The equation is d + 3h = $13
The cost of each hamburger is $3.5
Solving an EquationFrom the question, we are to write and solve the equation for the problem.
From the given information,
Danie purchases one hot dog $2.50
and
3 hamburgers
and
He spent $13 total
Let d represent hot dog
and
h represent hamburger
Then,
d = $2.50
We can write that
d + 3h = $13
$2.50 + 3h = $13
3h = $13 - $2.50
3h = $10.5
h = $10.5/3
h = $3.5
Hence, the cost of each hamburger is $3.5
Learn more on Solving linear equations here: https://brainly.com/question/27887972
#SPJ1
which of the following equations represent a line that is parallel y=5x-4 ad passes through the point (3,4)
The equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.
How to write the point-slope form equation?We are given that
The slope of given line = 5And passed through point (3, 4)Slope of parallel lines is the same, so slope of the line parallel to the given line will be m = 5
We have the slope and a point, using the point-slope form we can write the equation of the line:
\(\rightarrow\text{y} - 4 =5 \ (\text{x} - 3)\)
\(\rightarrow\text{y} = 5\text{x} - 15 + 4\)
\(\rightarrow\bold{y = 5x - 11}\)
Hence, the equation that represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.
To know more about point-slope form, visit:
https://brainly.com/question/28895991
Your question is incomplete. The complete question is-
Which of the following equations represents a line that is parallel to y = 5x - 4 and passes through the point (3, 4)?
A. y = 5x - 7
B. y = 5x + 19
C. y = -1/5x -4
D. y = 5x - 11
A television station shows commercials for 7 1/2 minutes each hour how many 45 second commercials can it show per hour
the television station can show 10 45-second commercials per hour.
convert hour into minuteTo convert hours into minutes, you simply multiply the number of hours by 60, since there are 60 minutes in an hour.
So, if you want to convert 3 hours into minutes, you would do:
3 hours x 60 minutes/hour = 180 minutes
Therefore, 3 hours is equivalent to 180 minutes.
There are 60 minutes in an hour, and 7 1/2 minutes is equal to 7.5 minutes.
So, the television station shows commercials for 7.5 minutes per hour.
We can convert 45 seconds to minutes by dividing it by 60:
45 seconds ÷ 60 = 0.75 minutes
To find out how many 45-second commercials the television station can show per hour, we can divide the total number of minutes of commercials by the length of each commercial:
7.5 minutes ÷ 0.75 minutes/commercial = 10 commercials
Therefore, the television station can show 10 45-second commercials per hour.
To know more about second, visit:
https://brainly.com/question/11879335
#SPJ1
y = – 3
y = x – 0.8
A coordinate grid with 2 lines. The first line passes through the points (0, negative 0.1) and (0.8, 0). The second line is horizontal passes through the point (0, negative 3). The lines intersect at a point with a coordinate of slightly to the left of negative 2 and negative 3.
What is the best approximation for the solution to this system of equations?
(–3.2, –3)
(–2.9, –3)
(–2.2, –3)
(–1.9, –3)
The best approximation for the solution to the system of equation is option C) (-2.2 , -3)
According to the question we have been given two system of linear equation which are:
y = -3 (1)
and y = x - 0.8 (2)
Now solving these two equation and find the value of x
Substituting the value of y from equation (1) to the equation (2) we get
-3 = x - 0.8
-3 + 0.8 = x
x = -2.2
Thus the best approximation for the solution to the system of equation is option C) (-2.2 , -3)
Learn more about solution to equation here : https://brainly.com/question/13729904
#SPJ9
If you wanted to find the depth of a submarine during a dive, would it be more reasonable to use an equation with the rate in feet per minute or feet or hour? Explain why?
Answer: i would say feet per minute
Step-by-step explanation:seems more reasonable
Find the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4
The gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
What is the gradient?A differential operator is used for a function having a vector value in three dimensions to produce a vector whose three components are the partial derivatives of the function with respect to its three variables.
The given equation for the curve is;
y = 5x³ + 3x² - x + 4
The gradient of the tangent to the curve is;
\(\rm y'=\frac{dy}{dx} \\\\ y'= 5x^3 + 3x^2- x + 4 \\\\\ y'=15x^2+6x-1\)
Hence,the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
To learn more about the gradient refer to;
https://brainly.com/question/13020257
#SPJ1
The equation of the conic with focus at (1,−1) directrix along x−y+1=0 and with eccentricity 2 is.O x2−y2=1O xy=1O 2xy−4x+4y+1=0O 2xy+4x−4y−1=0
The equation of the conic with Points at (1,−1) directrix along x−y+1=0 and with eccentricity 2 is 2xy - 4x -4y +1 = 0 .
Equation:
An equation is a formula that connects two expressions with the equal sign = to indicate that they are equal. Solving an equation involving variables involves determining which values of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values of the unknowns that satisfy the equation are called solutions of the equation. There are two types of comparisons: identity comparisons and conditional comparisons. The identity is true for all values of the variable. Conditional comparisons are only true for certain values of variables
According to the Question:
Let P(x, y) be any point on conic. Then,
\(\sqrt{(x-1)^2+(y+1)^2}\) = \(\sqrt{2} (\frac{x-y+1}{\sqrt{2} } )\)
⇒ (x-1)²+(y+1)² = (x- y+ 1)²
⇒ 2xy - 4x -4y +1 = 0
The above equation is the required equation of conic.
Complete Question:
The equation of the conic with focus at (1,−1) directrix along x−y+1=0 and with eccentricity 2 is.
1) x²− y²=1O
2) xy =1O
3) 2xy−4x+4y+1 =0
4) 2xy+4x−4y−1 =0
Learn more about Equation:
https://brainly.com/question/29657983
#SPJ4
at a large airport, data were recorded for on emonth on how mayn baggage items were unloaded on each flight upon arrival as well as the time to deliver all the baggage items on the fligh tto the baggage claim area
The correct option is (B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model.
What is least-square model (regression line)?In order to find the line that is most suitable for a set of data, the least squares method is a type of mathematical regression analysis. It offers a visual representation of the relationship between both the data points.
Some characteristics of least square model are-
The correlation between a recognized independent variable but also an unknowable dependent variable is represented by each data point.By reducing the total of the offsets and residuals of spots from either the plotted curve, the least squares approach is a statistical technique for identifying the best estimate for a group of data points.In order to forecast the evolution of dependent variables, least squares is employed.The location of such line of best fit amongst some of the data points under study is explained generally by the least squares method.To know more about least square model/ regression line, here
https://brainly.com/question/14563186
#SPJ4
The complete question is-
At a large airport, data were recorded for one month on how many baggage items were unloaded from each flight upon arrival as well as the time required to deliver all the baggage items on the flight to the baggage claim area scatter plot of the two variables indicated a Strong; positive linear association between the variables_ Which of the following statements is a correct interpretation of the word ~strong in the description of the association?
(A) least-squares model predicts that the more baggage items that are unloaded from a flight; the greater the time required to deliver the items to the baggage claim area
(B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model .
(C) The time required to deliver an item to the baggage claim area is relatively constant; regardless of the number of baggage items unloaded from a flight,
(D) The variability in the time required to deliver all items to the baggage claim area is about the same for all flights, regardless of the number of items unloaded from flight
(E) The time required to unload baggage items from a flight is related to the time required to deliver the items to the baggage claim area.
please I need help with this ASAP!!!
We can rewrite the quadratic equation into:
(x - 1)² - 5
so:
c = -1
d = -5
How to rewrite the quadratic equation?We want to rewrite the quadratic equation into the vertex form, to do so, we just need to complete squares.
Here we start with:
x² - 2x - 4
Remember the perfect square trinomial:
(a + b)² = a² + 2ab + b²
Using that, we can rewrite our equation as:
x² + 2*(-1)*x - 4
Now we can add and subtract (-1)² = 1 to get:
x² + 2*(-1)*x + (-1)² - (-1)² - 4
(x² + 2*(-1)*x + (-1)²) - (-1)² - 4
(x - 1)² - 1 - 4
(x - 1)² - 5
So we can see that:
c = -1
d = -5
Learn more about quadratic equations at:
https://brainly.com/question/1214333
#SPJ1
graph the following: y = -4x – 1.
This is a line portrayed in point-slope form.
First, put a point at (0, -1). This is your y-intercept.
Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).
Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).
Finally, draw a line connecting all your points.
Consider the statement "The square of any odd integer is odd." (a) Rewrite the statement in the form Forall n, . (Do not use the words "if or "then.") (b) Rewrite the statement in the form Forall n, if then. (Make sure you use the variable n when you fill in each of the second two blanks.) (c) Write a negation for the statement.
(a) For all n, if n is an odd integer, then the square of n is odd. (b) For all n, if n is an odd integer, then the square of n is an odd integer. (c) There exists an integer n such that the square of n is not odd.
(a) For all n, if n is an odd integer, then the square of n is odd .The statement is rewritten in the universal form "For all n" indicating that the property holds true for every odd integer. (b) For all n, if n is an odd integer, then the square of n is an odd integer. The statement is rewritten in the universal form with an implication "if...then" structure, specifying that if n is an odd integer, then the square of n will also be an odd integer. (c) There exists an integer n such that the square of n is not odd. The negation of the statement states that there exists at least one integer n for which the square of n is not an odd integer, implying that there is a counterexample to the original statement.
Learn more about logical statements and negations in mathematics here:
https://brainly.com/question/22789958
#SPJ11
Hans checked the temperature in his apple orchard at 10:00 P.M. His thermometer read
37. F. Hans kept checking his thermometer every hour for the next 8 hours and got these
readings: 37', 35, 33°, 32, 30°, 30°, 29., 30'. What was the median temperature
during this 8 hour period?
degrees
The median temperature during the 8-hour period in Hans' apple orchard was 32.5 degrees.
To find the median temperature during the 8-hour period, we first need to arrange the temperatures in ascending order: 29., 30', 30°, 30°, 32°, 33°, 35°, 37°.
The median temperature is the middle value in the ordered list. In this case, since there are an even number of values, we take the average of the two middle values:
(32° + 33°) / 2 = 32.5°
Therefore, the median temperature during the 8 hour period is 32.5 degrees.
It's important to note that temperature is a crucial factor for growing apple trees, as it can greatly impact the growth and health of the orchard. Temperatures below freezing can damage the fruit and buds, while excessively high temperatures can cause sunburn and stress on the trees. Monitoring the temperature regularly can help farmers make informed decisions about protecting their crops and maintaining the health of their orchards.
You can learn more about the median temperature at: brainly.com/question/16631452
#SPJ11
rotate (-5,6) 180 clockwise
Answer:
(5 , -6)
Step-by-step explanation:
When you are going to rotate something to 180 degrees, either in the clockwise or counterclockwise direction, each point of x and y will be changed from (x, y) to (-x, -y).
Before rotation, x = -5 and y = 6
After rotation, x = 5 and y = -6
Answer:
(5 , -6) when rotated 180 degrees
v/22 - 0.1 = 7.4 what is v?
Answer:
v = 165
Step-by-step explanation:
v/22 -0.1 = 7.4
v/22 = 7.4+0.1 =7.5
v = 7.5*22
v = 165
Answer:
\(v = 165\)
Step by step Explanations:1) Add 0.1 to both sides.
\( \frac{v}{22} = 7.4 + 0.1\)
2) Simplify 7.4 + 0.1 to 7.5.
\( \frac{v}{22} = 7.5\)
3) Multiply both sides by 22.
\(v = 7.5 \times 22\)
4) Simplify 7.4 × 22 to 165.
\(v = 165\)
Therefor, the answer is v = 165.
The bakery can make 130 bagels in 4 hours how many can they make in 16 hours
Answer:1560
Step-by-step explanation:
Answer:
520
Step-by-step explanation:
The bakery can make 130 bagels in 4 hours how many can they make in 16 hours?
4x = 130
divide both sides by 4:
(4x)/4 = 130/4
so x = 32.5 bagels per hour.
Now multiply by 16 hours:
32.5 * 16 = 520
_____________________________________
alternative solving:
How many times does 4 go into 16?
16/4 = 4
so
130 * 4 = 520
Elva monitors her savings account online. On Monday she withdraws money, and the change to her balance is -$51.25. On Tuesday she deposits money and the change to her balance is +$39.50. She wants to know the total change in her account after the two transactions.
Answer:
39.50 + -51.25 is the expression
Step-by-step explanation:
I got it correct on I-ready!
Answer:
39.50+(-51.25)
Explanation:
Hope this helps 'cause it's correct! :)
The sum of three consecutive numbers is greater than 40. The inequality that represents this is x+x+1+x+2>40. Which value of x hold true for the inequality?
Answer:
x can be any integer greater than 12.
Step-by-step explanation:
x + x + 1 + x + 2 > 40
3x + 3 > 40
3x > 37
x > 12 1/3
x can be any integer greater than 12.
The best way to describe the location of a sample mean in a sampling distribution would be using:
a. the difference between the population mean and the sample mean
b. the sample standard deviation
c. the standard error
The best way to describe the location of a sample mean in a sampling distribution would be using the standard error. The standard error is a measure of the variability of the sample mean from sample to sample, and it takes into account both the sample size and the standard deviation of the population.
The sample standard deviation is a measure of the variability within the sample, but it does not provide information about the location of the sample mean in relation to the population mean. The difference between the population mean and the sample mean is a measure of bias, but it does not provide information about the variability of the sample mean.
Learn more about standard deviation : https://brainly.com/question/475676
#SPJ11
A cylinder has a radius of 2.5meters. Its volume is 37.5\pi cubic meters. What is the height of the cylinder?
Answer: height = 1.91 m
Step-by-step explanation: Using the formula
V=πr2h
Solving for h
h=V
πr2=37.5
π·2.52≈1.90986m
solve by substituting, show work
2x-3y=4
2x+8=11
Answer:
x=1.5 y=-1/3
Step-by-step explanation:
2x-3y=4
2x+8=11
Let's subtract 8 from both sides of the second equation:
2x=3
x=1.5
Substituting this into the first equation, we get:
2(1.5)-3y=4
3-3y=4
-3y=1
y=-1/3
True or False: The graph below represents the table of values.
Answer:
False
Step-by-step explanation:
I would say false;
This graph is really hard to read because of the way it's subdivided but one of the coordinate points is (0,-1) and the line clearly passes through the origin (0,0).
If you have the chance, please tell your teacher to provide better graphs that are actually readable.
Need help on this question ASAP PLEASE and thank you !
Answer:
Step-by-step explanation:
Raising both sides to the power of 10, we get \(x^{2}+x+14=10^{3x-5}\)
solve the linear equation 4x-(2x-1)=x+5+x-6
The linear equation doesn't have a solution.
How to compute the value?The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6
This will be solved thus:
4x - 2x + 1 = x+5+x-6
4x - 2x + 1 = 2x - 1.
2x + 1 = 2x - 1
Collect like terms
2x - 2x = -1 - 1
0 = -2
This illustrates that the equation doesn't have a solution.
Learn more about equations on:
brainly.com/question/28280501
#SPJ1
The table shows Tampa’s average monthly temperature and precipitation for 6 months in 2018.What is the value of r? Round to the nearest hundredth.
Answer:
0.5
Step-by-step explanation:
find the standard deviation for the given sample data. round your answer to one more decimal place than is present in the original data.184 169 120 271 230 114 163 241 110
The standard deviation of the given sample data is 55.7, the standard deviation is a measure of how spread out the values in a data set are.
It is calculated by taking the square root of the variance. The variance is calculated by taking the average of the squared differences between each value in the data set and the mean.
In this case, the mean of the data set is 177.67. The variance is 3123.53. The standard deviation is the square root of 3123.53, which is 55.7.
Here is a step-by-step calculation of the standard deviation:
Calculate the mean:
mean = (184 + 169 + 120 + 271 + 230 + 114 + 163 + 241 + 110) / 9 = 177.67
Calculate the squared differences between each value in the data set and the mean:
(184 - 177.67)^2 = 32.49
(169 - 177.67)^2 = 4.84
(120 - 177.67)^2 = 240.96
(271 - 177.67)^2 = 554.89
(230 - 177.67)^2 = 190.49
(114 - 177.67)^2 = 343.69
(163 - 177.67)^2 = 23.04
(241 - 177.67)^2 = 242.25
(110 - 177.67)^2 = 359.29
Calculate the variance:
variance = (32.49 + 4.84 + 240.96 + 554.89 + 190.49 + 343.69 + 23.04 + 242.25 + 359.29) / 9 = 3123.53
Calculate the standard deviation:
standard deviation = sqrt(3123.53) = 55.7
To know more about root click here
brainly.com/question/16880173
#SPJ11
If s(x) = 2 – x² and t(x) = 3x, which value is equivalent to (sof)(-7)?
-439
-141
153
443
Answer:
- 439
Step-by-step explanation:
evaluate f(- 7) and substitute the value obtained into s(x)
f(- 7) = 3(- 7) = - 21 , then
s(- 21) = 2 - (- 21)² = 2 - 441 = - 439
Answer:
A. (s*t)(-7)=-439
Step-by-step explanation:
(s*t)(-7) is the same as s(t(-7)). First find t(-7)
t(-7)=3(-7)=-21
t(-7)=-21
Plug -21 into s(t(-7)) for t(-7).
Find s(-21).
s(-21)=2-(-21)^2=-441+2=-439
Hope this helps!
If not, I am sorry.
Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to sprint three people are in the competition to throw Shotput and six people were there to polevault Britney was able to run a half a mile in six minutes and she finish seventh Place in the 100 m dash which of these pieces of data is discreet and which one is continuous
- The six minute half mile time is discrete data the six place ranking is continuous
- The number of people trying out for the team is continuous data the seventh Place ranking is discrete
- The six minute half mile time is continuous data the number of people trying out for team is discrete data
- The number of people wanting to try out for the team is continuous the different events are discrete
Using the concepts of discrete and continuous variables, it is found that the correct option is:
The six minute half mile time is continuous data the number of people trying out for team is discrete data
Continuous variables: Assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...In this problem, the number of people can be 0, 1, 2, ..., so it is discrete.
The half mile time can be a decimal values, such as 2.5 minutes, hence, it is continuous.A similar problem is given at https://brainly.com/question/14773062
HELP!!! answer quickly pls
Which expressions are equal to 8 × 10 5 squared? Select all that apply.
The expression equal to 8 × 10 5 squared is 64 × 10^10
What is scientific notation?
Scientific notation is a mathematical way of expressing numbers that are too large or small to be written in decimal form.
Given the expression;
(8 × 10^ 5)²
expand the bracket
(8)² × (10)^ 5× 2
Find the squares
64 × 10^10
This is expressed as;
64 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Thus, the expression equal to 8 × 10 5 squared is 64 × 10^10
Learn more about scientific notation here:
https://brainly.com/question/27862246
#SPJ1
What is the angle between the vector 3–√i j3i j and the positive x-axis?
The angle between the vector (3 - √2)i + 3j and the positive x-axis can be determined using trigonometry.
To find the angle between the vector and the positive x-axis, we can use the arctan function. The angle can be calculated by taking the arctan of the y-component divided by the x-component of the vector.
In this case, the vector is given as (3 - √2)i + 3j. The x-component is 3 - √2, and the y-component is 3. Using the arctan function, we can calculate the angle as arctan(3 / (3 - √2)).
By substituting the values into a calculator or using trigonometric identities, we can find the angle. It is important to note that the arctan function returns an angle in radians. If we want the result in degrees, we can convert it by multiplying the result by 180/π.
Learn more about trigonometric identities here:
https://brainly.com/question/24377281
#SPJ11
A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?
*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*
Answer:
$54.01
Step-by-step explanation:
All you have to do is $300.00-$245.99 .