Answer:
1 cupcake is made in 1.75 minutes.
1.75 minutes
Step-by-step explanation:
Divide 70 by 40 = 1.75.
49/28=1.75
The constant of proportionality of the given data is 0.57.
What is constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value.
Now it is given that,
Time taken for icing 40 cupcakes = 70 minutes
∴ Icing of cupcakes in 1 minute = 40/70
= 0.57
Time taken for icing 28 cupcakes = 49 minutes
∴ Icing of cupcakes in 1 minute = 28/49
= 0.57
⇒ constant of proportionality = 0.57
Thus, the constant of proportionality of the given data is 0.57.
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Tina has two rectangular playpens to keep her new pet dogs. The first rectangle has a width of 6 feet and a length of x - 4 feet. The second rectangle has a width of 8 feet and a length of x + 2 feet. What is the sum of the two perimeters?
Answer:
4x+24 ft.
Step-by-step explanation:
Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.
Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.
Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.
A football stadium is capable of seating a maximum of m fans. For each game, the
amount of money that the stadium brings in as revenue is a function of the number of
people, n, in attendance. If each ticket costs $30.00, what is the domain of this function?
Answer:
The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:
f(n) = $30.00*n
Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.
Now, for the function f(n), we have that:
The domain is the set of the possible values of n
The range is the set of the possible values of f(n).
We want to find the domain.
First, the minimum possible value of n is 0, the case where nobody purchases a ticket.
The maximum possible value of n is m, this is the case where the stadium is full.
Then the domain will be:
D= {n,m ∈ Z, 0 ≤ n ≤ m}
Where we imposed that n must be an integer number because n represents a whole quantity.
The domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.
Given information:
A football stadium is capable of seating a maximum of m fans.
People attending the game are n.
The cost of each ticket is $30.
The amount of money that the stadium brings in as revenue is a function of the number of people, n.
So, the money will be calculated based on the attendance of people which implies that n will be the independent variable of the function.
So, the revenue generated can be written as,
[tex]f(x)=30n[/tex]
Here, the value of n represents the domain of the function.
Now, the maximum number of people allowed in the stadium is m as there are only m seats.
Therefore, the domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.
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A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.
name 2 negative integer
Answer:
A number that is less than zero
Step-by-step explanation:
-13, -56
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of the following amounts?
1 lb
3/4 lb
1/4 lb
Answer:
1. is the answer
Step-by-step explanation:
The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
The number of batch recipe calls for 1 / 2 lb of flour = 1 batch
And to calculate the number of batches , we use
The number of batch recipe calls for 1 lb of flour will be
1 / 2 lb of flours = 1 batch
Multiplying by 2 on both sides , we find the number of batches for 1 lb of flour
Therefore , 1 / 2 x 2 = 1 x 2
1 lb of flour = 2 batches
3 / 4 lb of flour is 1 x 3 / 4 = 2 x 3 / 4
= 3 / 2 batches
= 1.5 batches
1 / 4 lb of flour is 1 x 1 / 4 = 2 x 1 / 4
= 1 / 2 batches
= 0.5 batch
Hence , The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively
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PLS HELP ASAP NO ONE HELPS ME PLSSSSSSSSS.
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer:
y = -2x - 4
Step-by-step explanation:
-2 is our slope
-4 is our y intercept (the point which the line crosses the y axis)
What is the value of the expression
-1s/20r if r= -1/4 and s= 4/5?
Simplify your answer.
Answer:
[tex]\frac{4}{25}[/tex]
Step-by-step explanation:
Given expression:
[tex]-\frac{1s }{20r}[/tex]
r = [tex]-\frac{1}{4}[/tex] , s = [tex]\frac{4}{5}[/tex]
Now;
[tex]-\frac{1s }{20r}[/tex] = [tex]-\frac{s}{20r}[/tex]
Insert the parameters:
= [tex]-\frac{\frac{4}{5} }{20 x (-\frac{1}{4} )}[/tex]
= - [tex]\frac{\frac{4}{5} }{-5}[/tex]
-x - = +
= [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{5}[/tex]
= [tex]\frac{4}{25}[/tex]
(WILL GIVE BRAINLIEST) Solve for x.
-2(-9x+5)-4x=2(x-5)-4
Simplify your answer as much as possible
Answer:
−2(−9x+5)−4x=2(x−5)−4
Step 1: Simplify both sides of the equation.
−2(−9x+5)−4x=2(x−5)−4
(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)
18x+−10+−4x=2x+−10+−4
(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)
14x+−10=2x+−14
14x−10=2x−14
Step 2: Subtract 2x from both sides.
14x−10−2x=2x−14−2x
12x−10=−14
Step 3: Add 10 to both sides.
12x−10+10=−14+10
12x=−4
Step 4: Divide both sides by 12.
12x
12
=
−4
12
x= -1/3
Step-by-step explanation:
Good luck! Hope this helps! <3
Answer :
[tex]x = - \frac{1}{3} [/tex]
or you can just write x = -0.3
hope this helps!
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is his speed, in miles per hour?
Answer: 3
This is because 15 times 4 equals 60 and that is equal to 1 hour, well when your multiplying fractions what you do to the bottom you have to do to the top so multiply 3 times 4 thats 12 and now you have 12/4 and that is equal to 3.
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Thanks!!!!:)))))
Answer:
24.4
Step-by-step explanation:
Now please give me Brainiest.
7. A checking account is
overdrawn by $10 on both Friday
and Saturday. By how much was
The account overdrawn?
Help me I don’t not understand
Follow my Pinterest 13jadyn13
Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?
Answer: kim made $6,900 in commission for selling the house
Step-by-step explanation:i took the test
SOMEONE PLZ HELP JSJSJSNSJNSNSNSNSNNS I HAVE 30 MINS LEFT PLZ
Answer:
the answer is d. x >=4
Which linear inequality is represented by the graph?
1 y 1/2x + 2
2 yx+2
3 y=x+2
4 y2 x + 2
Answer:
A
Step-by-step explanation:
The linear equation of inequality is y ≤ ( x/2 ) + 2
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The x intercept of the equation is when y = 0
So , A ( -4 , 0 ) is the x intercept
And , the y intercept is when x = 0
So , B ( 2 , 0 ) is the y intercept
Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted
Hence , the inequality is y ≤ ( x/2 ) + 2
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Julio is running in a 13.1-mile race. There are water stops every 2.75 miles along the route from the beginning of the race.
What is the distance between the last water stop and the end of the race? Enter your answer in the box.
Answer:
The distance between the last water shop and the end of the race is 2.1 miles
Step-by-step explanation:
Keep on adding 2.75 until you get the number 11 or you can just multiply 2.75 by 4 and get 11. Subtract 11 from 13.1 and you will get 2.1 miles.
I hope this helps
Write and equation in slope-intercept form of the line that passes through the points
(-5,-12) and (1,6)
The equation is y=
Step 1: We need to use slope formula* to determine what m (or the slope) is.
[tex]m = \frac{6 - (-12)}{1 - (-5)}\\\\m = \frac{18}{6} = 3[/tex]
Step 2: Now we use this slope, ONE of the given points, and slope-intercept form** to determine b.
[tex]6 = 3(1) + b\\\\6 = 3 + b\\\\3 = b[/tex]
Step 3: The final answer can now be found by using the slope and y-intercept (or b) that we just found.
[tex]y = 3x + 3[/tex]
For Reference:
*Slope formula
[tex]m = \frac{y_{2} - y_1}{x_2 - x_1}[/tex]
*Slope-intercept Formula
[tex]y = mx + b[/tex]
Find the slope of the line passing through the points (-8,-8) and (6,-8)
Answer:
Slope = 0
So, the line is parallel to x-axis
Step-by-step explanation:
(x₁ , y₁) = (-8, -8) & (x₂ ,y₂) = (6 , -8)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\=\frac{-8-[-8]}{6-[-8]}\\\\=\frac{-8+8}{6+8}\\\\= 0[/tex]
Find the slope of the line
Y=1/4x + 2
Answer: 14
Step-by-step explanation:
If the average grade of an English class rose from 70 to 80 what is the approximate percent increase
Answer:
10
Step-by-step explanation:
The equation - 2 (x + 1) = (y – 5)^2 is represented by which graph?
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
edge
PLEASE HELP FAST!!!!Match each description to the expression that can be used to represent it.
Answer:
The first box on the left goes to the middle box on the right! THe second box on the left goes to the first box on the right! And the last box on the left goes to the third box on the right!
Hope this helps and u understand it
The area of a rectangle is 6 + 3x square feet. Which of the following expressions could represent the lengths
of the sides of the rectangle?
A. 6 and 3x
B. 3 and 2 + x
C. 6 and 6 + x
D. 3 and 2 + 3x
Answer:
B
Step-by-step explanation:
3(2+x)
distribute
=6+3x
75c- 300 - 35 c =25c + 15c + 200
Answer:
False
Step-by-step explanation:
40c - 300 = 40c + 200
-300 = 200
false
387/4300 as a percent
Answer:
9%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100. Hope this helps!
Please help meee I really need help I’ve been struggling badly..
Answer:
make it so that its flat or turn it left
Step-by-step explanation:
ASAP HELP BRAINLIEST 100 POINTS PLZ PLZ PLZ HELP
Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction
Answer:
20 inches wide and 30 inches tall
Step-by-step explanation:
if the height went from 6 to 30 that means it grew by 5 so the poster would be
20 inches wide and 30 inches tall
Answer:
Start Fraction 4/6
End Fraction 20/30
I NEED HELP WITH 3 MORE PROBLEMS
30 POINTS
Questions 2,3,4
Step-by-step explanation:
let, width= x
then length= x+5
if both are increased by 5 feet then
new width =x+5
and length = x+5+5=x+10
therefore
area =(x+5)×(x+10)
next are same as first one.Have a try.
Step-by-step explanation:
answer see in attachment
To estimate a number less than 5 we we should Round down for example 44 then 4 is less than 5 so it's estimated number is 40
Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50. How many books will Holly and Ethan need to sell to make a profit of exactly $30?
Answer:The answer would be 20 books divide 15 \ 1.50 equals 10 then multiply 10 by 2
Step-by-step explanation:
The number of books sold by Holly and Ethan to get a profit of $30 will be 20.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50.
The number of books will be calculated as,
1.5x = 30
x = 30 / 1.5
x = 20
Therefore, the number of books sold by Holly and Ethan to get a profit of $30 will be 20.
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