Answer:
The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.Proportionality constant can be used with any representation to determine how a variable is changing with respect to others.
Variation is a method comparing the nature of a variable with another variable using a constant called the proportionality constant
For instance, if a variable y is directly proportional to x, it is expressed as;
y ∝ x
y = kx
k is the proportionality constant relating y to x and shows that as the value of y is increasing, the value of x is also increasing and vice versa.
Learn more here: https://brainly.com/question/13441754
one man have 20 oranges in one hod and the get 20 children in the road and he gave 1 orange fore each of them but there is still an orange left in the hod how ?
Step-by-step explanation:
19 kids get an apple each, the 20th kid gets the basket with the apple in it, that’s the answer you want, right?
Well that’s a bogus answer, because how come one kid gets a free basket, and why do you even care that the basket has an apple in it if you don’t get to keep it anyway?
Plus it’s not “all the apples to each one of them” is it? No, it’s one apple each, and different apples are different sizes and degrees of ripeness and maybe some have bruises and it’s just inherently unfair.
Instead, I take 19 apples, and I make applesauce, and I distribute the applesauce using a precision scale so every child gets an exactly equal amount of applesauce, and I keep one apple in the basket, which I keep.
Now, of course it’s not quite “ALL the apples” to the children, but you cannot have your cake and eat it too. I gave an equal amount of apple to each child, and if it was 5% short of all the apples, well, it was, but what of it, that’s the best I can do and still keep one apple in the basket.
Because I am NOT giving one child the basket and having the other nineteen kids complaining about why Johnny got a basket and they didn’t, plus where’s my basket? No, I don’t think so.
Answer:
Give 19 children an orange each = 19 oranges given.
Leave one orange in the basket and give the basket containing that orange to the lucky 20th child.
20 Kids, 20 oranges — Case closed
Step-by-step explanation:
Which of these tables represents a non-linear function?
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20.
A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.
Answer:
we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.
Step-by-step explanation:
The nature of whether a function can be linear or non-linear, we must check how the x and y values of the table change. If the first difference between y-values remains the same (constant first difference), then the table will represent a linear function, otherwise not.
Given the x and y entries of the first table:
x y
17 20
18 19
19 18
20 17
From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.
i.e. 19-20=-1, 18-19=-1, 17-18=-1
Thus, this table represents a linear function.
Given the x and y entries of the second table:
x y
17 -16
18 -17
19 -18
20 -19
From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.
i.e. -17-(-16)=-1, -18-(-17)=-1, -19-(-18)=-1
Thus, this table represents a linear function.
Given the x and y entries of the second table:
x y
17 16
18 17
19 19
20 20
From the table, it is clear that as x constantly increases by 1 unit, but the y-values are not changing constantly. The first difference between y-values does not remain the same.
i.e. 17- 16 = 1, 19 - 17 = 2, 20 - 19 = 1
Thus, this table does not represent a linear function. Hence, it is a non-linear function.
Given the x and y entries of the second table:
x y
17 -20
18 -19
19 -18
20 -17
From the table, it is clear that as x constantly increases by 1 unit, the y-values are also changing constantly by 1 unit. The first difference between y-values remains the same.
i.e. -19-(-20)=1, -18-(-19)=1, -17-(-18)=1
Thus, this table represents a linear function.
Therefore, we conclude that the table ''A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20'' represents a non-linear function.
Michael record the number of miles he runs each week for the nine weeks 6,11,13,8,15,9,11,5,9 which box plot represents the data
Five number summary
min = 5Q1 = 7median = 9Q3 = 12max = 15===============================================
Explanation:
The given list of values is {6, 11, 13, 8, 15, 9, 11, 5, 9}
It sorts to {5, 6, 8, 9, 9, 11, 11, 13, 15}
The middle most value is the second 9. We have four items below or at the median {5,6,8,9} and four values above the median {11,11,13,15}
The middle item of {5,6,8,9} is (6+8)/2 = 14/2 = 7. This is the value of Q1.
The middle item of {11,11,13,15} is (11+13)/2 = 24/2 = 12. This is Q3.
The min is 5 since it is the smallest of the original list.
The max is 15 because it is the largest of the original list.
The five number summary is
min = 5Q1 = 7median = 9Q3 = 12max = 15The boxplot that matches with this five number summary is the boxplot in the upper right corner.
The min is the left whisker. The max is the right whisker.
The left edge of the box is Q1. The right edge of the box is Q3.
The middle vertical line inside the box is the median.
Answer:
upper right corner
Step-by-step explanation:
The teacher said we could estimate but give a good reason for that estimate
Answer:
$11, even if you do work a job thats not that hard you should still be making a good amount of money
Step-by-step explanation:
I just used my opinion
the sixth one. thanks for all the help!
Answer: The answer is 8 because if you divide each total cost by it’s number of tickets, you will always get 8.
Answer:
sorry gchgfcghhhghhhj
3) A product is marked down 15%; the sale price is $127.46. What was the
original price?
Answer:elling price (S.P) = (100 - m)% ⋅ Original price -----(1)
Here,
S.P = 127.46, m = 15
Substitute 127.46 for S.P and 15 for m in (1).
127.46 = (100 - 15)% ⋅ Original price
127.46 = 85% ⋅ Original price
127.46 = 0.85 ⋅ Original price
127.46 / 0.85 = Original price
149.95 = Original price
So, the original price is $ 149.95.
Step-by-step explanation:
The original price of product when the product is market down by 15% and the sales price is given so it is $149.95.
Calculation of price:Price is down by 15%, so m = 15% or 0.15.
So, Original price = [tex]\frac{Selling price}{( 1 - m)}[/tex]
By putting the value, we get
Original price = [tex]\frac{127.46}{(1 - 0.15)}[/tex]
= [tex]\frac{127.46}{0.85}[/tex]
= $149.95
Hence the original price of of the product was $149.95
Learn more about sale here : brainly.com/question/24321449
Please I rlly need this help!
Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an equation or proportion modeling the scenario. Do not solve the problems.
1 A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?
2 A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?
3 A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
4 A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
5 A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.)
Answer:
more details about this?
Step-by-step explanation:
Which product is equivalent to -7 × 2/5?
Answer:
-2.8 or -14/5
Step-by-step explanation:
All you have to do is put the -7 over 1 and multiply across. So it'd look like:
-7/1 x 2/5 which works out across as -14/5 or you can convert it to a decimal to be -2.8. Hope this helps! :)
What number makes the equation true? Enter the answer in the box.
÷3 = 6
Answer:
18
Step-by-step explanation:
multiply 6 by 3
Hope this helps. Pls give brainliest.
divisibilty by 2 5 and 10
Step-by-step explanation:
if the number ends in a 0,it is divisible by 10.Also if number and s divisible by 2 and 5 it is divisible by 10
Round the following numbers to 1 decimal place.
a) 65.874
b) 326.59
c) 13.555
d) 7.959
Answer:
a)65.9
b)326.6
c)13.6
d)8.0
Answer:
a)65.9
b)326.6
c)13.6
d)8.0
Ann uses 3/4 cup pecans to make 2 dozen banana muffins. How many cups of pecans would she use to make 5 dozen muffins
Answer:
1[tex]\frac{7}{8}[/tex]cups
Step-by-step explanation:
2 dozen muffins = [tex]\frac{3}{4}[/tex]cups
5 dozen muffins = [tex]\frac{5}{2}[/tex] × [tex]\frac{3}{4}[/tex]cups
= [tex]\frac{15}{8}[/tex]cups
= 1[tex]\frac{7}{8}[/tex]cups
A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. Write an equation that can help you find the new price. What is the new price?
Answer:
$138
Step-by-step explanation:
The price increased by $18
The Tigers’ second play went for +4 1/2 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?
Answer:
They gained 4 1/2 yards
Step-by-step explanation:
It was a positive gain because they didn't go back.
Answer:
Since the number is positive number they gained 4 1/2 yards
Step-by-step explanation:
hope this helped have a good day :) :)
12 gallons of gas cost $30. How much will it cost to get an additional 4 gallons of gas?
Answer:
the answer is 40
Step-by-step explanation:
(Ans: 500)
4) The minimum charge of telephone calls up to 175 calls is Rs. 200 the charge for each
extra call of 2 minutes duration is Rs. 1. If a man paid Rs. 870.10 with 10% T.S.C and 13%
VAT for Rs telephone bill, find the number of extra calls made.
5) The distance between kalanki and Thamel is 5.4 Km. the minimum fare is Rs. 221 at the
first and the fare goes on at the rate of Rs. 11.10 per 200 meters. Find the taxi fare
between Kalanki and Thamel. (Ans Rs. 320.70)
6) Mr. Gopal hired a taxi and travelled a certain distance at 10:30pm he paid the total fare
of Rs. 345 including the additional waiting charge for 10 minutes. If the minimum fare is
RS. 21, the fare per 200m is a Rs 10.80 and the waiting charge is Rs. 10.80 per 2 minutes
find the distance travelled by him. (Ans: 5Km)
Algebraic Expression and simplification
Solved examples:
1. A) Factorize : a) 2 + 10 +
a
Sol" here,
+ 10 +
62
a?
21b2
21b2
a2
21b2
a2
7 ab
3 ab
Answer:
bvyf0x9yoyx0xypypp0y0yyx0p60py0ypypppypyppyppypypppppppypp9ic attach xoxixizoxihixziicusfyfugdg lvl knockoff works
Identify the slope of the line for the equation y =
+
A
)
4
B)
1
6
C)
D)
1
4
Answer:
1/6
Step-by-step explanation:
The slope is the number in front of the x.
Point A is located at -4.5, and point B is 3.25 units from point A. Write two additional equations that could be used to determine the location of point B.
Answer:
The equations are B = -4.5 + 3.25 and B = -4.5 - 3.25
Step-by-step explanation:
Since point A is located at -4.5 and point B is 3.25 units away from A, point B can either be located on the left or on the right of point A.
If point B is located at the right of A, the equation for point B is -4.5 + 3.25.
If point B is located at the left of A, the equation for point B is -4.5 - 3.25.
So, the equations are B = -4.5 + 3.25 and B = -4.5 - 3.25
On average, Americans consume 13.9 pounds of ice cream per person over an entire year. Ben loves ice cream, but limits himself to one 6 ounce (oz) serving each week. Find the difference between the amount of ice cream that Ben consumes compared to the national average.
Answer:
5.6 pounds
Step-by-step explanation:
13.9 pounds of ice cream are consumed per year by individual.
Ben consumes 6 ounce serving per week.
The amount of ice cream consumed by Ben in a year can be determined by;
since there is an average of 52 weeks in a year, then;
6 ounces x 52 = 312 ounces
But,
1 ounce = 0.0625 pounds
So that,
312 ounces = x pounds
x = 312 x 0.0625
= 19.5
x = 19.5 pounds
Thus, Ben consumes 19.5 pounds of ice cream per year. He consumes more than the average value per person in a year.
The difference = Amount Ben consumes - National average
= 19.5 - 13.9
= 5.6 pounds
The point (5, 5) is in Quadrant.
The point (3, –2) is in Quadrant.
The point (–4, –4) is in Quadrant.
Answer:
A coordinate plane.
The point (5, 5) is in Quadrant
✔ I
.
The point (3, –2) is in Quadrant
✔ IV
.
The point (–4, –4) is in Quadrant
✔ III
.
Step-by-step explanation:
give me branliest pls
The point (5, 5) is in Quadrant I, the point (3, –2) is in Quadrant IV, and the point (–4, –4) is in Quadrant III.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
The area using the ordered double:
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
As we know the coordinate plane is divided into four parts.
The first part is known as I quadrant; in this quadrant both values of x and y are positive.
In the second quadrant II value of x is negative and the value of y is positive.
In the third quadrant III values of x and y are negative.
In the fourth quadrant IV value of x is positive and the value of y is negative.
From the above information:
The point (5, 5) is in Quadrant I
The point (3, –2) is in Quadrant IV
The point (–4, –4) is in Quadrant III
Thus, the point (5, 5) is in Quadrant I, the point (3, –2) is in Quadrant IV, and the point (–4, –4) is in Quadrant III.
Learn more about the order double here:
brainly.com/question/10757890
#SPJ5
Can someone help me ?
A couple plans to have 3 children. Assuming the probability of having either a boy or a girl is 50%, what is the probability they will have at least 1 girl?
Group of answer choices
0.875
0.125
0.375
0.75
Answer:
0.375
Step-by-step explanation:
The probability of having at least one girl out of 3 children can be calculated as;
P(1 girl, 2 boys) or P(2 girls, 1 boy) or P(3 girls)
Since the P(b) = P(g) = 1/2
Then the probability at any point in time is 1/2 * 1/2 * 1/2 = 1/8
So we have ;
1/8 + 1/8 + 1/8 = 3/8 = 0.375
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
dm me for help
Step-by-step explanation:
Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and 15 is there a direct variation between a triangle number and its position in the sequence explain your reasoning
Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
An 8-Bar Package Of Soap Sells For $4 What Is The Unit Rate In Cost Per Bar?
Answer:
2 dollars
Step-by-step explanation:
If it’s an 8 pack, that is 4 dollars then if you divid, every bar should cost 2 dollars each.
1) 12/10-2/10 =
2) 18/6- 24/12=
3) 3/5 - 1/10=
4) 1/3 - 1/12=
Answer:
1: 1
2: 1
3:2/5
4:1/4
State the slope and y-intercept of y=5x+2
Answer:
5 is the slope
(0,2) is the y intercept
Step-by-step explanation:
The equation y = 5x + 2 appears to be written in the y = mx + b form of a linear equation.
m represents slope and b represents the y value of the y intercept.
Here, m = 5 and b = 2.
This means 5 is the slope and (0,2) is the y intercept.
The expected values of two television sets are predicted as follows.
The function below models the expected value in dollars, of television A after 3 years.
f(x) = 100(-2+4)
The expected value, in dollars, of television B is initially $360 and decreases by $90 each year. Let g(x) represent the
expected value of television B after 3 years.
How does the graph of g(x) compare to the graph of f(x)?
The graph of g(x) has the lesser y-intercept.
The graph of g(x) has the greater 2-intercept.
The graph of g(x) has the greater y -intercept.
o The graph of g(x) has the lesser x-intercept.
Answer:
A. The graph of g (x) has the lesser y -intercept
Step-by-step explanation:
I took the test
For f(x) the y-intercept is given by, c = 400 and for g(x) the y-intercept is given by, c' = 360. The correct option is a) and this can be determined by using the slope-intercept form of the line.
Given :
The function [f(x) = 100(-x + 4)] models the expected value in dollars, of television A after 3 years.The expected value, in dollars, of television B, is initially $360 and decreases by $90 each year.First, determine the function g(x) in order to comment on the graph of g(x). So, according to the given data the expected value, in dollars, of television B is initially $360 and decreases by $90 each year.
Let the total number of years be 'x'. Then the function g(x) is given by:
g(x) = 90x + 360
Now, compare the functions f(x) and g(x) with the slope-intercept form of the line in order to find the y-intercept.
For f(x) the y-intercept is given by, c = 400
For g(x) the y-intercept is given by, c' = 360
Therefore, the correct option is a) The graph of g(x) has the lesser y-intercept.
For more information, refer to the link given below:
https://brainly.com/question/11528842
What is an equation of the line that passes through the point (6, 1) and is
perpendicular to the line 2x + 3y = 18?
Answer: y=1,5x-8
Step-by-step explanation:
At first transform the equation
2x+3y=18
3y= 18-2x
y= 6 - (2/3)x
The linear function has general form, which looks like that:
y=mx+n
perpendicular means that m1*m2=-1
In our case m1= -(2/3) and m2 is unknown
(-2/3)*m2= -1
m2=3/2 so m2=1,5
The line has to go through the point (6,1)
so 1=6*1,5+n
1=9+n
n= -8
so the function looks like that y=1,5x-8
HELP ILL GIVE 10 PTS quick pleaseee
Answer: I’m pretty sure it’s the 4th one.
Step-by-step explanation: because 1 and 2 have infinity solutions but 3 has no solution 4 comes up with x=-11
Can you give brainiest? :)