The missing number in the equation is 6.
Given,
The sum of 23/6 and five times a number = 13/6 subtracted from six times the number.
We can take the number as x.
Now, the equation is:
23/6 + 5x = 6x - 13/6
Cross multiply both sides:
(23 + (5x × 6)) / 6 = ((6x × 6) - 13) / 6
We get,
(23 + 30x) / 6 = (36x - 13) / 6
Cancel 6 from both sides:
Then,
23 + 30x = 36x - 13
Add 13 to both sides:
23 + 13 + 30x = 36x - 13 + 13
We get,
36 + 30x = 36x
Add -30x to both sides:
36 + 30x - 30x = 36x - 30x
Then,
36 = 6x
x = 36/6 = 6.
That is, the missing number in the equation is 6.
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What is the area of the figure?
Answer: 23.76 sq yds
Step-by-step explanation:
0.5*9.9*4.7=23.76
Area of triangle: 0.5*b*h
How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.
To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.
To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.
Let's consider some factors that could affect the amount they would need to purchase:
Perimeter of the pool:
The length of the fence required would depend on the perimeter of the pool.
If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.
Fence height:
The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.
This would determine the length of fencing material they need to purchase.
Fence type and style:
Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.
The choice of fence material and style will impact the amount they would have to buy.
Gates and openings:
If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.
The number and size of gates would affect the total amount of fencing material needed.
With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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If the odd against the occurence of an event be 4:7 find the proabilty of the occurence of the event.
Answer:
\(Probability = \frac{7}{11}\)
Step-by-step explanation:
Given
\(Odds:Occurence = 4:7\)
Required
Determine the probability of the occurrence
First, we need to get the total of the ratio
\(Total = 4 + 7\)
\(Total = 11\)
Next, is to calculate the required probability as follows;
\(Probability = \frac{Occurrence}{Total}\)
\(Probability = \frac{7}{11}\)
Hence, the required probability is
\(Probability = \frac{7}{11}\)
Suppose N1 can be exchanged for £0.12, what is the value of N12 in pounds?
Answer:
£1.44
Step-by-step explanation:
N1 = £0.12
N12 = 12 × N1 = 12 × £0.12 = £1.44
Los dueños de un restaurante exitoso quieren un préstamo de $50,000 para renovar la cocina y ampliar el comedor. Esperan que las mesas extra agreguen entre $2,000 y $5,000 a los ingresos mensuales del restaurante. El banco está dispuesto a permitir que la empresa tenga un préstamo a plazo intermedio de $50 000 durante cinco años a una tasa de interés del 6,5 por ciento. Calcule el pago mensual y explique si tomar este préstamo es una decisión comercial inteligente.
The monthly Payment for the loan is approximately $271.24.
To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Given:
Loan Amount = $50,000
Interest Rate = 6.5% per year
Number of Years = 5
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:
Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667
Plugging in the values into the formula, we get:
Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))
= $271.24
Therefore, the monthly payment for the loan is approximately $271.24.
The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.
If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.
On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.
Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.
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PLZ HELP FAST I'm pretty sure that the stuff i put in the boxes is correct
Answer:
3(x + 4)- X= 12
Step-by-step explanation:
Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?
Group of answer choices
60
80
200
160
Answer:
200
Step-by-step explanation:
41 x 5 = 205
20% x 5 = 100%
PLEASE HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:
f(x) = 29,000(0.88)x
What does 0.88 represent?
The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%
Answer:
The decrease in the value of the truck, which is 12%
Step-by-step explanation:
f(x) = 29,000(0.88)^x
This is an exponential function of the form
y = ab^x
a is the initial value
b is the growth(decay) rate
x is the time
Since b is less than 1, we know it is decay
To find the rate
1-b = rate
1-.88 = .12
The decay rate is .12*100% = 12 %
Answer:
its A:The decrease in the value of the truck, which is 12%
Step-by-step explanation:
i got this correct
Find the value of xif 2^x=1
Answer:
x = 0
Step-by-step explanation:
hello :
2^x=1 means : 2^x=2^0 because : 2^0 = 1
so : x = 0
Answer:
\(x = 0\)
Step-by-step explanation:
Write the number in exponential form with the base of 2:
\( {2}^{x} = {2}^{0} \)
Since, the base are the same, set the exponents equal:
\(x = 0\)
A rectangular prism has a width of x2 inches and a length of xy2 inches and a height of xy inches.
Which expression represents the volume of the rectangular prism in cubic inches?
2x^2y^2
2xy^3 + 2x^2y
2x^4y^3
x^3y^2
Solve the equation (enter your answers as a comma separated list, use n as an internet constant, enter your response in radians)
We are given the function
\(\begin{gathered} \tan x+\sqrt[]{3}=0 \\ \tan x=-\sqrt[]{3} \\ x=\tan ^{-1}(-\sqrt[]{3}) \end{gathered}\)Therefore,
\(x=\frac{2\pi}{3}+\pi n\)24. Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings.
To compute this probability, we will have to compute how many outcomes are possible for five draws from a deck and how many of these have exactly 3 aces and 2 kings.
Assuming it is a standard deck of 52 cards, we have a total of 4 aces and 4 kings in the deck.
This means that we need to calculate the combinations in two groups and then combine these groups.
The first group are the 3 aces. Since the order doesn't matter, we have a case of "4 choose 3":
\(C_1=\frac{4!}{3!(4-3)!}=\frac{4!}{3!}=4_{}\)The other group are the kings, but we will pick only 2, so it is "4 choose 2":
\(C_2=\frac{4!}{2!(4-2)!}=\frac{4!}{2!2!}=3\cdot2=6\)Now, we want to combine these two groups, we do it by multiplying their possible combinations:
\(C=4\cdot6=24\)So, there are 12 possible hands with 3 aces and 2 kings.
Now, we ned to compute the total possible outcomes. Since we have a deck of 52 cards and will pick 5, this is "52 choose 5":
\(C_a=\frac{52!}{5!(52-5)!}=\frac{52!}{5!47!}=\frac{52\cdot51\cdot50\cdot49\cdot48}{5\cdot4\cdot3\cdot2\cdot1}=\frac{52\cdot17\cdot5\cdot49\cdot12}{1\cdot1\cdot1\cdot1\cdot1}=2,598,960\)Then the probability will be the combinations of the hand we want over the total combinations:
\(P=\frac{24}{2,598,960}=\frac{1}{108,290}\approx0.00000923446301597562\)AD=3, BD=5, AE=4. Find CE
Answer:
6.6
Step-by-step explanation:
Triangles ADE and ABC are similar.
Therefore,
AD/AB=AE/AC
3/8=4/AC
3AC=32
AC=10.6(3 s.f)
CE=10.6-4=6.6
help please A sandwich shop has three kinds of bread, seven types of meat, and four types of cheese. How many different sandwiches can be made using one type of bread, one meat, and one cheese?
Types of combinations of
Bread, Meat , CHeese
How many combinations of B M CH can be made.
There are 3, 7 and 4 types of food , respectively
Made a tree of possibilities
Then, for every 3 , there are 7 possibilities. Multiply both
3 x 7 = 21
And for every 7 , there are 4 possibilities . Multiply then
3x 7 x 4 = 84 possible type of sandwiches
PLEASE HELPPPPPPPP !!!!!!!!!!!!!!1
Answer:
-8.45, 0.95, 8.25
Step-by-step explanation:
The easiest way to do this is to convert the fraction to a decimal, and then compare the values.
8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.
Now, let's compare values.
Numbers we need to compare: -8.45, 0.95, 8.25
The smallest number is -8.45, then 0.95, and lastly, 8.25.
Thus the answer is
-8.45, 0.95, 8.25
Which graph represents the solution of y ≤ x^2 + 1 and x > y^2 – 5?
The graph that represents the given inequalities are attached below.
To find the solution graph of the inequalities y ≤ x² + 1 and x > y² – 5, you would first graph the equations y = x² + 1 and x = y² – 5 separately.
The inequality \(y \leq x^2 + 1\) represents the shaded region below the graph of the equation y = x² + 1.
This region includes the curve and all the points below it.
The inequality x > y² – 5 represents the shaded region to the right of the graph of equation x = y² – 5. This region includes the curve and all the points to the right of it.
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What is the quotient of
8.832
×
1
0
6
8.832×10
6
and
9.6
×
1
0
2
9.6×10
2
expressed in scientific notation?
The quotient of 8.832 × \(10^6\)and 9.6 × \(10^2\), expressed in scientific notation, is 9.2 × \(10^3\).
How to calculate quotient?To calculate the quotient of two numbers in scientific notation, we need to divide the first number by the second number and then adjust the exponent to make sure the result is expressed in scientific notation.
So, we have:
(8.832 × \(10^6\)) / (9.6 × \(10^2\)) = 0.920
We must move the decimal point to the right until we have a number between 1 and 10, and then adjust the exponent accordingly, in order to express the result in scientific notation. We can get: by moving the decimal point two places to the right in this case.
0.920 = 9.20 × \(10^{-1}\)
Therefore, the quotient of (8.832 × \(10^6\)) / (9.6 × \(10^2\)) expressed in scientific notation is 9.20 ×\(10^{-1}\).
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The ratio of 10 waffles to 6 eggs.
Answer:
5 : 3Step-by-step explanation:
The ratio of 10 waffles to 6 eggs.
10 : 6
smplify
5 : 3
Answer:
10:6 or 20:12
Step-by-step explanation:
If you are looking for an equivalent ratio of 10:6, multiply by 2 to both numbers.
Hope this helps!
What is the slope in the equation: y = 8x - 10?
A 10
B 8
C -8
D -10
Answer:
Hey There!
Let's solve...
Given here, equation is y=8x-10
So to find the slope, we have to follow the process given below...
\(y = mx + b \\ \\ \)
Here... m is the slope and b is the y-intercept
So
\(y = 8x - 10 \\ \\ \)
Here slope is 8 and y intercept is 10...
I hope it is helpful to you...Cheers!___________Can you please help me solve?
The zeros of the polynomial function are x = -1 and x = 5
Finding the zeros of the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
y = x⁴ - 4x³ - 4x² - 4x - 5
To calculate the zeros of the polynomial function, we create a graph of the polynomial
The point where the graph intersect with the x-axis are the zeros of the polynomial function
using the above as a guide, we have the following:
Zeros: x = -1 and x = 5
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Which coordinate is a zero of the function defined by 3x^2 – 15x – 18?
Answer:
\(3 {x}^{2} - 15x - 18 = 0\)
\( {x}^{2} - 5x - 6 = 0\)
\((x + 1)(x - 6) = 0\)
x = -1 or x = 6
The coordinates of the zeroes are (-1, 0) and (6, 0).
Help help math math math math
Answer:
y=2/1+7
Step-by-step explanation:
3(2x + 1) = 7x-2
What is x
Answer:
x=-5
Step-by-step explanation:
3(2x+1)=7x-2
6x+3=7x-2
6x-7x=-2-3
x=-5
3(2x + 1) = 7x-2
3*2x+3*1=7x-2
6x+3=7x-2
6x-7x=-3-2
-1x=-5
x=5
Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
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what is the 40th term of the arithmetic sequence 13, 26, 39, 52
Answer:
your answer would be 520
Step-by-step explanation:
13 x 40 = 520
What’s the correct answer for this question?
Answer:
3724 in^3
Step-by-step explanation:
19 times 14 times 14 = 3724
Answer:
3724 inches ³
Step-by-step explanation:
Volume of cooler = whl
Where w is width, h is height and l is length
V = (19)(14)(14)
V = 3724 inches³
Iris is a working freelancer and has been tracking her monthly income for the last four months she found out that she made $2700 $4600 $3550 and $1700 when making her budget what income value should she use
Iris should use an income value of approximately $3,137.50 when making her budget.
When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.
To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:
$2700 + $4600 + $3550 + $1700 = $12,550
Next, dividing the total income by four (the number of months), we find:
$12,550 / 4 = $3,137.50
Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.
It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.
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The probable question may be:
Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?
a) given any set of seven integers, must there be at least two that have the same remainder when divided by 6? to answer this question, let a be the set of 7 distinct integers and let b be the set of all possible remainders that can be obtained when an integer is divided by 6, which means that b has elements. hence, if a function is constructed from a to b that relates each of the integers in a to its remainder, then by the ---select--- principle, the function is ---select--- . therefore, for the set of integers in a, it is ---select--- for all the integers to have different remainders when divided by 6. so, the answer to the question is ---select--- . (b) given any set of seven integers, must there be at least two that have the same remainder when divided by 8? if the answer is yes, enter yes. if the answer is no, enter a set of seven integers, no two of which have the same remainder when divided by 8.
Given any set of seven integers, there are no two numbers that have the same remainder when divided by 6.
The remainder is the value left after the division. If a number is not completely divisible by another number then we are left with a value once the division is done. This value is called the Remainder.
Given any set of seven integers, there must be at least two numbers that have the same remainder when divided by 6.
So there can be six remainders when divided by 6 i.e. 0,1,2,3,4 and 5.
According to the Pigeonhole principle,
in any set of seven integers, two must have the same remainder when divided by seven.
Consider the set of integers 0,1,2,3,4,5 and 66. All of these have different remainders upon division by 8.
Hence there need not be two numbers such that they have the same remainders when divided by 6.
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