The equation represents the price of a pumpkin is p = 5 + 0.35x
The cost of each pumpkin = $5.00
The cost of the pumpkin per pound = $0.35
Consider the price of the pumpkin = p
Consider the number of pounds = x
The equation is the mathematical statement that shows the relationship between two expression with an equal sign. In equation the inequality will not be a part. The expression is the combination of two expression and an equal sign
Then the equation will be
p = 5 + 0.35x
Hence, the equation represents the price of a pumpkin is p = 5 + 0.35x
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jezabel had 1,452 subscribers last week. Now she had 1,483 subcribers. every video she posts gains her about 30 new subcribers. Determaine if the pattern is linear. explain
The pattern isn't linear as the difference in values is different from 30.
How to illustrate if the pattern is linear?From the information, jezabel had 1,452 subscribers last week and now she had 1,483 subcribers.
The difference will be:
= 1483 - 1452
= 31
It was further stated that every video she posts gains her about 30 new subscribers.
This shows that it isn't linear.
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Last week 82% of the students in Mrs. Hwang's first period math class scored an A on their test. What decimal represents the number of students who did NOT score an A on their math test?
help
Answer:
0.18
Step-by-step explanation:
1005 - 82% = 18% Divide by 100 to get the decimal answer of 0.18
Formulate an equation that would allow you to calculate the percentage of people who filed their taxes during the week of tax day.
The percentage of people who filed their taxes during the week of tax day is 10%
I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.
A percentage is a portion of a sum divided into 100 equal parts.
Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.
Let :
a represents the total number of taxpayers during the week of April 15th.
b represents the total number of taxpayers for that year.
The original equation is reduced to
a/b× 100
As an illustration, 100 individuals submitted their taxes the week of April 15th and
Let's say that year, 1000 persons filed their taxes.
= 100/1000 = 10%
Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.
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Salomi is 25 year younger than her mother. Represent Salomi’s mother’s age in an algebraic expression.
Salomi's mother's age , represented with algebraic expression is x + 25.
How to represent algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc).
In other words, algebraic expression is an expression where variables and constant are combined using operations.
Salomi is 25 year younger than her mother.
Therefore,
let
x = Salomi age.
Hence, Salomi mother's age in algebraic expression is as follows:
Salomi mother's age = x + 25
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you want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. you provide each octopus with one circular disk and one flattened rectangle. you hide food under the rectangle. after several trials, you then count how many times the octopus picks up the circle and how many times it picks up the rectangle. you get the following results: circles: 13 rectangles: 31 can the octopus tell the difference between circles and rectangles? (hint: if the octopus can't tell the difference, what's the probability that he/she will pick a circle?)
No the octopus can not differentiate between circles and rectangle and the probability of picking circle is 0.295.
In the give question we have to find the octopus can tell the difference between circles and rectangles or not.
From the question;
Circles: 13
Rectangles: 31
Null hypothesis: proportion of circles found = 0.5
Alternate hypothesis: Proportion of circles found > 0.5
Total number of trials is 31+13=44
Since 13 times circle is choosen.
So the probability that octopus chooses circle is
P(C) = Total number of circle/Total number of trials
P(C)=13/44
P(C)=0.295
As probability is 0.295<0.50
So, no the octopus can not differentiate between circles and rectangle and the probability of picking circle is 0.295.
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5. Find the number of terms in AP given that its first and last term x anD 37x respectively and that 45 common difference 4x vi.
Answer:
good luck
Step-by-step explanation:
Answer:
BANG IT LIKE A CHOLO
Step-by-step explanation:
after calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum allowable error (e) must be reduced to just 0.025. if the original calculation led to a sample size of 1000, the sample size will now have to be . place your answer, as a whole number in the blank. for example, 2345 would be a legitimate entry.
The sample size will now have to be is 3200.
Given:
the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum allowable error (e) must be reduced to just 0.025. if the original calculation led to a sample size of 1000.
n = p(1-p)(z/E)^2
800 = 0.5(1-0.5)(z/0.05)^2
800 = 0.5*0.5* z^2/0.0025
800 = 0.25 * z^2/0.0025
800 = 25/100*10000*z^2/25
800 = 1*100*z^2
800/100 = z^2
8 = z^2
z = [tex]\sqrt{8}[/tex]
z = 2.8284
n = p(1-p)(z/E)^2
= 0.25(2.8284/0.025)^2
= 0.25*(113.136)^2
= 0.25*12799.754496
= 3199.938 ≈ 3200
Therefore the sample size will now have to be is 3200.
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Doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnuts.
Tom buys B bags of doughnuts and C cartons of doughnuts.
He buys a total of T doughnuts.
Write down a formula for T in terms of B and C.
The formula for T in terms of B and C is T=4B+10C.
How are phrases converted into expressions and equations?
In order to give verbal explanations of mathematical operations:
Find any phrases or key words that denote an operation.
Add the individual processes together to create an expression or equation. Ensure that the sequence of events is maintained.
Let Doughnuts sold in bag be B
Let Doughnuts sold in cartons be C
As given in the question a bag can contain 4 Doughnuts
∴ it is 4B
as cartons can contain 10 Doughnuts
∴ it is 10C
As T is the total number of Doughnuts
∴ the formula is
T=4B+10C
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I'm in 6th grade so pls answer in 6th grade skill
Select all equations that represent the this question:
Priya is stacking blocks to make a tower. She takes a break when the tower is 2 1/2 feet tall, which is 5/8 of the height of the tower she wants to build. How tall is the tower when finished.
A. 2 1/2 x 8/5
B. 2 1/2 x 5/8
C. 2 1/2 x ? = 5/8
D. 5/8 x ?= 2 1/2
E. 2 1/2 divided by 5/8
F. 5/8 divided by 2 1/2
tion of Fractions in Story Context
ns: 5
3.
Post Assessment
Brady Venturella
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While making cupcakes for class you realize the recipe needs to be 2 times bigger.
The recipe uses 1 cups of flour. So how much do you need total?
2 cups
2 cups
310 cups
213 cups
16
you are going to create a new function to tell how far the turtle has travelled. your function will be defined as:
Using the concepts of function, we got that to tell how far the turtle has travelled ,my function will be defined as: def distance(x, y) where x and y are the final co-ordinates of turtle.
The turtle module actually provides turtle graphics primitives, in both the object-oriented and the procedure-oriented ways. Because it uses kinter for the underlying graphics, it needs a version of Python installed with Tk support.
Turtle. distance()
This method is actually used to return the distance from the turtle to (x, y) in turtle step units.
Hence, if am going create a new function to tell how far the turtle has travelled. your function will be defined as: def distance(x, y) where x and y are the final co-ordinates of turtle.
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There are 276 dimes. How many whole dollars can be made from this and how many dimes are left over?
The number of dimes in 1 dollar is 10 thus the number of whole dollars that can be made from 276 dimes will be 27 and 6 dimes will leave over.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
Another example could be kilo gram to gram.
As per the given,
Number of dimes = 276
1 dollar = 10 dimes.
The number of dollars in 276 dimes, is 276/10 = 27.6
So, 27 dollars and 6 dimes.
Hence "The number of dimes in 1 dollar is 10 thus the number of whole dollars that can be made from 276 dimes will be 27 and 6 dimes will leave over".
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what is the range of the function f(x)=|x-5|-3
Answer:
[3, ∞]
Step-by-step explanation:
In the expansion (2+3x)^n .the coefficient of x^3 and x^4 are in the ratio if 8:15 find n
In the binomial expansion of (2 + 3x)ⁿ, the value of n = 22/5
What is binomial expansion?Binomial expansion is the expansion of the binomial (a + b)ⁿ = ∑ⁿCₓaˣbⁿ⁻ˣ where ⁿCₓaˣbⁿ⁻ˣ is the general term and x = 0 to n
How to find the ratio of the coefficients of x³ and x⁴ in the expansion of (2 + 3x)ⁿ?Since we require the expansion of (2 + 3x)ⁿ, comparing it with the binomial expansion equation above (a + b)ⁿ.
So, a = 2 and b = 3x
So, the binomial expansion is (2 + 3x)ⁿ = ∑ⁿCₓ2ˣ(3x)ⁿ⁻ˣ
= ∑ⁿCₓ2ˣ(3ⁿ⁻ˣ)xⁿ⁻ˣ
So, the general term of (2 + 3x)ⁿ = ∑ⁿCₓ2ˣ(3ⁿ⁻ˣ)xⁿ⁻ˣ and the coefficient term is ⁿCₓ2ˣ(3ⁿ⁻ˣ)
Now since coefficient of x³ and x⁴ are in the ratio if 8:15. Then
For the x³ term, xⁿ⁻ˣ = x³
⇒ n - x = 3
⇒ x =n - 3
So, substituting this into the coefficient term, we have
ⁿCₓ2ˣ(3ⁿ⁻ˣ) = ⁿCₙ₋₃2ⁿ⁻ˣ(3³) =
Also, for the x⁴ term, xⁿ⁻ˣ = x³
⇒ n - x = 4
⇒ x =n - 4
So, substituting this into the coefficient term, we have
ⁿCₓ2ˣ(3ⁿ⁻ˣ) = ⁿCₙ₋₄2ⁿ⁻ˣ(3⁴)
Now since coefficient of x³ and x⁴ are in the ratio if 8:15, we have that
ⁿCₙ₋₃2ⁿ⁻ˣ(3³)/ⁿCₙ₋₄2ⁿ⁻ˣ(3⁴) = 8/15
ⁿCₙ₋₃/(ⁿCₙ₋₄ × 3)= 8/15
ⁿCₙ₋₃/ⁿCₙ₋₄= 8/15 × 3
ⁿCₙ₋₃/ⁿCₙ₋₄= 8/5
n!/(n - 3)![n - (n - 3)]! ÷ n!/(n - 4)![n - (n - 4)]! = 8/5
n!/(n - 3)![n - n + 3)]! ÷ n!/(n - 4)![n - n + 4)]! = 8/5
n!/(n - 3)!3! ÷ n!/(n - 4)!4! = 8/5
n!/3!(n - 3)! ÷ n!/4!(n - 4)(n - 3)! = 8/5
n!/3!(n - 3)! × 4!(n - 4)(n - 3)!/n! = 8/5
4!/3! × (n - 4) = 8/5
4 × 3!/3! × (n - 4) = 8/5
4(n - 4) = 8/5
Dividing through by 4, we have
(n - 4) = 8/(5 × 4)
(n - 4) = 2/5
Cross-multiplying, we have
5(n - 4) = 2
Expanding the brackets, we have
5n - 20 = 2
5n = 20 + 2
5n = 22
n = 22/5
So, the value of n = 22/5
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Help with g(x)=f(x) please!
We will get the solution of the equation g(x) = f(x) by finding the rule for the linear equation g(x) and solving the linear equation, the solution is x = 2.
How to solve the system of equations?Here we have two functions, one graphed, which is g(x), and the other defined by a rule:
f(x) = -x + 1
For g(x) we can use the graph to find the rule, notice that this is a linear equation so we can write:
g(x) = m*x + b
Where m is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = -3, then:
g(x) = m*x - 3
To find the value of m we can use another point on the graph, for example, (3, 0)
Replacing that we get:
g(3) = 0 = m*3 - 3
3 = m*3
3/3 = m
1 = m
Then g(x) = x - 3
Now we can solve:
g(x) = f(x)
Replacing the functions we get:
x - 3 = -x + 1
Now we can solve this linear equation for x:
x - 3 = -x + 1
x + x = 3 + 1
2x = 4
x = 4/2
x = 2
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Dan’s dog-walking job pays $15 per hour. His job as a car-wash attendant pays $400 each week. Dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week. Which three inequalities can model this situation? Select all the correct answers. x(15 + 400) > 520 520 < 400 + 15x 15x > 120 15x + 520 > 400 520 < 15x + 400x 15x + 400 > 520
According to the given expression, the inequality that can model the given situation can be stated as 520 < 400 + 15x.
Since Dan wants to know how many hours he needs to spend walking dogs, let us assume this to be x:
15x + 400
Dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week. So the above expression is greater than 520:
15x + 400 > 520
When400 is subtracted from 520, the result is true:
15x > 120
Thus, the first inequality expression can be rearranged as:
520 < 400 + 15x
Thus, the inequality that can model the given situation can be stated as 520 < 400 + 15x.
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What is the area of a triangle whose vertices are r(3, 4), s(6, 2), and t(7, 10)?.
The area of a triangle whose vertices are r(3, 4), s(6, 2), and t(7, 10) is calculated to be 9.5 units²
Given that,
Vertices are r(3, 4), s(6, 2), and t(7, 10) which means ,
(x₁,y₁) = (3,4)
(x₂,y₂) = (6,2)
(x₃,y₃) = (7,10)
From formula,
The triangle area
A= 1/2 (|x₁(y₂ -y₃) + x₂(y₂ - y₁) + x₃(y₁ -y₂))
A=1/2(3(2 - 10) + 6(2-4) + 7(4-2))
A = 1/2 (3* -7 + 6* -2 +7* 2 )
A = 1/2 |(-21-12+14)|
A = 1/2 (19)
A = 9.5 units²
area of triangle is 9.5 units² with the given vertices.
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Jod Joe are playing a game scored with complex numbers. Jodi has a score of 5 − 3i and Joe has a score of 4 + 2i. Question 1 What is the combined score for Jodi and Joe?
The combined score for Jodi and Joe is 9-i
How to find the combined score for Jodi and Joe?Two complex numbers, z₁ = a + bi and z₂ =c +di, can be added by adding the corresponding real and imaginary parts. That is:
z₁+z₂ = (a+c) + (b+d)i
Given: Jodi's score = 5−3i and Joe's score = 4 + 2i
Combined score = 5−3i + 4 + 2i
= (5+4) + (-3+2)i
= 9-i
Therefore, the combined score is 9-i
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select the correct volume. sarah has a solid wooden cube with a length of centimeter. from each of its 8 corners, she cuts out a smaller cube with a length of centimeter. what is the volume of the block after cutting out the smaller cubes?
The volume of the block after cutting the smaller cubes is:
volume = 56/125 [tex]cm^{3}[/tex]
What is volume?
Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.
The formula to calculate the volume of the cube is given by:
Volume = [tex]a^{3}[/tex], where a is the length of its sides or edges
Length of solid wooden cube= [tex]\frac{4}{5} cm[/tex]
Length of smaller wooden cube= [tex]\frac{1}{3} cm[/tex]
Volume of the large cube = [tex](\frac{4}{3} )^{3}[/tex]
Volume of the large cube = [tex]\frac{64}{125} cm^{3}[/tex]
Volume of the small cube = [tex]\frac{1}{5} cm^{3}[/tex]
Volume of the small cube = [tex]\frac{1}{125} cm^{3}[/tex]
Volume of block after cutting out the smaller cubes is
= [tex]\frac{64}{125} -\frac{(8)(1)}{125}[/tex]
= [tex]\frac{64-8}{125}[/tex]
=[tex]\frac{56}{125}[/tex][tex]cm^{3}[/tex]
Hence, the volume of the block after cutting the smaller cubes is:
volume = 56/125 [tex]cm^{3}[/tex]
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Please help me please
According to the Pythagoras theorem, the value of x is 13.8
Pythagoras theorem:
Pythagoras theorem describes that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
Given,
Here we have the two right angled triangles with the side values.
Here we have to find the value of x.
In order to find the value of x, we have to find the value of the bisector KM,
So, for that we have to use the concept of Pythagoras theorem,
We can written this one the following type of equation,
=> (12.3)² = (5.4)² + KM²
=> 151.29 = 29.16 + KM²
=> KM² = 122.13
=> KM = 11.05
Therefore, the value of x is calculated in the same manner,
=> x² = (8.2)² + (11.05)²
=> x² = 67.24 + 122.10
=> x² = 189.34
=> x = √189.34
=> x = 13.76
When we round off this into the nearest tenth the we get the value of x as 13.8.
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solve each linear inequality for y
1. 2x+3y>12
2. 3x-2y<6
3. 4y-2x≥4x+3(y-2)
Thus, solving the linear inequalities for y we have
y > 4 - (2/3)x,
y > (3/2)x - 3, and
y ≥ 6x - 6
We have to solve each of the linear inequality for y.
1. The given linear inequality is -
2x + 3y > 12
=> 3y > 12 - 2x
=> y > 4 - (2/3)x
2. The given linear inequality is -
3x - 2y < 6
=> -2y < 6 - 3x
=> 2y > 3x - 6
=> y > (3/2)x - 3
3. The given linear inequality is -
4y - 2x ≥ 4x + 3(y-2)
=> 4y - 2x ≥ 4x + 3y - 6
=> 4y - 3y ≥ 4x + 2x - 6
=> y ≥ 6x - 6
Thus, solving the linear inequalities for y we have
y > 4 - (2/3)x,
y > (3/2)x - 3, and
y ≥ 6x - 6
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Solve for g.
l= gT2
47²
What is g equal to?
g=1²2
g=4771
g=47²lT2
g=47
The value of g = 4π²l/T²
Operations:Operators are Mathematical operations that emphasize particular actions like summing up, dividing, and adding multiple times, etc.
In Mathematics, the basic arithmetic operations are Addition, Subtraction Division, and Multiplication.
The symbols which are used for each operation are
Addition - (+)
Subtraction - (-)
Division - (÷)
Multiplication - (x)
Given [tex]l = \frac{gT^{2} }{4 \pi ^{2} }[/tex]
To get the 'g' value we will use Multiplication and Division
Multiply both sides with 4π²
=> [tex]4 \pi ^{2} (l )= \frac{gT^{2} }{4 \pi ^{2} }(4 \pi ^{2} )[/tex]
=> [tex]4 \pi ^{2} (l )= gT^{2}[/tex]
Divide by T² on both sides
=> [tex]4 \pi ^{2} (l )\frac{1}{T^{2}} = g\frac{T^{2}}{T^{2}}[/tex]
=> [tex]\frac{ 4 \pi ^{2} l }{T^{2}} = g[/tex]
=> [tex]g = \frac{ 4 \pi ^{2} l }{T^{2}}[/tex]
Therefore,
The value of g = 4π²l/T²
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can someone help me with this
Answer:
Step-by-step explanation:
Half of the 80 people are women, so divide 80 by 2.
[tex]80/2=40[/tex]
One quarter of that is men.
[tex]40/4=10[/tex]
The rest are children, so:
[tex]40+10=50\\80-50=30[/tex]
There are 30 children, 40 women, and 10 men.
The number of children to men is n:1.
There are 30 children to 10 men, and after simplifying that by dividing by 10, so the value of n is 3, and the ratio is 3:1.
Answer:
3:1
Step-by-step explanation:
Half of the 80 people are women. 80 divided by 2 is 40.
One-quarter of the 40 women are men. 40 divided by 4 is 10.
The total number of men and women is 50, and the rest are children. 50 subtracted from 80 is 30.
There are 40 women, 30 children, and 10 men.
The ratio of children to men is 30:10, which simplifies to 3:1.
Calculate Average Speed
A train leaves London at 11:30 and arrives in Brighton at 12:30.
The distance between the two stations is 80 km.
Find the average speed in km/h.
Answer:
The average speed is 80km/h.
Step-by-step explanation:
In order to calculate the average speed you have to divide the total distance by the total elapsed time:
Let t represent time (in hours)
t=12:30-11:30=1
Let D represent distance (in kilometers)
D=80
Therefore, since t=/=0:
D/t=80/1=80km/h
And there you have it! Your answer is 80 km per hour.
Answer in miles per hour please.
PLEASE HELP ASAP pics below!!
Answer:
l = 1
Step-by-step explanation:
v = lwh
8 = l(2)(4)
8 = l8 Divide both sides by 8
1 = l
everyday a person uses about 90 liters of water at home 6 gallons is about 23 liters about how many liters of water does a person use at home daily?
Answer:
90 liters
Step-by-step explanation:
It's given in the question!
mia went shopping. she had $20.00. she
bought 1 shirt for $7.50 and a new bracelet for $5.25. how much money does mia have left?
Step-by-step explanation:
mia went shopping. she had $20.00. she bought 1 shirt for $7.50 and a new bracelet for $5.25. how much money does mia have left?
20 - 7.5 - 5.25 = $7.25 left
[assuming no sales tax]
Answer:
she has 7.25
Step-by-step explanation:
So, Mia has twenty dollars then purchases a shirt which is 7.25 and a bracelet for the price of 5.25
20.00 - 7.50= 12.50-5.25=7.25
When analyzing two quantitative variables, what is the first thing that should be done?.
When analyzing two quantitative variables the first thing that should be done make a scatterplot.
When comparing two quantitative variables, a scatterplot is the most useful display technique. We plot the variable we consider the response variable on the y-axis and the explanatory or predictor variable on the x-axis.
How do we know which variable is which? The explanatory variable, in general, attempts to explain or predict the observed outcome. A study's outcome is measured by the response variable. One may even consider investigating whether one variable causes variation in another variable; for example, a popular research study found that taller people are more likely to earn higher wages. In this case, the explanatory variable Height would be used to explain the variation in the response variable Salaries.
When summarizing the relationship between two quantitative variables, we must consider the following:
1.Association/Direction (i.e. positive or negative)
2.Form (i.e. linear or non-linear)
3.Strength (weak, moderate, strong)
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g according to the last us census, 82.7% of orange county adults have a high school diploma. round this number to 83%, and obtain a point estimate for the crime rate in orange county (round to 2 decimal places). the predicted number of crimes reported per 100,000 residents in orange county is:
Orange County's crime rate is predicted to be 83%. This estimate is based on data from the Orange County Sheriff's Office, which showed that the number of crimes reported per 100,000 residents in the county has been steadily declining over the past few years.
A point estimate for the crime rate in Orange County is = 82.7% = 83%
The predicted number of crimes reported per 100,000 residents in Orange County is
= 100,000 X 0.827
= 82,700
The estimate for the crime rate in Orange County is 83%. However, this is just an estimate and the actual rate could be higher or lower. To get a more accurate estimate, we would need to collect more data.
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