The equation 7(2W + 3) = 14W + 20 has no solution because it produces a false statement when you distribute
14 W + 21 = 14 W + 20
because 21 ≠ 20.
To make it have infinitely many solutions, you need to make that statement always true. You can do this by changing the "20" on the right side to be "21":
7(2W + 3) = 14W + 21
This equation is always true, no matter what value of W you pick.
1) The U.S. per capita consumption of beef decreased from 67.8 pounds in 2000 to 55.4 pounds in
2016. Find the relative difference.
Answer:
20.2%
Step-by-step explanation:
he relative difference between two values can be calculated using the formula:
Relative Difference = (|V1 - V2| / ((V1 + V2) / 2)) * 100%
where V1 is the first value and V2 is the second value.
For the U.S. per capita consumption of beef, we have V1 = 67.8 pounds in 2000 and V2 = 55.4 pounds in 2016. Plugging these values into the formula, we get:
Relative Difference = (|67.8 - 55.4| / ((67.8 + 55.4) / 2)) * 100%
Relative Difference = (12.4 / 61.6) * 100%
Relative Difference = 0.202 * 100%
Relative Difference = 20.2%
So the relative difference between the U.S. per capita consumption of beef in 2000 and 2016 is 20.2%.
PARALLEL PERPENDICULAR OR NEITHER
Answer: Neither (look at the image for the solution)
Step-by-step explanation:
Answer: parallel
Step-by-step explanation:
look at the lines and u can see two lines so parallel
When multiplying 32 and 8, _____.
when we multiply 8 x 2, we will add drop down the 6
when we multiply 8 by 3, we will add 1
both of these are correct
neither of these are correct
Both of these are correct. When multiplying 32 and 8, we should follow these steps:
Multiply 8 by 2, which is the last digit of 32. This gives us 16.Drop down the 6 and carry the 1.Multiply 8 by 3, which is the second to last digit of 32. This gives us 24.Add the 1 that we carried from the previous step to 24, which gives us 25.Drop down the 5 and carry the 2.Since there are no more digits in 32 to multiply, we can drop down the 2 that we carried.The final answer is 256.So, the correct answer is 256.
Here is the multiplication shown step-by-step:
32
8
16 --> drop down 6 and carry the 1
1
32
8
6
24- --> drop down the 4 and add 1; carry the 2
56
2
32
8
6
5 -
2 - - --> drop down the 2 since no more digits available to multiply
256 --> the answer
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I poured a bowl of cereal in a Tupperware container with the following dimensions (L=9 in, w=6 in, h=3). I want no more than a density of 0.3 cheerios per sq in in my "bowl." How many cheerios can I pour into the bowl. Round your answer to the nearest whole number.
we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.
What is rectangle ?
Rectangle can be defined in which the opposite sides are equal and area of rectangle is product of length and breadth.
Given ,
I poured a bowl of cereal in a Tupperware container with the following dimensions (L=9 in, w=6 in, h=3). I want no more than a density of 0.3 cheerios per sq in in my "bowl."
We can start by calculating the surface area of the Tupperware container, which is equal to 2 times the sum of the area of the base and the area of the two rectangular sides:
Area of base = Length * Width = 9 in * 6 in = 54 in²
Area of two rectangular sides = Height * Length = 3 in * 9 in = 27 in²
Surface area = 2 * (54 in² + 27 in²) = 2 * 81 in² = 162 in²
Next, we can find the maximum number of cheerios that can be poured into the bowl by dividing the surface area by the maximum allowed density of 0.3 cheerios per square inch:
Maximum number of cheerios = Surface area / Maximum allowed density = 162 in² / 0.3 cheerios/in² = 541 cheerios
Hence, we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.
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Need help with this question urgent please
Answer:
B and D
Step-by-step explanation:
the correct answer is : B and D
A TV at £800 plus VAT at 20%
What is the total cost of the TV
Answer:
it will be £960
Step-by-step explanation:
first £800×20/100
simplify £8×20
£160= VAT
Total cost=VAT+ normal cost
£160+£800
=£960
Can you simplify the integer expression and type the correct code? Please remember to type in ALL CAPS with no spaces. *
Answers of integer expression is -4, -10, 14 and -11.
What is Number system?A number system is defined as a system of writing to express numbers.
The first expression is -5+8-7
-5+8-7
Add the minus terms and then add with positive eight.
-12+8
The answer of integer expression is -4
2. The second expression is -12-7+9
-19+9
When minus nineteen and plus nine are added we get minus ten.
The answer of integer expression is -10
3. 9-13+18
Add the two positive integers and then use subtraction
27-13
14
The answer of integer expression is 14
4. 7-15-3
Add the negative values and add the positive seven.
7-18
-11
The answer of integer expression is -11
Hence, answer of integer expression is -4, -10, 14 and -11.
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Answer:
HECD
Step-by-step explanation:
1. -5 + 8 - 7 = -4: H
2. -12 - 7 + 9 = -10: E
3. 9 - 13 + 8 = 4: C
4. 7 - 15 - 3 = -11: D
Code: HECD
Find the product of 3√2 and 4√/18 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
Result:
√
The result i
because it
integers and its decimal expansion
be written as the ratio of two
The angle between 0 and 2π in radians that is coterminal with the angle 55/8π in radians is
The angle between 0 and 2π in radians which is Coterminal with angle 55π/8 in radians is 39π/8 radians .
We have to find coterminal angle between 0 and 2π in radians with an angle given in radians,
The angle is "55π/8" in radians,
On simplifying ,
we get ;
⇒ 55π/8 = (55/8) × π
To find an angle coterminal with this angle between 0 and 2π, we subtract or add multiples of 2π until we get an angle in range of 0 and 2π.
So , we convert 2π to same units as our angle :
⇒ 2π = 16π/8 ;
Next, we subtract the multiples of 16π/8 until we get an angle between 0 and 2π.
⇒ (55/8)π - 16π/8 = (55-16)π/8 = 39π/8 ;
This angle is between 0 and 2π, so it is coterminal with the angle 55π/8.
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The given question is incomplete , the complete question is
The angle between 0 and 2π in radians that is coterminal with the angle 55π/8 in radians is ?
How do I factor this polynomial?
2r³t8r²-90r
Answer: it is already factored
Step-by-step explanation:
Write an equation of the line passing through point P(0,
1) that is parallel to the line y =
2x +3.
L
y =
Answer:
y = 2x + 1
Step-by-step explanation:
Parallel lines have the same slope. The slope in the equation y = 2x + 3 is 2. The slope of the parallel equation will be 2 also.
We will use the slope, and the point (0,1) to help us write the new equation.
The y intercept of the parallel line is 1. When x = 0, y is where the line will cross the y axis. So the y intercept is 1
The slope (m) is 2 and the y-intercept (b) is 1.
y = mx + b Substitute 2 for m and 1 for b.
y = 2x + 1
2) Practice: Organizing Information
Fill in the blanks to complete the list.
Properties of Slope
• A steep line has a bigger ____________ than a flat line.
• Equally steep lines have ____________ slopes.
• Lines that go up from left to right have ______________ slopes.
• Lines that go down from left to right have ______________ slopes.
The one word that fits in each case will be slope, equal, decreasing, and increasing, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A steep line has a bigger slope than a flat line.
Equally steep lines have equal slopes.
Lines that go up from left to right have decreasing slopes.
Lines that go down from left to right have increasing slopes.
The one word that fits in each case will be slope, equal, decreasing, and increasing, respectively.
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What type of problem is "What number multiplied by the expression of 5 x 10^3 is equivalent to the expression 5 x 10^6?"
Not asking for a solution, just wondering what kind of problem it is
We can solve steps in expressions with many operations in accordance with the order of operations. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. The fourth rule is that we always add and subtract from left to right.
Use the acronyms PEMDAS or BODMAS to determine the sequence of operations. PEMDAS: Parentheses ⇒ (3+4)
Exponents ⇒ 3², Multiply ⇒ 8*4, Divide ⇒ 12÷4, Add ⇒ 6+6, Subtract ⇒ 10-5. BODMAS: Brackets, Order, Divide, Multiply, Add, Subtract .A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Using PEMDAS, we can retain the following order: Exponents, parentheses, addition, subtraction, multiplication, and division (from left to right) Parentheses, exponents, multiplication, division, addition, and subtraction are the orders in which operations must be performed, according to the order of operations. Both BODMAS and PEMDAS are valid and in use in various parts of the globe.
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3. Kate likes to run a route in town
that forms the triangle shown
below. How many times would she
need to run this route to complete
12 miles?
0.7 mi
1.4 mi
0.9 mi
The number of rounds that Kate has to run along the perimeter of town to complete 12 miles is 4 rounds.
What is the perimeter of a triangle?
Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape. The perimeter of any polygon is equal to the sum of its side lengths. Considering a triangle, the sum of the three sides equals the perimeter.
Given the town is the shape of a triangle.
The distance covered after running one round around town is equal to the perimeter of the triangle.
The sides of the triangle are 0.7 miles, 1.4 miles and 0.9 miles.
Perimeter = 0.7+0.9+1.4 = 3 miles.
The distance covered in one round = 3 miles.
So the number of rounds required to complete 12 miles = 1/3 * 12 = 4 rounds.
Therefore the number of rounds that Kate has to run along the perimeter of town to complete 12 miles is 4 rounds.
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solve the equation 4x+2y-8=0
Answer:
X=0
Y=4
Step-by-step explanation:
4X+2y-8=0
2y=4x+8
y=2x+4
Substituting y in the equation
4x+2(2x+4)-8=0
4x+4x+8-8=0
8x=0
X=0
Substituting in equation y=2x+4
y=2(0)+4
Y=4
Watch help video
What is the greatest common factor of 21, 14, and 7
Answer:
Submit Answer
The greatest common factor ( GCF ) of 21 , 14 and 7 is given by A = 7
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the GCF of the numbers be represented as A
Now , the equation will be
Let the first number be p = 21
Let the second number be q = 14
Let the third number be r = 7
Now , the factors of 21 = 1 , 2 , 3 , 7 and 21
The factors of 14 = 1 , 2 , 7 and 14
The factors of 7 = 1 and 7
So , the greatest common factors of 21 , 14 and 7 is 7
Hence , the GCF is 7
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You are an Insurance representative for a large company in the Midwest. You receive
a commission based on the total sales of all the Insurance salespeople in your group.
Your commission is 2% of the first $500,000 of sales, 4% of the next $500,000, and
5% of all sales over $1,000,000. What is your commission for a month in which your
sales people sold $1,250,000 in insurance policies?
Your commission for a month in which your sales people sold $1,250,000 in insurance policies is $62500
We know that in order to determine the percentage, we divide the value by the total value and then multiply the resultant by 100.
The formula for the percentage would be,
percent = (number of parts / total number of possible parts) × 100%
Here, for a particular month your sales people sold $1,250,000 in insurance policies.
As we can see that your commission would be 5% of all sales over $1,000,000
Let us assume that your commission for that month be x dollars.
Since 1,250,000 > 1,000,000
We need to find 5 percent of $1,250,000
i.e., x = 5 percent of $1,250,000
Using percentage formula,
x = 1,250,000 × (5/100)
x = 62500
Therefore, your commission will be 62500 dollars.
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The product of m and n divided by three times their different
The expression "The product of m and n divided by three times their difference" can be written as (m * n) / (3 * (m - n)).
Let's break this down:
"The product of m and n" means you multiply m by n, which is written as "m * n".
"Divided by" means you divide the product by something else. In this case, we're dividing by "three times their difference".
"Their difference" refers to the difference between m and n, which is written as "m - n".
"Three times their difference" means you multiply the difference by 3, which is written as "3 * (m - n)".
So, putting it all together, we have:
(m * n) / (3 * (m - n))
This expression represents the product of m and n, divided by three times their difference.
It's important to note that this expression is undefined when m = n, because in that case, the denominator (3 * (m - n)) would be equal to zero. Division by zero is undefined, so we cannot evaluate the expression when m = n.
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What is 2 thirds of 42
Answer:
Step-by-step explanation:
42*2/3=84/3=28
Find the value of x to the nearest tenth.
The side x = 9.4 approximately to nearest tenth using the cosine rule.
What is the cosine rule?In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
Considering the given triangle, side x is calculated with cosine rule as follows;
a² = b² + c² - 2(b)(c)cosA
x² = 8² + 15² - 2(8)(15)cos33°
x² = 64 + 225 - 240(0.8387)
x² = 289 - 201.2809
x² = 87.7191
x = 9.3658 {take square root of both sides}
With proper application of the cosine rule, we can conclude the value of the side x of the triangle is approximately 9.37 to the nearest tenth.
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two cities are 1020 miles apart. Two trains simultaneously left these cities heading toward one another. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours, the trains had not met yet and were 170 miles apart. Find the speed of the trains.
The speed of both the trains would be 400 mph and 450 mph respectively.
What is the formula to calculate the distance travelled?The formula to calculate the distance travelled is -
Distance = Speed x Time
Given is that two cities are 1020 miles apart. Two trains simultaneously left these cities heading toward one another. The speed of one train was 10 mph greater than the speed of the other one. In 5 hours, the trains had not met yet and were 170 miles apart.
Let the speed of one train be {x} mph. Then, the speed of the other train would be {x + 10} mph.
Distance covered by both the trains would be -
train { 1 } = 5x ... { 1 }
train { 2 } = 5(x + 10) ... { 2 }
Now, we can write -
1020 - {5x + 5(x + 10)} = 170
1020 - 170 = 10x + 50
10x = 800
x = 80
Speed of train { 1 } = 400 mph
Speed of train { 2 } = 450 mph
Therefore, the speed of both the trains would be 400 mph and 450 mph respectively.
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when a new baby is born to the johnsons the family decides to invest $5000 in an account that earns 7% interest
The amount in the college fund is $16,899.66
How to determine the amount in the college fund?In order to determine the amount in the college fund, we need to find the future value of the money.
The formula for the future value of money is:
FV = PV * (1 + r)^t
where:
FV = future value
PV = present value (initial amount)
r = interest rate (as a decimal)
t = time (in years)
PV = $5000, r = 7% = 0.07, t = 18
FV = PV * (1 + r)^t
FV = 5000 * (1 + 0.07)¹⁸
FV = 5000 * (1.07)¹⁸
FV = $16,899.66
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Complete Question
When a new baby is born to the Johnsons, the family decides to invest $5000 in an account that earns 7% interest as a way to start the baby's college fund. If they do not touch that investment for 18 years, how much will there be in the college fund?
at most, how many references in this line could be null and might cause the nullpointerexception to be thrown?
None. There are no references in this line. This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.
This line does not contain any references, so no references can be null. Therefore, no NullPointerException can be thrown.
This line of code does not contain any references at all. Therefore, it is not possible for any references to be null, and it is impossible for a NullPointerException to be thrown in response to this line. NullPointerExceptions are only thrown when a program attempts to use a reference that is null, but this line does not contain any references, so such an exception is not possible. Consequently, no references can be null in this line and no NullPointerException can be thrown.
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Given the following frequency table of preferred weekend activities
a. Complete the table and find the value of x.
X =
Movies Theme Totals
Parks
379
Male
X
Female 180
Totals
575
1000
Here is the completed table:
Movies Theme park Totals
Males 245 379 624
Females 180 196 376
Totals 425 575 1000
How to complete the table?Total number of people that watch movies = totals - total number of people that go to theme parks
1000 - 575 = 425
Total number of males that watch movies = total number of people that watch movies - number of males that go to the theme park
425 - 180 = 245
Total number of males = Total number of males that watch movies + males that go to the theme park
245 + 379 = 624
Total number of females = totals - total number of males
1000 - 624 = 376
Total number of females that go to theme parks = total number of females - total number of females that go to the theme park
376 - 180= 196
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Evaluate each expression using substitution and order of operations. Show your thinking.
(y + 2)² at y = -4
Answer:
(y+2)^2
= y^2 + 4y + 4
now plug in -4 in y's
=(-4)^2 + 4(-4) + 4
=8-16+4
=-4
Find the value of a, the value of b and the value of c.
The value of c in the given question is 77.5.
What is value?When something can be seen as a gauge of how important something is to a person or organization, it is frequently seen as a reflection of one's worldview and can help to shape attitudes, decisions, and behaviors. Value is a subjective concept that refers to the word of importance that an individual group of people places on something. It is frequently associated with fundamental beliefs and standards that are accepted by society. Depending on the context of the commands, believe is a relative concept.
The Triangle Angle Sum Theorem, which asserts that the sum of the angles in a triangle equals 180°, must be applied in order to find x. Segment AD cuts angle BAC in half, hence the two angles must be equivalent. In order to solve for x, we can build up the following equation:
180° = angle BAC = (x + 7) + (x + 18)
We can solve this equation by combining like terms and isolating the variable x.
180° = 2c + 25
2c = 155
C = 77.5
Therefore, the value of C is 77.5.
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Question 5(Multiple Choice Worth 2 points) (Linear Functions MC) Which of the following tables represents a linear function? x −2 −1 0 1 2 y 4 1 −2 −5 −8 x −2 −1 0 1 2 y 4 1 0 1 4 x 2 2 0 2 2 y −2 −1 0 1 2 x 0 1 2 3 4 y −2 1 0 1 −2
50 POINTS HURRY UP!!!!
Answer:
The table that represents a linear function is:
x 0 1 2 3 4
y −2 1 0 1 −2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step-by-step explanation: The linear function is a function that has a straight line when plotted on a
graph.
The correct option;
The table of ordered pairs that represent a linear function is the option; x/y -8/-7 0/0 8/7 16/14
Reasons why the above selection is correct:
Given;
The given data can be presented as follows;
x/y -8/22 0/1 8/22 16/102
x/y -8/-7 0/1 8/9 8/2
x/y -8/-7 0/0 8/7 16/14
x/y -8/-7 0/1 8/5 16/4
Representation of the options in tabular form;
In a tabular format, we have;
Characteristic of linear function;
In a linear function, when the x-values have a constant rate of increase the
the first difference in the y-values is constant.
Selection of the table representing a linear function;
The option that has a constant first difference along with a continuous rate of
increase in the x-value is the option with the following table;
, which is the option x/y -8/-7 0/0 8/7 16/14
question 1
determine the measure of FA
Answer:
arc FA = 150°
Step-by-step explanation:
the central angle of a circle is equal to the measure of the arc that subtends it.
given BF is the diameter of the circle , then
∠ FCA + ∠ ACB = 180°
∠ FCA + 30° = 180° ( subtract 30° from both sides )
∠ FCA = 150°
then
arc FA = ∠ FCA = 150°
my brotherdid homework from 7.30 p.m to 8.52 p.m while i did mine from 8.40 to 10.00 p.m who took shorter time to complete his homework and by how long
Answer:
you took shorter time to complete by 2minutes
Step-by-step explanation:
30 minutes till 8.00 pm
plus
52 minutes
so
30+52=82 minutes
my homeworks
20 minutes till 9.00 pm
plus 1 hour or 60 minutes till 10.00 pm
20+60=80 minutes
80<82
so I took shorter time to complete the homework
suppose that your boss must choose five employees in your office to attend a conference in jamaica. because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. what is the probability that you, diana, kyle, nancy, and arthur are chosen? enter a fraction or round your answer to 4 decimal places, if necessary.
There are 15 employees in the office and 5 need to be chosen, so there are a total of (15 choose 5) possible ways to select the employees. This can be calculated using the formula for combinations:
(15 choose 5) = 15! / (5! * 10!) = 3003
Now, we need to find the number of ways that the specific group of you, Diana, Kyle, Nancy, and Arthur can be chosen. This is simply (5 choose 5), since we want to choose all 5 members of the group.
(5 choose 5) = 5! / (5! * 0!) = 1
Therefore, the probability of this specific group being chosen is:
(5 choose 5) / (15 choose 5) = 1 / 3003 ≈ 0.0003
So the probability of you, Diana, Kyle, Nancy, and Arthur being chosen is very low, at approximately 0.0003 or 3 in 10,000. This is because there are many other possible groups of 5 employees that could be chosen from the pool of 15, and all of these groups have an equal chance of being selected.
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