Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
Explain about the slope intercept form:The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form: y=mx+b.
The cost of a game is $4, while the cost of renting shoes is set and unknowable. Since each game costs $4, we already have. Hence, y=4x+b. Yet b is still unknown to us. The constant b in the equation y=mx+b usually refers to the fixed price in linear math equations.We are aware of the a y, overall game cost, and the x, overall game number. These figures are, respectively, $14 and 3.Thus, we include them in the formula: y=4x+b.
14 = 4(3)+b
Find b
14 = 12+b
14 - 12=b
b = 2
Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
Know more about the slope intercept form
https://brainly.com/question/1884491
#SPJ1
Complete question:
The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.
a.write an equation to represent the total cost y to rent shoes and bowl x games.
HELP!!
Calculate the residuals for your scatterplot in step 2d.
In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:
Step 1: Plot the data on a scatterplot.
Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.
Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.
Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.
Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.
For such more question on equation
https://brainly.com/question/29174899
#SPJ8
Find the values of m and n.
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
y = 12(x * 3) +5
What is the y intercept and slope of this line
Answer:
the slope is 36 and the y-intercept is 0,5
Step-by-step explanation:
Hey there!
y = 12(x * 3) + 5
y = 12(x*3) + 5
y = 12(3x) + 5
y = 36x + 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
On a map of Cyan City, 1 inch represents a distance of 4 miles. What length on the map represents a
distance of 1 mile?
Answer:
253440 milesStep-by-step explanation:
This exercise desires to test our knowledge of units conversion,
now, given that on the map 1 inch represents 4 miles
the distance of 1mile when converted to inches ordinarily would be
1mile is 63360 inches
since on the map
1 inch represents 4 miles
63360 inches represents Xmiles
cross multiply we have
X would be = 63360*4
On a map one mile would be 253440 miles
A (-5,2) B (0,-5) C (5,1) D (7,5)
Answer:
C
Step-by-step explanation:
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
For more such questions on probability visit:
https://brainly.com/question/251701
#SPJ8
Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the correct equation for how much Yolanda will have in year 10?
The correct option will be Option D: \(P_{10} =30000(1+0.079)^{10\)
The compounds interest can be estimated by using the following formula
\(A =P(1+r/n)^{nt\)
where
A: the final amount
P: the initial investment
r: the interest rate (in decimal)
n: the number of times the interest will be compounded per year
t: the time (in year)
Given in the problem that
the initial investment is $30,000 and the time period is 10 years,
so P=30000 and
t=10
As we know The interest will be compounded one time per year
n=1.
now for converting the interest rate into decimal form, we will divide the rate of interest by 100.
r=7.9/100
⇒r=0.079
putting above values in the above formula
\(A =P(1+r/n)^{nt\)
⇒ \(A =30000(1+0.079/1)^{(1)(10)\)
⇒ \(A =30000(1+0.079)^{10\)
⇒\(P_{10} =30000(1+0.079)^{10\)
Therefore correct option is Option D: \(P_{10} =30000(1+0.079)^{10\)
By completing the above equation to find the total amount
\(P_{10} =30000(1+0.079)^{10\)
⇒\(P_{10} =30000(1.079)^{10\)
⇒\(P_{10} =64170.54\)
Yolanda will have to pay $64,170.54 in her account after ten years.
Learn more about compound interest
Here: https://brainly.com/question/24924853
#SPJ10
I'm stuck and I need help right now
Answer:
See below.
Step-by-step explanation:
Make a table with values at certain values of x from -2 to 2.
Write in the table f(x) and g(x), and then h(x).
Then, plot the points for h(x).
See the picture below.
Help please! 50 points! Troll answers WILL be reported
Answer:
Think its B. but if not it should be E.
Step-by-step explanation:
Which of the following rational functions is graphed below?
A. F(x)= -1/x
B. F(x)= 1/x-1
C. F(x)= 1/x+1
D. F(x)= 1+x/x
Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.. Which of the following rational functions is graphed below? In the graph, we can see that we have a vertical asymptote at x = -1.. …
Find three solutions to the equation 2x+3y=12
Answer:
if x = 3, then y = 2
if x = 0, then y = 4
if x = 6, then y = 0
Using ten frames There are 17 goats 8 goats go outside how many goats are inside use ten frame
Answer: 9 goats
Step-by-step explanation:
17 in the pen, 8 goats leave leaving 9 goats remaining
17-8+2
17-10-(-2)
7-(-2)=9
17-8=9
Answer: 9/10?
Step-by-step explanation: 17- 8 = 9
9/10
Convert 0.1 lb/day to oz/week
1 pound = 16 ounces
1 week = 7 days
0.1 x 7 = 0.7 pounds per week
0.7 x 16 = 11.2 ounces
0.1 lb/ day converts to 11.2 ounces / week
What is the inverse of the logarithmic function
f(x) = log2x?
f –1(x) = x2
f –1(x) = 2x
f –1(x) = logx2
f –1(x) = StartFraction 1 Over log Subscript 2 Baseline x EndFraction
Answer:
B. edge 2021
B. is correct for the next one too.
Step-by-step explanation:
B. is the correct answer for the first one
B. is also the correct answer for the second one
The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)
The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using this formula, we can calculate the distances between each pair of consecutive points as follows:
Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards
Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards
Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards
Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards
Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.
Consider the function f (x) = x.What effect does subtracting 2 from the input have on the graph of the function?
The effect of subtracting 2 from the input on the graph of the function is a translation of 2 units to the right.
What effect does subtracting 2 from the input?For any function f(x), we define a horizontal translation of N units as:
g(x) = f(x + N)
And what this does, is translate the graph N units horizontally.
if N > 0, then the translation is to the left.
if N < 0, then the translation is to the right.
Here we want to subtract 2 from the input, so we will get:
f(x - 2)
By using the definition above, we know that we will have a translation of 2 units to the right.
Learn more about translations by reading:
https://brainly.com/question/24850937
#SPJ1
What is the point-slope form of a line with slope 3/2 that contains the point
(-1,2)?
A. y+2 = (x - 1)
B. y-2 = {(x-1)
C. y-2 = = {(x+1)
D. y+2= {(x+1)
Answer:
y - 2 = (3/2)(x + 1)
Step-by-step explanation:
Start with the point-slope formula y - k = m(x - h). With m = 3/2, h = -1 and k = 2, we get:
y - 2 = (3/2)(x + 1)
Eliminate the parameter in the equations x = t^1/3 and y = t – 4. How can the rectangular equation be described?
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.
Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.
This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.
If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.
For such questions on Elimination
https://brainly.com/question/14485352
#SPJ8
A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.
Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
What is a sample and its types?A sample is only a small portion of the population.
Let's imagine you were interested in determining the average income for all Americans in your population.
Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.
Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.
And the gardener decides to conduct an experiment using 28 individual plants.
Plan A will be a biased sampling and the experiment would not yield
desired results.
Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
learn more about samples here :
https://brainly.com/question/8222250
#SPJ1
Could anyone tell me the answer of this question?
Pls answer fast
Answer:
28.
Step-by-step explanation:
A = bh = 8 · 3.5 = 28
what number represents the same amount as 2 hundreds + 12 tens + 6 ones ?
Answer:
326
Step-by-step explanation:
The value of the given expression is 326.
Given:
The given expression 2 hundreds + 12 tens + 6 ones.
To find:
The value of the given expression.
Explanation:
The numeric form of given expression is:
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
Therefore, the value of the given expression is 326.
A dance squad needs at least $800 to buy new dance outfits.
They have saved $350 already.
They are selling tickets to a dance performance for $8 each.
They need to sell x tickets to have enough money to buy the new dance outfits. Which inequality represents this situation?
A
8x+350≤800
B
8x+350≥800
C
8(x+350)≤800
D
8(x+350)≥800
Answer:
B) 8x + 350 ≥ 800
Step-by-step explanation:
A dance squad needs at least $800, this means the inequality sign will be greater than or equal to.
They already have $350, and each ticket is $8.
So,
8x + 350 ≥ 800
FOR 20 POINTS!!!
(Look at picture)
Answer:
Kenyon could make a total of 7 bouquets.
Step-by-step explanation:
To find the greatest number of bouquets we need to find GCF.
We need to find GCF for 21 and 28.
The factors of 21 are: 1,3,7, and 21.
The factors of 28 are: 1,2,4,7,14, and 28
1 and 7 are the common factors between 21 and 28.
From the factors, the greatest common factor is 7.
fred explained to his friend nicole 5x8/6 is the step it takes to multiply 5/8 x 6 a fraction by a whole number. is fred correct?
explain your reasoning.
Answer:
no fred is not correct
Step-by-step explanation:
so u say
5/8×6/1
then u say 5×6=30
then u say 8×1=8
then u say 30÷8= 3.75
so yr answer is =3.75
hope u understand
Decide whether the set S = {−1, 0 ,1} is closed under each of the following operations. Be sure to justify
each of your conclusions.
1. Multiplication
2. Addition
3. Subtraction
4. Division
5. Squaring
6. Square rooting
7. Averaging 2 numbers
8. Averaging 3 numbers
Answer:
Explained below
Step-by-step explanation:
Sol: 1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, -1 x 0 = 0 Є S and -1 x 1 = -1 Є S, Hence the set S is closed under multiplication.
2. Addition
When we add two sets S elements, the answer should also belong to the set S, for example, 1 + 0 = 1 Є S but 1 + 1 = 2, which does not belong to set S; hence S is not closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set S.
4. Division
The set S is not a closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring if we square an element of the set S, and the result also belongs to the set S, for example, (0)2 = 0 and (-1)2 = 1, which belongs to the set S. Hence set S is closed under squaring.
6. Square rooting
The set S is not closed under square rooting because when we take the square root of an element of set S, the answer does not belong to the set S. √-1 = undefined.
7. Averaging two numbers
Averaging two numbers mean the sum of two numbers of set S is divided by two. For example, 1 + 0/2 = 1/2, which is not belongs to set S. hence set is not closed under averaging two numbers.
8. Averaging three numbers
The sum of three numbers of set S is divided by 3; the answer should belong to the set S.
-1 + 0 + 1 / 3= 0, 0 belongs to set. Hence the set S is closed under averaging three numbers.
Answer is explained below. We can say that Subtraction is not closed under the set.
Given set S = {−1, 0 ,1} we have to check the given set is closed or not.
1. Multiplication
Multiply the set S; the answer should also belong to the set S. For example, \(-1\times 0=0\), 0 Є S and \(-1\times 1 = -1\) , -1 Є S, so the set S is closed under multiplication.
2. Addition
On adding the any two values of the set, the result belong to the set itself, for ex if we add \(-1+0=-1\\\) Є S but 1. so we can say that the given set is closed under addition.
3. Subtraction
The set S is not closed under subtraction because -1 – 1 = -2, -2 is not the set element S.
4. Division
The set S is not belongs to closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.
5. Squaring
The set is closed under squaring,since we square an element of the set S, and the result also belongs to the set S. for example, \(0^{2} =0\) and\(-1^{2} =1\) which belongs to the set S. Hence set S is closed.
Hence We can say that Subtraction is not closed under the set.
For more details on Set follow the link below:
https://brainly.com/question/8053622
The angle measures of a triangle are shown in the
diagram
60
What is the value of x?
Is B 30 right?
b is the correct answer u got it
Answer:
C. 30
Step-by-step explanation:
2x = 60
x = 30
Also because the right angle of a triangle which is the angle where (2x) is at is equal to 90 degrees always, so since one of the angles is 60 the other will be 30 because the three angles of a triangle add up to 180 degrees:
90 + 60 = 150
180 - 150 = 30
Owen receives $10 and puts it into his saving account. He adds $0.50 to the account each day for a number of day, d, after that. He writes the expression 10+ 0.5(d-1) to find the amount of money in his account after d days. Which statement about his expression is true?
The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.
What does the expression 10+0.5(d−1) represent in Owen's savings account?The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.
By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.
Read more about expression
brainly.com/question/1859113
#SPJ1
Select the correct answer.
You’re trying to determine what the temperature is outside. The thermometer says it’s 24°C. You convert this temperature to 100°F. If a mistake was made during the conversion process, how did it happen?
A.
You converted Fahrenheit to Celsius instead of Celsius to Fahrenheit.
B.
You added 32 before multiplying by instead of multiplying by and then adding 32.
C.
You multiplied by instead of multiplying by .
D.
No mistake was made.
Answer:
B. You added 32 before multiplying by instead of multiplying by and then adding 32.