5. The prices of packages of golf balls are
recorded in the table.
Packages of Golf Balls
1
2
3
4
Cost
$15
$30
$45
$60
A. Write a rule to find the cost of
n packages of golf balls.
B. How much do 7 packages of golf
balls cost?
The rule to find the cost and the cost of 7 packages can be given as 15n and $105 respectively.
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
The table for the given case can be written as follows,
Packages of Golf Balls Cost
1 $15
2 $30
3 $45
4 $60
The relation for proportionality can be obtained as,
15/1 = 30/2 = 45/3 = 60/4 = 15
(A) Suppose n be the number of packages.
Then, the cost is given as 15n.
(B) The cost of 7 packages is as below,
⇒ 15 × 7 = $105
Hence, the answers to both part can be given as 15n and $105 respectively.
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Graph the function y = - 5/3x - 1
Answer:
y intercept at (0,-1) and line runs through the points (-6,3) and (-3,4)
Step-by-step explanation:
What two whole numbers will the square root of 253 fall between?
Answer:
15 and 16
Step-by-step explanation:
the square root of 253 is about 15.91
A snack recipe calls for cup of sunflower seeds. The recipe makes 6 cups of the snack. Joshua wants to make 24 cups of the snack to bring on a camping trip. How many cups of sunflower seeds will Joshua need?
Joshua is going to invest $490 and leave it in an account for 5 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Joshua to end up with $620?
Answer: 4.7%
Step-by-step explanation:
A=Pe^rt
A=620. P=490. t=5
620 = 490e^r(5)
620/490 = 490e^5r/490
1.2653061 = e^5r
In(1.2653061) = In(e^5r)
In (1.2653061)/5 = 5r/5
0.0470628 = r
4.70628% = r
r = 4.7%
Expectation 2 Suppose that X is log-normal. For example log(x) follows a normal distribution with mean m and standard deviation k. What is the expectation of X? Pick ONE option exp(m - k2/2) exp(m + k²/2) exp(m) m
The expectation of X, when X is log-normal and log(X) follows a normal distribution with mean m and standard deviation k, is exp(m + k²/2).
Therefore the answer is exp(m + k²/2).
The log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. In other words, if X is log-normal, then log(X) follows a normal distribution with mean m and standard deviation k.
The expectation of a random variable is the expected value of the variable, which is a measure of the central tendency of the distribution. For a continuous probability distribution, the expectation is also known as the population mean. The expected value of X can be calculated using the probability density function (PDF) of X.
The expectation of X is calculated as the integral of X × f(X) over the range of X. Where f(X) is the probability density function of X and X is the random variable.
For log-normal distribution, the expectation of X is calculated as follows:
E(X) = exp(m + k²/2)
where m is the mean of log(X) and k is the standard deviation of log(X).
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Homer Simpson left an estate of $2.4 million. He left 10% to Springfield University, 15% to the First Church of Springfield, $600,000 to his wife Marge, and the remainder to be divided among his three children. How much did each child receive?
Hello there!
Answer:
$400'000
Step-by-step explanation:
Estate -- $2.4 million or $2'400'000
Springfield University will receive: 10% * $2'400'000 = 0.1 * $2'400'000 = $240'000
First Church of Springfield will receive: 15% * $2'400'000 = 0.15 * $2'400'000 = $360'000
Wife will receive $600'000
Total: $240'000 + $360'000 + $600'000 = $1'200'000
Children will receive at total: $2'400'000 - $1'200'000 = $1'200'000
So each child will receive: $1'200'000 / 3 = $400'000
Answer: Each child of Homer Simpson gets $400000.
Step-by-step explanation:
Homer Simpson left 10% of his estate, or (10/100) x $2.4 million
= $ (10/100)x2400000= $240000
$240,000 to Springfield University.
He left 15% of his estate, or (15/100) x $2.4 million = $(15/100)2400000
= $360000
So 360,000 to the First Church of Springfield.
So in total, he left $240,000 + $360,000 + $600,000 = $(240000+360000+600000)
=$1200000
$1,200,000 to organizations and his wife.
That means the remainder of the estate, $2.4 million - $1,200,000
= $2400000-1200000
= $1200000
1,200,000, was divided among his three children. So each child received $1,200,000 / 3 = $1200000/3
=$400000
Answer: $400000.
How do you solve equivalent questions?
One of the way by which we can solve equivalent questions is by multiplying both the numerator and the denominator by a same number .
The number chosen for the purpose should be same and should be a non zero number. Example, if we want to find the equivalent of 2/8 then we can simply multiply 2 and 8 which are the numerator and the denominator by a same number say 3 .
Then we will get the result as 2 x 3 /8 x 3 = 6 / 24 .
The result will be a number equivalent to the given fraction. This can be checked by reducing the result to its lowest terms.
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I’m confused, please help!
Answer:
B
Step-by-step explanation:
Did this problem yesterday
What is the sum of 1.3 and –1.8?
Answer in explanation:
although there's an addition sign, you subtract the two because a
(+) + (-) = (-) subtract
[This is a general rule, writing down the "rules" for reference is a good way to help if your having trouble]
subtract to find your answer (you keep the sign of 1.8 because it's the larger number.)
1.3 + (-1.8) =
-0.5
-0.5 is your answer
Hope this is clear!
6. Shenandoah's test scores were 70, 80, 80, and 90. What was his weighted average if the
tests were weighted 1, 3, 5, and 4, in that order?
The weighted average of Shenandoah's test scores is 82.3.
What is the weighted average?
To find a weighted average, multiply each number by its weight, then add the results. If the weights don't add up to one, find the sum of all the variables multiplied by their weight, then divide by the sum of the weights.
To calculate a weighted average, we need to multiply each score by its corresponding weight, and then add those products up and divide by the sum of all the weights.
To calculate a non-weighted average such as a mean average, all we need to do is, sum up, the scores and divide this sum by the number of scores. For a weighted average, each score must have a frequency attached to it. This frequency is called specific weight.
So in this case,
Weighted average = (701 + 803 + 805 + 904) / (1+3+5+4) = (70 + 240 + 400 + 360) / 13 = 1070/13 = 82.3
Hence, The weighted average of Shenandoah's test scores is 82.3
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A principal randomly chose 40 students from grade 7. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 480 students from grade 7?
Answer:
108 students
Step-by-step explanation:
We can just multiply each value by a k value, or a constant of variation, since we would expect them to be proportional. To find it, we take our two known variables and divide them. 480/40 = 12. Now we multiply that number by 9 to find the projected amount of students wearing watches in the whole grade. 12*9 = 108.
Convert 723.8 mm to cm.
Answer:
72.38
Step-by-step explanation:
When converting from mm to cm divide the length value by 10
which shape has at least one pair of perpendicular sides
Answer:
In a square or other rectangle, all pairs of adjacent sides are perpendicular. A right trapezoid is a trapezoid that has two pairs of adjacent sides that are perpendicular. Each of the four maltitudes of a quadrilateral is a perpendicular to a side through the midpoint of the opposite side.
Step-by-step explanation:
30PTS 30PTS don’t explain just answer (it’s not 90)
Answer:
20
Step-by-step explanation:
110 -70 = 40 40/2= 20
Answer:
[tex] \sf \: x = {20}^{o} [/tex]
Step-by-step explanation:
Let's take the value of y as,
→ y = 90°
(Because, it is a right angle)
Forming the equation,
→ x + y + 70° = 180°
Now the value of x will be,
→ x + y + 70° = 180°
→ x + 90° + 70° = 180°
→ x + 160° = 180°
→ x = 180° - 160°
→ [ x = 20° ]
Hence, the value of x is 20°.
which expression gives the number of magazines printed after t minutes ?
A) 2t
B) 70t
C) t+70
D) 2t + 70
Find the value of x in the diagram at the right.
Show your work.
In the given diagram beside a coffee, the value of x is 38.
What is diagram?A diagram is a visual, symbolic representation of data. Diagrams have been used on cave walls since prehistoric times, but they became more common during the Enlightenment. The method occasionally employs the projection of a three-dimensional visualisation onto a two-dimensional surface. Sometimes the word "graph" is used in place of the word "diagram."
We know that all angles here add up to 360°
And with the vertical angles theorem we get the equation
2(36°) + 2(78 - x)° + 2(3x - 10) = 360°
2(36 + 78 - x + 3x - 10) = 360°
2(104 + 2x) = 360°
208 + 4x = 360°
4x = 360 - 208
4x = 152
x = 152/4
x = 38
Thus, In the given diagram beside a coffee, the value of x is 38.
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Which angle is supplementary to DBE?
A. DBC
B. DBA
C. EBH
D. BGH
please answer this math question
stuck on this problem can someone please help
Answer: C = 12
Step-by-step explanation:
A = x
B = x[tex]\sqrt{3}[/tex]
C = 2x
So then to find A we divide B by [tex]\sqrt{3}[/tex], which makes A =6. But C = 2x, so then C = 2(6), which equals 12. Hope that helps :)
Identify m∠C in the triangle shown. (ASAP PLS HELP!)
A)
17°
B)
19°
C)
21°
D)
23°
Answer:
[tex]x = 21[/tex]
Step-by-step explanation:
Apply triangle interior theorem,
[tex]71 + 88 + x = 180[/tex]
[tex]159 + x = 180[/tex]
[tex]x = 21[/tex]
Do 5 - x > 8 and x - 5 < 8 have the same solution set? If so, describe the solution set. If not, give a example of a number that belongs to one solution set but not to the other.
The given equation does not give same solution set.The first equation gives negative number and second equation gives positive number as a solution.
What is inequality in math example?The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally,Compare the two values whether it is less than or greater than,then different inequalities are used.
How do we solve an inequality in math?Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number.
Now we solve
5-x>8 x-5<8
5-5-x>8-5 x-5+5<8+5
-x>3 x<13
Hence given equation does not give same solutions.
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A white cylindrical silo has a diameter of 30 feet and a height of 80 feet. A red stripe with a horizontal width of 3 feet is painted on the silo, as shown, making two complete revolutions around it. What is the area of the stripe in square feet
The provided solution says that
The cylinder can be "unwrapped" into a rectangle, to get a stripe that is a parallelogram with base 3 and height 80.
However, I don't understand how the height of the stripe can be eighty. The distance from the top of the cylinder to the bottom is 80 feet as given, so how can a winded stripe that goes around be also 80 feet? Isn't the shortest distance, 80 ft, simply from the top to the bottom? How does a winded spiral also become 80 feet ?
The stripe's area in square feet is 240 square units.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
The cylinder can be "unwrapped" into a rectangle, and we see that the stripe is a parallelogram with base 3 and height 80.
area=3*80
=240 square units.
the area of the stripe in square feet is 240 square units.
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Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories. Determine the number of calories per cup of popcorn and per ounce of soda
The number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let the number of calories per cup of popcorn be x and the number of calories per ounce of soda be y.
Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories.
3x+6y=162 ------(I)
Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories.
x+11y=182
x=182-11y------(II)
Substitute equation (II) in equation (I), we have
3(182-11y)+6y=162
546-33y+6y=162
546-162-27y=0
384-27y=0
384=27y
y=384/27
y=14
Substitute y=14 in equation (II), we get
x=182-11(14)
x=28
Therefore, the number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.
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"Your question is incomplete, probably the complete question/missing part is:"
Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 182 calories. Determine the number of calories per cup of popcorn and per ounce of soda
What is associative property example?
The example of an associative property is a+(b+c) = (a+b) + c for additional operation and a × (b × c) = (a × b) × c for the multiplication operation. The associative property is used to solve an equation or expression of real numbers.
What are the properties of real numbers?
In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.
The four primary characteristics of real numbers are as follows:
Commutative property
Associative property
Distributive property
Identity property.
Associative property: The associative property is applicable on two arithmetic operations. They are multiplication and addition.
For multiplication operations: a × (b × c) = (a × b) × c
For additional operation: a+(b+c) = (a+b) +
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Can you please help me? I'll mark brainiest. NO LINKS!!!!!!!
Answer:
a
Step-by-step explanation:
plssss help me correct answer gets brainliest
Answer:
the answer would be D because meadian is what in the middle
Find the area of the fairway between two streams on a golf course.
Area =
yd2
Question 2
Explain how the fairway could be separated into figures whose areas you can find using formulas.
You could separate the figure into a trapezoid and a _____
A. Triangle
B. Square
Please do a step by step explanation
Question 1
The area of the fairway between two streams on a golf course cannot be determined without additional details such as the dimensions or measurements of the fairway and the streams.
Question 2
A. Triangle
THE FAIRWAYTo find the area of the fairway, you could separate it into figures whose areas you can find using formulas.
Step 1: Draw a diagram of the fairway, including the two streams and any other relevant features such as bunkers or trees.
Step 2: Divide the fairway into two sections, one on either side of the streams.
Step 3: Measure the width and length of each section of the fairway.
Step 4: Use the formula for the area of a rectangle to find the area of each section. (Area = width x length)
Step 5: Add the areas of the two sections together to find the total area of the fairway between the two streams.
THE TRAPEZOIDThe base of the trapezoid would be the width of the fairway and the width of the stream, and the height would be the distance between the fairway and the stream. The area of a trapezoid is (a+b)h÷2, where a and b are the lengths of the bases and h is the height. The triangle would be formed by the side of the trapezoid that is the distance between the fairway and the stream, and the width of the stream. The area of a triangle is base×height÷2.
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Answers for A B and C?
Answer:
a) 45/2,25=20 km per hour
b) 45 minutes
c) 45/3=15 km per hour
David paid $1.25 per drink and purchased 6 drinks. Use the drop down menus to write an equation for the price, cc , of all the drinks.
Answer:
Where d = number of drinks
c = 1.25d
c = $7.5
Step-by-step explanation:
David paid $1.25 per drink and purchased 6 drinks. Use the drop down menus to write an equation for the price, cc , of all the drinks.
c = Cost of all drinks is expressed by the equation
c = $1.25 × d
Where d = number of drinks
c = 1.25d
From the questy
d = 6 drinks
Hence,
c = 1.25 × 6
c = $7.50