and y are same, but constant term ratio is different, then no solution.
If the ratio of the coefficient of x and y and constant term is same, then infinitely many solutions.
a₁ / a₂ = 6/2 = 3
b₁ / b₂ = 3/1= 3
c₁ / c₂ = 12/(-4) = -3
Then the condition will be
a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂
The system of the equations have infinitely many solutions.
More about the solution of the equation link is given below.
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find the value of y
Answer:
y ≈ 4.3 cm
Step-by-step explanation:
Given 2 secants from an external point to the circle.
The the product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
3(3 + y) = 2(2 + 6 + 3) = 2(11) = 22, that is
9 + 3y = 22 ( subtract 9 from both parts )
3y = 13 ( divide both sides by 3 )
y ≈ 4. 3 cm ( to the nearest tenth )
What expression can be used to determine the total cost of buying G pounds of granola for $3.25 per pound and F pounds of flour for $0.74 per pound
Answer: 3.25G + 0.74F = t
Step-by-step explanation: For this problem we will write an expression to represent this situation.
Let total cost be equal to t.
3.25G + 0.74F = t
The expression above states that at $3.25 per pounds of granola and $0.74 per pounds of flour, you will find the total cost of buying both, which is t.
The total cost of buying G pounds of granola at $3.25 per pound and F pounds of flour at $0.74 per pound can be calculated using the expression (G × $3.25) + (F × $0.74).
Explanation:To determine the total cost of buying G pounds of granola at $3.25 per pound and F pounds of flour at $0.74 per pound, you can use the following expression:
Total Cost = (G × $3.25) + (F × $0.74)
This expression multiplies the number of pounds of granola (G) by its price per pound and adds it to the product of the number of pounds of flour (F) and its price per pound. To find the total cost, simply substitute the values for G and F into this expression and calculate the sum.
A function is shown in the table. Which of the following is a true statement for this function? (5 points) The function is decreasing from x = 0 to x = 1. The function is decreasing from x = −1 to x = 0. The function is increasing from x = 0 to x = 1. The function is increasing from x = −2 to x = −1.
Answer:
Im pretty sure the function is increasing from x = -2 to x = -1
Step-by-step explanation:
Find the MAD for both citys and then round your answer to the nearest tenth
City A: 3.5, 4, 4, 2, 5.5, 5
City B: 5, 6, 3.5, 4, 5.5, 6
Answer:
A. 4 city b 6
B. City a, 8, when rounded 10
City b, 12, when rounded 10
C. City A. 2, 3.5, 4, 4, 5.5, 5..... so it's 4
City B. 3.5, 4, 5, 5.5, 6, 6..... so it's 5.25
Step-by-step explanation:
Answer:
A: ⅚
B: ⅚
Step-by-step explanation:
City A: 4, 3.5, 5, 5.5, 4, 2
Mean: sum/n
= 24/6 = 4
|x - mean|: 0, 0.5, 1, 1.5, 0 , 2
MAD = sum|x - mean|/n
5/6 = 0.833
City B: 5, 6, 3.5, 5.5, 4, 6
Mean: 30/6 = 5
|x - mean|: 0, 1, 1.5, 0.5, 1, 1
MAD = sum|x - mean|/n
5/6 = 0.833
Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
Answer:
A) 6+2 (x+4) = 1/2 (3-x)It's correct on ed2020 :)
Final answer:
The equation that represents the given verbal statement is 6 + 2(x + 4) = ½(3 − x), which translates the words into algebraic expressions and sets them equal as per the statement.
Explanation:
The correct equation to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number" is:
6 + 2(x + 4) = ½(3 − x)
Let's break down the statement and turn it into an equation step by step:
Six added to indicates we start with a six and add something to it.Twice the sum of a number (x) and four is written as 2(x + 4).Finally, is equal to one-half of the difference of three and the number translates to ½(3 − x).Putting it all together, we get the equation above, which correctly represents the given verbal statement.
In 2007, a census counted 2815 of a certain animal. This was 315 fewer than the number counted in 2006. What was the population of the animal in 2006?
The population of the animal in 2006 was
(Simplify your answer.)
Answer: 3,130
Step-by-step explanation: 2,815 + 315 = 3,130
The population of the animal in 2006 was 2500.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Given that, in 2007, a census counted 2815 of a certain animal. This was 315 fewer than the number counted in 2006.
So, the population of the animal in 2006 is
2815-315
= 2500
Therefore, the population of the animal in 2006 was 2500.
Learn more about the subtraction here:
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Select the correct answers.
What was Manifest Destiny?
a. the idea that the United States was meant to stretch from the Atlantic Ocean to the Pacific Ocean
b. the idea that the United States was meant to go to war to control Canada
c. the idea that the United States was meant to become a democracy
d. the idea that the United States was meant to bring an end to slavery in its western territories
Answer:
A- Be sure to check.
Explanation:
I found this online, I hope it helps you!
The Coining of 'Manifest Destiny'
By the time Texas was admitted to the Union as a state in December 1845, the idea that the United States must inevitably expand westward all the way to the Pacific Ocean had taken firm hold among people from different regions, classes and political persuasions.
My Answer: Manifest Destiny is the idea that the US was meant to rule from here to here.
Good Luck!
which is more 8 tons or 16,002 pounds
Answer:
16,002
Step-by-step explanation:
Answer: none
Step-by-step explanation: because they are equivalent
Steven purchases a bowl. THe diameter of the bowl is 14cm. What is the area of the bowl?
Answer: 153.86cm
Step-by-step explanation:
A bowl represents a circle
Area of a circle is pir2
But here we are given the diameter as 14
Diameter = 2radii
14=2r
R=14/2
R=7
So radius of the bowl is 7cm
Back to the formula
Area of a circle is pir2
Pi=3.14
Substitute for each value
Area= 3.14×7^2
Area= 3.14×49
Area= 153.86cm
Area= ~154cm
Answer 7?
Im not 100% sure. It is probably wrong
what does positive correlation mean?
Answer:A positive correlation is a relationship between two variables such that their values increase or decrease together.
Step-by-step explanation:
Positive correlation is a relationship between two variables in which both variables move in tandem—that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases.
A basketball player made 75 baskets in a season. Of these, 8% were three-point shots. How many three-point shots did the player make?
Answer:
6
Multiply 75 by .08, because that's 8% in decimal from.
Answer: 6 shots. (Could I get brainiest)
Step-by-step explanation: Multiply 75 baskets by 8% as a decimal which is .08, Then when you get your answer (600) move your decimal point to the left two times and you have 6 as your answer.
What is the factored form of x2 - 4x - 5?
ОООО
о(х + 5)(х – 1)
о(х+ 5)(х + 1)
О(х - 5)(х – 1)
О (х – 5)(х + 1)
Answer:
Option D, (x - 5)(x + 1)
Step-by-step explanation:
Step 1: Factor
[tex]x^2 - 4x - 5[/tex]
[tex]x^2 - 5x + x - 5[/tex]
[tex](x - 5)(x + 1)[/tex]
Answer: Option D, (x - 5)(x + 1)
Answer:
(x-5) (x+1)
Step-by-step explanation:
x^2 -4x -5
What two numbers multiply to -5 and add to -4
-5*1 = -5
-5+1 = -4
(x-5) (x+1)
Apply the distributive property to create an equivalent expression.
(6m – 7). 4=
Answer: 24m-28
Step-by-step explanation:
According to the distributive property ,
[tex]a(b+c) = ab+ac[/tex]
[tex](b+c)a = ba+ca[/tex] , where a, b and c are any arbitrary expressions.
Given expression : [tex](6m-7)\cdot4[/tex]
By using distributive property , we have
[tex](6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28[/tex]
Hence, the required equivalent expression is 24m-28.
Answer:
24m-28
Step-by-step explanation:
24m-28
Select the exclusion that fits best with this problem.
Answer:
[tex]\frac{1}{2y-2y^2}, y\neq 1[/tex]
Step-by-step explanation:
observe by factorization and cancelation
[tex]\frac{y^2+y+1}{-2y(y^3-1)}=\frac{y^2+y+1}{-2y(y-1)(y^2+y+1)}
\\=\frac{1}{-2y(y-1)}
\\=\frac{1}{2y-y^2}[/tex]
please help :) it’s math
Answer:
Step-by-step explanation:
brand B
Answer:
Brand A
Step-by-step explanation:
Volume of brand A cone is about 251.33
Volume of brand B cone is about 314.16
Please help on number 5, multiple choice
Answer: Post a picture of the question.
Step-by-step explanation:
Which of the following sentences is in the active voice?
A
The tractor was driven across the field.
B
The field was plowed by the farmer.
C
The grass had been eaten by the cows.
D
The family planted the seeds.
Answer:
D.) The family planted the seeds.
please give this brainliest :)
Step-by-step explanation:
Active voice means that a sentence has a subject that acts upon its verb.
This sentence is showig this when it says they planted seeds
What is the arc measure of AC on circle P in degrees?
Given:
∠APE and ∠EPD are congruent.
To find:
The measure of arc AC.
Solution:
Complete angle of a circle = 360°
m∠APE + m∠EPD + m∠DPC + m∠CPB + m∠BPA = 360°
m∠APE + m∠APE + 42° + 74° + 136° = 360°
2 m∠APE + 252° = 360°
Subtract 252° from both sides.
2 m∠APE + 252° - 252° = 360° - 252°
2 m∠APE = 108°
Divide by 2 on both sides.
m∠APE = 54°
Given ∠APE and ∠EPD are congruent.
m∠EPD = 54°
m∠APC = 54° + 54° + 42°
= 150°
The measure of central angle is congruent to the measure of the intercepted arc.
m(ar AC) = m∠APC
m(ar AC) = 150°
The arc measure of AC on circle P is 150°.
A TV has a rectangular picture with an area of 6 square feet. The picture has a length of 3 feet. What is the perimeter of
the picture?
9 feet
12 feet
10 feet
11 feet
Answer:
C. 10 ft.
Step-by-step explanation:
Area of 6 sq. ft. which is rectangular. The length is 3 ft and perimeter is l+l+w+w=perimeter. A rectangular shape has 2 sides of the same length and the other two are the same but, a different length the the other two sides.
Equation:
3+3+2+2=10
Find the distance of line segment AB with endpoints A(8 -3) and B(6 1) express your answer in simplest form or as a decimal correctly rounded to the nearest tenth.
(Example:3 times the square root of 2)
Answer:
Step-by-step explanation:
Answer:
The answer would be 4.47 or 4.5.
Step-by-step explanation:
Three runners are jogging from North Augusta to Beech Island. Runner 1 runs 14 miles in 3 hours while .Runner 2 runs 16 miles in 4 hours. Runner 3 runs 15 miles in 6 hours. What is the average speed of each runner?
Answer:
Runner 1,2 and 3 ran at a average speed of 4.67 , 4 and 2.5 miles per hour respectively
Step-by-step explanation:
We can all agree that speed equals distance divided by time and we are asked to find out the average speed of this 3 people.
---Average speed of runner 1
Speed = distance / time
Since he ran 14 miles within 3 hours
S = 14/3
The average speed was 4.67 miles pet hour
---For runner 2,
Speed = distance / time
Since he ran 16 miles in 4 hours,
Average speed = 16/4
= 4 miles per hour
---For runner 3,
Speed = distance / time
Since he ran 15 miles under 6 hours,
Average speed = 15/6
= 2.5 miles per hour
|28−x| =0
plz help show steps
Answer:
x=28
Step-by-step explanation:
|28-x|=0
|28-28|=0
x=28
explain if you can please and thank you
Given:
Given that the angles of the kite.
The opposite angles of the kite measures (3y + 14)° and (y + 50)°
We need to determine the value of y.
Value of y:
We know the property that the opposite angles are equal.
Thus, applying the property, we have;
[tex]3y+14=y+50[/tex]
Subtracting both sides of the equation by y, we have;
[tex]2y+14=50[/tex]
Subtracting both sides of the equation by 14, we get;
[tex]2y=36[/tex]
Dividing both sides of the equation by 2, we get;
[tex]y=18[/tex]
Thus, the value of y is 18.
What is the area of this composite shape enter you answer in the box
Answer:
2496
Step-by-step explanation:
BRAINLIEST PLEASE?????
Answer:
the area is 53
Step-by-step explanation:
triangle = 5
rectangle = 48
what is -2.67811 rounded to the nearest hundreth
Answer:
-2.68
Step-by-step explanation:
any number from 5 and up after the number makes it go up one
At a carnival, 700 tickets were sold for a total amount of $5000. An adult ticket cost $10 and a children's ticket cost $5. Find the number of adult tickets (x) and the number of children's tickets (y) sold.
Answer: 400 adult tickets and 300 kids tickets
Step-by-step explanation:
A square has sides with lengths of (x - 2) units. A rectangle has a length of x units and a width of
(x - 4) units.
Which statements about the situation are true? Select all that apply.
The area of the square is greater than the area of the rectangle.
B
The area of the square is (x2 - 4) square units.
The value of x must be greater than 4.
The difference in the areas is 4x -4.
The area of the rectangle is (x2 - 4x) square units.
Final answer:
The correct statements are the area of the rectangle is x^2 - 4x square units, the difference in areas is 4x - 4, and if x > 4, the area of the square could be greater than, equal to, or less than the area of the rectangle, depending on x.
Explanation:
When analyzing the given geometric shapes, a square with sides of length (x - 2) and a rectangle with dimensions x by (x - 4), a number of true statements can be identified:
The area of the square is (x - 2)2 or x2 - 4x + 4 square units.
The area of the rectangle is x(x - 4) or x2 - 4x square units.
If x > 4, then the area of the square could be greater than, less than, or equal to the area of the rectangle, depending on the value of x.
The difference in the areas is (x - 2)2 - (x(x - 4)) which simplifies to 4x - 4.
Therefore, the correct statements are that the area of the rectangle is (x2 - 4x) square units, and if x is greater than 4, the area of the square could be greater than the area of the rectangle, depending on x. The difference in the areas is indeed 4x - 4. However, the area of the square is not (x2 - 4) square units as previously stated.
Geneva treated her parents to dinner at their favorite restaurant the bill was $74.25 Geneva wants to leave 16% of the total tip how much should be the tip
Answer: The tip would be $11.88.
Step-by-step explanation: Basically, to find the tip of the bill you need to multiply the total, $74.25 by the tip amount which is 16%. To do this you will first need to convert 16% to a decimal. To find the decimal, divide 16 by 100 to get 0.16. Next, you will need to multiply the total of the bill $74.25 by the decimal 0.16. 74.25 multiplied by 0.16 is 11.88. So, the tip would be $11.88.
Amount of tip is $11.88
Percentage based sum:Given that;
Amount paid for dinner = $74.25
Percentage of tip = 16% = 0.16
Find:
Amount of tip
Computation:
Amount of tip = (Amount paid for dinner)(Percentage of tip)
Amount of tip = (74.25)(0.16)
Amount of tip = $11.88
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pls help if good at math
Using a 16-sided number cube, what is the probability that you will roll a multiple of 4 or an odd prime number? The number 1 isn't an odd prime. Round to three decimals.
A. 0.625
B. 0.250
C. 0.563
D. 0.688
Answer:
C
Step-by-step explanation:
All odd prime numbers up to 16:
3, 5, 7, 11, 13
All multiples of four up to 16:
4, 8, 12, 16
All of those in a list:
3, 4, 5, 7, 8, 11, 12, 13, 16
There are 9 things on that list. The probability is equal to:
[tex]\frac{9}{16}=c) 0.563[/tex]
Please mark brainliest. Have a nice day!
A circle's circumference is approximately 44 cm.
Complete each statement using one of these values: 7, 11, 14, 22, 88, 138, 154, 196, 380, 616.
The circle's diameter is approximately cm.
The circle's radius is approximately cm.
The circle's area is approximately cm2.
these are all approximate
======================================
Explanation:
C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,
C = pi*d
d = C/pi
d = 44/3.14
d = 14.01 approximately
d = 14 also approximate
take half of this to get the radius
r = d/2 = 14/2 = 7
Then use this radius to find the circle's area
A = pi*r^2
A = 3.14*7^2
A = 153.86
A = 154 rounding to the nearest whole number
Answer:
Circle's radius
[tex]r=7.00\rm cm[/tex]
Circle's diameter
[tex]d=2r=2\times7=14\rm cm[/tex]
Circle's area
[tex]a=\pi \times r^2=3.14\times 7^2=154\rm cm^2[/tex]
Step-by-step explanation:
Given information:
Circle's circumference is = [tex]44\rm cm[/tex]
We know,
Circumference of circle [tex]=2\times\pi\times r[/tex]
On substitution,
[tex]2\times3.14\times r=44\rm cm[/tex]
Circle's radius
[tex]r=7.00\rm cm[/tex]
Circle's diameter
[tex]d=2r=2\times7=14\rm cm[/tex]
Circle's area
[tex]a=\pi \times r^2=3.14\times 7^2=154\rm cm^2[/tex]
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