Josh works as a tutor for $9 an hour and as a waiter for $8 dollars an hour. This month, he worked a combined total of 101 hours at his two jobs.
Let t be the number of hours Josh worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answers
Work Shown:
t = number of hours tutoring
101-t = number of hours working as a waiter
The expressions t and 101-t add to 101.
9t = amount earned as a tutor, at $9 an hour
8(101-t) = amount earned as a waiter, at $8 an hour
9t+8(101-t) = total amount earned from both jobs
This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.
Related Questions
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answers
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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A medicine bottle contains 8 grams of medicine. One dose is 400 milligrams. How many doses does the bottle contain?
Answers
Answer:
20 doses
Step-by-step explanation:
400 milli. = 0.4 grams
8/0.4 = 20 doses
Solid of revolution (hyperbola) — related rates Calculus
Answers
The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.
What is the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl?To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.
Let;
h(t) = depth of the liquidt = timeThe rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.
To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.
h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|
Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.
D = depth of bowl
Using this relationship from the question given;
D = (1/3) * h
In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.
dD/dt = (1/3) * dh/dt
Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:
dD/dt = (1/3) * (7π)
Simplifying, we have:
dD/dt = (7/3)π cm³/s
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You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It includes the product, research, marketing, and accessibility costs. You also know that it equals the marketing expenses per month divided by the number of new customers per month.
You have determined that two certain groups of customers are the largest groups of buyers. You want to know which group will be more profitable to target in terms of marketing. You check the company’s big data and find that the marketing expense per month for targeting the first group is $30,000, while the second group requires $60,000. You estimate that this marketing campaign will be able to attract 1,000 new customers for demographic group 1 and 1,500 for demographic group 2.
A B C
1 Marketing Expenses Number of Customer
for Targeting Customers Customers Acquisition Cost
2
What is the Customer Acquisition Cost for each customer in demographic group 1?
a. $50.
b. $40.
c. $30.
d. $60.
What is the Customer Acquisition Cost for Group 2?
a. $80.
b. $40.
c. $60.
d. $100.
Answers
Answer:
The Customer Acquisition Cost for each customer in demographic group 1
The correct option is c
The Customer Acquisition Cost for Group 2
The correct option is b
Step-by-step explanation:
From the question we are told that
The marketing expenses per month for targeting the first group is \(E = \$ 30,000\)
The marketing expenses per month for targeting the second group is \(F = \$ 60,000\)
The number of customers for the demography of group 1 that will be attracted is N = 1000
The number of customers for the demography of group 2 that will be attracted is M = 1500
Generally the customer acquisition cost for group 1 is
\(K = \frac{E}{ N}\)
=> \(K = \frac{30000}{ 1000}\)
=> \(K = \$ 30 \)
Generally the customer acquisition cost for group 2 is
\(Z = \frac{F}{ M}\)
=> \(Z = \frac{60000}{ 1500}\)
=> \(Z = \$ 40 \)
The function g is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
g(x) = 3x² + 6x - 9
g(x) = 3(x + 1)² – 12
-
g(x) = 3(x+3)(x - 1)
What is the y-intercept?
y-intercept = (0,
▸
Answers
The form of the function that most quickly reveals the y-intercept is the second form:
\(g(x)=\) \(3(x+1)^{2} - 12\)
To find the y-intercept, we need to determine the value of g(x) when x is equal to 0. By substituting x = 0 into the function, we have:
\(g(0)=3(0+1)^{2} -12\)
\(=3(1)^{2} -12\)
\(=3-12\)
\(=-9.\)
Therefore, the y-intercept is -9. This means that the graph of the function intersects the y-axis at the point (0, -9), where the x-coordinate is 0 and the y-coordinate represents the y-intercept value.
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The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
Answers
Answer:
1. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike? $ 96.15
2. If the bike is discounted by 20%, how much will Andre pay (before tax)?
$ 100
I hope this helped <33 !
While driving your rental car on your vacation in Europe, you find that you are getting 13.3 km/of gasolineWhat does this value correspond to in miles per gallon?
13.3km/L=__________mi/gal
Answers
The rental car is getting approximately 37.56 miles per gallon.
To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:
1 km/l ≈ 2.82475 mpg
Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:
13.3 km/l x 2.82475 mpg ≈ 37.56 mpg
So, your rental car is getting approximately 37.56 miles per gallon.
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For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or never has a fixed finite value.
In the first case answer IND, in the second case enter the numerical value, and in the third case answer DNE.
For example:
IND: 0/0
0: 0/1
DNE: 1/0
Note that Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1. 1/-[infinity]
2. 0 - [infinity]
3. 0[infinity]
4. [infinity][infinity]
5. 0−[infinity]
6. [infinity]−[infinity]
7. [infinity]−e
8. 1[infinity]
9. π−[infinity]
10. π[infinity]
11. 1 −[infinity]
12. [infinity]1
13. [infinity]−[infinity]
14. 0/[infinity]
15. [infinity]0
16. 00
17. 10
18. 1 - [infinity]
19. [infinity]/0
20. inf - inf
Answers
Step-by-step explanation:
1. 1/-[infinity] = 0
2. 0 - [infinity] = -∞
3. 0[infinity] = 0
4. [infinity][infinity] = IND
5. 0−[infinity] = -∞
6. [infinity]−[infinity] = ∞
7. [infinity]−e = ∞
8. 1[infinity] = ∞
9. π−[infinity] = -∞
10. π[infinity] = ∞
11. 1 −[infinity] = -∞
12. [infinity]1 = ∞
13. [infinity]−[infinity] = ∞
14. 0/[infinity] = IND
15. [infinity]0 = 0
16. 00 = 0
17. 10 = 10
18. 1 - [infinity] = -∞
19. [infinity]/0 = DNE
20. inf - inf = ∞
Determine whether Y=-x+6 x+y=20 is parallel, perpendicular or neither
Answers
Answer:
Parallel
Step-by-step explanation:
-x+6 slope:-1
X+y=20 slope -1
Hence the answer is parallel
determine 3x4 2x5 if x1, x2, x3, x4, and x5 satisfy the system of equations given below: 2x1 x2 x3 x4 x5
Answers
On solving the linear equations we get the result as
x1 + x2 − 2x3 + 3x4 + 2x5 = 6
3x1 + 3x2 − x3 + x4 + x5 = 12
2x1 + 2x2 − x3 + x4 − 2x5 = 5
4x1 + 4x2 + x3 +0x4 − 3x5 = 16
8x1 + 5x2 − 2x3 − x4 + 2x5 = 29
where ,
x1 = 5,x2 = -1, x3 = 3 ,x4 = 2 , x5 = 1
Finding the value of an equation's unknown variable can be done by solving the equation. If an equation contains a "equal to" sign, it is considered to be balanced. This equation so shows that the two quantities on both sides of it are equal. Left hand side and right hand side are the two sides of the equation (Right hand side).
One equation is x - 4 = 5, for instance. It illustrates that x - 4 (LHS) = 5. (RHS). Here, x is an unknowable quality or variable. Therefore, in order to determine the value of x, we must solve this equation.
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How do you do this question?
Answers
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Suppose the finishing times for cyclists in a race are normally distributed. If the population standard deviation is 16 minutes, what minimum sample size is needed to be 90% confident that the sample mean is within 5 minutes of the true population mean?
Answers
The minimum sample size is needed to be 90% confident that the sample mean is within 5 minutes of the true population mean is 40.
What is the confidence interval?In frequentist statistics, a confidence interval is a range of estimates for an unknown parameter.
We have that to find our α level, that is the subtraction of 1 by the confidence interval divided by 2.
α = (1 - 0.90)/2 = 0.05.
Now, we have to find z in the Ztable as such z has a p-value of 1 - α.
So it is z with a pvalue of 1 - 0.05 = 0.95 = 1.96.
Now, find the margin of error M as such,
M = z×(sigma/√n).
5 = 1.96×(16/√n).
5√n = 31.36.
n = 39.9.
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What is the slope of the line through the points (-8, 4) and (4, 4)?
Answers
Answer:
slope=0
hope this helps
have a good day :)
Step-by-step explanation:
If the volume of a gumball machine is r² over 54 how many 1" diameter gumballs can fit?
Answers
As the number of gumball is: N
\(\begin{gathered} N=\frac{Volume\text{ of mac.}}{\text{Volume of gumball}} \\ N=\frac{\frac{r^2}{54}}{\frac{4}{3}\pi\times r^3} \end{gathered}\)Now put the values in the formula:
\(\begin{gathered} N=\frac{\frac{r^2}{54}}{\frac{4}{3}\pi(1.27)^3} \\ N=\frac{r^2}{463.3} \end{gathered}\)Now put the radius of the machine.n As there is no radius given in the problem You can put it accordinagly
An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts
Answers
Answer:
1/160
Step-by-step explanation:
Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.
Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.
In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.
1/5 * 1/32 = 1/160
what is 200 divided by 40
Answers
Answer:
5
Step-by-step explanation:
From the given division, the remainder is 0 and the quotient is 5.
Given that, 200 divided by 40.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 200/40
40)200(5
200
_______
0
So, remainder = 0 and quotient = 5
Therefore, from the given division, the remainder is 0 and the quotient is 5.
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A specimen of connective tissue (collagen) can be obtained from a beef steak. The temperature at which the collagen shrinks can be determined. A tender piece of meat tends to have a low collagen shrinkage temperature. So, the lower shrinkage temperature, the more tender the meat. It is believed that electrical stimulation of a beef carcass could improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was subjected to a brief electrical current and the other side was an untreated control. For each side, a steak was cut and tested in various ways for tenderness. In one test, the experimenter obtained a specimen of the connective collagen tissue from the steak and determined the temperature at which the tissue would shrink. The experimenter wishes to prove that electrical stimulation tends to improve the tenderness of the meat. The raw data are found in the table below. Let = 0.02.
Answers
To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples
In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.
The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.
I, it suggests that electrical stimulation does improve meat tenderness.
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Helppppppp pleaseeeee
Answers
Answer:
is it asking how many times u would get then number 5 when u roll or asking how you would expect for the first 5 rolls?
what is the sum 3/x+9+5/x-9
Answers
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
(2x2 - 3x + 7) - (-3x2 + 4x - 7)
what is the combine terms
Answers
Answer:
-7x+24
Step-by-step explanation:
(2*2-3x+7) - (-3*2+4x-7)
11-3x+13-4x
-7x+24
Answer:
-7x +24
Step-by-step explanation:
2*2-3x+7) - (-3*2+4x-7)
11-3x+13-4x
-7x+24
Please help!! I don’t understand trigonometric functions
Answers
The horizontal transformations are defined as follows:
cos(ax).
They are classified as follows:
Stretch if |a| < 1.Compression if |a| > 1.The vertical transformations are defined as follows:
acos(x).
They are classified as follows:
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Which number has a 9 that is 1/10 the value of the 9 in 296? 1. 195 2. 409 3.981. 4. 1,956
Answers
3. An investor received a check in the mall
that was for 6 percent of the amount
invested. If the amount invested was $450.
what was the amount of the check?
(1) $ 24.30
(2) $ 27.00
(3) $ 27.30
(4) $ 75.00
(5) $270.00
Answers
The amount of the check with 6 percent of the amount invested was (2) $27.00.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to denote it.Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 chickens, and 20% of the quantity is equal to 20% of 1,000, or 200.So, 6% of $450:
Then,
Therefore, the amount of the check with 6 percent of the amount invested was (2) $27.00.
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Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
Answers
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
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. Predict how the display may look after another 20 minutes.
erature
Answers
Answer:
creature
Step-by-step explanation:
it's definitely creature
\(5x/x-4=20/x-4+3\)
Answers
Answer:
x=4
Step-by-step explanation:
multiplying everything by x-4 we get
5x=20+3x-12
2x=8
x=4
if my answer helps please mark as brainliest.
The question is asked in the attached file,. Kindly someone answer it in the best way.
Answers
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Express the function graphed on the axes below as a piecewise function
Answers
The graph given can be expressed as piecewise function as,
f(x) = 2x + 10, for [-6, -3)
= -x + 1, for (-3, 2)
What is a Piecewise Function?A piecewise function is a function which has different definitions of values for different intervals.
Given is a graph of a function.
The graph consists of two lines.
In the interval [-6, -3), the graph is a line with positive slope.
In the interval (-3, 2), the graph is a line with negative slope.
Now we have to find the equation of two lines.
The positive line passes through (-6, -2) and (-5, 0).
Slope of the line = (0 - -2) / (-5 - -6) = 2 / 1 = 2
Slope intercept form of the line is y = mx + c, where m is slope and c is y intercept.
y = 2x + c
Substitute a point (-5, 0), in the equation.
0 = (2 × -5) + c ⇒ c = 10
Equation is y = 2x + 10
The negative line passes through (0, 1) and (1, 0).
Slope = (0 - 1) / (1 - 0) = -1
y intercept = 1, since the line passes touches the Y axis at the point (0, 1).
Equation of line is y = -x + 1
So the function is, f(x) = 2x + 10, for [-6, -3)
= -x + 1, for (-3, 2)
Hence the piecewise function is found.
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Answer:
y = 2x + 10 for -6 <= x < -3
y = -x + 1 for -3 < x < 2
Step-by-step explanation:
Which of the values in the following data set would have a relative frequency of 30%? 10, 20, 20, 50, 30, 20, 10, 50, 60, 70
Answers
20 is the value in the given data set which have a relative frequency of 30%.
Given,
The data set as,
10, 20, 20, 50, 30, 20, 10, 50, 60, 70.
We have to find the value from the above given data set which have a relative frequency of 30%.
Relative frequency = (subgroup count / total count) × 100
Here, 20 is the most repeating value. So we can calculate with it.
There are three 20's in the set.
So, subgroup count = 3
Total count = 10
Then,
Relative frequency = (3/10) × 100 = 30
Hence, we can conclude that 20 is the value in the given data set which have a relative frequency of 30%
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HELP PLS IM CRYING I NEED IT PLSS ANSWER IT PLSSSSS
Answers
Answer:
C) 4k-24
A)10x+15x
Step-by-step explanation: