It will take 50 seconds for the person to travel from one end to the other at the current speed.
How long will it take to move from one end to the other?
We know that the person travels 28 feet in 7 seconds, remember that speed is defined as the quotient between distance and time, then the person's speed is:
s = 28ft/7s = 4ft/s
Now we want to find the time T that it takes for the person to travel the 200 feet of the sidewalk, then we need to solve:
(4ft/s)*T = 200ft
T= 200ft/(4 ft/s) = 50s
It takes 50 seconds.
Learn more about speed at:
https://brainly.com/question/4931057
#SPJ1
Which situation can be represented by y = 4x?
Responses
There are y cats and x dogs in a shelter. The cats and dogs each have 4 legs.
There are , y, cats and , x, dogs in a shelter. The cats and dogs each have 4 legs.
A recipe uses y cups of flour and x cups of sugar. The amount of flour is 4 times the amount of sugar.
A recipe uses , y, cups of flour and , x, cups of sugar. The amount of flour is 4 times the amount of sugar.
Tricia is y years old. This is 4 years older than her younger brother, Max, who is x years old.
Tricia is , y, years old. This is 4 years older than her younger brother, Max, who is , x, years old.
Sebastian buys y sacks of groceries. Each sack weighs 4 pounds. He carries x pounds of groceries home from the store.
Sebastian buys , y, sacks of groceries. Each sack weighs 4 pounds. He carries , x, pounds of groceries home from the store.
Answer:
a recipe uses y cups of flour and x cups of sugar the amount of flour is 4 times the amount of sugar
my proof I took the quiz
Amir notices that 3 out of every 50 cars that pass by his window
are green. If he observes 400 cars, what is the best estimate for how
many of them will be green?
Answer:
24 cars are green
Step-by-step explanation:
We know
Amir notices that 3 out of every 50 cars that pass by his window are green.
So, the ratio is 3:47
To get from 50 to 400, we time 8.
If he observes 400 cars, what is the best estimate of how many will be green?
We take
3 x 8 = 24 cars are green
So, there will be 24 cars that are green.
(03.03 LC)
How does the graph of g(x) = (x - 2)3 + 7 compare to the parent function f(x) = x³?
The graph of g(x) = (x - 2)^3 + 7 is a transformation of the parent function f(x) = x^3.
The parent function f(x) = x^3 has a shape that is symmetrical about the origin and increases as x moves away from the origin. The graph of g(x) = (x - 2)^3 + 7 is also symmetrical about the origin, but it has been translated 2 units to the right and 7 units up from the parent function.
So, the graph of g(x) = (x - 2)^3 + 7 is similar in shape to the parent function f(x) = x^3, but it is shifted to the right and up on the coordinate plane.
PLS HELP ANSWER QUICK PLEASE SHOW WORK
Answer: NIKES
Step-by-step explanation:
BEFAUSE 5/2 IS THE WHG0LE D[IWJAEOIDHNC;SHCOWIADHJA[OISHWNIOD
Answer: the answer is nike
Step-by-step explanation: Because the shipping fee on callaway is more than the order.
in a train yard there are tank cars, boxcars, and flatcars. how many ways can a train be made up consisting of tank cars, boxcars, and flatcars? (in this case, order is not important.)
There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.
If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:
C(n + k - 1, k - 1)
where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:
C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)
There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:
C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55
Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars
To know more about concept of combinations.
https://brainly.com/question/23760736
#SPJ4
help plsssssssssssssss
What is FG?
pls help this is hard
Answer:
FG = 18
Explanation:
There is a simpler solution:
It has to do with the interior angle bisector theorem. (the illustration with the angle marks and the line show that it is being bisected)
Which will divide the opposite side into segments whose lengths have the same ratio as the adjacent sides of the bisected angle.
x / 24 = x + 10 / 54 →
54x = 24(x + 10) →
54x = 24x + 240 →
30x = 240 →
x = 8.
Since the expression x + 10 represents the length of FG, it's length must be 18.
Choose the appropriate method for solving the following systems of equations.
The appropriate methods are
y = x + 8 and y = 4x + 2 - Substitution method
2x + 6y = 18 and x + 5y = 13 - Elimination method
y = 3x + 3 and y = x + 7 - Substitution method
4x + 7y = 10 and -3x + y = -1 - Elimination method
Elimination method:In this approach, the equation in one variable is obtained by either adding or subtracting the equations. We can add the equation to delete a variable if its coefficients are the same and have the opposite sign from the other variables.
Similarly to this, we can subtract the equation to get the equation in one variable if the coefficients of one of the variables are the same and their signs are the same.
From the given options, the system of equations
2x + 6y = 18 and x + 5y = 13
4x + 7y = 10 and -3x + y = -1
Can be solved using the Elimination method
Substitution method:The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another. In this manner, a pair of linear equations are combined into a single, simple linear equation with just one variable.
From the given options, the system of equations
y = x + 8 and y = 4x + 2
y = 3x + 3 and y = x + 7
Can be solved by using the Substitution method
Therefore,
The appropriate methods are
y = x + 8 and y = 4x + 2 - Substitution method
2x + 6y = 18 and x + 5y = 13 - Elimination method
y = 3x + 3 and y = x + 7 - Substitution method
4x + 7y = 10 and -3x + y = -1 - Elimination method
Learn more about the Substitution method at
https://brainly.com/question/22340165
#SPJ1
19 ounces of canned corn for $3.61
Step-by-step explanation:
106 ounces106 ouncesThis 10 can contains 106 ounces of corn, making it ideal for foodservice operators and large gatherings.don't forget to smile today
and make brainalist
The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden. Part 1 Enter an expression that represents the area of Mary's new garden. An expression that represents the area is Part 2 out of 2 Evaluate the expression if the side length of Mary's original garden was 9 feet. The area of Mary's new garden is square feet
Part 1: If Mary doubles the area of her original square garden, the expression that represents the area of Mary's new garden is 2x^2.
Part 2: If the side length of Mary's original garden is 9 feet, the area of Mary's new garden is 162 square feet.
Part 1: If Mary doubles the area of her original square garden, the new area of her garden will be 2 times the area of her original garden.
If the area of her original garden is x^2, then the area of her new garden will be:
2(x^2) = 2x^2
So, the expression that represents the area of Mary's new garden is 2x^2.
Part 2: If the side length of Mary's original garden is 9 feet, then the area of her original garden is:
x^2 = (9 feet)^2 = 81 square feet
To find the area of Mary's new garden, we can substitute 81 for x^2 in the expression we found in Part 1:
2x^2 = 2(81 square feet) = 162 square feet
So, the area of Mary's new garden is 162 square feet.
To learn more about area click on,
https://brainly.com/question/12038084
#SPJ4
Shelly incorrectly solves the equation 4−2x=−2.
Answer:
x=3
Step-by-step explanation:
x=3
4-2x=-2
-2x=-6
x=3
Answer:
Positive
Step-by-step explanation:
She incorrectly solved it because 4-2x = 2 ( Positive )
Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses 1 4 of its value every year. Write an exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase. Use whole numbers, decimals, or simplified fractions for the values of a and b.
Answer:
y= 2200 (3/4)x
Step-by-step explanation:
You can model a real-world situation involving an initial value and a constant growth or decay factor with an exponential equation in the form y=a(b)x, where b>0 and b≠1.
The constant a represents the initial value. It is the y-value of the equation when x=0.
The constant b represents the growth or decay factor.
When the equation models exponential growth, b>1.
When the equation models exponential decay, 0<b<1.
An exponential equation in the form y=a(b)x can model the value of the machine, y, x years after purchase. To write the equation, first look for phrases in the problem that tell you about the initial value, a, and the growth or decay factor, b.
Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses 1/4 of its value every year.
The constant a is the initial value. The initial value of the machine is $2,200. So, a=2,200.
The constant b is the decay factor, since the value of the machine is decreasing. The machine loses 1/4 of its value each year. In other words, the value of the machine each year will be 1–1/4= 3/4
times the value the year before. So, b= 3/4.
The exponential equation y= 2200 (3/4)x models the value of the machine.
An exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase is y= 2200*14*x
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. In mathematics, a linear equation is an equation that may be put in the form [tex]{\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}}[/tex] are the coefficients, which are often real numbers.
Given that;
The cost of tshirt printing machine= $2200.
The lose of machine= 14
Now,
Substituting all the values in equation y=a(b)x
a=2200
b=14
y=2200*14*x
Therefore, the linear equation of the question will be y=2200*14*x
Learn more about exponential equation ;
https://brainly.com/question/29506679
#SPJ9
Help me please! So how do I put these from LEAST to GREATEST : -29/2, 14.25, -14.3, 14%
Solve for x *
est
45
O x = 50
O x = 8
O x = 48.2
O x = 40.5
20
S
18
R
The value of x for the similar triangles is given as follows:
x = 40.5.
What are similar triangles?Similar triangles share these two features:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.A bisection divides a triangle into two similar triangles, hence the proportional relationship for the side lengths is given as follows:
x/45 = 18/20
18/20 = 0.9, hence:
x/45 = 0.9
x = 45 x 0.9
x = 40.5.
Meaning that the fourth option is the correct option.
More can be learned about similar triangles at brainly.com/question/11920446
#SPJ1
Lineshasaslopeof
–8
9. Line
tisparalleltoline
s. What
istheslopeofline
t ?
Answer: 4
Step-by-step explanation:
What is the average rate of change of the function -4≤x≤0
Answer:
The average rate of change of a function over an interval is a measure of how the function's value changes over that interval, given by the ratio of the change in the function's value to the change in the independent variable. To find the average rate of change of a function over an interval, we need to know the function's values at two points in the interval.
In the case of the function f(x) = x^2, the interval is -4 ≤ x ≤ 0. To find the average rate of change, we need to find the difference in the function's value between two points in this interval, and divide that by the difference in the x-values.
For example, if we compare the values of the function at x = -4 and x = 0, we have:
f(-4) = (-4)^2 = 16
f(0) = 0^2 = 0
The difference in the function's value is f(0) - f(-4) = 0 - 16 = -16.
The difference in the x-values is x2 - x1 = 0 - (-4) = 4.
So the average rate of change over this interval is the difference in the function's value divided by the difference in the x-values, or -16 / 4 = -4.
In other words, the average rate of change of the function f(x) = x^2 over the interval -4 ≤ x ≤ 0 is -4, meaning that for every 4 units of change in x, the function value decreases by 16 units.
Step-by-step explanation:
Arrange the digits 6, 0, 3, 2, and 4 to create the greatest possible five-digit number.
Answer:
The greatest possible five-digit number you can create with the numbers 6, 0, 3, 2, and 4 is 64,320.
Step-by-step explanation:
When it comes to creating the biggest number with a given set of digits, the one and only rule is to organize the digits from greatest to least, this way it ensures that you have the maximum possible values that aren't mitigated by having a small number before a larger one. Based on this, we can organize 6, 0, 3, 2, and 4 from greatest to least, which will be 64,320. Hence, the greatest possible five-digit number you can create with those given numbers is 64,320.
Have a great day! Feel free to let me know if you have any more questions :)
Mya uses a potato chip can to store small items. each cylindrical can has a radius of 2.5 inches and a height of 9 inches. what is the approximate surface area of the can? (use 3.14 for π.)
The approximate surface area of the can is 180.55 sq.inches
A cylinder's surface area is the area that its surface takes up in three dimensions. A three-dimensional structure known as a cylinder has circular bases that are parallel to one another. There are no vertices on it. Area of three-dimensional shapes often refers to surface area. Square units are used to denote the surface area. Examples include cm2, m2, and so forth. A group of circular discs placed on top of one another might be thought of as a cylinder. The cylinder has both surface area and volume since it is a solid with a three-dimensional geometry.
The area of the cylinder is determined by adding the areas of its two circular bases and curving surface.
The Surface Area of Cylinder = Curved Surface + Area of Circular bases
S.A. (in terms of π) = 2πr (h + r) sq.unit
Where, π (Pi) = 3.142 or = 22/7
r = Radius of the cylinder
h = Height of the cylinder
cylindrical can has a radius of 2.5 inches and a height of 9 inches
surface area =2πr (h + r) sq.unit
= 2π*2.5(9+2.5)
=180.55 sq.inches
know more about cylinder click here;
https://brainly.com/question/14350580
#SPJ4
each of two persons tosses three fair coins. what is the probablity they obtain same number of heads
The probability of obtaining the same number of heads is 3/8 or 0.375 when each of two persons tosses three fair coins.
The probability that two persons will obtain the same number of heads depends on the number of possible combinations of heads and tails that can be obtained by each person.
Since each coin flip results in either a heads or tails, there are 2 possible outcomes for each flip. Therefore, for three coin flips,
there are 2^3 or 8 possible combinations of heads and tails.
Out of these 8 combinations, there are 3 in which both persons have the same number of heads (i.e., 0 heads, 1 head, or 3 heads).
So, the probability of obtaining the same number of heads is 3/8 or 0.375.
Learn more about probability :
https://brainly.com/question/30034780
#SPJ4
In a survey of 20 sophomores at a high school, 8 students said that they would prefer a class field trip to an amusement park, rather than a museum. The sophomore class has 150 students. Predict the number of sophomores who prefer a class trip to an amusement park.
Answer:
60 sopomores
Step-by-step explanation:
Let X denote the event prefer amusement park on a field trip
The probability that a sophomore will opt for a class trip to an amusement park would be 8/20 = 2/5 based on survey results
P(X) = 2/5
Based on this probability, if the number of sophomores is 150 then expected number of sophomores who prefer the amusement park trip
E(X) - P(X) x N where N is the total number of sophomores
E(X) = 2/5 x 150 = 60
the soup shack usually makes tomato soup with 9 99 tomatoes for every 12 1212 bowls of soup. today, they used 6 66 tomatoes to make 8 88 bowls of soup. how does the tomato taste in today's soup compared to the usual recipe?
The taste of the tomato in today's soup compared to the usual recipe is same .
We find the tomato to soup ratio for each day to compare the taste of tomato in today's soup with the usual recipe,
For the usual recipe, the soup shack uses 9 tomatoes for every 12 bowls of soup, which can be simplified to a ratio of 9:12 ⇒ 3:4 .
This means that for every 3 parts of tomato, there are 4 parts of soup.
For today's soup, the soup shack used 6 tomatoes to make 8 bowls of soup, which can be simplified to a ratio of 6:8 ⇒ 3:4.
This means that for every 3 parts of tomato, there are 4 parts of soup, which is the same as the usual recipe.
Therefore, based on the tomato to soup ratio, the taste of tomato in today's soup is same as the usual recipe.
Learn more about Ratio here
https://brainly.com/question/21358891
#SPJ4
The given question is incomplete , the complete question is
The soup shack usually makes tomato soup with 9 tomatoes for every 12 bowls of soup. today, they used 6 tomatoes to make 8 bowls of soup.
How does the tomato taste in today's soup compared to the usual recipe ?
You need to score at least 1500 points on your new video game to abstain the high score. You get 300 points after completing each level. Write a solve an inequality to find the number of levels you must bet to obtain the high score.
Answer:
the answer is 4
Step-by-step explanation:
hope this helps
Determine algebraically whether the function is even, odd, or neither?
f(x)=3 x 3+5
The function f(x) = 3x³ + 5 is neither even nor odd. To determine whether a function is even or odd, you need to check how the function behaves when x is replaced with -x.
To determine whether the given function is even, odd, or neither, we need to check the following conditions:
Even function: If f(-x) = f(x) for all x in the domain of f, then the function is even.
Odd function: If f(-x) = -f(x) for all x in the domain of f, then the function is odd.
Let's check these conditions for the given function:
f(x) = 3x³ + 5
f(-x) = 3(-x)³ + 5 = -3x³ + 5
f(x) = 3x³ + 5
Since f(-x) is not equal to f(x), the function is not even.
f(-x) = 3(-x)^3 + 5 = -3x^3 + 5
-f(x) = -(3x^3 + 5) = -3x^3 - 5
Since f(-x) is not equal to -f(x), the function is not odd.
Therefore, the given function is neither even nor odd.
Learn more about algebra here: brainly.com/question/24875240
#SPJ4
If student 1 had 147 likes and student 2 had 42 did student 2 have a higher or lower percentage of likes than student 1 ?
Student 2 has lower percentage of likes as compare to student 1 ,it is equal to 71.5%.
Number of likes of student 1 is equal to 147
Number of likes of student 2 is equal to 42
147 > 42
⇒Number of likes of student 1 is greater than student 2
Difference between number of likes
= 147 - 42
= 105
Percentage difference = ( 105 / 147 ) × 100
= 71.5%
Student 2 has 71.5% lower percentage of likes than student 1
Therefore, student 2 has lower percentage of likes than student 1 which is equal to 71.5%.
Learn more about percentage here
brainly.com/question/28269290
#SPJ4
Need Help Find EI And ST
Answer:
Step-by-step explanation:
So first what you got to do is add and mulytplie
Could somebody please tell me what angles A and B equal along with X?
Answer:
x = 28
m∠A = 76°
m∠B = 104°
Step-by-step explanation:
Given the figure we can see that the two angles which measure
2x + 20 and 4x - 8 are adjacent linear angles and therefore they are supplementary angles which further means they add up to 180°
So
2x + 20 + 4x - 8 = 180
2x + 4x + 20 - 8 = 180\
6x + 12 = 180
6x = 180 - 12
6x = 168
x = 168/6
x = 28
We also have the property that angles that are vertically opposite each other at the vertex of the intersection of two lines are equal
So the angle represented by 2x + 20 = 2(28) + 20 = 56 + 20 = 76°
∠A is a vertically opposite angle to this angle and therefore the magnitude of ∠A denoted by m∠A = 76°
The angle represented by 4x - 8 = 4(28) - 8 = 112 - 8 = 104°
Since ∠B is a vertically opposite angle to this angle we have
m∠B = 104°
The point equidistant from the three sides of a triangle isA. CircumcentreB. CentroidC. IncentreD. Orthocentre
The point equidistant from the three sides of a triangle is (c) Incenter .
The Circumcenter of a triangle is defined as a point where perpendicular bisectors of sides of triangle intersect. It is also equidistant from 3 vertices of triangle .
The Centroid is defined as a point where 3 medians of the triangle intersect.
The Incenter is defined as a point where angle bisectors of the triangle intersect. It is equidistant from the three sides of the triangle, and is the center of the inscribed circle of the triangle .
The Orthocenter is defined as a point where the 3 altitudes of the triangle intersect.
So , by the definition of the Incenter , the correct option is (c) Incenter .
Learn more about Triangle here
https://brainly.com/question/28912364
#SPJ4
The given question is incomplete , the complete question is
The point equidistant from the three sides of a triangle is
(a) Circumcenter
(b) Centroid
(c) Incenter
(d) Orthocenter
1) A function f(x), which contained the point (5,4) was transformed with the rule 2f (x-3) + 4. What would
be the new coordinates of that point?
(2,-2)
The solution is, point (5,4) will correspond to (5,8).
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
1) To find that the corresponding points, let'-s plug it into that formula:
(5,4)
If we plug 5 and we have output the number 4,
then f(x) is y=x-1
now,
2f(x-3)+4 is the function f(x) with a horizontal shift of 3 units to right, a vertical stretch 4, a reflection.
2) y=2(5-3)+4 then y=2(2)+4
y=8
So point (5,4) will correspond to (5,8)
To learn more on transformation click:
brainly.com/question/20211457
#SPJ1
What is the y-intercept (b) of the line that passes through (1,1)(2,5) You must solve for slope (m) first.
b=
Answer:
slope (m) is 4, y-intercept (m) is -3
Step-by-step explanation:
y=4x-3
use y¹-y² over x¹-x² to find slope, then use one of the points to fill in for x and y to find y-intercept
what answer below best addresses the following statistical problem? a new advertisement for ben and jerry's ice cream introduced in late may of last year resulted in a 30% increase in ice cream sales for the following three months. does this mean that the advertisement was effective? a. yes, because an increase in sales means the advertisement worked. b. no, because the increase in sales was all caused by another variable (specifically a change in weather) c. uncertain, because there are other variables at play and correlation does not equal causation d. uncertain, because it's impossible to measure the effectiveness of advertising.
The correct answer to this statistical problem is (c) uncertain, because there are other variables at play and correlation does not equal causation.
In this scenario, we're looking at the sales of Ben and Jerry's ice cream before and after the advertisement was introduced. The sales increased by 30% for the following three months after the advertisement. So, does this mean that the advertisement was effective? The answer is not as straightforward as a simple "yes" or "no."
Option (c) acknowledges that there are other variables at play and that correlation does not equal causation.
This is the most accurate answer because it recognizes that while the increase in sales may be related to the advertisement, it's impossible to say for sure whether the advertisement was the cause of the increase in sales.
There could be other factors, such as the weather or a change in consumer preferences, that also contributed to the increase in sales.
To know more about sales here.
https://brainly.com/question/29857652
#SPJ4