The price of a pair of shoes is $52. The price is 15% lower than last week. What was the price of the shoes last week? Round your answer to the nearest cent. Enter your answer in the box. $
Answers
The original price of the shoes can be found by dividing the current price, $52, by 0.85, which yields an original price of approximately $61.18.
The current price of a pair of shoes is $52, which is 15% lower than it was last week. To find the original price, you can set up an equation where the original price minus 15% of the original price equals the current price of $52.
Let x represent the original price. The equation is then x - 0.15x = $52. Simplify this to 0.85x = $52. Divide both sides by 0.85 to solve for x.
x = $52 / 0.85
x = $61.18
Therefore, the price of the shoes last week was approximately $61.18.
Related Questions
How many steps does it take to complete 0.1 km?
Answers
Answer:1250
Step-by-step explanation:
A line contains the points (−26, −37) and (−32, −61) .
What is the slope of the line in simplified form?
Answers
The slope of the line is given by:
y₂ - y₁ / x₂ - x₁
61 - (-37) / -32 - (-26)
61 + 37 / -32 + 26
98 / -6
-(49/3) ⇒ This is the simplified form
Answer:
the answer should be 4, you left the - off of the 61
Step-by-step explanation:
how do you solve this?
Answers
What method can researchers employ in order to counter bias in their sampling?
a. snowball sampling
b. weighting
c. convenience sample
d. non-random surveying
Answers
Researchers can use b) weighting to counter bias in their sampling, which adjusts sample representation to match a desired population. While convenience sampling offers easy data collection, it lacks generalizability, and weighting is necessary to enhance the validity of findings.
To counter bias in their sampling, researchers can employ a method known as b) weighting. This technique adjusts the representation of samples to match a desired population, countering potential biases that may arise from non-random sampling methods such as convenience sampling. It is important to distinguish between non-random sampling methods that are potentially biased and strategies that are used to ensure data accuracy and representativeness.
Convenience sampling, also referred to as availability sampling or haphazard sampling, is a nonprobability sampling strategy where researchers collect data from individuals or elements that are most easily accessible. This approach is useful in exploratory research or student projects where probability sampling is too costly or difficult but does not offer the rigor needed to make generalizations to larger populations. To overcome these limitations and enhance the validity of their findings, researchers may adjust their data using weighting to better reflect the population being studied.
The ratio of the number of cats to the number of dogs in an animal shelter was 2:3. After 120 cats were adopted, the ratio of the number of cats to the number of dogs became 3:7. Find the total number of cats and dogs in the animal shelter in the end?
Answers
The function f(x)=400(1.5)xf(x)=400(1.5)x models an insect population after x months. How does the average rate of change between Months 2 and 4 compare to the average rate of change between Months 0 and 2?
The average rate of change is 2.25 times as fast.
The average rate of change is 2 times as fast.
The average rate of change is 3.125 times as fast.
The average rate of change is 1.5 times as fast.
Answers
Answer:
The answer is 2.25 times as fast. I just did this one
Step-by-step explanation:
There are total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotics club. How many students are in the science club?
Answers
Robotics Club = x
Science Club = (x + 12)
Total = 84
Okay, so here's the equation:
x + (x + 12) = 84 ~ Add like terms.
2x + 12 = 84 ~ Subtract 12 by both sides.
2x = 72 ~ Divide both sides by 2.
x = 36 ~ Meaning that the Robotics Club has 36 members.
At this point you can do: 84 - 36 = 48 which gives you the number of members in the Science Club, though...:
36 + (36 + 12) = 84 ~ Add the two in the parenthesis to get your answer.
36 + 48 = 84 ~ 48 is the number of Students in the Science Club.
84 = 84
In conclusion: The Science Club has 48 students.
Hope that helps. ^ ^
{-Ghostgate-}
By setting up an equation and solving for the number of students in each club, we find there are 48 students in the science club.
To solve the problem, we can set up an equation based on the information given. Let the number of students in the robotics club be represented by x.
According to the problem, the science club has 12 more students than the robotics club, so the science club has x + 12 students. We also know that there are a total of 84 students in both clubs combined. Therefore, we can set up the following equation:
x + (x + 12) = 84
Combining like terms, we have:
2x + 12 = 84
Subtracting 12 from both sides gives us:
2x = 72
Dividing both sides by 2 gives us:
x = 36
So, there are 36 students in the robotics club. To find the number of students in the science club, we add 12 to the number of students in the robotics club:
36 + 12 = 48
Therefore, there are 48 students in the science club.
Which is NOT a way to state the meaning of the expression h + 7?
A-7 more than a number
B-A number added 7 times
C-A number increased by 7
D-7 is added to a number
Answers
......................
Which situations can be represented by a linear function?
Select each correct answer.
Every day, the number of bacteria in the dish is 3 times what it was the previous day.
Every year, Luisa puts $10 into her savings account.
A country's population increases by 0.8% each year.
The barrel leaks 0.5 L of water each day.
Answers
The barrel leaks 0.5 L of water each day.
Every year, Luisa puts $10 into her savings account.
Linear functions represent situations with a constant rate of change. Saving $10 every year and a barrel leaking 0.5 L of water each day are examples of linear relationships due to this constant change.
Situations that can be represented by a linear function are those where the rate of change remains constant. Let's analyze the given situations according to this condition:
Every year, Luisa puts $10 into her savings account. This describes a constant rate of change, with $10 being added each year, which can be represented by a linear function.The barrel leaks 0.5 L of water each day. Here, the change in water level is constant (0.5 L per day), also indicative of a linear relationship.These two scenarios fit the criteria for being linear because they involve a constant rate of change over time. On the other hand, scenarios like the exponential growth of bacteria or percentage-based population growth are not linear since the rate of change is not constant; these would be represented by exponential functions.
Divide. Write each quotient in simplest form.
2/3 ÷ 2 = _____ Show step-by-step solution.
Answers
[tex] \frac{2}{3} [/tex] ÷ 2 = [tex] \frac{2}{3} [/tex] ÷ [tex] \frac{2}{1} [/tex]
If [tex] \frac{a}{b} [/tex] ÷ [tex] \frac{c}{d} [/tex] = [tex] \frac{a*d}{b*c} [/tex], then:
[tex] \frac{2}{3} [/tex] ÷ [tex] \frac{2}{1} [/tex] = [tex] \frac{2*1}{3*2} [/tex]
Now, 2 can be canceled out from [tex] \frac{2*1}{3*2} [/tex] :
[tex]\frac{2*1}{3*2}= \frac{1}{3} [/tex]
Which number is a perfect cube? a.21 b.49 c.343 d.600
Answers
Answer:
343
Step-by-step explanation:
7*7*7=343
The factor of the 343 will be 7, 7, and 7. Then the number 343 is a perfect cube of 7.
What is a perfect cube?The integers that are the threefold multiplication with the same number are known as perfect cubes.
To put it another way, a perfect cube is the combination of complex times multiplying a whole integer by itself.
A perfect cube is a quantity that may be stated as the composition of three different numbers.
A. The factor of the 21 will be 3 and 7. It can not be a perfect cube.
B. The factor of the 49 will be 7 and 7. It can not be a perfect cube.
C. The factor of the 343 will be 7, 7, and 7. It is a perfect cube.
D. The factor of the 600 will be 2, 2, 2, 3, 5, and 5. It can not be a perfect cube.
More about the perfect cube link is given below.
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How to solve this please help
Answers
90 + 5x - 2 + 3x + 4 = 180
Then you'd simplify the parts on the left:
92 + 8x = 180
And then you solve:
92 + 8x = 180
- 92
8x = 88
÷ 8
x = 11
Hope this helps!
Your medical bill is $2345. Your health insurance covers 70% after a $120 deductible. What amount of the bill will you pay?
Answers
After that we have to calculate 30 % of $2,225, because the health insurance covers 70 % ( 100 % - 70 % = 30 % ).
$2,225 * 30/100 = $667.50
Answer:
It is $787.50.
Which of the following values is equal to 1 micrometer?
A. 0.000001 meter
B. 0.001 meter
C. 1,000 meter
D. 1,000,000 meter
Answers
so the answer is A. 0.000001 meter
if h(x)=-1/2x+3, find h(-29)
Answers
h(-29)=-1/2(-29)+3
h(-29)=29/2+3
h(-29)=-11.5
h(-29)=-1/2(-29)+3
don't forget that mulitplying 2 negatives makes a positive
h(-29)=29/2+3
h(-29)=14.5+3
h(-29)=17.5
find the amount that results from each. $50 invested at 6% compounded monthly after a period of 3 years ...?
Answers
Final answer:
Using the compound interest formula, the total amount after three years for $50 invested at 6% compounded monthly is approximately $59.70.
Explanation:
To calculate the future value of $50 invested at 6% compounded monthly after a period of three years, we use the formula for compound interest:
FV = P × (1 + (r/n))³⁼ ×⁴
where:
FV is the future value of the investment,
P is the principal amount ($50),
r is the annual nominal interest rate (6% or 0.06),
n is the number of times the interest is compounded per year (12, for monthly compounding),
t is the time the money is invested for, in years (3 years).
Using these values, we calculate as follows:
FV = $50 × (1 + (0.06/12))³·×´ = $50 × (1 + 0.005)·¹·´
Now we calculate this raised to the power of 36 (3 years times 12 months):
FV = $50 × (1.005)³···¶ = $50 × 1.194052
Thus, FV ≈ $59.70
The total amount after three years would be approximately $59.70, assuming the interest is compounded monthly at a rate of 6%.
how much is 2/7 of 1 and 3/4
Answers
Answer:
0.5 or half of it (1/2)
You have a 32-foot fence around a square garden. You paint 1/3 of one side of the fence. What fraction of the fence did you paint?
Answers
The perimeter of a square garden with side s is:
P = 4s
s = 1/4P
Since it is painted 1/3 of 1/4 of the fence, the fraction of the painted fence is:
1/3 * 1/4 = 1/12
how are the variables related on the graph?
A. As speed decreases, height stays constant
B. As speed deceases , height increases
C. As speed increases , height decreases
D. As speed increases , height increases
Answers
Answer:
The answer to this question is
As speed increases the height Increases
Step-by-step explanation:
Because increases mean going up so when the speed is going up the height of the speed also increases so that's why when the speed increases also the height increases
I hope this works
YW!
The correct explanation of the graph will be;
''As speed increases, height is decreases.''
Option D is true.
What is an mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph is shown in figure for the relation of height and speed.
Since, The graph is shows when the speed of any object increase, then its height will also be increase.
Thus,
The correct explanation of the graph will be;
''As speed increases, height is decreases.''
Learn more about the constant graph visit:
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Blake has more than five friends.
Let f represent the number of Blake's friends.
Which inequality describes the number of Blake's friends?
f < 5
f > 5
f ≤ 5
f ≥ 5
Answers
Answer: The correct option is (B) [tex]f>5.[/tex]
Step-by-step explanation: Given that Blake has more than five friends.
We are to select the inequality that describes the number of Blake's friends.
The number of Blake's friends is represented by f.
According to the given information, we have
the inequality that describes the number of Blake's friends is given by
[tex]f>5.[/tex]
Thus, (B) is the correct option.
What is the domain and range for the function below?
1/square root x+4
Answers
Domain:
[tex]\sqrt{x+4} \ne 0 \\ x+4 \ne 0 \\x \ne -4[/tex]
Range: [tex]\sqrt{x+4}\ \textgreater \ 0 \Rightarrow \frac{1}{\sqrt{x+4}} \ \textgreater \ 0 \Rightarrow y\ \textgreater \ 0[/tex]
If p(x) = x2 – 1 and q(x)=5(x-1), which expression is equivalent to (p – q)(x)?
5(x – 1) – x2 – 1
(5x – 1) – (x2 – 1)
(x2 – 1) – 5(x – 1)
(x2 – 1) – 5x – 1
Answers
p ( x ) = x² - 1 and q ( x ) = 5 ( x - 1 )
( p - q ) ( x ) = ( x² - 1 ) - 5 ( x - 1 )
Answer:
C ) ( x² - 1 ) - 5 ( x - 1 )
The drawing of a building, shown below, has a scale of 1 in to 30 ft. what is the actual height, in ft, of the building
Answers
Given a polynomial f(x), if (x + 3) is a factor, what else must be true?
Answers
What applies here is one of the laws of the factorization of polynomials, called the factor theorem and it states that:
For a polynomial f(x) , if for any value a, f(a) =0 then (x-a) is factor of f(x)
Example:
Consider the polynomial
[tex]f(x) = x^{3} - 3x^{2} - 8x+4[/tex]
For a =3,
[tex]f(a) = (3)^{3} - 3(3)^{2} - 8(3)+24[/tex]
= 27-27-24+24 = 0
f (3)= 0
which means (x-3) is a factor of f(x)
Applying the above rule to the question:
if (x + 3) is a factor of a polynomial f(x), then f(-3) = 0
note that (x+3) can also be written as (x- (-3)).
Which function has a removable discontinuity?
a. g(x)=(2x-1)/(x)
b. p(x)=(x+2)/(x²-x-2)
c. f(x)=(5x)/(x-x²)
d. h(x)=(x²-x+2)/(x+1) ...?
Answers
The function [tex]\( f(x) = \frac{5x}{x-x^2} \)[/tex] has a removable discontinuity at ( x = 0 ) after canceling the common factor [tex]\( x \).[/tex]
A removable discontinuity occurs at a point where a function is not defined due to a factor in the denominator that could be canceled out with a factor in the numerator.
Let's analyze each function to determine if any of them have a removable discontinuity.
[tex]a. \( g(x) = \frac{2x-1}{x} \)[/tex]
- The denominator ( x ) is zero at ( x = 0 ).
- The numerator ( 2x-1 ) is non-zero at ( x = 0 ).
- Since there is no common factor in the numerator and denominator that could cancel out, the discontinuity at ( x = 0 ) is not removable.
[tex]b. \( p(x) = \frac{x+2}{x^2-x-2} \)[/tex]
- The denominator [tex]\( x^2-x-2 \) factors as \( (x-2)(x+1) \).[/tex]
- The function becomes [tex]\( p(x) = \frac{x+2}{(x-2)(x+1)} \).[/tex]
- The denominator is zero at ( x = 2 ) and ( x = -1 ).
- The numerator ( x+2 ) is zero at ( x = -2 ).
- There is no common factor between the numerator and the denominator that could be canceled out. So, the discontinuities at [tex]\( x = 2 \) and \( x = -1 \)[/tex] are not removable.
[tex]c. \( f(x) = \frac{5x}{x-x^2} \)[/tex]
- The denominator [tex]\( x-x^2 \) factors as \( x(1-x) \).[/tex]
- The function becomes [tex]\( f(x) = \frac{5x}{x(1-x)} = \frac{5x}{x-x^2} \).[/tex]
- The denominator is zero at x = 0 and x = 1 .
- The numerator ( 5x ) is zero at ( x = 0 ).
- There is a common factor of ( x ) in the numerator and denominator which could be canceled out, making the discontinuity at ( x = 0 ) removable.
- After canceling the common factor ( x ), the function becomes [tex]\( \frac{5}{1-x} \),[/tex] which is defined at ( x = 0 ).
[tex]d. \( h(x) = \frac{x^2 - x + 2}{x + 1} \)[/tex]
- The denominator ( x + 1 ) is zero at ( x = -1 ).
- The numerator [tex]\( x^2 - x + 2 \) is not zero at \( x = -1 \).[/tex]
- There is no common factor in the numerator and denominator that could be canceled out, so the discontinuity at ( x = -1 ) is not removable.
Conclusion
The function [tex]\( f(x) = \frac{5x}{x-x^2} \)[/tex] has a removable discontinuity at ( x = 0 ), because the discontinuity can be removed by canceling the common factor ( x ) in the numerator and the denominator.
So, the correct answer is:
[tex]c. \( f(x) = \frac{5x}{x-x^2} \)[/tex]
The midpoint of a segment is (2,-5) and one of the end points is (3,6). Where is the other endpoint?
Answers
f a computer costs $600.00 and the sales tax rate is 7.5 percent, what is the total cost of the computer?
Answers
The total cost would therefore be 107.5%
600/100 * 107.5 = 645.
The total cost is $645
As per linear equation, the total cost of the computer is $645.00.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
Given, the cost of computer is $600.00.
The sales tax rate is 7.5%.
Therefore, the total cost of the computer is
= $[tex][600.00 + \frac{(7.5)(600.00)}{100}][/tex]
= $[tex][600.00 + 45.00][/tex]
= $[tex]645.00[/tex]
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use the table below to find (FoG)(1)
x 0 1 2 3 4 5 6 7
f(x) 5 7 9 11 13 15 17 19
g(x) 3 6 9 12 15 18 21 24
Answers
F(1)=7, and G(1)=6, so (FoG)(1)=F(G(1))=F(6)=17
Answer:
value of [tex](f o g)(1)[/tex] is, 17
Step-by-step explanation:
We have to find the [tex](f o g)(1)[/tex]
Using the given tables;
[tex](f o g)(1) = f(g(1))[/tex] ......[1]
At x = 1
g(1) = 6
Substitute this in [1] we have;
[tex](f o g)(1) = f(6)[/tex]
At x = 6
f(6) = 17
then;
[tex](f o g)(1) = 17[/tex]
Therefore, the value of [tex](f o g)(1)[/tex] is, 17
Write 796.384 in expanded form
Answers
Is 5 a prime composite or neither
Answers
Answer:
Prime
Step-by-step explanation:
Its factors are:1 and itself.
ALL prime numbers have the same 2 factors: 1 and itself.