The cost of 12¼ m of cloth is 212.3 rupees.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
We have been given that 1 m of cloth costs rupees 17⅓.
We have to determine the cost of 12¼ m of cloth.
Let the cost of 12¼ m of cloth would be x rupees
We can write this as a ratio as
1 m : rupees 17⅓ = 12¼ m : x rupees
[17⅓ = 52/3 = 17.3 and 12¼ = 49/4 = 12.25]
1 m : 17.3 rupees = 12.25 m : x rupees
⇒ 1 /17.3 = 12.25 /x
⇒ (1)(x) = (12.25 )×(17.3)
⇒ x = 212.3
Therefore, the cost of 12¼ m of cloth is 212.3 rupees.
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What value of a makes the following equation true?
a−8a=210
Enter your answer as a number, like this: 42
What is the equation of the line that is parallel to the given line and passes through the point (-3, 2)? is it d?
Answer: The answer would be 3x+4y=-17
Step-by-step explanation: The reason why that would be the answer is because when you substitute the coordinates into the equation you get -17 and their asking if it is parallel and they are!
Hope this helps :P
Find the x-intercept and y-intercept from the graph below.
Answer:
Step-by-step explanation:
First choice
to find x intercept, substitute y = 0.
where it cuts the y axis is -55
similarly, where it cuts the x-axis is 25
anser is x-int (-55,0) u - int (x,25)
I’m confused can someone help?
Answer: Maybe you have to divide $525 over 5 friends so you will get how much each one gets.
Jayme buys a painting for $179.99 for his apartment. The tax rate is 6.5%. How much did Jayme spend after tax?
Answer:
$191.69
Step-by-step explanation:
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
V(x) = -1600x + 21,000
x (number of years)
Step-by-step explanation:
"advised "
(a). if x = 4 (replace x with 4)
Using the formula above
V(4) = -1600(4) + 21,000
= -6400 + 21,000
= $14600
Value of the car after four years is $14600.
(b). if x = 8 (replace x with 8)
Using the formula
V(8) = -1600(8) + 21000
= -12800 + 21000
= $8200.
Value of the car after eight years is $8200.
(c). V(10) = 5000
This is the value of the car after 10 years
Check.
V(10) = -1600(10) + 21,000
= -16000+21,000
= $5000.
Value of the car after 10 years is $5000.
Hope this helps >>>>
Write the quadratic function in standard form. f(x) = x^2 − 6x
The standard form of the given equation f(x) = 6x² − x + 1 is:
[tex]f(x)=6\left(x-\frac{1}{12}\right)^2-\frac{23}{24}[/tex]
What are quadratic functions?A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can open up or down, and their "width" or "steepness" can vary, but they all have the same basic "U" shape.So, f(x) = 6x² − x + 1:
We must convert this to standard form, which is provided by:
[tex]f(x)=a(x-h)^2+k[/tex]Where x² is the co-efficient of the leading term and (h, k) is the curve's vertex (minimum and maximum point).
The formula h = -b/2a can be used to calculate h.
a = 6 and b = -1[tex]h=\frac{-(-1)}{2(6)}=\frac{1}{12}[/tex]We can find k by determining f(h), as k=f (h).
[tex]\begin{aligned}&k=f\left(\frac{1}{12}\right)=6\left(\frac{1}{12}\right)^2-\frac{1}{12}+1 \\&k=\left(6 \times \frac{1}{141}\right)-\frac{1}{12}+1 \\&k=\frac{1}{24}-\frac{1}{12}+1 \\&k=\frac{1-2+24}{24}=\frac{23}{24}\end{aligned}[/tex]
Therefore, the standard form of the given equation f(x) = 6x² − x + 1 is:
[tex]f(x)=6\left(x-\frac{1}{12}\right)^2-\frac{23}{24}[/tex]
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The correct question is given below:
Write the quadratic function in standard form.
f(x) = 6x² − x + 1
A party planner is making gift bags for an event. He has 96 pencils,
36 erasers, and 24 pencil toppers. Each bag needs to have the same number
of each object. What is the greatest number of gift bags that the party
planner can make? How many of each item are in each bag?
Considering the greatest common divisor, you obtain:
the greatest number of gift bags that the party planner can make is 12.the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.Greatest common divisorThe greatest common divisor is the largest number that exactly divides two or more numbers at the same time. That is, it is the largest number by which two or more numbers can be divided, resulting in a whole number.
A method to calculate the greatest common factor must follow the following steps:
Decompose or separate each number into prime factors.Common factors are noted.In each of the commons, the factor with the smallest exponent is chosen.Multiply the chosen factors.This caseTo find the greatest number of gift bags the party planner can make, you find the greatest common divisor.
To do this, decompose the numbers 96, 36 and 24:
96= 2⁵×336= 2²×3²24= 2³×3The common factors with the smallest exponent are: 2² and 3
So, the greatest common divisor between 96, 26 and 24 is calculated as: 2²×3= 4×3= 12
This means that the greatest number of gift bags that the party planner can make is 12.
To calculate the number of each item present in each bag, you divide the quantity of each item by the quantity of gift bags:
96 pencils÷ 12= 8 pencils36 erasers÷ 12= 3 erasers24 pencil toppers÷ 12= 2 pencil toppersFinally, the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.
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A lifeguard walks around the perimeter of the lazy river ride. How far does the lifeguard walk?
The lifeguard walks around the perimeter which is 637.50 feet.
Perimeter is defined as the measure of sum all sides of a 2 dimensional figure. To calculate the perimeter we add all the individual sides of a polygon. The perimeter of a square is the sum of all four sides.
Since a triangle has three sides, the perimeter of a triangle is calculated by adding the sum of all the three sides of the triangle.
In the given figure we can see that the triangle is isosceles and the measure of the sides of the triangle are 216.75 feet , 216.75 feet and 204 feet.
Now the lifeguard walks around the perimeter of the triangular lazy-river ride.
Therefore perimeter = 216.75 +216.75 + 204 = 637.50 feet
Hence the lifeguard walks the perimeter which is 637.50 feet.
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This is a question from Algebra 1, relating to symbolic representation. Please add an explanation to your answer. Thank you! I will mark you brainliest if you answer & explain!
What the given equation m = ((C + 200y) - 8000))/12y represents is as follows;
m is the amount of each monthly payment
C is the cost of the car
y is the length of loan in years
(C + 200y) - 8000) is the total amount she will repay
12y is the number of payments that she will make
How to interpret Compound Interest formula?
We know that the formula to get the compound interest is;
A = P(1 + r/100)ⁿ
Where;
A is Amount.
P is Principal
r is Rate of interest
n is time in years
Now, when we compare that to our formula given as;
m = ((C + 200y) - 8000))/12y
we can say that;
m is the amount of each monthly payment
C is the cost of the car
y is the length of loan in years
(C + 200y) - 8000) is the total amount she will repay
12y is the number of payments that she will make
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Here are four digits.
9648
Use three of these digits to write down the smallest possible 3-digit number.
Answer:
468
Step-by-step explanation:
use the smallest digit in the hundreds place , that is 4
use the next smallest digit in the tens place, that is 6
use the next smallest digit in the units place, that is 8
smallest 3- digit number is 468
Answer: 468
Step-by-step explanation:
Numbers are= 9,6,4,8
Now, rearrange all numbers according to weight,
4<6<8<9
The smallest possible 3-digit number will be 468
Explain why it is not reasonable to say that 6.32 is less than 6.235 because 6.32 has
fewer digits after the decimal point than 6.235.( Use the process of comparing
numbers to help you with your explanation
The number of digits attached to the number is irrelevant as long as we considering the first non-identical integer. For example:
[tex]6.32215 > 6.32214 \\ since \: 5 > 4[/tex]
Additionally some numbers are written with two decimals only, implying that there an infinite amount of unnecessary zeros attached at the end. For example:
[tex]6.32 = 6.320000000000000000...[/tex]
Now a more clear approach would be to compare these two numbers after attaching these zeros.
[tex]6.3200000000... \\ 6.2350000000...[/tex]
Comparing the first three digits,
[tex]320 > 235 \\ 6.32 > 6.235[/tex]
Express as a simplified fraction 5y - 20 = 0
Answer:
[tex]5y - 20 = 0 \\ 5y = 20 \\ y = \frac{20}{5} = 4[/tex]
your answer is 4The weight of an organ in adult males has a bell-shaped distribution with a mean of 340 grams and a standard
deviation of 35 grams. Use the empirical rule to determine the following.
(a) About 68% of organs will be between what weights?
(b) What percentage of organs weighs between 235 grams and 445 grams?
(c) What percentage of organs weighs less than 235 grams or more than 445 grams?
(d) What percentage of organs weighs between 270 grams and 375 grams?
According to the empirical rule, there are a answers of the given statement.
According to the statement
We have to find that the answers of the given statement.
So, For this purpose, we know that the
The empirical rule is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
From the given information:
The mean of 340 grams and a standard deviation of 35 grams.
Then
a) About 68% of organs weight between:
According to the empirical rule:
68% of the information values lie within 1 variance of the mean
95% of the info values lie within 2 variance of the mean
99.7% of the information values lie within 3 variance of the mean
Thus, 68% of the information values consist the range: Mean - 1 variance to Mean + 1 variance.
Using the values of Mean and variance, we get:
Mean - 1 variance = 320 - 20 = 300 grams
Mean + 1 variance = 320 + 20 = 340 grams
This means 68% of the organs will weigh between 300 and 340 grams.
And
b) In order to search out what percentage of organs weight between the given range, we'd like to seek out what proportion far these values are from the mean.
Since, mean is 320 and 280 is 40 but mean, we will write:
280 = 320 - 40
280 = 320 - 2(2)
280 = 320 - 2 Standard Deviations
Similarly,
360 = 320 + 40
360 = 320 + 2 Standard Deviations
So, we've got to inform what percentage of values lie within 2 variance of the mean. in step with the empirical law, this amount is 95%.
So, 95% of the organs weigh between 280 grams and 360 grams.
And
c) From the previous part we all know that 95% of the organs weight between 280 grams and 360 grams.
It is on condition that the distribution is bell shaped. the full percentage under a bell shaped distribution is 100%. So so as to calculate what proportion percentage of values are below 280 and above 360, we'd like to subtract the proportion of values that are between 280 and 360 from 100% i.e.
Percentage valuable outside the range = 100% - Percentage of values inside the range
So,
Percentage of organs weighs but 280 grams or over 360 grams = 100 - Percentage of organs that weigh between 280 grams and 360 grams
Percentage of organs weighs but 280 grams or quite 360 grams = 100% - 95% = 5%
So, 5% of the organs weigh but 280 grams or over 360 grams.
And
D) 300 is 1 variance below the mean and 360 is 2 standard deviations above the mean.
Previously it's been established that, 68% of the info values lie within 1 variance of the mean i.e
From 1 variance below the mean to 1 variance above the mean, the share of values is 68%. Since the distribution is bell shaped and bell shaped distribution is symmetric about the mean, therefore the percentage of values below the mean and above the mean must be the identical.
So, from 68% of the information values that are within 1 variance from the mean, 1/2 them i.e. 34% are 1 variance below the mean and 34% are 1 variance above the mean. Thus, percentage of values from 300 to 320 is 34%
Likewise, data within 2 standard deviations of the mean is 95%. From this half the information i.e. 47.5% is 2 standard deviations below the mean and 47.5% is 2 standard deviations above the mean. Thus, percentage of values between 320 and 360 grams is 47.5%
So,The total percentage of values from 300 grams to 360 grams = 34% + 47.5% = 81.5%
Therefore, 81.5% of organs weigh between 300 grams and 360 grams.
So, According to the empirical rule, there are a answers of the given statement.
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Professor Dale records the following final grades in one of her classes: A, A, A, A, B, B, B, B, B, B, B, C, C, C, C, C, C, C, C, D, D, D, F, F Which value would complete the frequency table for these grades? Grade Frequency Relative Frequency Cumulative Frequency A 4 16.70% 4 B 7 29.20% 11 C ???? 33.30% 19 D 3 12.50% 22 F 2 8.30% 24 Total 24 100% 24
The value of the frequency for grade C from given table of final grade is 8.
As given,
Given frequency table is:
Grade: A B C D F
Frequency: 4 7 ? 3 2
Relative Frequency: 16.70% 29.20% 33.30% 12.50% 8.30%
Cumulative Frequency: 4 11 19 22 24
Given records: A, A, A, A, B, B, B, B, B, B, B, C, C, C,C, C, C, C, C,D,D,D, F,F
Here : frequency of grade C is 8 times
or Cumulative frequency (19-11=8).
Therefore, the value of the frequency for grade C from the given table of final grade is 8.
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am i crazy or is this problem actually hard?! please help
Answer: its correct
Step-by-step explanation:
If KL = 3, KM = 8, and MN = 24, what is LN?
Answer: LN=29
Step-by-step explanation:
LN=LM+MN
KM=KL+LM
KM-KL=KL-KL+LM
LM=KM-KL
LN=KM-KL+MN
LN=8-3+24
LN=5+24
LN=29
A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for π.
Answer:
10362
I found it from somewhere
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answer:
437 33473333336575848
Answer:
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer choice: C & E.
Step-by-step explanation:
Glad to help.
put the unknown price of the four tire patches as x,
and for all, it should add up to $22.20 and you're to subtract $1.90.
11. Myrtle Gould's total sales last month were $180,700, and her commission was $5,040. She earns a
commission only on monthly sales over $50,000. Find her rate of commission to the nearest tenth percent.
South-Western Publishing
7
Chapter 1 Workbook
The rate of commission for a commission of $5040 on total sales of $180700 nearest to tenth percent will be 2.8 %.
What is commission rate ?
The commission rate is the percentage or fixed payment associated with a certain amount of sale.
It is given that , Myrtle Gould's total sales last month were of $180700. And the commission she got for the sales was $5040.
Here , the sale is above the criteria to get the commission which is $50000.
The rate of commission can be calculated as follows :
Rate of commission (R) = (5040 × 100) / 180700
or
R = 504000 / 180700
or
R = 2.8 %
or
Rate of commission will be 2.8 %.
Therefore , the rate of commission nearest to tenth percent will be 2.8 %.
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Two towns are 52 km apart. Buses travelling
between the two towns leave at the same
time but travel in opposite directions. The
bus from town A is travelling 80 km/h and
the bus from town B is travelling 70 km/h.
How long after they leave will they pass each
other? (Reminder: there are 60 minutes in an
hour!)
Step-by-step explanation:
x = number of km bus from A drives until they meet.
y = number of km bus from B drives until they meet.
x/80 is the time for the bus from A to reach the meeting point.
x/70 is the time for the bus from B to reach the meeting point.
both times must be equal, as they start at the same time.
so,
x/80 = y/70
but then we also know that together they have traveled the full 52 km to meet.
so,
x + y = 52
x = 52 - y
with that we go into the first equation :
(52 - y)/80 = y/70
(52 - y)/8 = y/7
7×(52 - y)/8 = y
7×(52 - y) = 8y
364 - 7y = 8y
364 = 15y
y = 364/15 km = 24.26666666... km
x = 52 - y = (780-364)/15 = 416/15 = 27.73333333... km
they will meet after (using bus from B)
364/15 / 70/1 = 364/1050 hours
= 182/525 hours =
= 60×182/525 = 10920/525 minutes =
= 728/35 = 104/5 = 20.8 minutes =
= 20 minutes 60×8/10 seconds =
= 20 minutes 48 seconds
control (using bus from A) :
416/15 / 80/1 = 416/1200 hours =
= 26/75 hours =
= 60×26/75 = 1560/75 minutes =
= 104/5 = 20.8 minutes
correct.
Please help me with this question
Answer:
Step-by-step explanation:
f(x) = 1/x
For each of the following, evaluate or solve, assuming that the function is one-to-one.
can anybody help me with this question
Answer:
45.83/100
Step-by-step explanation:
assuming all participate in a language
German=1/6
French=3/8
Italian=remaining percentage=a
1/6+3/8+a=1
8/48+18/48+a=1
a=48/48-26/48
a=45.83/100
In the figure, m ∠ 7 = 100 ° . Find the measure of ∠ 8 .
In the figure, m ∠ 7 = 100 °. The measure of angle 8 is 80°
What do you mean by an angle?An angle is a figure in the Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by the two rays are in the plane where the rays are located. The meeting of the two planes also creates angles. We refer to these as the dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of the intersecting curves.
Angle can also refer to length of a rotation or an angle. This metric represents relationship between a circular arc's length and radius. The arc is centered at the vertex and defined by sides in the case of a geometric angle. When there is a rotation, the arc is defined by any other point and rotation's image, and it is centered at the rotation's center.
Given,
∠7 = 100°
According to the given figure,
∠7+∠8= 180°
100°+ ∠8= 180°
∠8= 180°- 100° = 80°
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m = x+y/3 solve for y
Answer:
y=3m-3x
Step-by-step explanation:
[tex]m=x+\frac{y}{3} \\ \\ m-x=\frac{y}{3} \\ \\ y=3m-3x[/tex]
The table shows the relationship between x-values and y-values. Which of the following statements is true?
Answer:
When faced with this question as multiple choice, you can either try to verify that one of the answers is true, or you can try to solve for the answer and compare to the choices. Your challenge during a multiple choice test is to identify the fastest possibility so that you can go on to the next problem.
In this case neither choice takes any significant amount of time. You can verify which equation is satisfied by any two points in the table very quickly.
Or you can notice that the equations are all linear and then take two points and solve for the equation of the line between them.
In either case, answer C quickly reveals itself as correct.
Step-by-step explanation:
Carlos’ pay stub is shown. What is his net pay? Round to the nearest cent. Gross Pay-$1,800.00
Medicare-$26.10
Social Security (6.2%)-?
Federal Withholding Income Tax (19%)-?
By subtracting the taxes from the gross pay we can see that Carlos' net pay is $1,500.30
How to find Carlos' net pay?We know that the gross pay is $1,800, now we need to subtract the social security and taxes.
First, there is a 6.2% and 19% in taxes, adding that we get:
6.2% + 9% = 15.2%
Then we need to subtract a 15.2% of the gross pay, this will give:
P = $1,800*(1 - 15.2%/100%) = $1,800*(0.848) = $1,526.40
And now we also need to subtract the Medicare, which is $26.10, it gives:
$1,526.40 - $26.10 = $1,500.30
We conclude that Carlos' net pay is $1,500.30
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Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden.
The length of each side of the original garden was
feet.
The area of the original garden was
feet2.
The original garden was 6 feet long on each side. The original garden's footprint measured 36 feet.
How would you define Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
Using the information provided,
(x-1)²=25
(x-1)=5
x=6
6x6=36 feet²
The original garden had six sides that were the same length.
The original garden covered 36 feet of space.
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Answer:
6 ft & 36ft
Step-by-step explanation:
Compute ⌈x⌉ and ⌊x⌋ for the following value of x. 71.999
The floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.
What is the Floor and Ceiling Functions?By definition, the ceiling function returns the smallest nearest integer which is greater than or equal to the specified number whereas the floor function returns the largest nearest integer which is less than or equal to a specified value.
Thus, the Floor function ⌊x⌋ of 71.999 returns 71 which is less than 71.999. Meanwhile, the ceiling function ⌈x⌉ of 71.999 returns 72 which is greater than 71.999.
Thus, we conclude that the floor and ceiling functions of 71.999 returns ⌈x⌉ = 71 and ⌊x⌋ = 72.
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