Bobby bought 3 T-shirts at the mall
and a pair of pants for $16 at the
clothing store. All together he spent $28
for the clothes. How much was each
shirt?
Answers
Answer: $4
Step-by-step explanation: we know he spent 28 dollars in total and 16 of those was on a pair of pants so we can subtract 16 from 28 to get 12
we also know he bought 3 shirts in total and because 12/3=4 each shirt must have cost 4 dollars.
We can check the answer by combining the price of the shirts (12)
with the price of the pants (16) because 12+16=28 we know the cost of each shirt has to be $4.
Answer:
Each shirt was 4 dollars.
Step-by-step explanation:
28 - 16 = 12. 12 divided by 3 = 4.
Related Questions
Running out of time. Please make sure you know how to do this. Can't miss too many more!!!!!
Answers
Answer:
its the second one
Step-by-step explanation:
Answer:
∠ 3 and ∠ 2
Step-by-step explanation:
Complementary angles sum to 90°
Since ∠ 1 = 90° and ∠ 1, ∠ 2 and ∠3 lie on a straight line, then
∠ 1 + ∠ 2 + ∠ 3 = 180°, that is
90° + ∠ 2 + ∠ 3 = 180° ( subtract 90° from both sides )
∠ 2 and ∠ 3 = 90°
Since they sum to 90° then
∠ 3 and ∠ 2 are complementary
Draw and properly label Mohr's circle given σx= 16 ksi,σy = 9 ksi, τxy = 5 ksi.
1. Draw stress element.
2. Find radius and center.
3. Draw Mohr's circle.
4. Draw principal stress element with angle.
5. What is the absolute shear stress when σx =σy?
Answers
Mohr's circle is a graphical method used to determine the principal stresses and shear stresses in a material. Given the stress components σx = 16 ksi, σy = 9 ksi, and τxy = 5 ksi, we can follow several steps to draw and analyze Mohr's circle.
1. To begin, draw a stress element with the x-axis representing normal stress (σ) and the y-axis representing shear stress (τ). Label the x-axis as σ and the y-axis as τ.
2. Find the center of Mohr's circle by calculating the average of the normal stresses: (σx + σy) / 2. In this case, the center is ((16 + 9) / 2, 0) = (12.5 ksi, 0).
3. Determine the radius of Mohr's circle using the formula: R = ((σx - σy) / 2). In this case, the radius is ((16 - 9) / 2) = 3.5 ksi.
4. Draw Mohr's circle with the center at (12.5 ksi, 0) and a radius of 3.5 ksi. The circle represents all possible stress states for the given stress components.
5. To draw the principal stress element, draw a line from the center of the circle to the right edge of the circle. The angle between this line and the x-axis represents the orientation of the principal stress element.
To find the absolute shear stress when σx = σy, we need to identify the point on Mohr's circle where the x-axis intersects. At this point, the shear stress (τ) is zero, since there is no shear stress when σx = σy.
Mohr's circle can be drawn by following the steps outlined above. The circle represents all possible stress states, and the principal stress element can be identified by drawing a line from the center to the right edge of the circle. The absolute shear stress when σx = σy is zero, as indicated by the point where the x-axis intersects Mohr's circle.
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From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year, and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. The mean weight of the sample is 144 grams with a standard deviation of 13.2 grams. A significance test at an alpha level of Alpha = 0.05 produces a P-value of 0.054. What is the correct interpretation of the P-value?
There is a 5.4% chance that the null hypothesis is incorrect if the true mean weight is 140 grams.
There is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance if the true mean weight is 140 grams.
There is a 5.4% probability that a sample mean of 144 grams will occur by chance alone if the true mean weight is 140 grams.
Assuming the true mean weight of the apples is 140 grams, there is a 94.6% probability that a random sample of apples will produce a mean weight of 140 grams.
Answers
The correct interpretation of the P-value in this scenario is: "There is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance if the true mean weight is 140 grams."
The P-value represents the probability of obtaining a sample mean as extreme as, or more extreme than, the observed value, assuming the null hypothesis is true. In this case, the null hypothesis would state that the mean weight of the Gala apples is 140 grams.
Since the P-value (0.054) is greater than the significance level (α = 0.05), it is not statistically significant at the 0.05 level. This means that we do not have strong evidence to reject the null hypothesis. However, the P-value is relatively close to the significance level, indicating that there is a moderate probability of observing a sample mean of 144 grams or greater if the true mean weight is actually 140 grams.
Therefore, we can interpret the P-value as indicating that there is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance alone if the true mean weight of Gala apples is 140 grams.
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What is the solution to –2(8x – 4) < 2x + 5?
x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6
Answers
The solution to –2(8x – 4) < 2x + 5 is x > 1/6
How to solve the inequality?The expression is given as:
–2(8x – 4) < 2x + 5
Expand
-16x + 8 < 2x + 5
Evaluate the like terms
-18x < -3
Divide both sides by -18
x > 1/6
Hence, the solution to –2(8x – 4) < 2x + 5 is x > 1/6
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Answer:
Step-by-step explanation:
he solution to the inequality expression is x > 1/6
Given the inequality expression
–2(8x – 4) < 2x + 5
Expand the parenthesis
-16x + 8 < 2x + 5
Subtract 5 from both sides
-16x + 8 - 5 < 2x + 5 - 5
-16x + 3 < 2x
-16x - 2x < -3
-18x < -3
Divide both sides by -18
-18x/-18 > -3/-18
x > 1/6
Hence the solution to the inequality expression is x > 1/6
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Question 2 (2 points)Determine the following of the function y = 0.7log3(x).• DomainRange• X-intercept• Y-interceptAsymptote..
Answers
Recall that
\(\log _ax\)is defined for all positive real numbers, therefore:
\(\text{Dom}(0.7\log _3(x))=(0,\infty)\text{.}\)Also, since the range of log_3(x) is all real numbers, then:
\(Ran(0.7\log _3(x))=(-\infty,\infty).\)Now, to find the x-intercept, we set y(x)=0:
\(0.7\log _3(x)=0.\)Dividing the above equation by 0.7 we get:
\(\begin{gathered} \frac{0.7}{0.7}\log _3(x)=\frac{0}{0.7}, \\ \log _3(x)=0. \end{gathered}\)Solving the above equation for x we get:
\(\begin{gathered} 3^{\log _3(x)}=3^0, \\ x=1. \end{gathered}\)Therefore, the x-intercept has coordinates (1,0).
Since the function is only defined at (0,∞), there is no y-intercept.
Finally, the function has an asymptote at x=0.
Answer:
Domain:
\((0,\infty).\)Range:
\((-\infty,\infty).\)X-intercept:
\((1,0)\text{.}\)Y-intercept: There is no y-intercept.
Asymptote:
\(x=0.\)A certain stock has grown continuously from 1980 to 2015. A $10,000 investment in the stock in 1980 would be worth $3,500,000 in 2015. Find the stock's average annual growth rate during this period. Round to the nearest percent.
Answers
If a certain stock has grown continuously from 1980 to 2015, for this period of time its average annual growth rate is 18%.
It is given that A certain stock has grown continuously from 1980 to 2015.
Stock's initial value in 1980 (I) = $10,000
Stock's final value in 2015 (F) = $3,500,000
time period t = 2015-1980 = 35 years.
Since, the stock has grown continuously, it should have grown compounded annually.
Stock's average annual growth rate (r) is calculated as:
\(\text{r} = {(\dfrac{F}{I})^{\frac{1}{t}}-1\)
Substitute all the given values in the above formula:
\(\text{r} ={ (\dfrac{3500000}{10000})^{\frac{1}{35}}-1\)
\(\text{r} = {(350})^{\frac{1}{35}}-1\)
\(r = (350)^{0.02857142857}-1\)
\(r=1.18219102629-1\)
\(r=0.18219102629\)
\(r=0.18\)
\(r\approx 18\%\)
Hence, stock's average annual growth rate during the period of 35 years is 18%.
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Completa el cuadro,escribiendo en la casilla de que corresponde los nombres de los elementos presentes en cada obra.
Answers
Answer:
Cada unidad integra los cinco bloques, según el ajuste curricular de Lengua y ... Escribo la letra de la palabra del recuadro, que corresponde al ... Completo el cuadro con las características antes señaladas. ... literarios con nuevas versiones de escenas, personajes u otros elementos. ... oración que presente al animal.
Step-by-step explanation:
HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score?
Answers
Answer:
A. y=x2 - 7
y=x + 6
B. 7
Answer:
A.) 2x = y + 7
y = x + 6
The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.
B.) They are both correct so Jacob's score is 13 points and Paul's is 19.
6 + 7 = 13 (the difference between scores in both equations)
6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.
Hope This Helps!
when a plumber is called the cost of the service call is 65$ for them to show up at your house, plus an additional $30 per hour
PLEASE SOLVE ALL OF THEM I WILL GIVE U THE WORLD
Answers
Answer:
Step-by-step explanation:
y=30x+65
y=30(3)+65
y=90+65
y=155
Hen interpreting f (7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
Answers
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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determine whether the transverse axis and foci of the hyperbola are on the x-axis or the y-axis.
(y^2)/(10) - (x^2)/(16)=1
Answers
The transverse axis and foci of the hyperbola are on the x-axis.
To determine whether the transverse axis and foci of the hyperbola are on the x-axis or the y-axis, we need to look at the equation of the hyperbola:
(y²)/10 - (x²)/16 = 1
We can rewrite this equation as:
(x²)/16 - (y²)/10 = -1
Compare this equation with standard form
(x²/a²) - (y²/b²) = 1
The transverse axis of the hyperbola is along the x-axis, since the term with x² is positive and the term with y² is negative.
This means that the hyperbola opens horizontally.
To find the foci of the hyperbola, we need to use the formula:
c = √a² + b²
c = √16 + 10) = √26
The foci of the hyperbola are located along the transverse axis, so they are on the x-axis.
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geometric: you vs serena williams* you are playing serena williams (who has one hand tied behind her back) in tennis. your probability of losing is 98% and thus probability of winning is 2%. you will stop playing after you beat her. what is the probability you win on the 20th game played?
Answers
Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.
P(A) = f / N.
probability = 2%/100=0.0002
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.
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PLEASE ANSWER ASAP!!!
What is the solution to this inequality?
6.9 < x − 3 1/2
Responses
x < 3.4
x > 3.4
x > 10.4
x < 10.4
Answers
Answer:
x > 10.4
Step-by-step explanation:
The inequality is
6.9 < x − 3 1/2
Convert 3 1/2 to decimal:
1/2 is 0.5, 3 1/2 = 3 + 0.5 = 3.5
So the inequality becomes;
6.9 < x - 3.5
Add 3.5 to both sides of the inequality:
6.9 + 3.5 = x - 3.5 + 3.5
10.4 < x
Which can be rewritten as x > 10.4
Answer: x>10.4
Step-by-step explanation: i took the test
Simplify: -2(8) + 7 =
Answers
Answer:
This equals -9
Step-by-step explanation: Im smart
-2(8)= -16
-16+7= -9
HELP I NEED THIS DONE NOW!
Find the error in the calculations shown, and then evaluate the expression correctly.
-3.8 - (7.2 - 10 3/8
3.8+(-7.2 - 10 3/8
(-3.8+(-7.2)) – 10 3/8
- 11 - 10 3/8
11+ 10 3/8
21 3/8
Answers
Answer:
-3.8 - (7.2-10 3/8)
-3.8+(-7.2+10 3/8) this is the error, it's positive 10 3/8, not negative, then you should solve what's in the parentheses first
I simplified 10 3/8 into 83/8 and then 10.375
-3.8+(-7.2 + 10.375)
-3.8+ 3.175 = -0.625
please help me on this!
Answers
Answer:
1) Jina is not a member of the Music Club.
2) Three students are a member of the Music Club but not the Math Club.
3 Mary and Dan are in all three clubs.
Step-by-step explanation:
Look at the diagram and notice how each club has its own circle. If a student is in that circle, then they are a member of that club. When circles overlap, that overlap space means that a student is a member of two or all three clubs, depending on how many and which circles overlap.
1) Looking at Jina's location on the diagram, she is in the overlap between the math and chess club circles. However, her position does NOT overlap with the Music Club circle, therefore she is not a member of the Music Club.
2) Let's look at the students of the Music Club circle and its overlaps with the Chess Club circle, but NOT the overlaps with the Math Club circle. We can see that Lucy, Josh, and Juan are in these locations, therefore there are three students who are members of the Music Club but not the Math Club.
3) To find which students are in all three clubs, you would look at the middle of the diagram where all three circles overlap. The students listed in this location are Mary and Dan, therefore they are in all three clubs.
Convert 14 degrees Fahrenheit to Celsius.
5
(F-32)
9
Note: C =
a. -10° Celsius
b. 10° Celsius
C. 1000 Celsius
d. -1000 Celsius
Answers
Answer:
a. -10.
Step-by-step explanation:
The formula is 5/9 * (F-32).
So 14-32 = -18
5/9 * -18 = -10
(14°F − 32) × 5/9 = -10°C
---
hope it helps
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Answers
Step-by-step explanation:
One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.
What is the cost of one sandwich?
Answer:
One sandwich costs $30
One juice costs $10
angels has a collection of nickels and quarters worth 8.80. if she has 68 nickels and quarters, how many quarters does she have?
Answers
Answer:
She has 27 quarters
Step-by-step explanation:
Let:
x = Number of nickels
y = Number of quarters
US$0.05 = 5 cents = monetary value of a nickel
US$0.25 = 25 cents = monetary value of a quarter
x + y = 68
x = 68 - y ---- -------- (equation i)
0.05x + 0.25y = 8.80----- (equation ii)
These two are linear simultaneous equations, which can be solved either by substitution, elimination or graphical method.
Substitution method:
Substitute (equation i) into (equation ii) to solve for y:
0.05(68 - y) + 0.25y = 8.80
Expand the brackets by applying the Distributive Law and then bring all the like terms together. y needs to be isolated and made the subject of the equation:
= 3.4 - 0.05y + 0.25y = 8.80
= 0.25y - 0.05y = 8.80 - 3.40
= 0.20y = 5.40
= y = \(\frac{5.40}{0.20}\)
∴ y = number of quarters = 27
12 (15 points): Consider an annuity with 20 payments. The first payment is $1000 and each subsequent payment is 3% less than the previous payment. At an annual effective interest rate of 10%, find the accumulated value of this annuity on the date of the last payment. Round to the nearest dollar.
Answers
An annuity is a monetary agreement between an investor and a financial institution or company in which the investor makes a series of payments, and the financial institution or company agrees to pay interest on the investment and return the initial investment in the future.
The term "accumulated value" refers to the total value of the annuity at a specific point in time, which includes the initial investment, interest earned, and any additional payments made by the investor. Now let's move on to the solution: Given, n = 20, R = $1000, and interest rate, i = 10%.
The formula to find the accumulated value of an annuity is\(:$$A=R\frac{(1+i)^n-1}{i}$$\)Where A is the accumulated value, R is the regular payment amount, i is the interest rate per payment period, and n is the number of payments.
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9/5 - (-6/10)
Khan academy needs either exact fraction or exact decimal
Answers
Answer:
Exact fraction: 6/5
Exact Decimal: 1.2
Answer:
12/5 = 2.4
Step-by-step explanation:
The fraction 6/10 can be reduced to simplify the addition.
9/5 -(-6/10) = 9/5 +6/10 = 9/5 +3/5
= 12/5 = 2.4
__
The two minus signs "cancel." The product of any set of numbers with an even number of minus signs will be positive.
In a home run derby competition, there were 32 home runs out of 124 hits. approximately what percent of hits were home run?
Answers
In the home run derby competition the percent of hits that were home run is: 25.8%
Information about the problem:
home runs = 32hits = 124hits were home (%) = ?To solve this exercise we have to apply the percentage formula:
hits were home (%) = (home runs/ hits) * 100
hits were home (%) = (32/ 124) * 100
hits were home (%) = 0.2580 * 100
hits were home (%) = 25.8%
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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What is the polygon called?
Answers
Answer:
Trapezoid since it has one pair of parallel side and 4 sides.
I need help due in a Hour PLZ HURRY
Answers
Answer:
circumference=πd=6πcm
circumference of dark arc =(360-120)/360×πd=
240/360×6π=4π is the required answer
What is the average rate of change between:
x= 1 and x = 2?
x = 2 and x = 3?
x = 3 and x = 4?
Answers
Answer: See bolded below
Step-by-step explanation:
Average rate of change is the slope. To find that, we would need the equation \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).
Reminder: The scale fo the graph goes by 2. You need to make sure you are looking at the right coordinates.
1. The coordinate points are (1, 2) and (2, 4).
\(m=\frac{4-2}{2-1}=\frac{2}{1} =2\)
The average rate of change is 2.
2. The coordinate points are (2, 4) and (3, 8).
\(m=\frac{8-4}{3-2} =\frac{4}{1} =4\)
The average rate of change is 4.
3. The coordinates are (3, 8) and (4, 16).
\(m=\frac{16-8}{4-3} =\frac{8}{1} =8\)
The average rate of change is 8.
Simon's bank account has a balance of -$28.16. He goes to the bank and deposits $40.25. How much money is in his account after the deposit?
What operation is needed to solve this problem? Explain how you know and then solve.
Answers
The money in his bank account after the deposit is $12.09.
The balance amount in Simon's bank account is -$28.16.We can clearly see that the balance amount is a negative number.Simon goes to the bank and deposits $40.25.He deposits the money in the bank. It means we need to add the amount deposited by him to the existing balance amount in his bank account.We need to perform an addition operation to solve the problem.Let the amount of money in his account after the deposit be "x".x is equal to the sum of the amount before the deposit and the money deposited.x = -$28.16 + $40.25x = $12.09To learn more about addition, visit :
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What is the domain of the relation? {−5, 0, 3, 4} {−4, −1, 0, 1, 3} {−5, −2, 0, 1, 4} {−5, −4, −2, −1, 0, 1, 3, 4}
Answers
The requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.
What is a domain?The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
We have the ordered pair of a relation given as,
(-5, -10), (0, 0) (3, 6) (4, 8)
From above, the x absciss of each ordered pair is termed as the domain of the relation.
So, set of domain = {−5, 0, 3, 4}]
Thus, the requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.
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a salvage value of $7,000 after 4 years. At a MARR of 12% per year, when comparing the alternatives, the equation of PW is written as:
a. PWX=−20,000−9000(P/A,12%,4)+5000(P/F1,12%,4)−15000(P/F,12%,4)
b. PWX=−20,000−9000(P/A,12%,4)+5000(P/F,12%,2)−15000(P/F,12%,2)
c. None of these answers
d. PWX=−20,000+9000(P/A,12%,4)+5000(P/F,12%,4)−15000(P/F,12%,2)
Answers
The correct equation for comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).
The correct equation for the present worth (PW) when comparing the alternatives with a salvage value of $7,000 after 4 years and a MARR of 12% per year is:
b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2)
This equation takes into account the initial cost of -$20,000, the cash inflow of $9,000 per year for 4 years (P/A,12%,4), the salvage value of $5,000 at the end of year 2 (P/F,12%,2), and the salvage value of $15,000 at the end of year 4 (P/F,12%,4).
Therefore, the correct option is b. PWX = -20,000 - 9000(P/A,12%,4) + 5000(P/F,12%,2) - 15000(P/F,12%,2).
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A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 12t + 74, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?
Answers
The constant term of the expression, 74, represents the company's net sales in 2008. This is because the expression t^2 + 12t + 74 represents the company's net sales in billions of dollars, where t is the number of years since the end of 2008. When t = 0, the expression evaluates to 74, which represents the company's net sales in 2008.
In other words, the constant term of the expression represents the initial value of the function. In this case, the initial value is the company's net sales in 2008.
Subtract 2.53 x 105 from 1.3 x 108
Answers
Answer:
125.2 is your answer dear
Answer:
Step-by-step explanation:
2.53 x 105 is 265.65
1.3 x 108 is 140.4
now, Subtract 2.53 x 105 from 1.3 x 108
140.4 - 265.65
= -125.25
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