Answer:
The correct option is 3.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ..... (1)
where, m is slope and b is y-intercept.
From the given graph it is clear that the graph intersect the y-axis at (0,2). So, the y-intercept of the line is 2.
The line passes through the points (0,2) and (4,3). So, the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-2}{4-0}[/tex]
[tex]m=\frac{1}{4}[/tex]
Substitute [tex]m=\frac{1}{4}[/tex] and b=2 in equation 1.
[tex]y=\frac{1}{4}x+2[/tex]
The equation of line is [tex]y=\frac{1}{4}x+2[/tex].
Therefore the correct option is 3.
what is the difference between the commutative distributive and associative properties when multiplying?
Seven less than one-third of a number is 5
which of the following best represents the average rate at which infants can grow in height during the first four years after birth.
*3 inches per month
*3 inches per year
*3 feet per month
*3 feet per year
I'm pretty sure that the answer is three inches PER YEAR because think, there is 12 months in a year so if he grows 3 inches per month for 4 year he/she would be taller than an 8 year old, so per year makes more sense.
I need help with (b) plz help me
Why is 39 rational ????????????????????
the environmental club is having a trash pick up day.there are 130 people signed up to help.for trash pickup day,they will work in groups of 4.no more than 4 people can join a group.how many groups are there?explain how you interpreted the remainder
Jed made 2 free throws in 5 second how many would he make in one minute
simplify 8(7-1)+4(x+5).
you begin with $25 in a savings account and $50 in the checking account. Each week you deposit $5 into savings and $10 into checking. After how many weeks is the amount in checking twice the amount in savings? write and solve an equation.
pi is an irrational number. could pi = 22/7? why or why not?
Solve the equation for y. Leave your answer in terms of π.
π=7x−2y
Answer:
The value of the equation for y is [tex]y=\frac{-\pi+7x}{2}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex] \pi=7x-2y[/tex]
We need to solve the equation for y.
Subtract 7x to both sides of the equation.
[tex] \pi-7x=7x-7x-2y[/tex]
[tex] \pi-7x=-2y[/tex]
Divide both the sides by -2.
[tex] \frac{\pi-7x}{-2}=\frac{-2y}{-2}[/tex]
[tex]y= \frac{\pi-7x}{-2}[/tex]
[tex]y=\frac{-\pi+7x}{2}[/tex]
Hence, the value of the equation for y is [tex]y=\frac{-\pi+7x}{2}[/tex].
Tanner collected 360 cans and cans and bottles while fundraising for his baseball team this was 40% of what Reggie collected how many cans and bottles did Reggie collect
Final answer:
To find how many cans and bottles Reggie collected, we consider the 360 cans and bottles Tanner collected as 40% of Reggie's collection. After setting up an equation and solving it, we determine that Reggie collected a total of 900 cans and bottles.
Explanation:
Tanner collected 360 cans and bottles, which was 40% of what Reggie collected. To find out how many cans and bottles Reggie collected, we'll use the concept of percentage. Since 40% equals 0.40 in decimal form, we can represent the total number Reggie collected as 100%, which is 1 when converted to decimal form.
Therefore, if Tanner collected 360 cans and bottles and this is 40% of Reggie's amount, we can set up the equation:
360 = 0.40 × (Total number of cans and bottles Reggie collected)
To solve for the total number, we divide both sides of the equation by 0.40:
Total number of cans and bottles Reggie collected = 360 ÷ 0.40
After the division, we find that:
Total number of cans and bottles Reggie collected = 900
PLEZ HELP I NEED HELP BADLYYY!!!
Homer and Bart plan to buy one computer for $499.00 strictly for gaming purposes games cost $49.99 each
PART A ... Define each variable and write an algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games
PART B .... if they purchase one computer in five games how much do they spend before sales tax
PART C.... Homer and Bart have friends they want to purchase extra controllers each controller costs $24.99 use an algebraic expression to describe how much they spend in total before tax sales when they purchase one computer any number of games in any number of extra controllers
PART D ... what would be the total cost before sales tax if Homer and Bart purchase one computer for games and three extra controllers
A. [tex]\[ T = C + G \times P \][/tex]
B. they will spend $748.95 before sales tax.
C. [tex]\[ T = C + G \times P + K \times R \][/tex]
D. The total cost before sales tax if Homer and Bart purchase one computer, five games, and three extra controllers would be $823.92.
PART A:
Let us define the variables:
- C: Cost of the computer ($499.00)
- G : Number of games
- P : Cost of one game ($49.99)
- T : Total cost before sales tax
The algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games is:
[tex]\[ T = C + G \times P \][/tex]
PART B:
If they purchase one computer and five games, we substitute G = 5 into the expression:
[tex]\[ T = 499 + 5 \times 49.99 \][/tex]
Now, we can calculate:
[tex]\[ T = 499 + 5 \times 49.99 \]\[ T = 499 + 249.95 \]\[ T = 748.95 \][/tex]
So, they will spend $748.95 before sales tax.
PART C:
Let's define an additional variable:
- K : Number of extra controllers
- R: Cost of one extra controller ($24.99)
The algebraic expression to describe how much they spend in total before sales tax when they purchase one computer, any number of games, and any number of extra controllers is:
[tex]\[ T = C + G \times P + K \times R \][/tex]
If they purchase one computer, five games, and three extra controllers, we substitute G = 5 and K = 3 into the expression:
[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \][/tex]
PART D:
Now, we can calculate:
[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \]\[ T = 499 + 249.95 + 74.97 \]\[ T = 499 + 324.92 \]\[ T = 823.92 \][/tex]
So, the total cost before sales tax if Homer and Bart purchase one computer, five games, and three extra controllers would be $823.92.
Evelyn evaluated 1 and 6/7 - 3/4. Each statement below is a way for Evelyn to check her answer.
Use the drop down menus to complete each statement.
If the sum of her anwser is 3/4 is 1, Evelyn's answer is A. Too high , B. Too low, C. Correct?
If the sum of her answer and 3/4 is 1 and 6/7 , Evelyn's answer is A. Too high , B. Too low, Or C. Correct?
If her answer is minus 3/4 is 1 and 6/7, Evelyn's answer is A. Too high , B.Too low , C.Correct?
The required solutions are as follows,
(a) Evelyn's answer is Too low, Option B is correct.
(b) Evelyn's answer is correct, and Option C is correct.
(c) Evelyn's answer is Too high, Option A is correct.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question,
Evelyn evaluated 1 and 6/7 - 3/4 as,
= 1 6/7 - 3/4 and add 3/4 later,
= 1 6/7 -3/4 + 3/4
= 1 6/7
So,
If the sum of her answers is 3/4 is 1,
Evelyn's answer is Too low, Option B is correct.
If the sum of her answer and 3/4 is 1 and 6/7
Evelyn's answer is correct, and Option C is correct.
If her answer is minus 3/4 is 1 and 6/7,
Evelyn's answer is Too high, Option A is correct.
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Unit rate for 490 in 3 1/2 hour
a chinchilla weighs 2 pounds its weight is 1/8 the weight of a koala write an expression and solve it to show how much the koala weights
tukarkan 0.8 juta kepada nombor bulat
the sum of two numbers is 90. if 20 is added to 3 times the smaller number, the result exceeds twice the larger by 50. find the number.
After setting up a system of equations and solving them simultaneously, the two numbers are found to be 42 and 48.
To find the two numbers where the sum is 90 and where 20 added to three times the smaller number exceeds twice the larger number by 50, we can set up a system of equations. Let x be the smaller number and y be the larger number. The first equation based on the sum of the numbers will be:
x + y = 90
The second equation derived from the condition involving multiplication and addition will be:
3x + 20 = 2y + 50
Solving these two equations simultaneously, we start by rearranging the first equation to find y:
y = 90 - x
Next, we substitute this expression for y into the second equation:
3x + 20 = 2(90 - x) + 50
Simplify and solve for x:
3x + 20 = 180 - 2x + 50
5x = 210
x = 42
Now substitute x back into the equation for y:
y = 90 - 42
y = 48
The two numbers are 42 and 48.
162 water bottles in 9 cases =
THANKS IN ADVANCE!
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
None of the factors were negative.
All of the factors were negative.
An odd number of factors were negative.
An even number of factors were negative.
(1)negative x (2)negative = positive x (3)negative = negative x (4)positive = negative
negative divided by negative = positive
odd number were negative
What is the best estimate of (-3/5)(17 5/6)
[tex]\text{Hey there!}[/tex]
[tex]17\dfrac{5}{6}=17\times6 + 5 =17\times6 \rightarrow102+5 = 107\\\\\text{107 would be your numerator \& 6 would be your denominator.}[/tex]
[tex]17\dfrac{5}{6} = \dfrac{107}{6}[/tex]
[tex]-\dfrac{3}{5}\times\dfrac{107}{6}\\\\5 + 6 = 10\\\\\text{Your new equation is: }\dfrac{-107}{10}\text{Which the mixed number fraction is: }-10\dfrac{7}{10}[/tex]
[tex]\boxed{\boxed{\bf{Answer(s): -10\dfrac{7}{10} \ or \dfrac{-107}{10}}}}\checkmark\\\\\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]
Adam travels 248 miles on Monday and 167 miles on Tuesday. Estimate the total number of miles Adam travels
Answer:
Adam travels total 415 miles.
Step-by-step explanation:
The distance Adam travels on Monday = 248 miles
The distance Adam travels on Tuesday = 167 miles
We have to calculate the total number of miles Adam travels.
Total number of miles Adam travels = distance traveled on Monday + distance traveled on Tuesday
= 248 + 167
= 415 miles
Adam travels total 415 miles.
teresa earns $6.25 per hour. Calculate he wage for the week where she works the following number of hours:
What is the value of the 8 in 381,697?
The average length of a ladybug can range from 0.08 to 0.4 inch. Find two lengths that are within the given span.
Two lengths within the average range for a ladybug could be 0.2 inches and 0.35 inches, both of which are between the minimum of 0.08 inches and the maximum of 0.4 inches.
The average length of a ladybug can range from 0.08 to 0.4 inch. To find two lengths that are within the given span, we can select any two numbers that fall between these two values. For instance:
The first length could be 0.2 inches, which is exactly in the middle of the range.The second length could be 0.35 inches, which is closer to the upper end of the range but still within the given span.These lengths are examples of measurements that would fall within the typical size range of a ladybug.
What is the value of x2y , when x = 10 and y = 1?
A.1/10
B.1/5
C.5
D.10
Answer:
The answer is 5
Step-by-step explanation:
x/2y = 10/2*1 = 10/2 =5
So basically you do the 10 on top and on the bottom you do 2*1 which equals 2 then you got 10/2 then you would see how many times 2 goes into 10 which is 5 so 5 is your answer hoped this helped! :)
65.5kg take away 3500 grams
Which name correctly classifies this triangle?
The name of Triangle is Isosceles Triangle.
What is an Isosceles Triangle?Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal. Therefore, an isosceles triangle has two equal sides as well as two equal angles.
Given:
From the figure we can see that the triangle is have two of its line segment is equal.
As, we know that the triangle which have two of its sides and angles are equal is an Isosceles Triangle.
Thus, the Triangle is Isosceles Triangle.
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Which of these are NOT examples of the four essential parts of natural selection? Question 2 options: A One offspring of an organism has green fur, and the other has blue fur. This variation in fur color is passed down to their offspring as well. B All offspring of lions will always survive because Earth can always support new organisms. C Cats’ sharp teeth helped them to consume other organisms and survive in their environment. D Jaguars with large jaws made it easier for them to eat certain animals and survive long enough to reproduce.
Considering the one time deposit and monthly rent, the equation y=1200 + 400x can be used to represent y
Answer: $1200
Step-by-step explanation: