Susan paid $240 to have her house decorated. The materials used to decorate the house coast $115, and service was charged at $5 an hour. How many hours was the house worked on?
Answer:
\( 240 =5x +115\)
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
\( 240-115= 5x\)
\( 125 = 5x\)
And now we can divide both sides by 5 and we got:
\( x= 25\)
So then the number of hours spent to decorate the house are 25
Step-by-step explanation:
Based on the information given we can model this function with this formula:
\( y = mx+b\)
Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:
\( 240 =5x +115\)
And we can solve for x in order to find the number hours using to decorate the house.
We can subtract in both sides 115 and we got:
\( 240-115= 5x\)
\( 125 = 5x\)
And now we can divide both sides by 5 and we got:
\( x= 25\)
So then the number of hours spent to decorate the house are 25
find the median of the data of 10, 15 , 6
Answer:
10 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
10 is the median of the given data....
4. What is the value of x?
44
24°
12xº
A. x = 2
B. x = 5.5
C. X = 12
D. x = 36
Answer:
2
Step-by-step explanation:
if angle = 24=12x
then x = 2
When simplifying an algebraic expression, we are allowed to combine "like terms.” How do we know when two or more terms are “like”?
Answer:
Like terms mean that they have the same power/exponent, variable, or normal numbers. Like,
2 , 3 are like terms
2² , 5² are like terms
\(x^{3}\) , \(x^{2}\) are not like,
y, v are not like,
y , y are like
If my answer helped, please mark me as the brainliest!
Thank You !
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
Step-by-step explanation:
Part A= 59.11
Part B: i think is B
I hope this helps :))
Answer:
Step-by-step explanation:
Part A : 59.11
Part B: the answer is B. You keep the same amount of decimal places in the problem in your product. we had 2 so we have 2 decimal places in 5911 ---> 591.1 --->59.11
What is the limit of (n!)^(1/n) as n approaches infinity?
Note: n! means n factorial, which is the product of all positive integers up to n.
Answer:
Step-by-step explanation:
To find the limit of (n!)^(1/n) as n approaches infinity, we can use the Stirling's approximation for n!, which is:
n! ≈ (n/e)^n √(2πn)
where e is the mathematical constant e ≈ 2.71828, and π is the mathematical constant pi ≈ 3.14159.
Using this approximation, we can rewrite (n!)^(1/n) as:
(n!)^(1/n) = [(n/e)^n √(2πn)]^(1/n) = (n/e)^(n/n) [√(2πn)]^(1/n)
Taking the limit as n approaches infinity, we have:
lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n)
Using the fact that lim a^(1/n) = 1 as n approaches infinity for any constant a > 0, we can simplify the second term as:
lim [√(2πn)]^(1/n) = 1
For the first term, we can rewrite (n/e)^(n/n) as [1/(e^(1/n))]^n and use the fact that lim a^n = 1 as n approaches infinity for any constant 0 < a < 1. Thus, we have:
lim (n/e)^(n/n) = lim [1/(e^(1/n))]^n = 1
Therefore, combining the two terms, we have:
lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n) = 1 x 1 = 1
Hence, the limit of (n!)^(1/n) as n approaches infinity is 1.
Answer:1
Step-by-step explanation:
A bank offers a CD that pays a simple interest rate of 7.0%. How much must you put in this CD now in order to have $4500 for a home-entertainment center in 5 years.
The present value that must be invested to get $4500 after 5 years at an interest rate of 7.0% is $__ (Round up to the nearest cent.)
Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.
To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:
Present Value = Future Value / (1 + (Interest Rate × Time))
In this case:
Future Value = $4500
Interest Rate = 7.0%
= 0.07
Time = 5 years
Substituting these values into the formula:
Present Value = $4500 / (1 + (0.07 × 5))
Present Value = $4500 / (1 + 0.35)
Present Value = $4500 / 1.35
Present Value ≈ $3333.33
You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:
Future Value / (1 + (Interest Rate Time)) = Present Value
In this instance
$4500 is the future value.
Rate of Interest = 7.0% = 0.07
t = 5 years
Substituting these values into the formula:
$4500 / (1 + (0.07 5)) = Present Value
$4500 / (1 + 0.35) equals the present value.
Present Value = $4500 / 1.35
For similar questions on invested
https://brainly.com/question/25893158
#SPJ8
The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33
How to find the present value that must be invested to get $4500 after 5 yearsUsing the formula for calculating the future value of a single sum:
Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)
We rearrange the formula to solve for the present value (PV):
PV = FV / (1 + Interest Rate * Time)
Plugging in the given values:
FV = $4500
Interest Rate = 7.0% = 0.07
Time = 5 years
PV = $4500 / (1 + 0.07 * 5)
PV = $4500 / (1 + 0.35)
PV = $4500 / 1.35
PV ≈ $3333.33
Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).
Learn more about present value at https://brainly.com/question/20813161
#SPJ1
Juan wrapped 2 presents every 16 hours. At that rate, how long, in
hours, will it take to wrap 4 presents?
Answer:
Since it took Juan 16 hours to wrap 2 presents, it will take Juan 32 hours.
1 present- 8 hours
2 present- 16 hours
3 present- 24 hours
4 present- 32 hours
Answer:
32
Step-by-step explanation:
4 divided by 2 is 2
2 time 16 is 32
awnser is 32 stop deleting my stuff
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
To learn more about the quadratic equation;
https://brainly.com/question/17177510
#SPJ1
HELP !! It’s due in 30 minutes!!
Answer:
T< 11,3 > / a translation by 11 units to the right and 3 units up :]
Answer:
11 units to the right & 3 units down.
Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
for such more question on equation
https://brainly.com/question/17482667
#SPJ8
the slope of the line that passes through the points (2,3) and (5,9) is
Answer:
The slope is 6/3 or simplified is 2
Step-by-step explanation:
Stick to this formula
y2-y1/
x2-x1
9-3/
5-2 = 6/3 or 2
See attachment for further explanation
Hope this helps (:
The slope of the line that passes through (2, 3)(5, 9) is 2
Slope formula is describe below:m = y₂ - y₁ / x₂ - x₁Therefore, the slope of the line that passes through the points (2, 3)(5, 9) can be found as follows;
y₁ = 3
y₂ = 9
x₁ = 2
x₂ = 5
m = 9 - 3 / 5 - 2
m = 6 / 3
m = 2
slope = 2
Therefore, the slope of the line that passes through (2, 3)(5, 9) is 2
learn more on slope:https://brainly.com/question/6639603?referrer=searchResults
5h-6-8+7h what’s the answer ?
1. Oceanside Bike Rental Shop charges $16 plus $6 an hour for renting a bike. Melanie paid $70 to rent a bike. How many hours did she pay to have the bike checked out? Select the correct equation to represent this situation.
A) 16x+6x=70
B) 16+ 6x=70
C) 16x+6=70
2. Jason bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 42 cards left. How many cards did Jason start with? Select the correct equation to represent this situation.
A) 1/2(x+9)=42
B) 9x+1/2=42
C) 1/2x+9=42
3. Jason sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with? Select the correct equation to represent this situation.
A) 1/2(x+6)=17
B) 1/2x+6=17
C) 1/2x+6x=17
4. Dan spent half of his allowance going to the movies. He washed the family car and earned $9. What is his weekly allowance if he ended with $15? Select the correct equation to represent this situation.
A) 1/2x+9=15
B) 1/2(x+9)=15
C) 9-1/2x=15
Answer:
1 = C
2 = B
3 = B
4= C
Step-by-step explanation:
Im not 100% sure but.. i tried
Answer:sike i lied i must provide
Step-by-step explanation: its ez just do it
2x + 5y = 17
what is x
what is y
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
If (x + 8) is a factor of f(x), which of the following must be true?
Both x = -8 and x = 8 are roots of f(x).
Neither x = -8 nor x = 8 is a root of f(x).
fl-8)=0
f(8) = 0
Answer:
\(x = -8\) is a root.
\(f(-8) = 0\) is correct.
Step-by-step explanation:
As
\((x + 8)\) is a factor of \(f(x)\)
then it must be
\(x = -8\) is a root.
Therefore,
\(f(-8) = 0\) is correct.
HELP AS SOON AS POSSIBLE PLEASE
A scatter plot, because it would show the association, or relationship, between the two variables
How to determine the most appropriate to construct for the dataFrom the question, we have the following parameters that can be used in our computation:
The table of values
To show the relationship and association between data values, the data values are best represented on a scatter plot
using the above as a guide, we have the following:
The most appropriate to construct for the data is (b)
Read more about scatter plot at
https://brainly.com/question/30488224
#SPJ1
find the work done of a moving particle in the surface center c(0,0,3) of radiu r=5, on the plane z=3 if the force field F = (2x +y_2Z)i + (2x_4y+Z)j (x-2y-Z²) k
Answer:
75 - 25π.
Step-by-step explanation:
To find the work done by a force field on a particle moving along a curve, we use the line integral of the force field over that curve.
In this case, the curve is a circle of radius 5 centered at (0, 0, 3) lying on the plane z = 3. We can parameterize this curve using polar coordinates as:
r(t) = (5cos(t), 5sin(t), 3), where t goes from 0 to 2π.
The differential of the curve, dr(t), is given by:
dr(t) = (-5sin(t), 5cos(t), 0) dt
Now we need to calculate the work done by the force field F along this curve. The line integral of F over the curve is given by:
W = ∫ F · dr = ∫ (2x +y²Z)dx + (2x-4y+Z)dy + (x-2y-Z²)dz
Substituting x = 5cos(t), y = 5sin(t), and z = 3, we get:
W = ∫ (10cos(t) + 25sin²(t)·3) (-5sin(t))dt
∫ (10cos(t) - 20sin(t) + 3) (5cos(t))dt
∫ (5cos(t) - 10sin(t) - 9) (0)dt
Simplifying, we get:
W = -75∫sin(t)cos(t)dt + 50∫cos²(t)dt + 0
Using the trigonometric identities sin(2t) = 2sin(t)cos(t) and cos²(t) = (1 + cos(2t))/2, we can simplify this further:
W = -75∫(1/2)sin(2t)dt + 25∫(1 + cos(2t))dt
= -75·(1/2)·(-cos(2t))∣₀^(2π) + 25·(t + (1/2)sin(2t))∣₀^(2π)
= 75 - 25π
Therefore, the work done by the force field F on the particle moving along the circle of radius 5 centered at (0, 0, 3) lying on the plane z = 3 is 75 - 25π.
Find the following measure for this figure.
Volume =
Answer:
91 2/3 pi cubic units
Step-by-step explanation:
The formula for the volume of cone is \(\dfrac{1}{3}\pi r^2 h\). Plugging in the given numbers, you get:
\(\dfrac{1}{3}\cdot \pi \cdot 5^2 \cdot 11= 91 \ 2/3 \pi\)
Hope this helps!
Answer:
\(Volume=\frac{1}{3} \,275\,\pi\) cubic units
Notice that this answer doesn't agree with any of the first three in the list provided via the screenshot
Step-by-step explanation:
Recall the formula for the volume of a cone:
\(Volume=\frac{1}{3} Base\,*\,Height\)
In this case the Height is 11 units, and they also give us the radius of the circular base (5 units) from which we can find the circle's base area:
\(Area_{circle} = \pi\,R^2\\Area_{circle}=\pi\,(5)^2\\Area_{circle}=25 \pi\)
therefore the total volume becomes:
\(Volume=\frac{1}{3} Base\,*\,Height\\Volume=\frac{1}{3} 25\,\pi\,*\,11\\\\Volume=\frac{1}{3} \,275\,\pi\)
Consider the following natural language sentence: If you see a penny, pick it up, all day long you'll have good luck. Which answer is a translation of this natural language sentence into formal logic? a.) S = You see a penny. P = You pick the penny up. G = All day long you'll have good luck. (SAP) ➡ G
The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.
In formal logic, we often use symbolic notation to represent statements and their logical relationships.
In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.
The translation provided uses three variables:
S represents the statement "You see a penny."
P represents the statement "You pick the penny up."
G represents the statement "All day long you'll have good luck."
The arrow (➡) is a logical connective that represents implication.
It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).
To learn more on translation click:
https://brainly.com/question/31096294
#SPJ1
Please help me I need to get this right
Answer:
try the second one on top
Step-by-step explanation:
If a system of equations has one solution, the system is ___ and the equations are ___options - inconsistent, consistentoptions - dependent, independent
Given the statement:
If a system of equations has one solution, the system is ___ and the equations are ___
The system has one point of solution, the system will be called consistent
Because it will intersect at one point so, it will be independent
So, the answer will be: consistent, independent
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
To know more about Percentage:
https://brainly.com/question/29306119
#SPJ2
HELPPPPPPPPPPP APPARENTLY MY ANSWER WAS WRONG
Answer:
d= -12 + 925
Step-by-step explanation:
decrease means negative and Increase means up (positive) so probably that why your answer was wrong
Answer:
d= -12 + 925
Step-by-step explanation:
Draw an abacus and illustrate this expression 4×8⁴+2×8²+4×8⁰ on it
According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.
How to illustrate this value on an abacus?To illustrate this value on an abacus we must find the number of this operation as shown below:
4 * 8⁴ + 2 * 8² + 4 * 8⁰4*4,096 + 2*64 + 4*116,384 + 128 + 416,516Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:
ten thousand = 10,000thousand units = 6,000hundreds = 500tens = 10units = 6Learn more about abacus in: https://brainly.com/question/13385199
#SPJ1
The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
More can be learned about fractions at brainly.com/question/1622425
#SPJ1
If Allison pays with a $50 bill, how much change will she have?
Answer:
$29
Step-by-step explanation:
30(1/5) = 6
30 - 6 = 24
30(1/10) = 3
24 - 3 = 21
50 - 21 = 29
(Nvm i realized i was wrong)
Starting at 18, you want to save $50 000 by 30 years old. Create a plan to make this happen
Answer:
Step-by-step explanation:
You might want to be saving money by using less energy and less water by not growing plants. You can also buy only essential items and leave the items you want for later. You can also get a car that uses less gas per gallon.
Answer:
Don’t but junk food, anything from a deli/store. Don’t waste water or gas. But things that you will actually use and will last for looong time. Put your money into a savings account. Just don’t buy anything that not nesscary even if it looks cool, save your money. Find cheap but good quality (ex. Apartment, furniture, etc.).
Step-by-step explanation:
Find all relative extrema in the function h(x)=cos((2π/3)x) on the interval [0, 2]
Find all ABSOLUTE extrema in the function h(x)=cos((2π/3)x) on the interval [0, 2]
HELP!!!
a) The relative extrema of the function h(x)=cos((2π/3)x) on the interval [0, 2] are given as follows:
Local minimum: (1.5, -1).Local maximum: (0,1).b) The absolute extremas of the function h(x)=cos((2π/3)x) on the interval [0, 2] are given as follows:
Minimum: (1.5, -1).Maximum: (0,1).What are relative extrema and absolute extrema?Relative extrema are all the turning points on the graph of a function, which are the points in which the derivative of the function is zero, hence the function behavior's may change from increasing to decreasing or vice versa.
From the graph given by the image at the end of the answer, the extremas of the function are given as follows:
Local maximum: (0,1), as the function changes from increasing to decreasing.Local minimum: (1.5, -1), as the function changes from decreasing to increasing.These are also the absolute extremas, as there are only one minimum extrema and one maximum.
If there were multiple extremas, we would have that:
The absolute minimum is the local minimum with the lowest value of y.The absolute maximum is the local maximum with the highest value of y.More can be learned about relative and absolute extrema at https://brainly.com/question/13602432
#SPJ1
At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?
Answer:
266.65
Step-by-step explanation:
65% of 60 = 39 sandwiches sold
85% of 40 = 34 baguettes sold
all Jacket potatoes sold 3.25 x 25
34 x 2.70
39 x 2.40
add the total and comes to 266.65