Oscar worked 40 hours last week. He had $160 deducted from his earnings for taxes. If he had $480 left
after the deduction, how much does Oscar earn per hour ?
Answers
Related Questions
Solve for x in the equation −6x+18=−6. Place the steps for solving this equations in order.
Answers
Answer:
x=4
Step-by-step explanation:
-6x = -6-18
-6x = -24
-6x/-6 = -24/-6
x =4
› 10
2.8
First add 6 to both sides of the equation,
tex]-6×+18+6=-6+611
-6×+24=0 \)
Add 6x to both sides of the equation,
\(-6x+24+6×=6x\1
24=6x\1
6x=24\\
×=\frac{24¥6} =4 \)
The solution is x=4
Please help me will give you brainliest!!!
Answers
It is said that "one year in a dog's life is
equivalent to seven years in a human's
life.” Explain why Newton thinks he has
a score of 105 points. Did he solve the
proportion correctly?
1 year ?
15 points
105 points
7 years
Answers
Answer:
im drunk so gfhdjskal
Step-by-step explanation:
Need some math help thanks in advance!
Answers
Answer:
x = 10
y = 6
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
Beads are dropped to create a conical pile such that the ratio of its radius to the height of the pile is constant at 2:3 and the volume is increasing at a rate of 5 cm^3/s. Find the rate of change of height at h = 15cm.
Answers
Answer:
\(\displaystyle \frac{dh}{dt} = \frac{1}{20 \pi} \ cm/s\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesGeometry
Volume of a Cone: \(\displaystyle V = \frac{1}{3} \pi r^2h\)Calculus
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
\(\displaystyle \frac{r}{h} = \frac{2}{3} \\\frac{dV}{dt} = 5 \ cm^3/s\\h = 15 \ cm\)
Step 2: Rewrite Cone Volume Formula
Find the volume of the cone with respect to height.
Define ratio: \(\displaystyle \frac{r}{h} = \frac{2}{3}\)Isolate r: \(\displaystyle r = \frac{2}{3} h\)Substitute in r [VC]: \(\displaystyle V = \frac{1}{3} \pi (\frac{2}{3}h)^2h\)Exponents: \(\displaystyle V = \frac{1}{3} \pi (\frac{4}{9}h^2)h\)Multiply: \(\displaystyle V = \frac{4}{27} \pi h^3\)Step 3: Differentiate
Basic Power Rule: \(\displaystyle \frac{dV}{dt} = \frac{4}{27} \pi \cdot 3 \cdot h^{3-1} \cdot \frac{dh}{dt}\)Simplify: \(\displaystyle \frac{dV}{dt} = \frac{4}{9} \pi h^{2} \frac{dh}{dt}\)Step 4: Find Height Rate
Find dh/dt.
Substitute in known variables: \(\displaystyle 5 \ cm^3/s = \frac{4}{9} \pi (15 \ cm)^{2} \frac{dh}{dt}\)Isolate dh/dt: \(\displaystyle \frac{5 \ cm^3/s}{\frac{4}{9} \pi (15 \ cm)^{2} } = \frac{dh}{dt}\)Rewrite: \(\displaystyle \frac{dh}{dt} = \frac{5 \ cm^3/s}{\frac{4}{9} \pi (15 \ cm)^{2} }\)Evaluate Exponents: \(\displaystyle \frac{dh}{dt} = \frac{5 \ cm^3/s}{\frac{4}{9} \pi (225 \ cm^2) }\)Evaluate Multiplication: \(\displaystyle \frac{dh}{dt} = \frac{5 \ cm^3/s}{100 \pi cm^2 }\)Simplify: \(\displaystyle \frac{dh}{dt} = \frac{1}{20 \pi} \ cm/s\)Find missing angle
100°
100°
X=
Answers
Answer:
200 + X
Step-by-step explanation:
Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).
Answers
21x-7y=12
-7y=12-21x
y= -12/7+3x
Point: (1,-3)
y-y1=m (x-x1)
y+3= -12/7 (x-1)
y+3= -12/7x + 12/7
y= -12/7x -9/7
The equation is y= -12/7x- 9/7
help asap!!! (DIFFERENT THAN ALL THE OTHERS!!!)
A colored spinner with eight equal sections is given.
a colored spinner with 8 equal sections numbered 1-8
Using the fair spinner, determine P(greater than 3) when the spinner is spun once.
0.625
0.875
0.125
0.25
Answers
The probability of getting a number greater than 3 when the spinner is spun once is the probability of getting a 4, 5, 6, 7, or 8, which are five out of the eight possible outcomes.
So, the probability of getting a number greater than 3 is:
P(greater than 3) = 5/8
Therefore, the answer is 0.625.
I need help please.
Answers
Answer:
A) c(x)=2x+60
$74
Step-by-step explanation:
A) c(x)=2x+60
$74
calculates the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100
Answers
The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
How to calculate arithmetic progression?The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
a = first termUn = sumn = no of termsd = common ratio100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
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what's the estimate of 1925 × 7
Answers
Answer:
13,500
Step-by-step explanation:
1925 x 7 = 13,475
13,475
5 and up means round up so we start at the ones place.
13,500
Hopefully this helps you :)
pls mark brainlest ;)
suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. that is, 2% of people who do not use opium test positive for opium and 5% of opium users test negative for opium. furthermore, suppose that 11% of people actually use opium.a) Find the probability that someone who tests negative for opium use does not use opium.b) Find the probability that someone who tests positive for opium use actually uses opium.
Answers
The probability that someone who tests positive for opium use actually uses opium is 0.854 .
In the question ,
it is given that , the false positivity rate is 2% .
Let the sample size be of 100 .
11% of the people actually use opium = 100*0.11 = 11.
People who do not use opium = 100 - 11 = 89.
the test for opium has a 2% false positive , that is
= 2% of 89 = 89*0.02 = 1.78
So , the True negative = 89-1.78 = 87.22
the test for opium has a 5% false negative , that is
= 5% of 11 = 11*0.05 = 0.55
So , the True positive = 11-0.55 = 10.45
Probability is calculated by favorable/total.
Total (positive) = true + false = 10.45 + 1.78 = 12.23 .
Favorable (true) = 10.45
Probability is = 10.45/12.23 = 0.854
Therefore , the required probability is 0.854 .
The given question is incomplete , the complete question is
Suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. that is, 2% of people who do not use opium test positive for opium and 5% of opium users test negative for opium. furthermore, suppose that 11% of people actually use opium.
Find the probability that someone who tests positive for opium use actually uses opium.
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Equation A is equal to (C + D) x (C + D). Equation B is equal to 2 x (C + D). If C and D were numbers that were greater than zero, which equation would give you a bigger value ? Equation A or Equation B ? Give an example for C and D that supports your answer. PLEASE HELP TIMED EXAM!!!!!
Answers
According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
What is equation?Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.
given,
To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.
Expanding Equation A, we get:
A = (C + D) x (C + D) = C² + 2CD + D²
Simplifying Equation B, we get:
B = 2 x (C + D) = 2C + 2D
To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.
Plugging these values into Equation A, we get:
A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25
Plugging these values into Equation B, we get:
B = 2(3 + 2) = 2(5) = 10
Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.
Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
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. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answers
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
Repeating decimal 0.12 as a fraction
Answers
Which degenerate conic is formed when a double cone is sliced at the apex by a plane parallel to the base of the cone?
Two lines
Point
Hyperbola
Ellipse
Answers
When the double cone is sliced at the apex by a plane parallel to the base of the cone, the resulting degenerate conic is a point.
What is degenerate conic?A degenerate conic is a conic that does not have the usual geometric properties of its non-degenerate counterpart.
It is formed by slicing a cone with a plane in a way that produces a special type of conic section.
This is because the plane cuts through both halves of the cone, resulting in the two halves becoming one point at the apex of the cone. The other degenerate conics that can be formed by slicing a double cone with a plane are:
If the plane intersects both halves of the cone, but does not pass through the apex, the resulting degenerate conic is a pair of intersecting lines.
If the plane intersects only one half of the cone, the resulting degenerate conic is a single line.
If the plane intersects both halves of the cone, passing through the apex, the resulting degenerate conic is a single line.
If the plane is parallel to one of the generating lines of the cone, the resulting degenerate conic is a parabola.
If the plane intersects both halves of the cone, but at an angle that is not parallel to the base or perpendicular to a generating line, the resulting degenerate conic is a hyperbola.
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April took out a $600 loan from the bank. At the end of 5 years, she pays back $660 to the bank. What was the simple interest rate
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The rate at which the principal of 600 dollars will yield 660 dollars sfter 5 years is 2%.
What is simple interest?Simple Interest (S.I) is the method of calculating the interest amount for some principal amount of money.
You often have to borrow money from banks in the form of a loan. During payback, apart from the loan amount, you pay some more money that depends on the loan amount as well as the time for which you borrow. This is called simple interest. This term finds extensive usage in banking.
principal(P) = 600
Amount paid back = 660
Interest made = 660 - 600 which is 60 dollars
loan tenor( T) = 5 years
Rate = R
interest is related to the principal, time and rate by ,
I = PRT/100
making R, the subject, we cross multiply
PRT = 100I
dividing both sides by PT
R = 100I/PT
substituting the values of I, P and T
R = 100 x 60 / 600 x 5
R = 2%
In conclusion the interest rate is 2%
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Evaluate A² for A = -4.
Answers
Answer:
-4^2= 16
Step-by-step explanation:
a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.
Answer:
-4^2= 16
Step-by-step explanation:
Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
a.
The interest rate should be ignored, because there’s nothing a consumer can do to change it.
b.
The interest rate is essentially how long you have to pay off your loan, and the shorter the better.
c.
The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.
d.
The interest rate does not change, even between banks, so choosing the right time to borrow is essential.
Answers
Answer:
C
Step-by-step explanation:
trust me c is the correct answer
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
4/3C, when C=6
show your work here
Answers
4 divided by 3C
If C equals 6, then the equation now looks like 4 divided by 3(6).
3 x 6 = 18.
4 divided by 18 is .22 repeating.
This may be wrong. Check with another answer.
Answer: 2/9
Work: So, you are going to get the equation after plugging in the number 4/3(6), after simplifying even more, you get 4/18. Then you simplify again and divide both sides (Numerator and denominator) and you get 2/9.
I hope this helps, and Happy Holidays! :)
Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salary at Company A last year was $ 135,750 per year. Being interested in this you try to investigate this. You discover there are 8 individuals, including the business owner, that works at the company. You discover that the salaries of the 7 individuals are surprisingly low. The salaries of those 7 individuals are $8,000, $8,000, $7,000, $11,000, $15,000, $17,000, and $20,000. You then discover the salary of the business owner to be $1,000,000.
Compare the mean with the median? What does this show?
Find Q1 (first quartile) , Q3 (third quartile) , and Interquartile Range (IQR)?
Are there outliers? Please prove there is an outlier using the Q1-1.5*IQR and Q3 + 1.5*IQR formulas?
Find the 10% trimmed mean of the 8 salaries above. Compare this with the median found in part a.
What do you think represents a more typical salary of the organization above? Would you want to work for this company?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.
Mean = Σx / n = 1086000 / 8 = 135750
Median = 1/2(n+1)th term = 8000
The lower quartile :
Q1 = 1/4(n+1)th term
Q1 = 8000
Q3 = 3/4 (n+1)th term
Q3 = 18500
IQR = 18500 - 8000 = 10500
OUTLIER :
8000 - (1.5*(10500)) = - 7750
18500 + (1.5*(10500)) = 34250
10% trimmed mean
10% * 8
Cut off 1 from the top and bottom
Data becomes : 8000, 8000, 11000, 15000, 17000, 20000
Trimmed mean = 13166
why is 8 - -7=15 and not 1
Answers
When you subtract a positive number from a negative number, you will be left with a positive number. Think of it as a way of adding instead of subtracting. When you add 8 and 7, you get 15.
Help please this is pre calculus
Answers
Answer:
5pi/12
105 degrees
Step-by-step explanation:
I can help with the first 2 too many answers in one will get my answer deleted
7pi/12 x 180/pi
7x15=105
Hopes this helps please mark brainliest
Please help me with this
Answers
Answer:
\(\frac{121}{14} = 8\frac{9}{14}\)
Step-by-step explanation:
EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%
Answers
Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.
What happened during emergency repair of $305?4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.
5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.
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Full Question:
See attached image.
Reflect
4. Analyze Relationships One month, the family must make an
emergency car repair for $305. Are they able to pay for it out of the
fixed emergency fund for that month? If not, how can they afford it?
5. The family wants to make a trip to Houston to visit the NASA Space
Center. What are some ways they can save without using all of the
allotted $160 for entertainment
help me do this i will pick brailest if right and it is 45 points!
Answers
Answer:
8/21
Step-by-step explanation:
Answer:
7/24
Step-by-step explanation:
(1x7) / (3x8) = 7/24
And I am sure
y = -2x - 4
y = 4x + 2
Answers
The value of x and y in the given equation is determined -1 and -2 respectively.
Value of x and y
The value of x and y can be determined by solving the two equations simultaneously.
y = -2x - 4 ----- (1)
y = 4x + 2 ----- (2)
solve (1) and (2) together
-2x - 4 = 4x + 2
-6x = 6
x = -1
y = 4(-1) + 2
y = -4 + 2
y = -2
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How do I fully simplify this?
Answers
Explanation
3xy + 4xy + 3xy = 10xy
The others cant be simplified so
10xy + 2y + 8x + 7
Does the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table x 6,8,12,20 y 9,12,18,30
Answers
Answer:
direct variation
Step-by-step explanation:
For direct variation k = \(\frac{y}{x}\) ← k is the constant of variation
For inverse variation k = yx
Expressing the data as ordered pairs
(6, 9), (8, 12), (12, 18), (20, 30)
k = \(\frac{9}{6}\) = \(\frac{12}{8}\) = \(\frac{18}{12}\) = \(\frac{30}{20}\) = \(\frac{3}{2}\) = 1.5 ← indicating direct variation
Equation is
y = kx = 1.5x