The scale used by Johan is 1: 252.
Here, we are given that Jonah made a scale drawing of the picnic area in which the 70 yards wide picnic area in real life, was 10 inches wide in the drawing.
As per mathematical measurements-
1 yard = 3 feet
and 1 feet = 12 inches
Thus, 3 feet = 12 x 3 inches
= 36 inches
Therefore, we get that 1 yard = 36 inches
Now, the picnic area is 70 yards
the picnic area in inches is = 70 x 36 inches wide
= 2520 inches
Thus the scale used by Johan will be-
10 : 2520
= 1 : 252
Thus, the scale used by Johan is 1 : 252.
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I need help with this, someone please help!!
The arrows shows the function is a one-to-one function. Each range value has only one domain value it is paired to.
What is One-to-one Mapping Function?If each range value (output value) is paired exactly with a domain value (input value), the mapping that is said to represent a one-to-one function. It is a one-to-one mapping.
In the mapping diagram given, the arrows tells us that the function is one-to-one mapping/function. This means that exactly one element of the output (range value) is paired with one input (domain value).
Thus, we can conclude that the arrows shows the function is a one-to-one function. Each range value has only one domain value it is paired to.
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let c(t) be the number of customers in a restaurant t hours after 8 a.m. c(0)=0
The expression c(0) = 0 means that there was no customers in the restaurant at 8 a.m.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let c(t) represent the number of customer present at the restaurant t hours after 8 a.m.
Hence, the expression c(0) = 0 means that there was no customers in the restaurant at 8 a.m.
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Mr. Alfonso is ordering shrimp he can order 3 pounds of shrimp at Earl's shrimp hut for $38.25 he can order 4 pounds of shrimp at shrimpie's for 50.00 if Mr. Alfonso needs 12 pounds of shrimp hpw much will he save if he buys the shrimp from shrimpies
Mr. Alfonso will save $3 if he orders the shrimps from shrimpies.
What is referred as the unitary method?The unitary method is a process that determines the value of a specific unit from the value of multiple units, as well as the value of multiple units from of the value of a single unit.We must first divide to find the value of one thing, and then multiply to determine the value of much more or fewer things.Now, for the given question;
The cost of 3 pounds of shrimp at Earl's shrimp hut = $38.25.
3 pounds ---------> $38.25
Divide both sides by 3.
1 pound ------------>$12.75
Multiply 12 on both side;
12 pounds -------------> $153.
The cost of 4 pounds of shrimp at shrimpie's for 50.00.
4 pounds ---------> $50.00.
Divide both sides by 4.
1 pound ------------>$12.5
Multiply 12 on both side;
12 pounds -------------> $150.
Cost difference = Earl's shrimp hut - shrimpie
Cost difference = $153 - $150 = $3.
Therefore, Mr. Alfonso will save $3 from the purchase of 12 pounds of shrimp from shrimpies.
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The sum of two numbers is 54. The sum of the smaller and 5 times the larger is 166. Find the numbers.
Answer:
smaller number is 26
larger number is 28
Step-by-step explanation:
This is a system of equations that we can solve by substitution. Let x = the smaller number and y the larger. The two equations are:
x + y = 54
x + 5y = 166
Solve the first equation for y and use that in the second equation.
y = 54 - x (we will plug this in for y in the second equation and solve that for x)
x + 5(54 - x) = 166
x + 270 - 5x = 166
-4x = 166 - 270
-4x = -104
x = 26
Plug this into x + y = 54 and solve for y
26 + y = 54
y = 54 - 26
y = 28
Evaluate the expression when c=5 and d=42 d-6c
The value of the expression when c = 5 and d = 42 is 12
How to evaluate the expression?The given parameters are:
c = 5 and d = 42
The expression is given as:
d - 6c
To evaluate the expression when c = 5 and d = 42, we substitute c = 5 and d = 42 in expression d - 6c
This is represented as
d - 6c = 42 - 6 * 5
Evaluate the product in the above expression
So, we have
d - 6c = 42 - 30
Evaluate the difference in the above expression
So, we have
d - 6c = 12
Hence, the value of the expression when c = 5 and d = 42 is 12
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Below are graphs of functions over the interval [−4, 4]. Find the following for each function: The domain Zeros of the function (the values of x where the value of the function is zero) Intervals where the function is positive and intervals where it is negative
From the graph of a function over the interval [-4,4]. the following are found for each function
The domain is x ≥ -4, -4 ≤ x ≤ 4, x ≤4the zeros of the function is ( 0, 0 ), ( 0, 0 )The function is positive at 0 ≤ x ≤ 4, x ≥ 4. The function is negative at x ≥ -4, -4 ≤ x ≤ 0What is domain of a function?The domain of a function refers to the input variables, often times the domain comprises of the x axis. for the given graph the domain is -4 ≤ x ≤ 4.
How to get the domain of a function.This would be through the points in the function. We are given [-4,4]
-4 is the negative side while 4 is the positive. We have to write this out as
-4 ≤ x ≤ 4.
The positive part part of the function is at 4. This is because we can assume a +4 sign.
The negative part is the point -4.
Hence we can say that the domain is -4 ≤ x ≤ 4 with the positive and negative at 4 and -4 respectively
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Laura, Aldo, and Juan served a total of 95 orders Monday at the school cafeteria. Juan served 2 times as many orders as Laura. Aldo served 7 more orders than Laura. How many orders did they each serve?
the orders served by Laura are 22, the orders served by Aldo are 29 and the orders served by Juan are 44.
Total number of orders served on Monday at the school cafeteria = 95
Juan served 2 times as many orders as Laura and Aldo served 7 more orders than Laura.
Let the orders served by Laura be x
Orders served by Juan = 2 x
Orders served by Aldo = x + 7
So, we get the equation as:
x + 2 x + x + 7 = 95
4 x + 7 = 95
4 x = 95 - 7
4 x = 88
x = 88 / 4
x = 22
x + 7 = 22 + 7 = 29
2 x = 2 (22) = 44
Therefore, we get that, the orders served by Laura are 22, the orders served by Aldo are 29 and the orders served by Juan are 44.
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ch
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7. The start-up cost to print t-shirts is $2,000. It will
cost an additional $3.50 to produce each t-shirt. The
t-shirts will be sold for $6.00 each. Write a model for
cost C(x) and revenue R(x). How many t-shirts
must be sold to break even? (3 pts)
The function of cost is C(x) = 3.50x + 2000 and revenue is R(x) = 6x and 800 t-shirts must be sold to break even.
To find the linear value perform, begin from the slope-intercept kind C(x) = mx + b wherever x is the number of T-shirts and C(x) is that the value to supply those T-shirts. we'd like to search out the slope"m" and also the intercept "b".The cost is differently of touching on the slope of the value perform. this suggests that
m = 3.50 and b = 2000 swing this into the value perform, we have
C(x) = 3.50x + 2000
Revenue function = selling price × number of shirt
R(x) = 6x
The break-even purpose is found by setting the value perform C(x) adequate to the revenue perform R(x) .
C(x) = R(x)
3.50x + 2000 = 6x
2000 = 2.5x
800 = x
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write answer from top to bottom
Answer:
give some reasons for your choice
Step-by-step explanation:
30 hrs / WK =$
Y’all should Frl help me
Answer:
Step-by-step explanation:
Plug in 6 for x for g(x) and f(x)
f(6) = 2(6)⁵ = 15,552
g(6) = 10 x 4⁶ = 40,960
15,552 < 40,960
f(6) < g(6)
Given a set of data sorted from smallest to largest, define the first, second, and third quartiles.
The first quartile is the area within one standard deviation of the mean.
The second quartile is the area within two standard deviations of the mean.
The third quartile is the area within three standard deviations of the mean.
The first quartile is the mean of the lower half of the data below the median.
The second quartile is the median.
The third quartile is the mean of the upper half of the data above the median.
The first quartile is the minimum value.
The second quartile is the median.
The third quartile is the maximum value.
The first quartile is the median of the lower half of the data below the overall median.
The second quartile is the overall median.
The third quartile is the median of the upper half of the data above the overall median.
The first quartile is the area that contains the 25% of all values that are closest to the mean.
The second quartile is the area that contains the 50% of all values that are closest to the mean.
The third quartile is the area that contains the 75% of all values that are closest to the mean.
Quartile deviation in Statistics can be defined as the statistic that measures the dispersion. Here, the Dispersion is the state of getting dispersed or spread. Statistical dispersion means the extent to which numerical data is likely to vary about an average value. In other words, dispersion helps to understand the distribution of the data Suppose Q1 is the lower quartile, Q2 is the median, and Q3 is the upper quartile for the given data set, then its quartile deviation can be calculated using the following formula.
QD = (Q3 – Q1)/2
In the next section, you will learn how to calculate these quartiles for both ungrouped and grouped data separately.
For an ungrouped data, quartiles can be obtained using the following formulas,
Q1 = [(n+1)/4]th item
Q2 = [(n+1)/2]th item
Q3 = [3(n+1)/4]th item
Where n represents the total number of observations in the given data set.
Also, Q2 is the median of the given data set, Q1 is the median of the lower half of the data set and Q3 is the median of the upper half of the data set.
The given data is that is first quartile is lowest off 25% of the numbers and second quartile. It is between 0% and 50% of two median. And thought quartile is the rope percent two 75% ward court trial is the highest 25% of numbers. For example, spores, the distribution spores, the distribution of math scores not so of course in a class of 19 students of 19 students in ascending order is with 39 60 6 to 5 65, 68, 69, 70 72, 75, 75, 76, 77 81, 84, 87, 90 95, 98. No postmark the median and Q two which is in this case in this Case is the 10th value and value that is 70 five. You won is the central. Mhm point between the smallest to score smallest school and median in this case. Do you want Falls between the two post and fifth school? That is 68. The average of fifth and six score is fifth plus sixth way two. That is 68 plus 69/2 which is equal to 68.5. No Q three is middle value between 23 and I used to score is 84. No Q three Is 82 plus 84/2. That is 83. No. Do you want the hosts as that? 25% of the scores ah less then 68 and 75% of the of course are greater and you do the median is the 50th percentile and shows that, and shows that 50% of the scores are less than 75 and 50% of the scores are above 75 and finally, you're three the 75th percentile. It reveals that 25% of the scores, odd greater than 75%, are less than it would be full.
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COME ON YALL PLEASE HELP ME SO I CAN SUBMIT THIS AM I RIGHT?
Answer: 3x10^-3
Step-by-step explanation:
The answer is 3/1000 which is 3x10^-3
50 POINTS FOR WHOEVER ANSWERS
The equation has one solution.
A value of x that makes the equation true is -3, which when substituted into the equation will turn the equation into: 18 = 18.
A value of x that makes the equation false can be 4, which when substituted into the equation will turn the equation into: -24 = 18.
How to Find the Solution to an Equation?Given the equation, -6x = 18, the value of x that makes the solution true would be determined as shown below:
-6x/-6 = 18/-6
x = -3
Therefore, we can conclude the following:
A value of x that makes the equation true is -3, which when substituted into the equation will turn the equation into:
-6(-3) = 18
18 = 18.
A value of x that makes the equation false can be 4, which when substituted into the equation will turn the equation into:
-6(4) = 18
-24 = 18.
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Answer:
The equation has one solution.
A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18=18.
A value of x that makes the equation false is 0, which when substituted into the equation and simplified makes the equation turn into 0=18.
Step-by-step explanation:
Hope this helped! :)
I NEED THE ANSWERS TO 3, 4 and 5 PLEASEEE:))
Answer:
3. (d) y = 2x + 2
4. (c) 10
5. See attachment.
Step-by-step explanation:
Slope formula
[tex]\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line.
Slope-intercept form of a linear equation
[tex]\boxed{y=mx+b}[/tex]
where m is the slope and b is the y-intercept.
Question 3Given points on the line:
(x₁, y₁) = (1, 4)(x₂, y₂) = (-2, -2)Substitute the given points into the slope formula to find the slope, m:
[tex]\implies \textsf{slope}\:(m)=\dfrac{-2-4}{-2-1}=\dfrac{-6}{-3}=2[/tex]
Substitute the found slope and one of the points into the slope-intercept equation and solve for b:
[tex]\implies 4=2(1)+b[/tex]
[tex]\implies b=2[/tex]
Therefore, the equation of the line is:
[tex]\boxed{y=2x+2}[/tex]
Question 4Given equation:
[tex]y=10x-6[/tex]
Upon comparing the given equation with the slope-intercept formula, the slope of the given line is: [tex]\boxed{10}[/tex]
Question 5The equation y = 2 means that y is 2 for all values of x.
Therefore, to graph y = 2, draw a straight, horizontal line at y = 2.
(See attached graph).
The graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = |6x|
B. g(x) = |x + 6|
C. g(x) = |⅙x|
D. g(x) = 6|x|
Answer:
C
Step-by-step explanation:
To stretched f(x) = |x| horizontally by a factor of 6, and create the graph of g(x) we have to divide the value of x by 6 so the y values for g(x) will be lower then the y values for f(x).
Answer:
C
Step-by-step explanation:
I know you got the correct answer already but yeah its C :)
A real estate agent works on 11% commission. What is her commission on house that she sold $346,000?
A real estate agent commission on the house that she sold $346,000 is $38,060.
Given that, a real estate agent works on 11% commission.
We need to find out what is her commission on the house that she sold $346,000.
What is the commission?The commission is a percentage of total sales as determined by the rate of commission. Commission=Rate of commission⋅Total sales. To find the commission on a sale, multiply the rate of commission by the total sales.
Now, the commission on the house=11% of 346,000
=11/100 × 346,000
=0.11 × 346,000
=$38,060
Therefore, a real estate agent commission on the house that she sold $346,000 is $38,060.
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For my part, I travel not to go anywhere, but to go. I travel for travel's sake. The great affair is to move.
—Robert Louis Stevenson
Interpret the quote in terms of what you have learned about essential and discretionary vacation expenses.
The interpretation of the above quotation in terms of what is essential and discretionary vacation expenses implies that there are some unnecessary vacation expenses while others are compulsory vacation expenses.
What are discretionary and nondiscretionary expenses?
Discretionary expenses refer to outflows that a person can avoid if they choose.
On the other hand, one cannot avoid nondiscretionary expenses after choosing a spending activity because they are necessary and compulsory.
An example of nondiscretionary expenses are taxes, the cost of meals, and utility expenses. An example of a discretionary outflow is charitable donations.
Thus, when Robert Louis Stevenson claims that he travels for travel's sake, not to achieve any purpose, the expenses he incurs on such a trip are discretionary. He can avoid them by choosing not to embark on vacations.
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If the relationship is proportional, how many students would there be in a school with 32 teachers? Show your dimensional analysis
The number of students would there be in a school with 32 teachers is 32k.
What is meant by proportionality?In general, proportion refers to a part, share, or amount considered in comparison to a whole. According to the definition of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios as well as fractions are equal.A proportion formula is just an equation that may be solved to determine the values to compare. We use the concept of proportion to solve proportion problems, which is two ratios that really are equal to each other.As the number of students are proportional to number of teachers.
Thus,
students ∝ teachers
student ∝ 32
students = 32k
where, k is the constant of proportionality.
Thus, the total number of students will be 32 k.
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Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Answer:
The mapping diagram above does NOT represent a function since for each number in Set A (the input) there are multiple mappings to Set B (the output).
NB. The relation is a function IF AND ONLY IF each input value has only 1 output value.
PQRS is a kite. Find m∠S
*
Answer:
angle S is 82
Step-by-step explanation:
the little lines on
QP & QS means
they are equal
so you can divide
124 in half which is 62
62 + 36 = 98
180 - 98 = 82
Hello. Please check and help if possible :) I am struggling
Answer: :)
Step-by-step explanation:
Answer:
Deleted = error
solve for x
y = 5x -4x
Answer:
y = 5x -4x
y = x
Lin is selling boxes of popcorn. Each box costs $4.00. Lin’s goal is to earn more than $32 selling popcorn.
How many boxes of popcorn does Lin need to sell in order to earn exactly $32?
Answer:4 X 8 =32
Step-by-step explanation:4 groups of 4 is 32
32 divied by 4 is 8 so 8 boxes
If kenny’s bus ride is 6 miles long, how much will it cost
Answer:
The cost of the bus ride for 6 miles is 50 dollars
Step-by-step explanation:
We want to read the graph. The x value is 6
Go up from x = 6 until you reach the line
Then go to the left until you can read the y value
50
The cost of the bus ride for 6 miles is 50 dollars
12345653q2111234567876543212345
Answer:
12345653q21112345678
Question 14 of 25
Based on the information marked in the diagram, ABC and DEF must be
congruent.
B
AQ
A. True
B. False
C
E
DO
LL
F
SUBMIT
Answer:
A. True
Step-by-step explanation:
Given two right triangles with marked side and angle, you want to know if they are congruent.
AAS congruenceThe two triangles are marked as having congruent angles and a congruent side next to the right angle. This is sufficient information to let you claim congruence by the AAS congruence postulate.
The triangles are congruent: TRUE.
PLS PLS PLS PLS PLS PLS PLS PLS LAST QUESTION JUST HELP ME PLS I BEG U describe a real-world situation where you can apply finding the unit rate
Answer:
Unit rates can be used for comparison shopping.
For example, If you were at the grocery store and there was a 10 pack box of mac and cheese and a five pack box of mac and cheese and you wanted to see which package would give you more product for less money you would use a unit rate to compare which package cost less per box.
I NEED HELPPP KNOW PLEZZZ !! A scientist conducted research and plotted his results in the histogram shown below. Which of the following is the best measure of the center of the data?
Answer:
Uh, I'm not sure but i think its Mean
please help
please hurry
Answer:
3x
Step-by-step explanation:
because y= 3x
Answer:
Number 1
Step-by-step explanation:
The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?
Answer: B Correct answer Promise me
