Answers
Answer:
2x + 4y = 28
-2y = x + 28
Step-by-step explanation:
Looking at the graph, we can see that the lines do not intersect. Therefore, they do not have a shared solution. We need to find the system of equations that does not have a solution.
1) Let's try to solve the third system given (counting from the top). To solve with the substitution method, we need to isolate one variable in one of the equations. I chose to isolate y in -2y = x + 28:
[tex]-2y = x + 28\\y = \frac{-1}{2}x -14[/tex]
2) Now that we've isolated the y in that equation, substitute what y equals in that equation for the y in the other equation. So, substitute [tex]\frac{-1}{2}x-14[/tex] for y in 2x + 4y = 28 and simplify:
[tex]2x + 4(\frac{-1}{2}x - 14) = 28\\2x - 2x- 64 = 28\\-64 = 28[/tex]
In a normal situation, the x's would not cancel out, and we would be able to isolate x to get the x-value of the solution. However, in this case, they have, and we ended up with a false statement, as -64 does not equal 28. Whenever this happens, it means the system does not have a solution. Therefore, the third option would represent the system in the graph.
The given graph shows the simultaneous relationship of equations 2x + 4y = 28 and -2y = x + 28. Option C is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
From the graph, the two lines represents the simultaneous relationship,
Where,
The slope of the both lines is,
m = -1/2
And y-intercept of both lines is,
C₁ = 7 and C₂ = - 14
Now,
equations of the lines are,
y = -x/2 + 7 and y = -x/2 - 14
x + 2y = 14 and x + 2y = -28
or
2x + 4y = 28 - - - - - -(1) and -2y = x + 28 - - - - - - -(2)
Now,
From equation 2 substitute y in equation 1
2x + 4[-x - 28]/2= 28
2x - 2x - 56 = 28
-56 = 28
So the lines are parallel and has no solution.
Thus, the given graph shows the simultaneous relationship of equations 2x + 4y = 28 and -2y = x + 28. Option C is correct.
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Related Questions
a bakery used 25% less butter this month than last month.
The bakery used 240 kilograms of butter this month.
How much did it use last month?
Answers
Answer:
300kg
Step-by-step explanation:
Can someone help me with this please
Answers
Answer:
the picture is upside down
Step-by-step explanation:
The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
A. How many different lunches are possible.
B. What is the probability that the lunch special of the day is ham on rye with tea?
Please Help With Both Answers - I Will Give BRAINLIEST, and 50 points.
Answers
Total combinations are found by multiplying the quantities of each part by each other.
3 kinds of meat x 2 types of bread x 3 types of drinks
A) total combinations = 3 x 2 x 3 = 18
B) there are 18 different combinations, ham in rye with tea is 1 combination.
The probability would be 1/18
PLEASE I NEED ANSWERS FAST ILL GIVE BRAINLIEST
Answers
Answer:
4. C: 98 degrees because the angles are consecutive angles
5. E: None of the above
Explanation: 102 degrees because the angles are corresponding angles
6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.
Step-by-step explanation:
Answer:
4. C, 5. E, 6. C
Step-by-step explanation:
4.
Angles x and 82 degrees are supplementary (add up to 180).
x = 180 - 82 = 98
These angles are consecutive interior angles (they're on the inside).
5.
Angles x and 102 degrees are the exact same.
These angles are corresponding angles. So it's none of these, not vertical or alternate interior.
6.
103 degrees is vertical to <b and <b is corresponding to <x.
Hope this helps!
Two less than the sum of a number and six is equal to the product of
the number and three. What is the number?
Answers
Let's use the variable, x, to represent the unknown number.
We can represent the words, "the sum of a number and six, as : x + 6
The words, " 2 less than the sum", can be represented as: x + 6 - 2
The words, "the product of the number and three", can be written as: 3x
Now create an equation using "is equal to" to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 - x = 3x - x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2
Convert the following repeating decimal into a fraction
_
0.16
Answers
Answer: 0.16 converted to a fraction is 4/25
a frame holds a picture that is 15 inches long and x inches wide. The frame border is 3 inches wide around the picture. what expression represents the are of the frame border
Answers
9514 1404 393
Answer:
border area = 6x +126
Step-by-step explanation:
The dimensions of the picture with its frame will be ...
(15 +2×3) long by (x +2×3) wide
The border area is the difference between the picture overall frame area and the picture area:
border area = (15+6)(x+6) -(15x) = 21x +126 -15x
border area = 6x +126
Answer:
hvjv
Step-by-step explanation:
Help me please and I’ll give you a Brainly star!
Answers
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?
A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities
Answers
Answer:
The correct answer is C. Renovation and Maintencance costs
Step-by-step explanation:
#Plato :)
The major cost of her investment would be C. Renovation and Maintencance costs.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.
The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.
Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.
The major cost of her investment would be C. Renovation and Maintencance costs.
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What is the x-coordinate of point B? Write a decimal coordinate.
ch
.
B
3
2
1 2 3 4 5 x
-5 4 3 2 1
2+
3t
PLS ANSWEE
Answers
The difference between the x-coordinate of point A and the x-coordinate of point B is -9
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that,
the point B: (14,4)
and Point A: (5,4).
The x coordinate of B is 14 while that of A is 5.
so, we get,
if the difference is x units,
then it can be expressed as equation,
x = 5 - 14
now,
The difference between the x-coordinate of point A and the x-coordinate of point B is
= 5 - 14
= -9
Hence, The difference between the x-coordinate of point A and the x-coordinate of point B is -9
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Complete question:
Point B: (14,4)Point A: (5,4)What is the difference between the x-coordinate of point A and the x-coordinate of point B?
(2x-4)+(5x-13)+(x+4)
Answers
Answer:
the answer is going to be 8x-13
Answer:
8x-13
Step-by-step explanation:
Combine all like terms
2x+5x+x=8x
-4-13+4=-13
8x-13
What would be the correct order of operations to evaluate the following expression?
Multiply, Multiply, Add, Subtract
Multiply, Add, Subtract, Subtract
Multiply, Subtract, Add, Add
Multiply, Subtract, Add, Subtract
Answers
Answer:
d or 4Step-by-step explanation:
Answer:
Multiply,Subtract,Add,Subtract
Step-by-step explanation: Easy, just think
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answers
Answer:
x+-3
Step-by-step explanation:
The diameter of the circle above is 20 cm. What is the circumference of the circle? (Use = 3.14.)
Answers
Step-by-step explanation:
diameter=20/2,radius=10
circumference of circle=2×pi×radius
circumference of circle=2×3.14×10
circumference of circle=62.8
Question 3
<
B0/2 pts
A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 20% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
Give answers accurate to at least one decimal place.
Question Help: Video Message instructor
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earch
Answers
Answer:
The best course grade your friend can earn is 0.848 = 84.8%.
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.
Step-by-step explanation:
This is a weighed average problem, in which we multiply each grade by its weight.
We have that:
In 80% of the course, the friend has a grade of 81%.
In the other 20%, he will have x.
What is the best course grade your friend can earn?
This will happen if he earns 100% = 1 on the final test. So
[tex]G = 0.8*0.81 + 0.2*1 = 0.848[/tex]
The best course grade your friend can earn is 0.848 = 84.8%.
What is the minimum score would your friend would need on the final to earn a 75% for the course?
This is x, when the grade is 0.75. So
[tex]0.75 = 0.8*0.81 + 0.2x[/tex]
[tex]0.2x = 0.75 - 0.8*0.81[/tex]
[tex]x = \frac{0.75 - 0.8*0.81}{0.2}[/tex]
[tex]x = 0.51[/tex]
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.
Compare the values.
9 × 10^2 is _____ times as much as 3 x 10^-2.
A) 6 x 10^4
B) 3 x 10^-4
C) 3 x 10^4
D) 6 x 10^0
please i need help **Will mark BRAINLIEST**
Answers
Which statement about 4(x-3) is true?
O A. 4(x-3) has three terms.
OB. 4(x-3) is a sum.
O C. 4(x - 3) is a product.
O D. 4(x-3) has two variables.
Answers
4(x-3) cannot be a product or a sum as it is not simplified or finished, it is still missing a number. It cannot be D as it has three variables.
I deeply apologize if that is wrong but to my understanding your answer is A.
which ratio is equivalent to 4:5
10/15
4/10
16/20
15/8
Answers
Answer:
16/20
Step-by-step explanation:
16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5
Explanation: I just know
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!
Answers
1/8 y < -4
8*(1/8y)< (-4)*8
Y < -32
how many miles does a runner travel in a 10-kilometer run? (1 mile = 1.6 km)
Answers
Answer:
6.25 miles
Step-by-step explanation:
To find how many miles they ran, divide the number of kilometers by 1.6
10/1.6
= 6.25
So, they ran 6.25 miles
what is 8 divided by 874.....for my little sister
Answers
A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120
Answers
Answer:
ne hamla que estas no habla espanol
Step-by-step explanation:
que
A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and yellow
paint are needed to make 21 pints of the green paint?
Answers
Answer:
[tex]Blue = 12[/tex]
[tex]Yellow = 9[/tex]
Step-by-step explanation:
Given
[tex]Blue : Yellow = 4 : 3[/tex]
Required
Determine the number of pints of each to make 21 of green paints
First, calculate the total ratio.
[tex]Total = 4 + 3[/tex]
[tex]Total = 7[/tex]
The blue and the yellow pint can be represented individually as:
[tex]Blue = \frac{4}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
Number of blue paint calculated last week is:
[tex]Blue = \frac{4}{7} * 21[/tex]
[tex]Blue = {4} * 3[/tex]
[tex]Blue = 12[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * 21[/tex]
[tex]Yellow = {3} * 3[/tex]
[tex]Yellow = 9[/tex]
I will give brainiest to whoever answers correctly !!
Answers
Answer:
a) $1.40 b) $9.35 c) $57.50
Step-by-step explanation:
a) The tax on the burger will be 3% of the cost of the burger.
This means 0.03 of 46.75 (0.03 x 46.75) = $1.40 tax
b) 20% of pre tax bill as tip would be:
0.20 of 46.75 (0.20 x 46.75) = $9.35 tip
c)Total cost of dinner including tax and tip would be:
Original Cost + Tax + Tip
= 46.75 + 1.40 + 9.35
= $57.50 total
Solve the equation 8b+7 (2b + 4) = 94
b= ltype your answer...
Answers
Answer:
b = 3
Step-by-step explanation:
Steve began a baseball card collection by purchasing some cards. He increased the number of cards in the collection by a constant amount each week after that. The table below shows the total number of cards in the collection at the end of several weeks. How many cards did Steve initially purchase to begin his collection
Answers
Answer:95
Step-by-step explanation:
95x3=285
There are 95 cards did Steve initially purchase to begin his collection.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Steve began a baseball card collection by purchasing some cards.
And, He increased the number of cards in the collection by a constant amount each week after that.
Now, In 3 weeks he collect 285 cards.
Hence, Number of cards to collect in initially is,
⇒ 285/3
⇒ 95
Thus, There are 95 cards did Steve initially purchase to begin his collection.
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A bakery sells pastries in boxes of 7 each. If the bakery has 27 pastries, how many boxes can be filled?
Answers
Answer:
3 with a few left over so 4
Step-by-step explanation:
An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Write a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer.
Answers
Answer:
Statistics can help solving data quantitative analysis data.
Step-by-step explanation:
Statistics can help solving data quantitative analysis data.
Examples of questions, that statistics can help provide answers to
What is the measure of central tendency, that is representative of entire statistical data.Ans : It can be found out by calculating mean , median , mode
How widely dispersed or spread off is the dataAns : It can be found out by calculating standard deviation, variance
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?
Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.
What is Statistics?Statistics involves the collection, collation, analysis, and interpretation of data to form valid conclusions about problems and give answers to questions raised.We have descriptive and inferential statistics as the two types of statistics.For descriptive statistics, frequency count and percentage can be used to describe the socio-economic characteristics of a population.Therefore:
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.Learn more about statistics on:
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Dan says that all quadrilaterals are parallelograms. Tom says that it is not true. Explain who is correct??
Answers
Answer:
Tom is correct
Step-by-step explanation:
Quadrilaterals are polygons that have four sides.
Square, rectangle, parallelogram, kite, rhombus are all examples of quadrilateral
Parallelogram is a type of quadrilateral with opposite sides equal and parallel
A psychologist wants to know if the difficulty of a task influences our estimate of how long we spend working at it. She designs two sets of mazes that subjects can work through on a computer. Once set has easy mazes and the other has hard mazes. Subjects work until told to stop (after 6 minutes, but subjects do not know this). They are then asked to estimate how long they worked. The psychologist has 30 students available to serve as subjects.
Describe an experiment using a completely randomized design to learn the effect of difficulty on estimated time.
Answers
Solution :
It is given that a psychologist wants to determine the difficulty of the task influences on the estimate of how long people spend working on it.
Now we have to describe a experiment by using a completely randomized design and learn the effect of the difficulty on the estimated time is by randomly assigning 15 students to a Group 1 of easy mazes and other 15 students to the second group 2 of hard mazes. And then we compare the time estimates of the two groups.
