The question is in the picture I would appreciate if you could explain how to get the answer thank you.
Answers
The equation that is modeled to the situation is x - 2y + 2 = 0 and the slope of the line is 1/2.
The slope of an equation:
A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in determining if the lines are parallel, perpendicular, or none at all.
The slope intercept form of a line is y = mx + c
Where, c - y-intercept and m - the slope of the line
Given that
The cost of using the internet at an internet cafe is equal to a fee plus a certain rate per minute.
4 minutes of internet costs $ 3
8 minutes of internet costs $ 4
[ We can represent the given situation as given below ]
And the coordinates formed are (4, 3) and (8, 4)
The slope of the line formed = (4 - 3)/(8 - 4) = 1/4
Let y = mx + c be the equation to the model situation
=> y = (1/2)x + c
=> 2y = x + c ---- (1)
As we know (1) will pass through (4, 3)
=> 2(3) = 4 + c
=> 6 = 4 + c
=> c = 6 - 4
=> c = 2
=> 2y = x + 2
=> x - 2y + 2 = 0
Therefore,
The equation that is modeled to the situation is x - 2y + 2 = 0 and the slope of the line is 1/2.
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Related Questions
- 2 3/4-(-1 1/2)+(-5/6)-(3/8)-(+4 2/3)
Answers
Answer:
-57/8
Step-by-step explanation:
- 2 3/4 - (-1 1/2) + (-5/6) - (3/8) - (+4 2/3)
= -7.125
If a partical traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answers
A particle traveled a distance of 9.0×10¹² meters in 5.0 × 10⁷ seconds.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
If a particle traveled a distance of 9.0×10¹² meters at a rate of 1.8×10⁵meters per second.
And the distance,
= rate x time.
Rearranging the formula,
Time = Distance / rate
Time = 9.0×10¹² / 1.8×10⁵
Simplifying by using division operation,
Time = (9.0/1.8) × 10¹² × 10⁻⁵
Time = 5.0 × 10⁷
Therefore, the required specified time is 5.0 × 10⁷ seconds.
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PLEASE HELP!! WILL GIVE BRAINLIEST
What is the y-intercept of the line that goes through the points (5, -8) and (9, -12)
Answers
Answer:
-3
Step-by-step explanation:
Given the points, we can see that as x increases by 4, y decreases by 4, which means the slope is -1. Working backwards from (5, -8), we can decrease x by 5 (and thus increase y by 5, since we're subtracting a negative) and add that to -8 to find the y-intercept = -3
i have a question can yall help me
Answers
Answer:
yeah what is it
Step-by-step explanation:
We'll try our level best to help u ...
Please help me on this
Answers
Answer:
A) 226.9
Step-by-step explanation:
tan80=x/40
The teacher gave a true and false quiz where P(true) = 0.8 for each question. Interpret the likelihood that the first question will be true.
Likely
Unlikely
Equally likely and unlikely
Answers
Answer: 0.8 what?
Step-by-step explanation:
prolly likely
Find the greatest common factor of 21, 35, 49.
Answers
Answer:
You can use formulas for finding them but this is my best method.
Step-by-step explanation:
21=3×7
35=5×7
49=7×7
Finding the hcf or gcf you will first find the common numbers between all the prime factors which is 7.
Therefore gcf of 21,35 and 49 is 7
Is the second side “WY and ZY” or the other way around?
Answers
Answer:
yes it's wy =zy you may write it
How can you identify and write equivalent expressions?
Answers
You can identify equivalent expressions if one of the expressions can be written like the other and it is usually written by combining any like terms on each side of the equation such as x-terms with x-terms and constants with constants.
What is an Equivalent expression?These are the type of expressions that have similar value or worth but do not look the same.
This type of expression can be identified if one of the expressions can be written like the other and example can be seen below:
3(x + 3) and 3x + 9
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PLEASE PLEASE HELP!!
Need it by the end of the night!
4.
Kelly Waxman's annual salary is $30,000. She takes
a married exemption. Using the graduated income
tax rates in the figure on the right, find the annual
state tax withheld. (Section 2-3)
a. $1,877. 21
c. $1,877. 90
b. $2,159. 85
d. $1,662. 50
Personal Exemptions
Single
$1,500
Married
$3,000
Each Dependent
$ 750
State Tax
Annual Gross Pay Tax Rate
First $3,500
3%
Next $3,500
4. 5%
Over $7,000
7%
Answers
The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.
Therefore the answer is d) $1,662.50.
Here is the breakdown of the calculation:
Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000
The first $3,500 are taxed at 3%, which is
= 0.03×3500
= $105
The next $3,500 are taxed at 4.5%, which is
= 0.045×3500
= $157.50
The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is
= 0.07×20000
= $1,400
Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.
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3 Select the correct answer. Which value of x makes this equation true? -5(x-20)=35 A. -11 B. 13 C.27 D.-3
Answers
Next, we can add 5x to both sides of the equation to get: 100 = 35 + 5x
Then, we can subtract 35 from both sides of the equation to get: 65 = 5x
Finally, we can divide both sides of the equation by 5 to get: x = 13
Since the question asks for the value of x that makes the equation true, the correct answer is x = -3.
An online bookstore sells novels and magazines. Each novel sells for $5, and each magazine sells for $1. If Michelle purchased a total of 15 novels and magazines that have a combined selling price of $43, how many novels did she purchase?
She purchased __________.
(have to solve this using system of equations)
Answers
Answer:
Novels=7
Step-by-step explanation:
M + N = 15 equation 1
1M + 5N=43 equation 2
-M-N=-15 multiply equation 1 by -1
0 + 4N =28 add above 2 equations
N=7
check answer:
‘First, Solve for M
M+N=15
M+7=15
M=8
Then substitute values of M &N to check answers
M+5N=43
(8)+5(7)=43
8+35=43
43=43
A large univerity accept60 % of the tudent who apply. Of the tudent the univerity accept,45 % actually enroll. If 10000
tudent apply, how many actually enroll?
Answers
The university accepts 6000 students out of the 10000 that applied.
What is enrolled?Enrolled, in the context of education, is the process of registering a student with a school. The process typically requires a student to complete an application form and submit it to the school, along with any other required documents or fees. Once the student has been accepted and enrolled, they will be given a student ID number and will be able to access all the school's resources, such as classes and activities. In addition, the school may assign an advisor to the student to help them adjust to the school and plan out their academic path.
Of those 6000 accepted students, 45% will actually enroll, which is 2700 students. Therefore, of the 10000 students that applied, 2700 will actually enroll into the university.
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answers
Answer:
1/2
Step-by-step explanation:
-3x+5x-2>-4x+1
first, you will combine like terms. -3x+5x=2x.
2x-2>-4x+1
you need to move the variable to one side. So you will add 4x on both sides.
6x-2>1
You need to add 2.
6x>3.
Now you will divide both sides by 6 to get x by itself.
x> .5 or 1/2
pls barinliest
(2, -4) and (-3, -3) write the linear equation in slope intercept form given the following
Answers
Answer:
y = -1/5x - 3.6
Step-by-step explanation:
(2, -4) and (-3, -3)
m = -3+4/ -3-2
m = 1/-5
m = -1/5
y = -1/5x + b
-4 = -1/5(2) + b
-4 = -0.4 + b
b = -3.6
y = -1/5x - 3.6
what is the next operation that should be done when evaluating this expression?
9-12+-2+3(-3)
a) 3(-3)=-9
b)-2+3=1
and if you dont mind showing how you did it so i can learn it thanks!
Answers
The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9
How to calculate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.
In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.
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A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from point A to C is 16ft. What is the distance from point A to B?
A. 8ft
B. 7ft
C. 9ft
D. 6ft
Answers
I’ll brainliest you please help me
Answers
Answer:
a. 15 inches
Step-by-step explanation:
Pythagorean theorem:
a² + b² = c²
a² = 9in
b² = 12in
9² + 12² = c²
9² = 81
12² = 144
81 + 144 = 225
c² = 225
simplify = √225
√225 = 15
We know this because we can use the Pythagorean theorem to answer the question.
a^2+b^2=c^
12^2 +9^2=c^
225=c^2
And the answer we get is 15
triangle ABC has a perimeter 22cm
AB=8cm
BC=5cm
by calculation, deduce whether ABC is a right angle triangle?
Answers
22 = 8 + AC + 5
AC = 9
from phitagoras rule it states that
if ABC is a right angle then
9^2 = 8^2 + 5^2
81≠89
so its not right angelic
6. It took Mrs. Whitaker's class 4 hours to build a snowman.
They decided to build a second snowman, but this time it took
only half the time it took to build the first one. What was the
total amount of time to build both?
Answers
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
1st snowman took time t = 4 hours
2nd snowman take half of the first t / 2 = 2 hours
so total time
= t + t/2
= 4 + 2
= 6 hours
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
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The sum of three
consecutive even
numbers is 90. What is the smallest of
these numbers?
Answers
Answer:
The smallest even number is 28.
Does the point (2,-1) lie on the line
y=3-2x?
Answers
Answer:
yes
Step-by-step explanation:
the line passes through that point.
Answer:
yes
Step-by-step explanation:
Here, x=2 and y=-1
If these points lie on the line y= 3-2x,then they must satisfy the equation of the line (also mean they must be equal)
So on solving the equations putting the value of x and y, we get
y=3-2x
or,-1=3-2*2
or,-1=3-4
Therefore, -1=-1
write the equation of a line passing (5,6) and (4,3) in slope-intersept
Answers
Step-by-step explanation:
[tex]gradient = \frac{(3 - 6)}{(4 - 5)} \\ = 3 \\ y = mx + c \\ consinder \: (4, \: 3) \\ 3 = (3 \times 4) + c \\ c = - 9 \\ y = mx + c \\ y = 3x - 9[/tex]
A restaurant manager believes that a majority of customers who dine at his restaurant would rate the food as excellent. To investigate this belief, he sends an email survey to a random sample of 50 customers from the large list of customers who have signed up for his frequent diner club. To encourage the customers to complete the survey, he offers a $10 gift card upon completion of the survey. He receives 22 responses, of which 20 rated the food as excellent. He would like to know if these data provide convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent. Are the conditions for inference met
Answers
The conditions for inference are: The customers who are surveyed are chosen independently at random, so we can assume that the survey results are independent.
What do you mean by normalcy?The amount of grams or mole equivalents of solute present in a solution that contains one liter is what is referred to as normalcy according to the accepted definition. The amount of moles of reactive units in a compound is what we mean when we say it is equal.
Sample size: The manager is surveying 50 customers, which is a moderate-sized sample.Normality: Since the manager is only looking at the proportion of customers who rated the food as excellent, we can assume that the data are approximately normally distributed.Randomness: The manager is using a random sample from the list of customers who have signed up for his frequent diner club, so we can assume that the sample is random.The conditions for inference are met.
However, to conclude that more than 50% of customers who dine at his restaurant would rate the food as excellent, we need to conduct a statistical test such as a one-sample proportion test or a confidence interval. The manager would need to compare the proportion of the customers who rated the food as excellent from the survey with the proportion of customers who would rate the food as excellent. This would allow to see if the data provides convincing evidence that more than 50% of customers who dine at his restaurant would rate the food as excellent.
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Please help ASAP!
Write the recurring decimal 0.123 (1 and 3 being the repeated) as a fraction
Answers
plz answer will give 5* brainliest and thanks plz plz plz ur being timed xD
Answers
Answer:
y = 1/2x + 0
Step-by-step explanation:
Which expression represents these words?
7 more than the product of 9 and 8
Answers
Answer:
7 + (9 * 8)
Step-by-step explanation:
You don't need parenthesis unless it helps you understand.
The expression is represent as 7 + (9 x 8).
Here,
The condition is given as,
The expression is 7 more than the product of 9 and 8.
How to write an expression?
We write an expression by using numbers or variables and mathematical operators which are addition, subtraction, multiplication and division.
Now,
Product of 9 and 8 is written as 9 x 8.
Hence, 7 more than the product of 9 and 8 is written as;
⇒ 7 + (9 x 8)
The expression is represent as 7 + (9 x 8).
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The cheerleader section is on the basketball court. Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards. How many square yards of floor space are taken up by one row of cheerleaders? Help!
Answers
Answer:
The area of the floor space is equal to 5.83 sq yards.
Step-by-step explanation:
Given that,
Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards.
We need to find how many square yards of floor space are taken up by one row of cheerleaders.
We know that, the area of a rectangle is given by :
A = lb
So,
[tex]A=\dfrac{7}{4}\times \dfrac{10}{3}\\\\A=5.83\ yards^2[/tex]
So, the area of the floor space is equal to 5.83 sq yards.
What is the solution to the system of equations?
Answers
Answer:
(2,5)
Step-by-step explanation:
First, we notice that
y = -x + 7
y = 2x + 1
Next, since both -x + 7 and 2x + 1 are equal to y, than by that logic it means
-x+7 = 2x+ 1
Add x to both sides
7 = 3x+1
Subtract 1 from both sides
6 = 3x
x = 2
Now that we solved x, let's plug x = 2 into either -x+7 or 2x + 1. Either way, both will have the same answer.
y = -x + 7
y = -(2) +7
y = 5
Therefore, the answer is
x= 2
y = 5
(2,5)
Find the equation of the line.
Answers
Answer:
[tex]y=\frac{9}{10}x-\frac{7}{5}[/tex]
Step-by-step explanation:
Using the points [tex](-4,-5)[/tex] and [tex](6,4)[/tex], the slope is [tex]m=\frac{-5-4}{-4-6}=\frac{9}{10}[/tex].
Using point-slope form:
[tex]y+5=\frac{9}{10}(x+4) \\ \\ y+5=\frac{9}{10}x+\frac{18}{5} \\ \\ y=\frac{9}{10}x-\frac{7}{5}[/tex]