Jacob:
$32.90 ÷ 7 = $4.70 per shirt.
$4.70 per shirt.
Jacob paid $4.70 per shirt. (32.90 ÷ 7)
Kyle:
$60 ÷ 12 = $5 per shirt.
$5 per shirt
Kyle paid $5 per shirt (60 ÷ 12)
Kyle says that he paid less per shirt than Jacob. Is Kyle correct? Explain your answer.
Kyle is incorrect. $5 is more than $4.70.
$5 - $4.70 =
0.30 cent difference.
4^3 + (-2) ^4 = ?
evaluate?
Answer:
80
Step-by-step explanation:
PEMDAS- do exponents first here, simplifying that to 64+16, add those to get 80.
A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?
fraction 3 and 3 over 5 cubic feet
fraction 4 and 1 over 5 cubic feet
fraction 5 and 2 over 5 cubic feet
fraction 7 and 1 over 5 cubic feet
Answer:
fraction 3 and 3 over 5 cubic feetStep-by-step explanation:
Volume formula V= lwh
Given
l = 2 2/3 = 8/3 ftw = 1 1/8 = 9/8 fth = 1 1/5 = 6/5 ftVolume is:
V = 8/3*9/8*6/5 =18/5 = 3 3/5 ft³Correct option is A
Answer:
fraction 3 and 3 over 5 cubic feet
Step-by-step explanation
An orange drink is made using one part juice to four parts water. What proportion of the drink is juice? Give your answer as a fraction, decimal or percentage. A woman spends 675 on fond nd cor
The proportion of the drink that is juice is one part juice to four parts water. The proportion of the drink that is juice is 1:5. This can be written in fraction as 1/5 , in decimal as 0.25 and in percentage as 25%.
What is a ratio?A ratio is a mathematical comparison of two or more values. It is typically written as a fraction, with the values being separated by a colon (e.g. 3:4). The values in a ratio can represent any type of quantity, such as length, weight, or time.
How is a proportion different from a ratio?A proportion is a statement that two ratios are equal. For example, if the ratio of boys to girls in a class is 4:5, and the ratio of boys to the total number of students is 12:20, then the two ratios are in proportion. In contrast, a ratio is simply a comparison of two or more values without any equality statement.
An orange drink is made using one part juice to four parts water. The proportion of the drink that is juice is 1/5.The proportion of the drink that is juice is 1/5, which can be expressed as a decimal as 0.2 (1/5 = 0.2) or as a percentage as 20% (0.2 x 100 = 20).
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Will brain list, pls help. Evaluate x³-2x²+3x-7/x-1
The simplified expression is (x³ - 5x² + 10x - 13)/(x-1)
Start by factoring the numerator (x³-2x²+3x-7) if possible. In this case, it cannot be factored further.
Substitute x-1 for x in the expression:
[(x-1)³-2(x-1)²+3(x-1)-7]/(x-1)
Simplify the numerator by expanding the terms. Recall that (a-b)³ = a³ - 3a²b + 3ab² - b³ and (a-b)² = a² - 2ab + b².
(x³-3x²+3x-1 - 2(x²-2x+1) + 3(x-1) - 7)/(x-1)
Continue simplifying:
(x³-3x²+3x-1 - 2x² + 4x - 2 + 3x - 3 - 7)/(x-1)
Combine like terms in the numerator:
(x³ - 5x² + 10x - 13)/(x-1)
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A b c or d for Brainiest answer
Which expression is equivalent to r + 0?
The expression that is equivalent to the given expression r + 0 is r
How to determine which expression is equivalentThe expression "r + 0" is equivalent to "r", because any number added to zero is the same as the original number.
This is a fundamental property of addition, called the additive identity property.
To see why this is true, consider the following example:
Suppose we have a number r = 5. Then, "r + 0" means adding zero to the number 5:
r + 0 = 5 + 0
But any number added to zero is the same as the original number:
5 + 0 = 5
Therefore, "r + 0" is equivalent to "r" for any value of r. This is true for all real numbers, not just for the specific example of r = 5.
So, the expression "r + 0" simplifies to "r" and represents the same quantity as the variable "r" alone.
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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
Out of a randomly selected 2550 people from the population, how many of them
would have an IQ higher than 86, to the nearest whole number?
Therefore, about 83 percent of the population would have an IQ score higher than 86.
IQ scores are typically distributed in a bell-shaped or normal distribution. A normal distribution is a continuous probability distribution in which a random variable has an equal probability of taking any value between its minimum and maximum values.IQ scores, like many other phenomena, are generally distributed. The average IQ score for the population is 100, and the standard deviation is 15. This means that the majority of people score between 85 and 115 on IQ tests. However, we may use standard deviation to calculate the proportion of individuals that have an IQ above or below a particular value.The mean IQ score is 100, so any IQ score higher than 100 is considered above average, whereas an IQ score of less than 100 is considered below average. We can utilize the standard deviation to calculate the proportion of individuals who score above or below the mean. Since the standard deviation is 15, we can convert the IQ score of 86 to a z-score to determine how far above the mean it is.Z = (X - μ) / σ.Where,Z = the z-scoreX = the raw scoreμ = the meanσ = the standard deviationIf we put the values in the above formula we get,Z = (86 - 100) / 15Z = -0.93.Therefore, the z-score for an IQ of 86 is -0.93. We can look at the z-score chart to see what proportion of individuals have a z-score less than -0.93.According to the chart, around 17% of people have a z-score less than -0.93. As a result, around 17% of people would have an IQ lower than 86. As a result, the percentage of people who would have an IQ higher than 86 is 100% - 17% = 83% or around 83 people out of 100.For such more question on phenomena
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given tannen's perspective on gender differences in communication, what would you expect to find regarding salary negotiation and gender
Given tannen's perspective on gender differences in communication, Men far more than women negotiate for higher starting salaries because salary is a sign of status. So, correct option is C.
Based on Tannen's perspective on gender differences in communication, it is likely that you would find that men negotiate for higher starting salaries far more than women because salary is a sign of status.
Tannen argues that men are socialized to use language as a way to establish and maintain their status in society, and negotiating for a higher salary is one way for men to assert their status.
Women, on the other hand, are socialized to use language as a way to build and maintain relationships, and negotiating for a higher salary may be perceived as aggressive or confrontational, which goes against societal expectations for women's communication style.
Therefore, option (c) is the most likely answer.
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Complete question is:
Given tannen's perspective on gender differences in communication, what would you expect to find regarding salary negotiation and gender
answer choices:
a. Women negotiate for higher starting salaries far more than men because they wish to prove their worth
b. Men and women negotiate for higher starting salaries about equally
c. Men far more than women negotiate for higher starting salaries because salary is a sign of status
d. None of the above is true
please help me do it please
Answer:
ll
Step-by-step explanation:
bye
If you have 675 cm? of material to make a box with a square bottom and an open top, find the largest possible volume of this box_ base edges = W height h
The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm
Let w = length of the base edge
h = height of the box
A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,
675 cm² = w² + 4wh
4wh = 675 cm² - w²
h = (675 cm² - w²)/4w
The volume of the box is the product of the area of the square base and its height. Hence,
V = w²h
Substitute the expression of h to the equation of volume.
V = w²(675 cm² - w²)/4w
V = (675/4)w - (1/4)w³
To obtain the largest volume possible, the first derivative of the volume should be equal to zero.
V'(w) = 0
V = (675/4)w - (1/4)w³
675/4 - (3/4)w² = 0
Simplify and solve for the value of w.
675/4 - (3/4)w² = 0
(3/4)w² = 675/4
w² = 225
w = 15
length of the base edge = 15 cm
Solve for the value of h.
h = (675 cm² - w²)/4w
h = (675 cm² - (15)²)/4(15)
h = 7.5 cm
height of the box = 7.5 cm
Solve for the volume of the box.
V = w²h
V = (15 cm)²(7.5 cm)
V = 1687.5 cm³
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The diagram shows a square ABCD
M is the midpoint of AB
N is the midpoint of AD
The area of the shaded triangle AMN is 8cm^2
Work out the area of triangle MCN
The area of the triangle, Δ AMN is 8 cm², so the area of the triangle, ΔMCN is 24 cm².
A triangle is one of the most basic geometric figures with 3 sides, 3 angles, and 3 vertices.
The area of a triangle is half of the product of the base and height.
Given that
ABCD is square and M and N are mid-points of lines AB and AD respectively.
Area of triangle, ΔAMN = 8 cm²
\(\dfrac{1}{2} \times AN \times AM = 8\\AN \times AM = 8 \times 2\\AN \times AM = 16\) ...(i)
Since ABCD is square, therefore AB = AD.
Also, as M and N are mid-points of lines AB and AD, so
AN = AM.
Substitute AN = AM in equation (i),
\(AN \times AN = 16\\AN^2 = 16\\AN = \sqrt{16}\\AN = 4\ cm\)
So,
AD = 2 × AN
= 2 × 4
= 8 cm
As ABCD is square,
AB = BC = CD = AD = 8 cm.
Area of the square ABCD = 8² = 64.
Since CD = BC, ND = MB, ∠D = ∠B.
Therefore by SAS property of similarity,
ΔCDN ≅ ΔCBM
Area of the triangle, ΔCDN = Area of the triangle, ΔCBM.
\(= \dfrac{1}{2} \times CB \times BM\\= \dfrac{1}{2} \times 8 \times 4\\\\= 16\ cm^2\)
Area of the triangle, ΔCMN = Area of ABCD - Area of ΔAMN - Area of ΔCDN - Area of ΔCBM
Area of the triangle, ΔCMN = 64 - 8 - 16 - 16
= 24 cm²
Therefore, the area of ΔCMN is 24 cm².
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1+1+1+1+1+(18+18463)+496464+94643448=
Answer:
It guess it should be 95158398
Forty percent of a number is greater than one-half the number decreased by 15. Which inequality can be used to determine the number?A 40x > x /2 - 15B 40x > 2x - 15C 0.40x > x/2 - 15D 0.4x < x/2 - 15
The inequality can be used to determine the number is 0.4x > x/2 - 15
The term inequality means the unequal relationship between the two or more expressions.
Here we have given that Forty percent of a number is greater than one-half the number decreased by 15.
And we need to find the number that is used to determine the inequality.
While we looking into the given question, let us consider x be that unknown number.
Then based on the given statement, we have divide it into two parts.
First, forty percent of the number and it can be written as 40%x or 0.4x.
Next is one-half the number is 1/2 x or x/2
When we combine the whole statement,
Then we get the inequality,
=> 0.4x > x/2 - 15
Therefore option (c) is correct.
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help me pls!!
What is the area of the puddle on the floor when the employees arrive at work at 7 am? Write a composition of functions to help you, and round your answer to the nearest whole number. Explain how you found your answer.
Step-by-step explanation:
the only question I see is : "what is the area of the puddle, when the employees arrive at 7 am ?".
well, in that case, it had rained for 4 hours with the hole in the roof (from 3am to 7am).
4 hours = 4×60 = 240 minutes.
that means the radius of the puddle grew to
240×0.1 = 24 cm
therefore the area of the puddle was
pi×r² = pi×24² = 576pi = 1,809.557368... cm² ≈
≈ 1,810 cm²
“If Teresa’s daughter is my daughter’s mother, what am I to Teresa?”
a) Grandmother
b) Mother
c) Daughter
d) Granddaughter
e) I am Teresa
Answer:
Step-by-step explanation:
grandmother
Answer:
C) Daughter
Step-by-step explanation:
Why is this so hard
I will give brand list
Answer:
5/4
Explanation:
coordinates given (0,0) and (8,10)
How to find unit rate?
use this formula:
(y2-y1)/(x2-x1)
using the formula:
→(10-0)/(8-0)
→ 10/8
→ 5/4
→ 1.25
Answer:
5/4 cm/s
Step-by-step explanation:
The gradient (slope) of the line is equal to the speed of the object.
Gradient = change in y ÷ change in x
Using the two given points (0, 0) and (8, 10):
⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s
Can somebody help with this
Answer:
B
Step-by-step explanation:
Domain is the x value and it is asking your for the coordinates with the same x value.
note that in actual scientific practice, we only select one single sample and therefore we can only see the one corresponding interval, out of the potential thousands that are displayed using the applet. based on what you've learned from the simulation (the applet), give the best interpretation of a single 95% confidence interval as follows: we are [ select ] confident that our interval is one that [ select ] contain [ select ] .
In scientific practice, we often use statistical inference to make conclusions about a population based on a sample. The use of confidence intervals is one method of making these inferences. A single 95% confidence interval can be interpreted as follows: we are 95% confident that our interval is one that contains the true population parameter.
This means that if we were to repeat the study many times, we would expect the true population parameter to be within our interval 95% of the time.
It is important to note that this interpretation assumes that the sample was selected randomly and that the assumptions for the statistical test used to construct the interval were met. Additionally, it is important to recognize that the interval is not a guarantee of the true population parameter being within it, but rather a range of values that is likely to contain the true parameter.
Overall, a single 95% confidence interval is a useful tool for making inferences about a population based on a sample, and it provides a range of values that we can be reasonably confident contains the true parameter.
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What is 3 to the 8th power times 3 to the 2nd power simplified and what law did you use?
Answer:
\(3^{10}\)
Step-by-step explanation:
\(3^{8}*3^{2}=3^{8+2}=3^{10}\)
Using the multiplication/product law of exponents, you can add the exponents up.
Answer:
3^10 and the law used would be the Product Rule for exponents.
Step-by-step explanation:
turning this question into an equation you would get:
3^8 * 3^2 = ?
The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:
A^x * A^y = A^(x+y)
Applying it to this question, you get
3^8 * 3^2 = 3^(8+2)
3^(8+2) is 3^10.
Therefore the simplified expression is 3^10.
Someone help with this please
Answer:
the answer is discrete
this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend
Step-by-step explanation:
In a telephone poll, 31 people said they like watching basketball and 13 people said they do not like watching basketball. What is the ratio of the number of people who do not like watching basketball to the total number of people polled?
Answer:
13/44 or about 29.5%
Step-by-step explanation:
Answer: 13 to 30
Step-by-step explanation: my gpa is 4.0
what is the area of a rectangle with side lengths of 5/12 foot and 2/3 foot
(help this is due today)
Answer: 10/36
Step-by-step explanation:
Max surveyed 100 of the 200 7th graders that attend his school to help determine new lunch choices in the lunch room. He has come up with these findings.
Which statement is supported by the information in his graphs?
A
It can be inferred that on the days that students are offered pizza and salad, 70% of students are pleased with the offerings.
B
It can be inferred that about the same number of students get a salad as the number of students that like cheeseburgers and tacos combined.
C
It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.
D
It can be inferred that if the lunchroom offered cheeseburgers and tacos on the same day, every student would get a tray that day.
Answer:
It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.
Step-by-step explanation:
From barchart, we can observe that ; the both pizza and chicken nugget have the highest number of 7th grade students who prefer them. Hence, with these numbers, most students will be pleased if these are the food options served each day.
Please help geometry people.
Answer:
Since QPR is an isoscelese triangle, QP and PR are congruent.
Therefore PR = 8
My guess for ST is z=1. So (5z = 5) and( 2z = 2). Then add 3 to 2 and you get 5. So ST = 5
Step-by-step explanation:
Hope this helps!!!
Please mark brainliest.
What is the area of the figure?
Tom has a choice between borrowing $250 from his grandmother, who will charge him simple interest, or borrowing $250 from the bank, which will charge him compound interest at the same percentage rate. He plans to pay off the loan in 8 months. He wrote the two expressions below to figure out how much he would owe for both loan options.
250 (1.02)^8
250 + 8 (5.00)
What percent will he be charged?
Which expression represents the amount he would owe his grandmother?
Which one represents what he should owe the bank?
The percentage that Tom will be charged is 2 % per month or 24 % per annum.
The expression for the amount owed to the grandfather is 250 + 8 (5.00).
The expression for the amount owed to the bank is 250 (1.02 ) ^ 8.
How to find the percentage ?The percentage can be found by dividing the interest payment by the total amount borrowed :
= 5 / 250
= 2 %
In a year, this is :
= 2 % 12 months
= 24 %
The expression for the amount owed to the bank is 250 (1.02)^8 because this is the way compound interest is represented. The other expression is therefore owed to the grandfather.
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The margin of error of a confidence interval is the error from biased sampling methods.a. trueb. false
Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.
What is Margin of error ?Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.
False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.
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What is the GCF of 24 and 42?
Answer:
6
Step-by-step explanation:
To find the GCF by factoring, list out all of the factors of each number and select the largest that both have in common.
I need help ASAP
what is the domain of y=-16x^2+1700
The domain of the equation y = -16x^2 + 1700 is the set of all real numbers.
Explanation:
To find the domain of the equation y = -16x^2 + 1700, we need to determine the set of all real numbers for which the equation is defined.
Since the equation is a quadratic equation, it is defined for all real values of x. There are no restrictions on the values of x that can be plugged into the equation.
Therefore, the domain of the equation y = -16x^2 + 1700 is the set of all the real numbers.
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pls help me understand
Answer:
total Change mean how much you change it. For example, If you have 2 dollor you give your mom 1 dollor, then what is your total Change now? 2-1=1 your total Change would be 1
Hope this helps.