Answer:
☐ 3 pints
☐ 1 gallon
Step-by-step explanation:
4cups = 32 fluid ounces = 2 pints = 1 quart = 0.25 gallons
30 fl oz is less than 4 cups
2 pints is exactly 4 cups but we are looking for numbers greater than 4 cups
3 pints is more than 4 cups so this is a correct choice
1 quart is exactly 4 cups but we are looking for numbers greater than 4 cups
1 gallon is 16 cups so a valid choice
NEED HELP ASAP!
Mary Cunningham offered $456,500 for a home that had been
priced at $569,500. The seller agreed to the offer. A bank is willing
to finance the purchase if she can make a down payment of 20%.
a. What is the amount of the down payment?
b. What is the amount of the mortgage loan?
The amount of the down payment is $91300 if the bank is offering the down payment percent 20%.
What is percentage ?
percentage can be defined as the product of given value , total value and hundred .
Given,
Mary Cunningham offered $456,500 for a home that had been
priced at $569,500.
A bank is willing to finance the purchase if she can make a down payment of 20%.
So,
the offered amount is $456,500
and the down payment percentage is 20%
let the amount of the down payment is x .
so the amount of the down payment is
x = (20 / 100 ) * 456500
x = 91300
Hence the amount of the down payment is $91300.
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Fabian says that 25% of a number will always be greater than 10% of any other number.
Complete one inequality to support Fabian's claim and one to show that he is incorrect.
An example to support Fabian statement is that 25% of 100 is more than 10% of 100.
An example to negate Fabian statement is that 25% of -100 is less than 10% of -100.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100
An example to support Fabian statement is that 25% of 100 is more than 10% of 100. In this case, 25 it more than 10.
An example to negate Fabian statement is that 25% of -100 is less than 10% of -100. In this case, -25 is less than -10.
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write the equation of the line perpendicular to y=1/5x -11 passing through the point (0, -8)
The equation of the perpendicular line is y = -5x - 8
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 1/5x - 11
Also, from the question;
We have the following points
Point = (0, 8) i.e. (x, y) = (0, 8)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 1/5
This means that the slope is 1/5
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -5
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = -5
(x₁, y₁) = (0, -8)
So, we have
y = -5(x - 0) - 8
Evaluate
y = -5x - 8
Hence, the line has an equation of y = -5x - 8
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Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a box-and-whisker plot. List the maximum, minimum, and quartiles below. has to be a sentence
A box-and-whisker plot which represent the given data set is shown in the image attached below.
The five-number summary for the given data set have been listed correctly below.
What is a box-and-whisker plot?In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.
By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:
Minimum = 0.First quartile = 4.Median = 7.Third quartile = 9.Maximum = 11.By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.
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Click on the measure of angle x.
125°
55°
55°
45°
35°
Done →
Answer:
x = 35
Step-by-step explanation:
90 - 55 = 35
State whether the table represents a linear or exponential function. Be sure to explain
your reasoning.
X
0
1
2
3
4
5
Y
2
5
8
11
14
17
The function type of the table is linear function
How to determine the function type of the tableFrom the question, we have the following parameters that can be used in our computation:
X 0 1 2 3 4 5
Y 2 5 8 11 14 17
From the above table, we can see that:
As the value of x increases by 1The values of y constantly increase by 3The constant increment means that the function type is a linear function
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what is 7 1/2 dived by 3/4=
The value of the division for 7 1/2 divided by 3/4 will be 10.
How to illustrate the fraction?It is important to note that this questions relates from a fraction. A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
The value of the division will be:
= 7 1/2 ÷ 3/4
= 15/2 ÷ 3/4
= 15/2 × 4/3
= 60/6
= 10
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The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet.
The surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π [tex]ft^{2}[/tex]
What is volume of cylinder ?
volume of cylinder is product of pi and square of radius and height of the cylinder.
Given,
height of cylinder = 10 feet
base of radius of cylinder = 4 feet.
Surface area of cylinder is
A=2πrh+2πr2
A = π (2rh+2r2)
A = π (2*4*10 + 2* 4*4)
A =π(80+32)
A = 112 π [tex]ft^{2}[/tex] .
Hence, the surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π [tex]ft^{2}[/tex].
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an it company was planning to upgrade all its computers to a certain standard. from the following figure, find out how many systems need to install an antivirus and upgrade the ram the enhance the atorage but do not need to change the cpu model and replace the crt monitor?
on solving the question, Therefore , the solution of the given equation problem comes out to be 8.
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
Here,
In the given quadratic equation,
[tex](-3)² - 5(-3) + c = 0\\c = -24\\x² - 5x - 24 = 0\\x = [-b ±√(b² - 4(a)(c))]/2a\\x = [-(-5) ± √((-5)² - 4(1)(-24))] /2(1)\\x = 8, -3\\[/tex]
thus, 8 is the alternate answer.
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Challenge In a company, 75% of the workers are women. If 850 people work for the company who aren't women, how many workers are there in all?
The total number of workers in that company is 3,400 workers.
How to calculate the number of workers?To calculate the total number of workers in this company we must take into account what is the percentage of workers and the number of workers that we know:
25% = 850 workers (not women).
In accordance with the above information, we can state that we know a quarter of all the workers, that is, if a quarter of the workers equals 850 workers, 100% of the workers equals 850 * 4 as shown then:
850 * 4 = 3,400
So, the total number of workers would be 3,400, of which 850 are men and 2,550 are women.
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In the figure below, JK is tangent to circle L. Solve for x. Round your answer to the nearest tenth (one decimal place).
The value of the tangent JK in the cyclic quadrilateral is 14.25
What is Cyclic QuadrilateralA cyclic quadrilateral is a four-sided polygon for which the opposite angles are supplementary, meaning that the sum of the angles is equal to 180 degrees. Additionally, a cyclic quadrilateral can also be defined as a quadrilateral that can be inscribed in a circle, meaning that all four vertices of the quadrilateral lie on the circumference of the same circle.
To find the value of x, we can use Pythagoras theorem.
c² = a² + b²
18² = 11² + x²
x² = 18² - 11²
x² = 203
x = √203
x = 14.25
The value of x in the tangent JK is 14.25
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When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes. Out of the 262 days that Aria commutes to work per year, how many times would her commute be between 32 and 35 minutes, to the nearest whole number ?
Answer:
To find the number of times that Aria's commute is between 32 and 35 minutes, we need to find the probability that her commute time is between 32 and 35 minutes and then multiply that probability by the total number of commutes per year.
To find the probability that Aria's commute time is between 32 and 35 minutes, we need to find the area under the normal curve between those two values.
We can use the following formula to convert the values 32 and 35 to standard units:
z = (x - mean) / standard deviation
Plugging in the values, we get:
z1 = (32 - 28) / 4.5 = 0.89
z2 = (35 - 28) / 4.5 = 1.56
To find the area under the curve between these two values, we can use a standard normal table or a calculator to find the area between these two values. The result is approximately 0.22.
Multiplying this probability by the total number of commutes per year gives us the number of times that Aria's commute is between 32 and 35 minutes.
So the number of times that Aria's commute is between 32 and 35 minutes is approximately 262 * 0.22 = 57.24, which is about 57 times to the nearest whole number.
Step-by-step explanation:
at a sale at an electronics store a plasma television originally priced at 500 is marked 15 off what is its selling price?
The plasma television is selling for $425 after the 15% discount.
What is the Selling price and cost price?
The selling price of a product is the price at which it is sold to the customer. It is the price that the customer pays for the product, and it includes any taxes or additional charges.
The cost price, also known as the wholesale price or the wholesale cost, is the price at which the manufacturer or supplier sells the product to the retailer or the distributor. It is the price that the retailer or distributor pays to acquire the product, and it does not include any taxes or additional charges.
If an item is marked 15% off, that means that you will pay 85% of the original price. To calculate the selling price of the plasma television, you can use the following formula:
Selling price = Original price x (100 - discount%) / 100
In this case, the original price of the television is $500 and the discount is 15%, so the selling price is:
Selling price = $500 x (100 - 15) / 100 = $500 x 0.85 = $425
Hence, the plasma television is selling for $425 after the 15% discount.
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Melanie can do a job in 4 hours. Kim can do the same job in 6 hours. If they work together, how long will it take to complete the job?
Answer:
melanie can do a job in 4 hours
so she can do 1/4 of the job in 1 hour
Kim does the same job in 6 hours
So he can do 1/6 job in 1 hour
Together they can do 1/4 + 1/6 of the job in 1 hour
1/4 + 1/6
= 3+2 / 12
= 5/12 job in one hour
so 1 job they will do together in 12/5 hours
= 2.4 hours
20 POINTS! Need Help
A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $100, and the club is charging $10 per student that attends.
Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 80
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 120
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 100 through the point 2 comma 80
graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 100 through the point 2 comma 120
The graph that describes the relationship between the money raised and the number of students is A. graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 80.
Which graph shows the relationship?The decorations for the dance cost $ 100 which means that the students would start from a negative amount when raising money. This negative amount is - 100 which is the amount made when there are zero students.
When two students pay for attending, they will pay :
= 10 x 2 students
= $ 20
The amount of money raised would then be:
= - 100 + 20
= - 80
So at the point where there are 2 students. the amount raised is - $80 which is shown on the graph as ( 2, -80 ).
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Select the correct zeros and the correct graph of the function below.
Zeros: (0,0 (-1,4) (-3,0) (2,0)
(0,-2) (3,0) (-1,0) (0,-3)
The graph of the function would be a parabola with zeros at (0,0), (-1,4), (-3,0), (2,0), (0,-2), (3,0), (-1,0), (0,-3).
What is function?A function is a mathematical relationship between two or more variables where one variable (the output) is determined by the values of the other variables (the inputs). Functions are often written as an equation, such as y = f(x), where x is the input and y is the output. The equation defines the relationship between x and y and how the output (y) changes as the input (x) changes. Functions can be used to model real-life situations, such as predicting population growth or modeling the motion of objects.
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Laila went for a 10 km run. She ran the first
5 km in 30 minutes, then rested for
25 minutes. She then ran the rest of the way
in 35 minutes.
Distance travelled (km)
Work out the value of t.
10+
S
0
30
55
Time (minutes)
The value of t is the total time she took in her whole journey = 1 hour and 30 minutes.
What is the time?The definition of time is the system of those sequential relations that any event has to any other, as past, present, or future.
Given that, Layla went for a 10 km run. She ran the first 5 km in 30 minutes, then rested for 25 minutes. She then ran the rest of the way in 35 minutes.
The value of t will be the total time she took in her whole journey,
Therefore,
She ran for 30 minutes, then she 25 minutes, and then she completed the rest of the journey in 35 minutes'
SO, the total time she took = 30+25+35 = 90 minutes
90 minutes = 60 minutes + 30 minutes
= 1 hours + 30 minutes
= 1.5 hours or 1 hour and 30 minutes.
Hence, total time she took is 1 hour and 30 minutes.
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A city has a population of 370,000 people. Suppose that each year the population grows by 6.25%. What will the population be after 8 years?
Use the calculator provided and round your answer to the nearest whole number.
people
Answer:
600943 people-----------------------------
Current population is 370000 people.
Growth rate is 6.25%.
The population after 8 years will be:
370000*(1 + 6.25/100)⁸ = 370000*1.0625⁸ = 600943 (rounded)Mara made a cake. If she gave 4/9 of the cake to her daughter and 1/6 of the cake to her son
Answer:
7/18.
Step-by-step explanation:
Based on the given conditions, formulate: 1 - 1/6 - 4/9 Convert the expression into a fraction: 1/1.
I need the simplified form
Complete the table.
6^-1
6^-2
6^-3
6^-4
The simplified for of the expression is as follows:
6⁻¹ = 1 / 6
6⁻² = 1 / 36
6⁻³ = 1 / 216
6⁻⁴ == 1 / 1296
How to simplify an expression?In mathematics, an expression is a combination of numbers, variables, operations such as addition, subtraction, multiplication or division etc.
Therefore, the law of exponential can be used to simplify the exponent form of the expression as follows;
Therefore,
a⁻¹ = 1 / a
Hence,
6⁻¹ = 1 / 6
6⁻² = 1 / 6² = 1 / 6 × 6 = 1 / 36
6⁻³ = 1 / 6³ = 1 / 6 × 6 × 6 = 1 / 216
6⁻⁴ = 1 / 6⁴ = 1 / 6 × 6 × 6 × 6 = 1 / 1296
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pls help it’s my last question
Answer:
C is your answer
correct if I'm wrong
Step-by-step explanation:
Equation of the horizontal line is given by y = k, where k is any value on the y-axis.
how many fourths of a gallons are in 3/4 of a gallon? write an equation and give the quotient
The count of fourths of a gallon that are in 3/4 of a gallon is 3
How to determine the count of fourths of a gallon are in 3/4 of a gallon?From the question, we have the following parameters that can be used in our computation:
Size of the gallon = 3/4 of a gallon
Section of the gallon = fourths
The count of fourths of a gallon are in 3/4 of a gallon using the following unit rate equation
Count = Size of the gallon/Section of the gallon
Substitute the known values in the above equation, so, we have the following representation
Count = (3/4)/(fourths)
fourths means 1/4
So, we have
Count = (3/4)/(1/4)
Evaluate the quotient
So, we have the following representation
Count = 3
Hence, the count is 3
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9. On a map, 2.5cm represents 1km, what is the actual distance between two towns 15cm apart on the map?
The actual distance between two towns 15cm apart on the map is 6km.
What is distance?Distance, a scalar quantity, measures the amount of space an object has travelled through while in motion. The distance when represented on a graph are usually scaled to a value that can be easily represented, rather than actual distance.
What is cross multiplication?When using the cross-multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa. Cross-multiplication method can be used to solve linear equations containing two variables.
Given that:
2.5cm = 1km
15cm = x km
Using cross multiplication, we have:
[tex]x= \frac{(1)(15)}{2.5} \\\\x=6[/tex]
Hence, the actual distance between two towns 15cm apart on the map is 6km.
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16. Yusuf has made a goal to go running every day. The only time available in his schedule is first thing in the morning so he sets am
alarm. When the alarm goes off, it's really hard for Yusuf to get out from under his warm covers. Which would be the BEST way
for Yusuf to motivate himself and stick to his goal?
Achieving your goals is hard work. If they're aligned with your values and purpose, you're probably intrinsically motivated to keep going.
What is motivation?The term "motivation" describes why a person does something. It is the driving force behind human actions. Motivation is the process that initiates, guides, and maintains goal-oriented behaviors.For instance, motivation is what helps you lose extra weight, or pushes you to get that promotion at work. In short, motivation causes you to act in a way that gets you closer to your goals. Motivation includes the biological, emotional, social, and cognitive forces that activate human behavior.Motivation is the reason for which humans and other animals initiate, continue, or terminate a behavior at a given time. Motivational states are commonly understood as forces acting within the agent that create a disposition to engage in goal-directed behavior.To learn more about Motivation refer to:
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Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 17 options: A) Addition property of equality and division property of equality B) Distributive property, addition property of equality, and division property of equality C) Addition property of equality and multiplication property of equality D) Distributive property, subtraction property of equality, and multiplication property of equality
The properties that are applied is A) Addition property of equality and division property of equality
How to calculate the equation?Given equation 3 x -6 =12
Apply addition property of equality
Adding '6' on both sides , we get
3 x - 6 + 6 = 12 +6
3 x = 18
Apply Division property of equality
Dividing '3' on both sides , we get
Applying division
3x / 3 = 18/3
on simplification , we get
x = 6
The solution of the given equation is x =6
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Write a quadratic equation in the form x^2+bx+c=0x 2 +bx+c=0 that has the following roots: Roots: -10± √15
Answer:
For this, we work backward from the Pythagorean equation.
-b±√(b2-4ac)/(2a)
We have -4±√(11)
We can determine that b = 4 and 2a=1, so a = 1/2
Next, analyze the root to find c:
√(b2-4ac) = √11
(b2-4ac) = 11, but we know a and b
(42-4(1/2)c) = 11
(16 - 2c) = 11
-2c = -5
c = 5/2
So with a = 1/2, b = 4, and c = 5/2 we have our equation
(1/2)x2 + 4x + (5/2) = 0
Step-by-step explanation:
Metropolis requires that for every 5 plots or land used for buildings. 2 plots of land must be left for green space.
A company bought 70 plots of land. How many plots can it use for buildings?
A company can use 50 plots of lands for buildings.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Metropolis requires that for every 5 plots or land used for buildings.
2 plots of land must be left for green space.
A company bought 70 plots of land.
To find the number of green plots:
First, we find the number of green plots.
Applying division operation,
70 ÷ (5 + 2)
= 70 ÷ 7
= 10
Now, the number of green plots,
10 x 2 = 20 green plots.
Subtracting the number of green plots to total number of plots,
70 - 20
= 50 plots.
Therefore, 50 plots can be used for buildings.
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8x + 4 = 27 + 6x - 15
Answer:
x = 4
Step-by-step explanation:
Knowledge Needed
If you add, subtract, multiply, or divide the same number/variable on both sides of the equation, the end result will be the same.
To solve for a variable, we must first isolate it, meaning it is on its own side of the equation separate from integers and other constants.
The Question
8x + 4 = 27 + 6x - 15
Subtract 4 on both sides.
8x + 4 - 4 = 27 + 6x - 15 - 4
Combine like terms.
8x = 8 + 6x
Subtract 6x on both sides.
8x - 6x = 8 + 6x - 6x
Combine like terms.
2x = 8
Divide 2 on both sides.
[tex]\frac{2x}{2} = \frac{8}{2}[/tex]
Simplify.
x = 4
Find the quotient. 35,370 ÷ 262
The solution to the quotient expression 35,370 ÷ 262 is 135
How to evaluate the expression?From the question, we have the following parameters that can be used in our computation:
The quotient. 35,370 ÷ 262
To start with, we need to represent the statement as an expression
So, we have the following representation
35370 ÷ 262 = 35370/262
Using a calculator, we have the following result
So, we have the following representation
35370 ÷ 262 = 135
Hence, the solution is 135
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What is the least
common denominator
Answer:
9
Step-by-step explanation:
9 is the smallest number that 3 and 9 can both go into.
