Answer:
Summary answers in attached image
Step-by-step explanation:
Unit rate = Cost/weight
The lower the unit rate the better the value
All numbers rounded to nearest cent
Oranges Unit Rates:
2lb bag : $3/2lb = $1.50 per lb
3lb bag: $4.75/3lb = $1.58 per lb
2lb bag has lower unit rate hence better value
Drinks unit rates
16oz bottle: $0.89/16 = $0.06 per oz
128oz bottle: $4.50/128 = $0.04 per oz
128oz bottle of milk is a better value
Veggies unit rates
15oz can: $1.25/15 = $0.08 per oz
28oz can: $2.00/28 = $0.07 per oz
28oz can has better value
Cornflakes unit rates
17oz box: $2.98/17 = $0.18 per oz
21oz box: $3.50/21 = $0.17 per oz
21oz box has better value
Chips unit rates:
10oz bag: $2.50/10 = $0.25 per oz
14oz bag: $3.65/14 = $0.26 per oz
10oz bag has better value
In the figure shown,trapezoid RSTU has vertices R(1,3),S(4,3),T(3,1),and U(2,1).
Draw the image RSTU after a dilation with a scale factor of 2,followed by a translation of 2 units down.Label the vertices EFGH
Answer:
To perform a dilation with a scale factor of 2, we multiply the x and y coordinates of each vertex by 2.
R(1,3) becomes R'(2,6)
S(4,3) becomes S'(8,6)
T(3,1) becomes T'(6,2)
U(2,1) becomes U'(4,2)
To perform a translation of 2 units down, we subtract 2 from the y-coordinates of each vertex.
R'(2,6) becomes E(2,4)
S'(8,6) becomes F(8,4)
T'(6,2) becomes G(6,0)
U'(4,2) becomes H(4,0)
So, the image of trapezoid RSTU after a dilation with a scale factor of 2, followed by a translation of 2 units down is trapezoid EFGH, with vertices E(2,4), F(8,4), G(6,0), and H(4,0).
What are the dimensions of a rectangle if the area is 103ft²
The dimensions of the rectangle are 25 by 4.12 feet
How to determine the dimensions of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Rectangle area = 103 square feet
The area of a rectangle is calculated as
Area = Length * Width
Assume the length is 25
So, we have
Area = 25 * Width
Substitute the known values in the above equation, so, we have the following representation
25 * Width = 103
Divide both sides by 25
Width = 4.12
Hence, the dimensions are 25 by 4.12 feet
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Place parentheses and brackets in the expression below so that it equals 18
2³ x 4/2 +2
The value of the equation A = ( 2³ x 4 ) / 2 + 2 = 18
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A = 18
Substituting the values in the equation , we get
A = ( 2³ x 4 ) / 2 + 2 be equation (1)
On simplifying the equation , we get
2³ = 8
A = ( 8 x 4 ) / 2 + 2
A = 32/2 + 2
A = 16 + 2
The value of A = 18
Therefore , the value of A = 18
Hence , the equation is A = ( 2³ x 4 ) / 2 + 2
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Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend
the same number of rocks (and kept the same number of rocks for himself), how
many rocks did each person get? Use labeled sketches, numbers, or words to solve
this problem. Show all your work.
The number of rocks that each friend will get will be 10 rocks.
How to illustrate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
In this case, Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend the same number of rocks, the rocks that each friend will get will be:
= 42 / 4
= 10.5
Each person gets 10 rocks
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I’ll give BRAINLIEST if correct
Answer:
I think ifs y<5 I did this question last year but if not I'm sorry I tried sorry if I'm late
Answer:
x <= 5
Step-by-step explanation:
1st step: Observe the line
The line drawn is vertical.
Hence, it must be in the form x = k , where k is a constant.
2nd step: The line passes through the coordinate (5, 0) along the x axis.
Hence, k is this case is 5.
The shaded region of the graph includes values of x lesser than or equal to 5. (left part of the graph)
Hence, the inequality satisfied by the shaded region is x <= 5. (y can be of any value)
The data set below shows a city's high temperature for 11 days in degrees Fahrenheit. 56,60,60,60,62,64,64,66,66,90,95. Which is the most reasonable measure of central tendency for the data set?
The measure of central tendency of the data set that has a mode of 60, and median of 64 is the mean, 67.[tex]\overline{54}[/tex]
What is a measure of central tendency?A measure of central tendency is a descriptive statistics that describes the location of the center of a set of data.
Measure of central tendencies includes the mean, the mode, and the median.
The mean is the average value of the data set
The mode is the value of the most frequent data of the data set
The median is the value at the middle of the dataset, when the data is arranged in order of their increasing values.
The values in the data set are;
56, 60, 60, 60, 62, 64, 64, 66, 66, 90, 95
The mean of the data = (56 + 60 + 60 + 60 + 62 + 64 + 64 + 66 + 66 + 90 + 95) ÷ 11 ≈ 67.[tex]\overline{54}[/tex]
The mode of the data = 60
The median of the data = 64
The value of the measure of central tendency that most accurately describes the set of data is 67.[tex]\overline{54}[/tex], which is the mean.
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Which number sentence shows one way to find the sum of 4 and 5?
4 +4+5 = 13
4 + 5 +5 = 14
4 + 4 +4 = 12
4+4+1=9
The number sentence 4 + 4 + 1 = 9 shows one way to find the sum of 4 and 5.
What is sum of numbers?
By adding the digits of a number, we can find the sum of digits. To determine the digit sum, we can disregard the place values of the digits. For instance, 1 + 8 + 5 or 14 is the digit sum of 185.
We have to find Which number sentence shows one way to find the sum of 4 and 5.
Since, the sum of 4 and 5 equal to 9.
4 + 4 + 1 = 4 + 5
Given:
No. 1 - 4
No. 2 - 5
way 1. 4 + 5 = 9
2. 4 + 4 + 1 = 9
3. 4 + 3 + 1 + 1 = 9
4. 4 + 2 + 1 + 1 + 1 = 9
5. 4 + 1 + 1 + 1 + 1 + 1 = 9
Hence, the last option 4 + 4 + 1 is correct.
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A local cheese manafature is reducing the size of thier signiture cheese block from 1.25kg to 980g
Work out the percentage decrease?
Answer:
27.551%
Step-by-step explanation:
based on the given conditions ,formulate:
(1000x1.25-980)divide by 980
calculate the product or quotient :
1250 - 980 over 980 calculate the sum which would be 270 over 980
we gon cross out the common factor 27 over 98
rewrite the fraction as a decimal = 0.27551
multiply a number to both the numeration and denominator : 0.27551 x 100 over 100
now write as a single fraction 0.27551 x 100 / 100
calculate the product = 27.551 over 100
rewrite the fraction with denominator equals 100 to a presantage = 27.551
Select the correct answer.
You are a delivery driver for an online retail company. The table shows your statistics for total, successful, and missed shipments.
Day Total Shipments Successful Shipments Missed Shipments
1 58 51 7
2 79 72 7
3 82 80 2
4 64 58 8
Which day in the table has incorrect information?
A.
A math error was made when computing the total shipments for day 4.
B.
The missed shipment value for day 4 was accidentally copied from day 1.
C.
The missed shipment value for day 1 was accidentally copied from day 4.
D.
A math error was made when computing the total shipments for day 1.
Answer:
A.
A math error was made when computing the total shipments for day 4.
Richard buy a pizza that cost $5.20 plus 5% tax what is the total cost
Answer:
$5.46
Step-by-step explanation:
To calculate tax, you multiply 5.20 by 1.05
You multiply by 1.05 because this represents an increase in price
This equals 5.46 dollars
Find A given that (3, 1, -1) || (A, -4, 4)
Answer: A=-12
Step-by-step explanation:
-4/1 is -4
4/-1 is also -4
Then multiply 3 by -4 to get -12
I need yall help with this
Part A: The weekly gross pay with overtime above 40 hours is as follows:
1. $336.602. $574.403. $605.6254. $757.10.Part B: The gross pay per pay period is as follows:
5. $515.486. $4,083.337. $2,049.158. $1,352.08.What is the gross pay?Gross pay refers to the total earnings before taxable deductions and taxes are removed.
The gross pay per week entails a total paycheck of 52 since there are approximately 52 weeks in a year.
There are 12 months in a year and 26 biweekly payments annually.
Semimonthly payments are made on two set dates in a month, which translates to 24 payments annually.
PART A: Weekly Gross Pay:
1) Hourly rate = $9.90
Total hours worked = 34
Gross pay = $336.60 ($9.90 x 34)
2) Hourly rate = $14.36
Total hours worked = 40
Gross pay = $574.40 ($14.36 x 40)
3) Hourly rate = $12.75
Total hours worked = 45
= ($12.75 x 40 + 5 x $12.75 x 1.5)
= ($510 + $95.625)
Gross pay = $605.625
4) Hourly rate = $13.40
Total hours worked = 51
= ($13.40 x 40 + 11 x $13.40 x 1.5)
= ($536 + 221.10)
Gross pay = $757.10
PART B: Gross Pay Per Pay Period:
5. Annual Salary = $26,805
Pay period = weekly
Number of paychecks = 52
Gross pay per week = $515.48 ($26,805/52)
6. Annual Salary = $49,000
Pay period = monthly
Number of paychecks = 12
Gross pay per month = $4,083.33 ($49,000/12)
7. Annual Salary = $53,278
Pay period = biweekly
Number of paychecks = 26 (52/2)
Gross pay per paycheck = $2,049.15 ($53,278/26)
8. Annual Salary = $32,450
Pay period = semimonthly
Number of paychecks = 24 (1st and 15th)
Gross pay per paycheck = $1,352.08 ($32,450/24)
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Can you say this number: 15,130,000,000? (Write it out in words.)
List as many possible ways that you can think of to write this number. (Ex. 15,130 x 1,000,000) What is the shortest way you can think of for writing this number?
Answer:
Word form:
Fifteen billion and one hundred thirty million.
The shortest way of writing this would be:
1,513 + 10 to the seventh power.
Step-by-step explanation:
Hope it helps!
An altitude and a median can be the same segment.
True
False
Answer:True
Step-by-step explanation:
There are 26 children in a class, 16 brown-haired and 10 black-haired. Two students are randomly selected for a stage performance. What is the probability of two brown-haired students being selected?
A: 61.5%
B: 36.9%
C: 35.5%
D: 13.8%
The probability of selecting brown-haired children is 61.5%. The correct option is A.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of samples
Given that there are 26 children in a class, 16 are brown-haired and 10 are black-haired. Two students are randomly selected for a stage performance.
The probability will be calculated as,
Probability = 16 / 26
Probability = 0.615 x 100
Probability = 61.5%
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Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is 7}, and let B = {the second number cube shows an even number}. Are events A and B independent?
They are independent since the sum of the number cubes is 7 B = the second number cube shows an even number.
How to illustrate the information?From the information, Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is 7}, and let B = {the second number cube shows an even number}.
If the occurrence of one event does not change the likelihood that the other event will also occur, two events A and B are said to be independent. The two events are said to be dependent if the occurrence of one event affects the likelihood that the other event will also occur.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Word blanks are:
Blank 1: The Pythagorean Theorem
Blank 2: √91.
Blank 3: a leg
Blank 4: The hypotenuse.
Blank 5: 10.34
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
From the diagram:
To find the length of the diagonal from point A (front/bottom/left) to point G (back/top/right):
You would first use the Pythagorean Theorem on the bottom of the box rectangle to find the diagonal AC = √91
Then use CG as a leg of the triangle ACG, with AG being the hypotenuse.
AG is approximately = 10.34
Word blanks are:
Blank 1: The Pythagorean Theorem
Blank 2: √91.
Blank 3: a leg
Blank 4: The hypotenuse.
Blank 5: 10.34
Therefore, the blank words are given above.
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Question 2 (Multiple Choice Worth 1 points)
(06.02 MC)
Three friends, Nakobe, Mikah, and Ashton, are saving up money to buy microphones for their podcast. The total cost of the microphones is represented by the expression 9 x^2-3 x+4
The friends have already saved the following amounts:
Nakobe x^2
Mikah x-12
Ashton: 3x+4
Which expression represents the amount of money the friends still need to buy the microphones?
8x^2-7 x-4
8x^2-7 x+12
4x^2+5 x+4
x^2+4 x-8
An expression which represents the amount of money the friends still need to buy the microphones include the following: B. 8x² - 7x + 12.
What is a quadratic function?In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).
Generally speaking, the standard form of a quadratic function is given by;
ax² + bx + c = 0
Next, we would determine the total amount of money that has been saved by these three friends, Nakobe, Mikah, and Ashton as follows;
Total amount of money saved = x² + x - 12 + 3x + 4
Total amount of money saved = x² + 4x - 8
Now, we can determine the total amount of money that is still needed for the purchase of the microphones:
Total amount of money remaining = 9x² - 3x + 4 - (x² + 4x - 8)
Total amount of money remaining = 9x² - 3x + 4 - x² - 4x + 8
Total amount of money remaining = 8x² - 7x + 12.
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Answer:
B: 8x² − 7x + 12
GIVING BRAINLY
During our trip, we keep a constant rate of 55 miles per hour traveled. How many hours will it take us to travel 500 miles?
Use coordinates to solve the real-world problems
involving ratio and rates
If u answer the question u get 5 stars and brainly
I Need it before 2:00 pm and 2:30 pm
Answer: 3hr 16min
I hope this answers your Question
Use the distributive property to solve the following problems 40x43. 70x24
Answer:
Read below:
Step-by-step explanation:
To use the distributive property to solve 40x43, you can rewrite the expression as (40)(43) and then distribute the 40 to get:
40 * 43 = 40 * (40 + 3) = 40 * 40 + 40 * 3 = 1600 + 120 = 1720
To use the distributive property to solve 70x24, you can rewrite the expression as (70)(24) and then distribute the 70 to get:
70 * 24 = 70 * (20 + 4) = 70 * 20 + 70 * 4 = 1400 + 280 = 1680
An art project has an area of 63.6 square inches what is the width in inches of the project
The art project with an area of 63.6 square inches and length of 12 inches, have a width of is 5.3 inches.
How to solve an equationAn equation is an expression that shows the relationship between two or more numbers and variables.
Area is the amount of space occupied by a two dimensional shape or object.
Let x represent the width and y represent the length
Let us assume that the art project is a rectangle with a length of 12 inches, since the area is 63.6 square inches, hence:
Area = length * width
63.6 = xy
63.6 = x(12)
x = 5.3 in
The width of the project is 5.3 inches.
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w² +3 +16 ÷(2x) please help
Answer:
What grade is this ? I can help you
the equation of a line is y+4=6x+13
what is the value of y at the point where the line crosses the y-axis?
y = 9
The y-axis is the vertical axis in a coordinate system, and a point on the y-axis has an x-coordinate of 0. The equation of a line is a mathematical expression that describes the relationship between the x- and y-coordinates of points on the line.
To find the value of y at the point where the line crosses the y-axis, we need to substitute x=0 into the equation of the line and solve for y. This will give us the value of y at the point where the line intersects the y-axis.
For the given equation y+4=6x+13, substituting x=0 gives us:
y + 4 = 6*0 + 13
y + 4 = 13
y = 9
Therefore, the value of y at the point where the line crosses the y-axis is 9. This means that the point where the line intersects the y-axis has coordinates (0,9).
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a taguchi loss function implies that the loss to company as the process output varies on either side of the process mean remains constant regardless of how far the output varies from this mean.T/F
The given statement "A Taguchi loss function suggests that regardless of how much the output deviates from the process mean on either side, the loss to the company remains constant" is TRUE.
What is the Taguchi loss function?The Japanese business statistician Genichi Taguchi created the Taguchi loss function, a graphical representation of loss, to describe a phenomenon that affects the value of a company's products.
It clarified the idea that quality does not suddenly decline when, for example, a machinist exceeds a strict plan tolerance, which was praised by Dr. W. Edwards Deming, the business guru of the e American quality movement in the 1980s.
Instead, the value of the "loss" grows over time as the deviation from the anticipated condition rises.
This was seen as a milestone in describing the quality and contributed to the growth of the continuous improvement movement.
According to the Taguchi loss function, as process variation drifts further and further from the mean, the loss to the organization grows.
Therefore, the given statement "A Taguchi loss function suggests that regardless of how much the output deviates from the process mean on either side, the loss to the company remains constant" is TRUE.
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A city requires that smoke detectors be installed in all houses. There is concern that too many houses are still without detectors, so a costly inspection program is being considered. Let p be the proportion of all houses that have a detector. A random sample of 25 houses is selected. If the sample strongly suggests that p < 0.80 (less than 80% have detectors), as opposed to p ≥ 0.80, the program will be implemented. Let x be the number of residences among the 25 that have a detector, and consider the following decision rule: Reject the claim that
p ≥ 0.8
and implement the program if x ≤ 17. (Round your answers to three decimal places.)
The probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 17) = 0.10912
How to solve binomial probability distribution?A binomial experiment is defined as one in which the probability of success doesn't change with every run or number of trials.
The outcome of each trial of a binomial experiment is independent of one another.
Binomial distribution function is represented by the formula;
P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where;
p is the true proportion.
n is sample size
x is number of successes
a) We want to find the probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 17)
We are given that the claim is that 80% of houses have smoke detectors is rejected if in a sample of 25 houses, not more than 15 houses have smoke detectors.
Thus;
Sample size; n = 25
Number of successes required = 17
Probability of success; p = 0.80
Thus;
P(X ≤ 17) = Sum of probabilities from P(X = 0) to P(X = 17)
Using online binomial probability calculator gives us;
P(X ≤ 17) = 0.10912
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if 24 is not an even number, then 6 is divisible by 3
pls solveee (correct answers only and explaintion)
5 feet to 36 inches what is the ratio
The ratio would be 5:3
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.
5 feet to 36 inches
converting feet to inches
1 foot = 12 inches
Therefore, 5 feet = 5x12
5 feet = 60 inches
60 inches : 36 inches
Finding the lowest possible terms
5 inches : 3 inches
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Please help I need help
Answer:
2000/17 = 117 11/17 miles
Step-by-step explanation:
You want to know the number of miles of a 250-mile trip that are not downhill if 9/17 of the trip is downhill.
FractionThe fraction that is not downhill is the difference between the fraction representing the whole trip, and the fraction that is downhill:
[tex]\dfrac{17}{17}-\dfrac{9}{17}=\dfrac{17-9}{17}=\dfrac{8}{17}[/tex]
MilesThat fraction of the total trip miles is ...
(8/17) · (250 mi) = (8·250)/17 mi = 2000/17 mi = 117 11/17 mi
The number of miles not downhill was 2000/17 or 117 11/17 miles.
If 40% of a number is 56, what was the original number?