Answers
4. If x = y + 3, then in the second equation you can write
-3 (y + 3) + 3y = 6
Expanding and simplifying gives
-3y - 9 + 3y = 6
-9 = 6
but this is clearly not true, so this system as no solution.
5. Solve the first equation for x :
x + 2y = 4 ===> x = -2y + 4
Substitute into the other equation:
2 (-2y + 4) - 3y = 1
-4y + 8 - 3y = 1
-7y = -7
y = 1
Solve for x :
x = -2•1 + 4
x = -2 + 4
x = 2
6. Solve the first equation for y :
2x - y = 6 ===> y = 2x - 6
Substitute into the other equation:
x + 2 (2x - 6) = -2
x + 4x - 12 = -2
5x = 10
x = 2
Solve for y :
y = 2•2 - 6
y = 4 - 6
y = -2
7. Solve either equation for x :
x + 4y = 10 ===> x = -4y + 10
Substitute into the other equation:
(-4y + 10) - 2y = -8
-6y = -18
y = 3
Solve for x :
x = -4•3 + 10
x = -12 + 10
x = -2
8. Solve the first equation for y :
-2x + y = 1 ===> y = 2x + 1
Substitute into the other equation:
4x - 2 (2x + 1) = 5
4x - 4x - 2 = 5
-2 = 5
This is false, so there is no solution.
9. Solve the second equation for x :
-x - 4y = -3 ===> x = -4y + 3
Substitute into the other equation:
2 (-4y + 3) + 8y = 6
-8y + 6 + 8y = 6
0 = 0
This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.
Related Questions
For how many shoe strings will Toby and Marie have the same amount of money in the account? Must show your work by making a table or solving algebraically by setting the equations equal to each other.
Answers
Answer:
we need more information to solve your problem.
Step-by-step explanation:
PLEASE HELP THANK YOU AND HAVE A GOOD DAY! The answer is not D by the way!
Answers
Answer:
answer a
Step-by-step explanation: cause it will equal up and it has to be negitive on answer so u divided it and youll get a
A line intersects the points
(8,-10) and (9, 4).
What is the slope of the line in
simplest form?
m = [?]
Answers
Answer: 14
Step-by-step explanation:
The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:
m=4-(-10)/9-8
m=4+10/9-8
m=14/1
m= 14
the shopkeeper sold a laptop having its cost price rupees 25000 at a profit of 25% find its selling price
Answers
Answer:
Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).
Let SP = x
Since the question says that Profit is 25% of the selling price, we have:
Profit = 25% SP = 0.25x
Now, we already know that:
Profit = SP - Cost
This part is the catch. To find out how much Item X originally cost,
Cost = SP - Profit = x - 0.25x = 0.75x
Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:
= (Profit/Cost)*100
= (0.25x/0.75x)*100
= 33%
And there you have it. Hope I explained it clear enough.
Answer:
Step-by-step explanation:
Cost price = CP = ₹ 25,000
Profit% = 25%
Selling price = SP
[tex]SP =\dfrac{100+profit}{100}*CP\\\\\\=\dfrac{100+25}{100}*25000\\\\=\dfrac{125}{100}*25000[/tex]
= 125 * 250
= ₹31250
Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal
Answers
Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425
Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).
How do you solve fractions step by step?
Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10
a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
0.7/1 = 7/10
Note: 7/10 is called a decimal fraction.
c) Simplify and reduce the fraction
7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1
Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus four minus seven tenths = minus forty-seven tenths.
Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.
Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.
he difference of 29 and n
Answers
Answer:
absolute value of n - 29
Step-by-step explanation:
n - 29
Out of the four benefits of direct deposit (safety, convenience, quick access to money, increased savings), which is the MOST compelling? Why?
Answers
Answer:
Step-by-step explanation:
What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic
Answers
Answer:
A.
Step-by-step explanation:
Cubic because the highest exponent is 3.
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.
What are polynomials forms?Generally, polynomials take the form,
P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z
where:
a, b....= arbitrary constants
x = variable
n = highest power of the variable in the polynomial
The given polynomial is P(x) = x^3−1
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.
Cubic function is one that has the highest exponent is 3.
Hence, option A is correct.
Read more about this concept;
brainly.com/question/2706981
#SPJ5
When considering order of operations (PEMDAS), addition will ALWAYS come before subtraction.
True
False
Answers
Parenthises
Exponent
Multiply
Divide
Add
Subtract
The answer is true because it comes before subtraction in the phrase PEMDAS.
Answer:
true
Step-by-step explanation:
please
excuse
my
dear
aunt
sally
aunt is the addition while sally is subtraction therefore it is true hope this helps!! :D
Sau một thời gian sử dụng, một tủ sách nghệ thuật đã có dấu hiệu bị xuống cấp và
cần sửa lại (xem hình vẽ). Các ngăn BC, DE và FG gỗ bị
mục và cần thay mới. Chủ nhà sách cần 3 miếng ván sao
cho khớp với các vị trí này. Em hãy giúp chủ nhà sách
tính toán chiều dài các miếng ván này sao cho khớp với
các vị trí cần thay thế. Biết ngăn HI=12 dm. Tính chiều
dài các ngăn BC;DE;FG
Answers
Answer:
Step-by-step explanation:
At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?
Answers
Answer:
$306
Step-by-step explanation:
Adult cost = no of adult × adult cost
no of adult = 12
adult tickets cost = $8
= 12 x $8
= $96
kids cost = no of kids x kids tickets cost
no of kids = 42
kids tickets cost = $5
= 42 x $5
= $210
total sales for the theatre =$96 +$210
= $306
Anna's car can go 180 miles on 5 gallons of gas. During a drive last weekend. Ann used 8 gallons of gas. How far did she drive?
Answers
Answer:
Ann drove miles
Step-by-step explanation:
You have to do 180 / 5 = 36 wich is how many miles is in 1 gallon
Then you do 36x8 = 288
Hope this helps !!
Have a blessed day <333
Just divide 180 by 5, which is 36, then multiply it by 8
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
1.) 1 ,2, 31, 62
2.) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1.) 1x62= 62
2x31= 62
31x2= 62
62x1=62
Each of these number are a multiple of 62.
2.) 1x45=45
3x15=45
5x9= 45
9x5= 45
3.) 420÷2= 210
420÷3= 140
420÷5= 84
420÷6= 70
420÷9= 46.667 This number is not a multiple of 420 because the answer is in decimals which means 9 is not divisible by 420
540÷2= 270
540÷3= 180
540÷5= 108
540÷6= 90
540÷9= 60
540÷10= 54
2, 3, 5, 6, 9 and 10 is divisible by all of these numbers
Answer:
1) 1 ,2, 31, 62
2) 1, 3, 5, 9
3.) 540
Step-by-step explanation:
1) 62 would be divisible by 2 because its an even number, and if you split 62 in half, you would get 31.
2) 4+5 = 9. 3 and 9 are both divisible by 9, and 5 is divisible by 5.
3) All of the numbers are divisible by 10, 5, and 2 in the list. 250 is not divisible by 3, so we can take it off the list. The rest of the numbers are all divisible by 6. All we have left is 9. Both 420 and 510 add their values up to 6, which is not divisible by 9. That leaves us with 540 as our answer.
-kiniwih426
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs.
Answers
equation: 3x + 2.06 = 5.06
x = 1
Step-by-step explanation:
The cost of each bottle is $1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.
The total cost before tax was $5.06.
let the cost of one juice bottle be x.
So, the equation is
2.06 + 3x = 5.06
3x = 5.06 - 2.06
3x= 3
x= 1
Hence, the cost of each bottle is $1.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ6
PLEASE HELP ME I DONT GET THIS..
Answers
Hopes this help
What could be the possible one's digit of the square root of 3721 ?
3 , 4
1 , 9
6 , 7
7 , 8
Answers
Answer:
6,1 because 61's square root is 3721
A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bounce.
Select EACH true statement about the scenario.
[] The function represents a geometric sequence.
[] The first term in the sequence is 300.
[] The height of the ball after the first bounce is 300 cm.
[] The ball is dropped from a height of 300 cm.
*Multiple Choice*
Answers
The true statements about the scenario are;
The function represents a geometric sequence. The first term in the sequence is 300.The standard form of a geometric sequence is expressed as:
[tex]Tn = ar^{n-1}[/tex]
a is the first term
r is the common ratio
n is the number of terms
Given the expression [tex]h(n)=300(\frac{3}{4} )^{n-1}[/tex]
Compare and contrast
a = 300
This shows that the first term of the sequence is 300.
Also, a function represents a geometric sequence
Hence the true statements about the scenario are;
The function represents a geometric sequence. The first term in the sequence is 300.Learn more here: https://brainly.com/question/9300199
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Please show your work)
Answers
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (14,4)² - 9²
x² = 207,36 - 81
x² = 126,36
x = 11,2
Pls help!!! Will mark brainliest!! links will be reported.
Answers
I hope this is the right answer and if it's not then my apologies.
And sorry it took so long.
HELPPPPP PLEASEEEEEEEEEEE
Answers
Answer:
60 students are divided into equal groups of 5 student each.
Groups of 5 students per group totaled up to 60 students.
The quotient in both expression is 60:5 = 12 students per group.
Step-by-step explanation:
The ratio expression is a way of expressing the division of numerator by a denominator.
Here,
The total number of students is the numerator = 60
The denominator is the number of students per group = 5
Hence, the quotient is the value of the divison obtained which is (60/2) = 12
Therefore, there are 12 groups of 5 students.
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answers
According to question
7x-4x =57
3x =57
X=57/3
X=19
So the numbers are
7x=7*19=133
4x=4*19=76
if someone writes "/" does it mean Division or a Fraction Line
Answers
Solve the following equation: -5 = 15x
Answers
Answer:
x=-3.33
Step-by-step explanation:
-5=15x
x=-5/15
x=-3.33
Answer:
x=negative [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
15x=-5
\frac{15x}{15}=\frac{-5}{15}
x=-\frac{1}{3}
Pls help me !!!!!! With question number one
1. Angelica is five years less than double Jaheim’s age . Jaheim is 14years old . How many years old is Angelica
Answers
Answer:
23
Step-by-step explanation:
14x2=28-5=23
Answer:
23
Step-by-step explanation:
add 14+14= 28-5=23
In football, the path that a defender must run to tackle the ball carrier is called the path of pursuit. If the ball carrier runs 40 yards to the end zone and the path of pursuit is 45 yards, how far apart were the ball carrier and defender when they started? Answer with appropriate precision. (Hint: Use the Pythagorean Theorem.)
Answers
Answer:
Step-by-step explanation:
The ball carrier and defender were 20.62 ft apart
Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.
x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.
From Pythagoras' theorem,
x² + L² = y²
So, L² = y² - x²
L = √(y² - x²)
Since x = 40 yards and y = 45 yards,
#substituting the values of the variables into the equation, we have
L = √(y² - x²)
L = √(45² - 40²)
L = √(2025 - 1600)
L = √425
L = 20.62 ft
So, the ball carrier and defender were 20.62 ft apart
Learn more about Pythagoras' theorem here:
https://brainly.com/question/23713139
A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10
-6
meters (m),
and 1 nanometer (nm) is equal to 10-9m, then how many nanometers wide is a human hair?
A
0.0004 nm
B
0.004 nm
C
4,000 nm
D
40,000 nm
Answers
Answer:
D 40,000nm
Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um
Therefore in 40 microns there are:
40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm
The human hair is 40,000 nanometers wide.
Option D is the correct answer.
Given,
A human hair is approximately 40 microns (um) wide.
1 um is equal to [tex]10^{-6}[/tex] meters (m)
1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.
We need to find how many nanometers wide is human hair.
How do we add exponents?We can add the exponents if we have the same base.
Example:
a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]
[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]
We have,
Human hair = 40 microns (um) wide.
And,
1 um = [tex]10^{-6}[/tex] m
1 nm = [tex]10^{-9}[/tex] m
[tex]10^{-9}[/tex] m = 1 nm
Multiplying by 10³ on both sides.
[tex]10^{-9}[/tex] x 10³ = 10³ nm
[tex]10^{(-9+3)}[/tex] = 10³ nm
[tex]10^{-6}[/tex] m = 10³ nm
1 um = [tex]10^{-6}[/tex]m
1 um = 10³ nm
Human hair = 40 um
1 um = 10³ nm
Multiplying 40 on both sides.
40 x 1 um = 40 x 10³ nm
40 um = 40 x 1000 nm
40 um = 40,000 nm
Thus human hair is 40,000 nanometers wide.
Learn more about the conversion of microns to nanometers here:
https://brainly.com/question/14663277
#SPJ2
Find the missing length to the nearest tenth. Look at the shape.
Answers
A^2+b^2=c^2
16+64=c^2
80=c^2
c= sqrt80
=8.94 approx
Answer: [tex]4\sqrt{5}[/tex]/9.0
Step-by-step explanation:
Simple way: Pythagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
C being hypotenuse. A and B are bases that are interchangeable.
In this question, you are missing the hypotenuse.
a= 8, b=4 c=?
[tex]8^{2}+4^{2}=c^{2}[/tex]
[tex]64+16=c^{2}[/tex]
To get rid of [tex]c^{2}[/tex]. Square both sides.
[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]
[tex]\sqrt{80}=c[/tex]
Simplify [tex]\sqrt{80}[/tex]
[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]
or 9.0
HELP GRAPH THE LINE THAT REPRESENTS THIS EQUATION
y +2 = 1/2(x +2)
Answers
Answer:
Step-by-step explanation:
Translate the blue shape to the pink shape...
help me quick please
Answers
Answer:
I can't help you if there's no picture lol
What is the end of your proof? (What are you proving?)
Answers
Answer
with
Step-by-step explanation:
Statement Reasons
1.∠1 ≅ 4 Given
2.∠1 = ∠2 Being Vertically opposite angles.
3.∠4 = ∠3 Being Vertically opposite angles.
4.∠2 = 3 From Statement no 2 & 3, Transitive property.
5.∠2 ≅ 3 From Statement 4
Proved.