A ticket to a street festival costs $5. It costs an additional $3 for each game played. Jon spent $26 on his ticket and games
The statement "Boson played fewer games than Jon" is true since he spent less money overall in the system of equations and the cost of each game is the same for all three people.
Let x be the number of games played by each person. Then we can write the following system of equations:
Jon's total cost = 5 + 3x
Mandy's total cost = 5 + 3x
Boson's total cost = 5 + 3x
Simplifying each equation gives:
Jon's additional cost = 3x
Mandy's additional cost = 3x
Boson's additional cost = 3x
Adding the cost of the ticket to each person's additional cost gives:
Jon's total cost = 20
Mandy's total cost = 29
Boson's total cost = 14
Learn more about the system of equations at
https://brainly.com/question/21620502
#SPJ4
The question is -
A ticket to a street festival costs $5. It costs an additional $3 for each game played. Jon spent $2o on his ticket and games. Mandy spent $29 on her ticket and games, and Boson spent $14 on his ticket and games. Given this information, which statement is true?
find the area and perimeter
The area and perimeter of the shape are 370mm² and 90mm respectively.
What is area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
Perimeter is the addition of the sides of the shape.
Therefore, the perimeter of the shape = 15+15+30+30 = 30+60 = 90mm
The area of the shape = area of the whole shape - area of the cut out
area of the whole shape = l×w
= 30×15 = 450mm²
area of the cut out =l×w
8× 10 = 80mm²
area of the shape = 450-80
= 370mm²
learn more about area and perimeter from
https://brainly.com/question/19819849
#SPJ1
What is the length of the hypotenuse of the triangle?
A)8cm
B)5cm
C)3cm
D)2cm
Answer: 5
Step-by-step explanation: Use Pythagorean Theorem!
a^2+b^2=c^2
a=leg
b=leg
c=hypotenuse
4^2+3^2=c^2
16+9=25
25 squared root is 5!
A farmer is purchasing feed for his chickens. Before tax, a large bag of chicken feed costs $35. The farmer wants to know the total price, including the 5% sales tax.
Pls Help
$36.75 is the price of chicken feed.
Given that,
A farmer is purchasing feed for his chickens. Before tax, a large bag of chicken feed costs $35. The farmer wants to know the total price, including the 5% sales tax.
To find tax:
5/100 * 35
*5% basically means 5 out of 100%.
The Tax is $1.75.
Then, to find the price of chicken feed, we add the tax with $35.
So...
1.75 + 35
=36.75
Answer:
$36.75
To learn more on percentage click:
brainly.com/question/13450942
#SPJ1
Need answer now please
Answer:
a and c
Step-by-step explanation:
Answer: D would be the right chose
Step-by-step explanation:
hope this helps
the diameter of a cylindrical construction pipe is 6ft. if the pipe is 26 ft long, what is the volume? use the value 3.14 and round your answer to the nearest whole number
Answer:
Step-by-step explanation:
The radius of the cylindrical construction pipe is half of the diameter, which is 6/2 = 3 feet. Using the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height (or length in this case), we can calculate the volume of the pipe:
V = 3.14 × 3^2 × 26
V ≈ 2198
Rounding to the nearest whole number, the volume of the pipe is 2198 cubic feet.
hi please help me ill give brainliest
The maximum value of the function on the closed interval is 11
How to find the maximum valueGiven the function
f(x) = 2x + 5, with interval [-10, 3].
First need to find the critical points of the function within the interval and compare their values. The critical points occur when the derivative of the function is equal to zero or undefined.
first order derivative of f(x):
f'(x) = 2 ≠ 0 (no critical points)
Since the interval is bounded, the maximum value of the function occurs at either one of the endpoints or at a critical point outside the interval.
At x = -10,
f(-10) = 2(-10) + 5 = -15
At x = 3,
f(3) = 2(3) + 5 = 11
Therefore, the maximum value of f(x) on the closed interval [-10, 3] is 11, which occurs at x = 3.
Learn more about maximum value here:
https://brainly.com/question/30236354
#SPJ1
28 At the farmers market, cherry tomatoes cost $4.50 for 3 pounds, and heirloom tomatoes cost $5.98 for 2 pounds. What is the difference in the unit costs of the tomatoes? A $1.54 B. $1.49 C $1.48 D $0.49
Answer: B. $1.49
Step-by-step explanation:
1.) Find how much one pound of cherry tomatoes would cost. To do so, do
4.50 (the cost for 3 lbs for cherry tomatoes) /3 (the number of pounds), which would be $1.50 per pound of cherry tomatoes.
2.) Find how much one pound of heirloom tomatoes would cost. To do so, do 5.98 (the cost for 2 pounds for heirloom tomatoes) /2 (the number of pounds), which would be $2.99 per pound of heirloom tomatoes.
3.) Subtract. To find the "difference" in the unit costs of the tomatoes, do 2.99-1.50=1.49.
Therefore, the difference in the unit costs of the tomatoes is B. $1.49.
Jackie is using spherical beads to to create a border around a picture frame. Each bead has a diameter of 1.5 millimeters. It will take a total of 360 beads to create the border. What is the approximate total volume of the beads that form the border of the picture frame?
Answer:
Step-by-step explanation:
The diameter of each bead is 1.5 millimeters, which means the radius of each bead is 0.75 millimeters (since radius = diameter/2).
The volume of a sphere is given by the formula V = (4/3)πr^3.
Substituting the radius of each bead into the formula, we get:
V = (4/3)π(0.75)^3 ≈ 1.7671 cubic millimeters
To find the total volume of the 360 beads used to create the border of the picture frame, we can simply multiply the volume of one bead by the total number of beads:
Total volume = 360 × 1.7671 ≈ 635.76 cubic millimeters
Therefore, the approximate total volume of the beads that form the border of the picture frame is about 635.76 cubic millimeters.
For the function -3x^2+12
find the interval(s) over which the function is decreasing.
To find the interval(s) over which the function -3x^2+12 is decreasing, we need to find the critical points of the function and test the sign of the derivative on either side of these points.
The derivative of the function -3x^2+12 is -6x.
Setting the derivative equal to zero to find the critical points:
-6x = 0
x = 0
Testing the sign of the derivative on either side of x = 0:
-6x is negative for x > 0, meaning the function is decreasing on the interval (0, infinity).
-6x is positive for x < 0, meaning the function is increasing on the interval (-infinity, 0).
Therefore, the interval over which the function -3x^2+12 is decreasing is (0, infinity).
Consider the rectangle and square shown. A. What are the possible values of x? Explain. B. Does the square or the rectangle have the greater area? Explain. C. What is the difference in the areas? Module 15 : Larron (x - 2) cm x cm (x - 1) cm (x - 1) cm
The possible values of x are numbers greater than 2, that is x > 2. The square have a greater area than the rectangle, and the difference in areas is 1 cm²
How to evaluate for x of the rectangle and squareAll values equal to or less than 2 will result to either negative or a zero for the width of the rectangle, thus only numbers greater than 2 can give positive side lengths so possible values of x > 2.
If x = 3 then;
Area of rectangle = 3 cm × (3 - 2) cm
Area of rectangle = 3 cm²
Area of square = (3 - 1)cm × (3 - 1) cm
Area of square = 2 cm × 2 cm
Area of square = 4 cm²
For any value of x greater 2, the difference in the areas is 1 cm²
Therefore, the possible values of x are numbers greater than 2, that is x > 2. The square have a greater area than the rectangle, and the difference in areas is 1 cm²
Read more about area here:https://brainly.com/question/30519458
#SPJ1
the variable which is being forecasted is referred as:endogenous variableindependent variableexplanatory variableexogenous variable
The variable which is being forecasted is referred as option A: endogenous variable.
A variable in a statistical or economic model that is explained by or determined by other variables inside the model is known as an endogenous variable. In other words, the endogenous variable's value depends on the values of other model variables.
Exogenous variables are often thought of as external or independent factors that may have an impact on endogenous variable values but are not directly impacted by them. A variable that is used to predict or explain the values of another variable, also known as the dependent variable, is known as an explanatory variable.
To know more about endogenous variables, refer:
https://brainly.com/question/29856090
#SPJ4
Correct question:
The variable which is being forecasted is referred as:
endogenous variable
independent variable
explanatory variable
exogenous variable
Q1.
Draw and label the axis of symmetry for the given object and image.
The axis of symmetry for the given object and image is added as an attachment
Drawing and labeling the axis of symmetryFrom the question, we have the following parameters that can be used in our computation:
The object and the image
By definition, the axis of symmetry is any line that divides a shape and its image into symmetrical parts i.e. into identical shapes and sizes
In this case, the axis of symmetry would be a vertical line that divides both triangles in to identical figures
Using the above definition as a guide, we can draw the axis of symmetry for the object and image & then label it AB
Read more about axis of symmetry at
https://brainly.com/question/28180581
#SPJ1
SOMEONE PLS SEE THIS, I NEED HELP RNN!!!
A jelly bean is selected at random from a jar and is not returned. The jar contains 8 red, 2 green, 4 blue, and 7 pink jelly beans. Which is the probability of selecting a red jelly bean the first draw and a blue jelly bean on the second draw?
(A) 4/7
(B) 1/70
(C) 8/105
(D) 32/441
8/105 is the probability of selecting a red jelly bean the first draw and a blue jelly bean on the second draw, Therefore option C is correct.
The probability of selecting a red jelly bean on the primary draw is 8/(8+2+4+7) = 8/21, for the reason that there are 8 red jelly beans out of a complete of 8+2+4+7 = 21 jelly beans.
Since the jelly bean is not returned to the jar after the first draw, the number of jelly beans in the jar decreases through 1. consequently, on the second draw, there are 20 jelly beans left within the jar.
Out of those 20 jelly beans, 4 are blue. for that reason, the possibility of selecting a blue jelly bean on the second one draw, given that a red jelly bean was selected on the first draw, is 4/20 = 1/5.
To discover the probability of both events going on collectively & we multiply the probabilities of the 2 events:
P(red on 1st and Blue on 2d) = P(red on 1st) * P(Blue on 2nd | red on 1st)
P(red on 1st and Blue on 2nd) = (8/21) * (1/5)
P(red on 1st and Blue on 2nd) = 8/105
Therefore, 8/105 is the probability of selecting a red jelly bean the first draw and a blue jelly bean on the second draw
Learn more about probability:-
https://brainly.com/question/13604758
#SPJ1
A garden is sodded in the shaded portion below .How many square feet were covered with sod?It is 9 1/4 by 20 by 6
in a school of 225 students 80 of them study Arabic only and 125 study french.
each students studies at least one of the two subjects
draw a Venn diagram to represent the information
how many study
i both subject
ii french
The requried number of students that study both language and French is 20 and 145 respectively.
From the information given, we know that:
The total number of students is 225.
80 students study Arabic only.
125 students study French (which includes some who also study Arabic).
To find the number of students who study both subjects, we can subtract the number of students who study Arabic only from the total number of students who study French:
= 225 - 80 -125
= 20
Now the number of students who study French is given as:
= 20 + 125
= 145
Thus, the requried number of students that study both language and French are 20 and 145 respectively.
Learn more about the Venn diagram here:
https://brainly.com/question/29301560
#SPJ1
Calculator What is the value of b? Enter your answer in the box. b= 16 34 b
Answer:
Step-by-step explanation:
Use pythagorean the hypotenuse is always across from th right angle and is the longest in a right triangle
34² = 16² + x²
1156 = 256 + x² bring 256 over to other side by subtracting
900 = x² take square root of both sides to solve for x
x = 30
Answer:
value of b = 30Step-by-step explanation:
In the given figure,
34 is Hypotenuse i.e the largest side
16 is perpendicular
b = Base
Using Pythagoras theorem,
(Hypotenuse)² = (Perpendicular)² + (Base)²
(34)² = (16)² + (b)²
1156 = 256 + b²
1156 - 256 = b²
900 = b²
b = √900
b = 30
Therefore, Value of b is 30.
narrator that's right! there needs to be motivation to change for employees. so what can you ask the vp and analyst in the unfreezing stage in order to influence change? should we survey a sample set of employees at each of our locations to ask what they dislike about the current system? should we survey a sample set of employees at each of our locations to ask their opinions on whether we should change systems or not? should we mandate change now? should we even be changing?
It's crucial to take a collaborative approach and involve employees in the change process as much as possible.
In the unfreezing stage, it is important to gather information and input from various stakeholders in order to influence change effectively. Therefore, asking the VP and analyst questions such as "What do you think are the areas that need improvement in our current system?" or "How do you think changing the system would benefit our organization?" can provide valuable insight into the motivation for change.
Surveying a sample set of employees at each location to ask their opinions on the current system and whether they think changes are necessary is also a good approach. This can help to identify common pain points and gauge the level of employee buy-in for potential changes. It's important to also consider other factors such as the cost and feasibility of implementing changes, as well as potential risks and benefits.
Mandating change without proper analysis and buy-in from employees may lead to resistance and resentment. Ultimately, the decision to change or not should be based on a thorough assessment of the situation, including feedback from stakeholders and the potential impact on the organization.
Learn more about stakeholders here:
https://brainly.com/question/30463383
#SPJ4
Midland Electronics is advertising that everything in their store is 10% off. If p represents the original price of an item in
their store, then the sale price of the item can be represented by the expression p - 0.1p.
A. Write an equivalent expression to represent the sale price of the item.
B. Using complete sentences, describe how the sale price can be found in two different ways.
Results:
A. An equivalent expression to represent the sale price of the item of p - 0.1p = 0.9p.
B. The different ways to be used to find the sale price of an item in Midland Electronics are:
(i) We can take the original price of the item and multiply it by 0.9, which is the percentage of the original price that is being paid after the 10% discount.
(ii) Or we can subtract the discount amount from the original price, where the discount amount is equal to 0.1 times the original price.
Both of these methods lead to the same sale price of the item.
How to write an equivalent expression to represent the sale price of the item?We can write the expression by:
Simplify the expression p - 0.1p by factoring out the common factor of p:
p - 0.1p = p(1 - 0.1)
Simplifying further, we can see that 1 - 0.1 equals 0.9
Substitute the value back into the expression:
p - 0.1p = p(1 - 0.1)
= p(0.9) = 0.9p
Thus, an equivalent expression of p - 0.1p = 0.9p
Learn more about expression at brainly.com/question/1859113
#SPJ1
plsss help!!
Which list is ordered from least to greatest?
L) 72.14
M) 723.99
N) 7.323
0) 7.358
P) 91.34
A) M,L,P,N,O
B) N,O,P,L,M
C) N,O,L,P,M
D) L,M,P,N,O
Answer:
C
Step-by-step explanation:
7.3<7.4<72.14<91.34<723.99
The graph of f(x)= |x| is shifted to the right 3 units and stretched vertically by a factor of 4.
Write the function that describes the graph of the transformed function
100 points plus brainlyest to whoever answers quickest
If the function's f(x) = |x|, graph is shifted right by 3 units, and vertically stretched by a factor of "4", then function which best describes the transformed-function is 4|x-3|.
Let the transformed function be : g(x); The transformed function g(x) is obtained by applying two transformations to the original function f(x) = |x|.
The "first-transformation" is to make a "horizontal-shift" (right-shift) of 3 units. This means that the entire graph of the function is shifted to the right by 3 units, so, function becomes |x-3|.
The "second-trans-formation" is to stretch the graph vertically by a factor of 4. This means that the entire graph of the function is stretched vertically,
Now, the function becomes, g(x) = 4|x-3|.
Therefore, the transformed function is 4|x-3|.
Learn more about Function here
https://brainly.com/question/28623576
#SPJ1
you may use your xl data analyst software to generate a sample size, but you must estimate p and specify your allowable error. true false
The statement is true. In order to generate a sample size using XL data analyst software, you must first estimate the population proportion (p) and specify your allowable margin of error.
Estimating p involves making an educated guess about the proportion of the population that possesses a certain characteristic or meets a certain criteria. This estimation can be based on prior research, historical data, or your own observations. It is important to note that your estimation of p will affect the size of your sample, with a larger sample size needed for smaller values of p.
Know more about the proportion
https://brainly.com/question/1496357
#SPJ11
10 in 4 in Find the area. ¹8 in 1 12 in Area of Figure = Area of □ = 48 in² Area of A = [?] in² Remember: A₁ = bh in²
The figure is composed of a rectangle and a triangle, therefore, the area is calculated as: 96 square inches.
Area of the triangle = 48 square inches.
What is the Area of the Composite Figure?The composite figure is composed of a triangle and a rectangle. Therefore, we have:
Area = area of triangle + area of rectangle
Area of rectangle = length * width = 12 * 4 = 48 square inches.
Area of the triangle = 1/2 * base * height = 1/2 * 12 * 8 = 48 square inches.
The area of the composite figure = 48 + 48
= 96 square inches.
Learn more about area of composite figure on:
https://brainly.com/question/15981553
#SPJ1
Directions: Rewrite each of the following using the powers of 10.
1) 79 x 10 =
2) 15 x 100 =
3) 22 x 1,000 =
4) 15 x 1,000 =
5) 83 x 102 =
6) 23 x 102 =
7) 72 x 102 =
8) 4 x 102 =
9) 75 x 102 =
10) 55 x 102 =
11) 81 x 103 =
12) 3 x 103 =
13) 81 x 103 =
14) 85 x 103 =
15) 98 x 10⁻1 =
16) 86 x 10⁻3 =
17) 65 x 10⁻2 =
18) 19 x 103 =
19) 3.49 x 109 =
20) 2.79 x 108 =
21) 8.42 x 107 =
22) 7.32 x 106 =
23) 3.84 x 105 =
24) 4.12 x 104 =
FUN FACTS:
103 = ONE THOUSAND
106 = ONE MILLION
109 = ONE BILLION
1012 = ONE TRILLION
1015 = ONE QUADRILLION
1018 = ONE QUINDRILLION
1021 = SEXTILLION
1024 = SEPTILLION
1027 = ONE OCTILLION
1030 = ONE NONILLION
The values of each number using power 10 is shown below.
1. 79 x 10
= 790
2. 15 x 100
= 1500
3. 22 x 1,000
= 22,000
4. 15 x 1000
= 15,000
5. 83 x 102
= 8,466
6. 23 x 10²
= 2300
7. 72 x 10²
= 7200
8. 4 x 10²
= 400
9. 75 x 10²
= 7500
10. 55 x 10²
= 5500
11. 81 x 10³
= 81,000
12. 3 x 10³
= 3000
13. 85 x 10³
= 85, 000
14. 98 x [tex]10^{-1[/tex]
= 9.8
15. 86 x [tex]10^{-3[/tex]
= 0.086
16. 65 x [tex]10^{-2[/tex]
= 0.65
17. 19 x 10³
= 19,000
18. 3.49 x [tex]10^{9[/tex]
= 349,000,000,000
19. 2.79 x [tex]10^{8[/tex]
= 27,900,000,000
Learn more about Exponent and power here:
https://brainly.com/question/15722035
#SPJ1
Solve the system of equations. 4x – y = 4 2x2 – y = 4
Answer:
-4 or 4
Step-by-step explanation:
We can solve for the value of y by using the first equation to express y in terms of x and then substituting the resulting expression for y into the second equation.
From the first equation, we have:
4x - y = 4
Rearranging this equation to solve for y, we get:
y = 4x - 4
Now, we can substitute this expression for y into the second equation:
2x^2 - y = 4
Replacing y with 4x - 4, we get:
2x^2 - (4x - 4) = 4
Expanding the brackets and simplifying, we get:
2x^2 - 4x + 4 = 4
Subtracting 4 from both sides, we get:
2x^2 - 4x = 0
Factorizing, we get:
2x(x - 2) = 0
Using the zero product property, we see that this equation is satisfied when either 2x = 0 or x - 2 = 0.
If 2x = 0, then x = 0, and we can use the expression for y that we found earlier to get:
y = 4x - 4 = 4(0) - 4 = -4
If x - 2 = 0, then x = 2, and again using the expression for y, we get:
y = 4x - 4 = 4(2) - 4 = 4
Therefore, the possible values of y are -4 and 4. We would need more information to determine which value of y is the correct one in this context.
Harden is building shelves for his comic book collection. He has a piece of wood that is 3.5 feet long. After cutting four equal pieces of wood from it, he has 0.6 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the four pieces of wood he cut
Part B: Explain how you know the equation from part A is correct
Part C: Solve the equation from Part A. Show every step of your work.
The length of each piece of wood is 0.725 feet.
We are given that the Length= 3.5feet
Now,
This is a word problem that can be solved by using algebra and arithmetic.
Part A: Let x be the length of each of the four pieces of wood he cut. Then, according to the problem, we have:
4x + 0.6 = 3.5
This is the equation that could be used to determine the length of each piece of wood.
Part B: We know the equation from part A is correct because it represents the total length of the wood before and after cutting. The left side of the equation is the sum of the lengths of the four pieces of wood and the leftover piece of wood. The right side of the equation is the original length of the wood. Since cutting does not change the total length of the wood, these two sides must be equal.
Part C: To solve the equation from part A, we need to isolate x by using inverse operations. We get:
4x + 0.6 = 3.5 4x = 3.5 - 0.6 (subtract 0.6 from both sides) 4x = 2.9 x = 2.9/4 (divide both sides by 4) x = 0.725
Therefore, by the algebra the answer will be 0.725 feet.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
Which statements are true about these lines? Select 3 options
The true statements of the given lines are:
Line SW has an undefined slope Line TV has a slope of 0 Lines RS and TV are parallel What is an undefined slope ?An undefined slope pertains to the gradient of a line that is vertical, consequently extending straightly up and down on a graph as demonstrated by Line SW. On the other hand, a slope with no incline (0) imparts the trait of an even horizontal line, which advances in a steady left-right formation on a graph like that of Line TV.
Additionally, parallel lines are two non-intersecting turns in a plane that never meet, regardless of how far they may progress. In this respect, Lines RS and TV remain perpetually parallel.
Find out more on undefined slopes at https://brainly.com/question/29334263
#SPJ1
Use the graph to answer the question.
The scale factor that was used to create the image, given the graph, would be C. 1 / 4.
How to find the scale factor ?To find the scale factor that was used to create the image, we can take the measurement of the distance of AB . The graph shows that if each cell is 1 unit, then the distance of AB would be 8 units.
By the same logic, the distance of A'B' would be 2 units.
The scale factor is therefore:
= Distance of image created / Distance of corresponding side on original image
= 2 / 8
= 1 / 4
In conclusion, the scale factor is 1 / 4 .
Find out more on scale factor at https://brainly.com/question/2826496
#SPJ1
PLEASE HELP ME I REALLY NEED TO GET MY GRADE UP I INCLUDED THE GRAPH WITH THE QUESTION!!!
Graph f(x) = -2/3x -3
Use the line tool and select two points to graph the line.
Answer:
(0, -3) and (3, -5)
Step-by-step explanation:
To graph the line of the equation f(x) = -2/3x - 3, we can choose any two points on the line. One way to do this is to find the y-intercept and another point using the slope of the line.
1. To find the y-intercept, let x = 0 and solve for y:
f(0) = -2/3(0) - 3 = -3
So the y-intercept is (0, -3).
2. To find another point, we can use the slope of the line, which is -2/3. We can start from the y-intercept (0, -3) and move down 2 units (since the slope is negative) and to the right 3 units (since the denominator of the slope is 3) to get another point on the line:
(3, -5)
So the two points we can use to graph the line are (0, -3) and (3, -5).
Consider the problem: Viviana wants to buy a car. She has already saved $500, but needs a total of $1000. She will save $75 per week, \large w, from her pay checks until she has enough money to buy the car.
Which inequality will help her determine how many weeks, \large w, it will take her to save enough money to buy the car?
The inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.
Given that, Viviana saved $500, but she needs a total of $1000 to buy a car.
Viviana earns $75 per week.
Let number of weeks required to earn the required money be w.
Here, 500+75w≤1000
75w≤500
w≤500/75
w≤6.67
Therefore, the inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ1