The system of equations that models the given scenario is t + u = 9 and 10t + u = 10u + t - 9.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
The answer would be "t + u = 9 and 10t + u = 10u + t - 9".
This can be found if you replaced t with 4 and u with 5.
Adding the 2 digits would give you 9.
Use the formula "10t + u = 10u + t - 9".
Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which makes the statement true.
Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.
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find the area of the shaded region
Answer:
40
Step-by-step explanation:
8x4 is 32 and to find a triangle is Length x Hight devided by 2.
Find the value of a5
Answer:
20
Step-by-step explanation:
The equation represent y as a function of x. Identify the slope and y-intercept for this linear function.
y = 8-3x
Slope =
y-Intercept =
Answer:
y= 8
Step-by-step explanation:
y = 8 - 3x
y = 8-3*0
y = 8
Given equation is
[tex]y = 8 - 3x[/tex]
we need to identify the slope and y intercept of this function.
We know that standard form of slope intercept form as
[tex]y = mx + c[/tex]
where ,
m is slopec is y interceptWe can convert the given equation into standard form as ,
[tex]\longrightarrow y = -3x + 8 [/tex]
On comparing to the standard form, we have ;
[tex]m = - 3[/tex][tex]c = 8[/tex]And we are done!
What is the equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4)? enter your answer in the box.
The equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4) is 4x+3y = 24
The standard form of equation of line is y=m x+ b
where m is slope of line and b is y-intercept.
According to the question,
The required line is parallel to line whose equation is 4x + 3y = 12
Slope of given line =
3y = 12 - 4x
dividing by 3 both sides,
y = 12/3 - 4/3x
=> y = 4 - 4/3x
Slope of given line = -4/3
If two lines are parallel their slopes are equal to each other
Hence , Slope of required line : m = -4/3
Equation of line : y = -4/3x + b ------------(1)
It is given that required line also passes through the point = (3,4)
substituting the values of x = 3 and y=4 in equation (1)
=> (4) = (-4/3)(3) + b
=> 4 = -4 +b
=> b = 8
Substituting the value of b,
The equation of required line is y = -4/3x + 8
multiplying by 3 both sides,
3y = -4x + 24
=> 4x+3y = 24
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Factor the polynomial function.
G(W) = -125w² +180
By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.
Define polynomial function.In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. f(x) = anxn + anxn+1 +... + a² + a¹x + a⁰ is the formula for a polynomial. The greatest power of x in an expression is the polynomial's degree. Polynomials of degree 0, 1, 2, 3, and 4 are constant (non-zero) polynomials, linear polynomials, quadratics, cubics, and quartics, respectively.
Given,
Polynomial function,
-125w² + 180 = 0
-125w² = -180
w² = 180/125
w² = 1.44
Squaring,
w = √1.44
w = 1.2
By factoring the polynomial function, G(W) = -125w² +180 we get w = 1.2.
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given a1= -5 and an=an-1+3 what are the first 4 terms of the sequence
The first 4 terms of the sequence are -5, -2, 1, 4
What is a sequence?
A sequence is a predetermined arrangement of connected actions, occurrences, or objects that occur after one another. A sequence is an ordered collection of enumerated objects in mathematics where repeats are permitted. A sequence can also be seen as a set as it contains members as well.
Solution Explained:
Given,
[tex]a_{1} = -5\\a_{n} = a_{n-1} + 3[/tex]
Assuming n ≥ 2, we get
[tex]a_{2} = a_{n-1} + 3\\a_{2} = a_{2-1} + 3 \\a_{2} = a_{1} + 3\\a_{2} = -5 + 3\\a_{2} = -2[/tex]
[tex]a_{3} = a_{n-1} + 3\\a_{3} = a_{3-1} + 3 \\a_{3} = a_{2} + 3\\a_{3} = -2 + 3\\a_{3} = 1[/tex]
[tex]a_{4} = a_{n-1} + 3\\a_{4} = a_{4-1} + 3 \\a_{4} = a_{3} + 3\\a_{4} = 1 + 3\\a_{4} = 4[/tex]
Hence, the first 4 terms of the sequence are -5, -2, 1, 4
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X^3+5x factored form
Answer:
[tex]x(x^{2}[/tex] + [tex]5)[/tex]
Step-by-step explanation:
[tex]Factor ( x^{3}[/tex] + [tex]5x )[/tex]
[tex]x^{3}[/tex] + [tex]5x[/tex]
= [tex]x(x^{2}[/tex] + [tex]5)[/tex]
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Rise and shine How long before school starts do students get out of bed, on average? Administrators survey a random sample of students on each school bus one morning. Give a reason why this survey might yield a biased result. Explain the likely direction of the bias
Answer: when it is morning time to get up and you put your clothes and your shoe and your backpack and your coat and you wait for the bus
Step-by-step explanation:
The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
56.1 $107
60.3 $116
64.2 $120
66.4 $122
71.3 $125
73.9 $130
74.2 $132
75.2 $135
80.1 $141
84.8 $152
What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
6.3
4.2
2.8
1.4
The slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales, is of:
1.4.
How to obtain the line of best fit?The line of best fit is obtained inserting the points of data, given either in a table or in a scatter plot, in a linear regression calculator.
The format of the line of best fit is the same as of a standard linear function, as follows:
y = mx + b.
In which the parameters are given as follows:
m represents the slope.b represents the y-intercept.For this problem, the points are given as follows:
(56.1, 107), (60.3, 116), (64.2, 120), (66.4, 122), (71.3, 125), (73.9, 130), (74.2, 132), (75.2, 135), (80.2, 141), (84.8, 151).
Inserting these points into a calculator, the equation is presented as follows:
y = 1.4x + 26.8.
Hence the slope of the function is of:
m = 1.4.
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23.35 divided by 27.65
round answer in 2 decimal places
Answer:
0.84
Step-by-step explanation:
23.35 divided by 27.65 = 0.84448462929
Rounded to the first 2 decimal places would be:
0.84
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 15 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
Step-by-step explanation:
[tex]\frac{23.35}{27.65} \approx{0.84}\\[/tex]
Please help with questions. Thank you.
Answer:
2. 29°
3. 62°
4. 3
Step-by-step explanation:
Question 2
Interior angles of a triangle sum to 180°.
⇒ x + 57° + 94° = 180°
⇒ x + 151° = 180°
⇒ x + 151° - 151° = 180° - 151°
⇒ x = 29°
Question 3
Interior angles of a triangle sum to 180°.
⇒ x + 31° + 87° = 180°
⇒ x + 118° = 180°
⇒ x + 118° - 118° = 180° - 118°
⇒ x = 62°
Question 4
The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.
⇒ (10x + 2)° = (2x + 1)° + 25°
⇒ 10x + 2 = 2x + 1 + 25
⇒ 10x + 2 = 2x + 26
⇒ 10x + 2 - 2x = 2x + 26 - 2x
⇒ 8x + 2 = 26
⇒ 8x + 2 - 2 = 26 - 2
⇒ 8x = 24
⇒ 8x ÷ 8 = 24 ÷ 8
⇒ x = 3
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Using the equation of the model:
a. 7.8 billions of pounds
b. 9.8 billions of pounds.
How to Apply an Equation for a Given Model?In the above problem given, the equation, y = 7.1(1.03)^x models the cheese production in the country, where:
x = number of years after 2003y = amount of cheese produced in billion poundsa. 2006 after 2003 is 3 years. Substitute x = 3 into the equation, y = 7.1(1.03)^x:
y = 7.1(1.03)^3
y = 7.8
Total cheese produced in 2003 was about: 7.8 billions of pounds
b. 2014 after 2003 is 11 years. Substitute x = 11 into the equation, y = 7.1(1.03)^x:
y = 7.1(1.03)^11
y = 9.8
Total cheese that would be produced in 2014 will be about: 9.8 billions of pounds.
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which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x 13y
The constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The equations are
5x+13y = 232
12x + 7y = 218
Here we can cancel both x term and y terms, lets choose x terms and apply the elimination method
The coefficient of x in first equation is 5 and 12 in second equation
We have to make it same
Prime factorization
5 = 5×1
12 = 2×2×3
LCM (5, 12 ) = 2×2×3×5 = 60
Multiply the first equation by 12 and second equation by 5
60x + 156y = 2784
60x + 35y = 1090
Subtract equation 2 from equation 1
121y = 1694
Here we have eliminated x term
Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The complete question is:
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232
12x + 7y = 218
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A recipe uses 300300300 grams of flour for every 200200200 grams of sugar. 1. Write an equation that represents how many grams of flour we need (fff) for some number of grams of sugar (sss).
Ratio is always written as x/y where y can never be zero.
Grams of flour needed for every 200200200 and grams of sugar = 300300300 grams
The equation that represents how many grams of flour we need for some grams of sugar is fff = 222/333
Let’s assume fff as grams of flour and sss as grams of sugar.
So, the ratio for grams of flour:grams of sugar will be,
= fff:sss = 200200200:300300300
Hence, fff = 222/333 × sss
Ratio is a comparison between two things where it tells how much one thing contains the other thing.
Hence the answer is, Ratio is always written as x/y where y can never be zero.
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Answer:
your equation is f = 3/2s so you're going to have to need 750 grams of flour for 500 grams of flour
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Joe has 10 bills in his wallet. The total amount of money is $34, and he has only $1 and $5 bills. If Joe has two more $5 bills than $1 bills, find the number of each type of bill that he has in his wallet. Use a system of equations to find the answer.
Answer:
Joe has 6 $5 bills and 4 $1 bills.
Step-by-step explanation:
Joe has 10 bills, $1 and $5, so:
x + y = 10Joe has a total of $34, so:
x + 5y = 34Substitution can be used between the two equations to achieve the answer.
x + y = 10x + 5y = 34Isolate x on one side in line 2: x = 34 - 5yUse substitution and plug the x we just found into the equation in line 1(34 - 5y) + y = 1034 - 5y + y = 1034 - 4y = 10-4y = -24y = 6Plug y = 6 into the equation in line 1 to find xx + 6 = 10x = 4Check to make sure it works4 + 6 = 104 + 5(6) = 4 + 30 = 346 - 4 = 2 (There are two more $5 bills than $1 bills)Cannot figure it out.
Answer:
D -6x + 2 = -15
Step-by-step explanation:
-4(3/2 x - 1/2) = -15
-4 × 3/2 x + (-4) × (-1/2) = -15
-6x + 2 = -15
Answer: D -6x + 2 = -15
93 is what percent of 775?
Answer: 12%
Step-by-step explanation:
Answer: 12%
...............................
help me 20 point if you do
Answer: rotate 180° and translate down.
Step-by-step explanation:
hope this helps!
please give brainliest!
Rotating angle 1 by 180° would leave it in the position of angle 4. From there, you can translate it directly down onto angle 8. This will prove congruency.
The quantities x and y are in a proportional relationship.
What do you know about the ratio of y to x for any point (x, y) on the line?
Answer: constant of proportionality
Explanation: Assuming that we have two proportional quantities; one is x and one is y. If you know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.
Can someone help me really quick
(Please Explain how you know this is correct.)
please answer this question
Answer:
a) 10 ; scale factor is 2
b) 15; scale factor 5
c) 1.5; scale factor is ½ or 0.5
d) 6.3; scale factor is 3
e) 24, 2; scale factor is ⅛ 0.125
f) 4.6, 9; scale factor 3⅕ or 3.2
Step-by-step explanation:
a) to get form your first term to the corepnoding term you have to divide the first term form your second term for example 6÷3 is 2 so 2 is the scale factor. You multiply 5 by 2 so 5×2 is 10 the blank is 10
b,d and f) Do the same step process like what you do for letter a to get these terms
c and e) Do the same steps as a but keep in mind that because the number in the second term are smaller the scale factor is less then 1 so for c it would be ½ as opposed to 2 since the new number is smaller
It’s exactly 2 pm. On a standard clock, how many degrees are in the angle between the hour and minute hand?.
Angle between hour hand and minutes hand is 60 degrees.
What is angle ?
An angle is a shape created by two rays or lines that have a shared termination.
Main Body:
As a clock is complete circle , total angle created by it is 360 degrees.
Numbers of hours in a clock = 12
Angle created by 1 hour = total angle / total no. of hours
= 360/12
= 30 degrees.
Now according to the question total hours = 2
multiplying 2 with degrees between 1 hour hand and minute hand.
Hence total angle created by hour and minute hand id 60 degrees.
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Melissa and Joe are playing a game with complex numbers. If Melissa has a score of
5 - 4i and Joe's score is the conjugate of 3+ 2i, what is their total score?
M = 5 - 4i
J = 3 + 2i
J* = -3 + 2i (Conjugate)
Therefore M + J*
= (5 + -3) + (-4i + 2i)
= 2 - 2i
What is the image of the point (4,0) after a rotation of 90 counterclockwise about the origin ?
Answer:
The image point of (4,0) after the rotation of 90° counterclockwise about the origin is (-4,0)
the soccer team ratio of games won to games played was 3 to 8 if the team played 56 games how many did they win
They won 168/11 games.
From the question, we have
Ratio = 3:8
team played = 56 games
Won = 56*3/11
=168/11
=15.27
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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the radius, r, of the base of a right circular cone is 4 centimeters, and the slant height, l, is 15 centimeters. what is the surface area of the cone?
188.4 cm² is the surface area of the cone .
What is known as a cone?
A cone is a three-dimensional geometric object with a smooth transition from a flat, usually circular base to the apex, also known as the vertex.In mathematics, a cone is a recognizable three-dimensional geometric shape having a smooth and curving surface pointing upward. The word "cone" comes from the Greek word "konos," which denotes a peak or a wedge. The base is the flat area, while the pointy end is referred to as the apex.given r = 4 cm
l = 15 cm
the curved surface area = πrl
= 3.14 * 4 * 15
= 188.4 cm²
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Answer: 76 cm2
Step-by-step explanation:
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An 8-cup container of window cleaner costs $6.00. What is the price per pint?
Answer:
Step-by-step explanation:
0.75
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g suppose the eigenvalues are real, distinct, and non-zero. [i] if both eigenvalues were positive, how would the equilibrium at (0, 0) be classified?
As previously stated, a system will not be stable if its eigenvalues have any non-negative real parts, the system will be unstable if an eigenvalue has no imaginary part and is equal to zero. A trivial instance of the complex eigenvalue with a zero component exists here.
When both eigenvalues are zero, what takes place?
A zero eigenvalue implies the network being referred to is particular.The null space of the matrix is based on the eigenvectors that correspond to the zero eigenvalues.
When one eigenvalue is zero, what does this mean?
If and only if A is not invertible, then the number 0 is an eigenvalue of A.
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a simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size of being selected.
A simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size the same probability of being selected.
As we know that,
A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same chance of being chosen.
So n has the same probability of being selected.
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The right question is
A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size
n has a probability of 0.5 of being selected.
n has the same probability of being selected.
N and n have the same probability of being selected.
n has a probability of 0.05 of being selected.
QR is a midsegment of triangle BCD. Solve for the value of x.
The value of x when QR is a midsegment of triangle BCD is 11 units.
According to the question,
We have the following information:
QR is a midsegment of triangle BCD.
Now, we know that the length of midsegment of any triangle is equal to half of the length of side corresponding to the midsegment.
So, we have the following expression:
QR = BD/2
Putting the values of QR and BD from the figure:
x-2 = (x+7)/2
Using the cross multiplication method:
2x-4 = x+7
Moving x from the right hand side to the left hand side:
2x-x = 7+4
x = 11 units
Hence, the value of x when QR is a midsegment of triangle BCD is 11 units.
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