Answers
In other words, x is some number such that
7/11 - x/3 = 24/55
Solve for x. Rewrite each fraction using a common denominator. In this case, it would be lcm(3, 11, 55) = 3×5×11 = 165. Then
7/11 = (7×15)/(11×15) = 105/165
x/3 = (x×55)/(3×55) = 55x/165
24/55 = (24×3)/(55×3) = 72/165
So we have
105/165 - 55x/165 = 72/165
(105 - 55x)/165 = 72/165
105 - 55x = 72
-55x = -33
x = (-33)/(-55) = (3×11)/(5×11) = 3/5
Related Questions
Hi help pls no link ty!
Answers
Answer:
84.78
Step-by-step explanation:
The full area of the circle without the cutout is 113.04
The cutout sector is 28.26
So that would make our final answer 84.78
by subtracting 28.26(cutout) from 113.04(full circle)
(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360
there are 538 jelly beans in a bowl hector and Michael decided to share the jelly beans how many jelly beans do Michael and hector get? Their mom tells them they can not eat all the jelly beans at once. They can each eat an equal amount of jelly beans for four days. How many jelly beans do hector and Michael eat each day for four days
Answers
Answer:
67.25
Step-by-step explanation:
Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25
Find an equation of the line passing through the point (3,1) and parallel to the line 3x - Y - 4 =0.
Answers
hello
the points given were
\(3,1\)and the equation is parallel to the line
\(3x-y-4=0\)let's rearange this equation
\(y=3x-4\)first we find the slope of the line using slope-intercept form
from the equation above, the slope and intercept are
\(\begin{gathered} \text{slope(M)=3}_{} \\ \text{ intercept(c)=-4} \end{gathered}\)now the equation of the line passing through a point (x1, y1) is given as
\(y-y_1=m(x-x_1)\)now the points of the equation are (3, 1)
\(\begin{gathered} x_1=3 \\ y_1=1 \\ \text{slope(m)}=3 \end{gathered}\)\(\begin{gathered} y-1=3(x-3) \\ y-1=3x-9 \\ y=3x-9+1 \\ y=3x-8 \end{gathered}\)the equation of the line is given as y = 3x - 8
You want to collect data on a random sample of products created on a production line. The company has
two types of products (A and B). For each of the scenarios described below, please name the sampling
method.
A. You randomly select the serial numbers of 50 products and collect information on each item selected.
B. You randomly select 20 products of type A and 20 products of type B.
c. You select every 20th product as they come off the production line.
Answers
Using sampling classifications, it is found that:
a) Cluster sampling.b) Stratified sampling.c) Systematic sampling.-----------------------
Samples are classified as:
Convenient: Sample drawn from a conveniently available pool. Random: Basically, put all the options into a hat and drawn some of them. Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed. Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.-----------------------
Item a:
Products chosen, and then each is used. Thus, cluster sampling.-----------------------
Item b:
A number of elements from each group, not all, thus, stratified sampling.-----------------------
Item c:
Every kth element, in this case, every 20th, thus systematic sampling.A similar question is given at https://brainly.com/question/24188753
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
Answers
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
For more such questions on semi-annually
https://brainly.com/question/30573341
#SPJ8
What is the value of arcsin(1/2)?
Answers
Or 30 degrees
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
The function A = 82.3e-0.002t models the population of Germany, A, in millions, t years after 2003.
(i) What was the population of Germany in 2003 ?
(ir) Is the population of Germany increasing or decreasing? Explain.
(i) In which year will the population of Germany be 81.5 million?
Answers
The population of Germany will be 81.5 million in the year 2003 + 6.24 = 2009.24, or approximately 2009.
what is function A(t) ?
Function A(t) is a mathematical expression that defines the value of a variable A in terms of the input variable t. It represents a relationship between two or more quantities.In the given problem, A(t) refers to the population of Germany in millions, t years after 2003. The specific function is A(t) = 82.3e^(-0.002t), where A(t) represents the population of Germany in millions and t represents the number of years after 2003.
According to the question:
(i) We know that the function models the population of Germany, A, in millions, t years after 2003. So, if we substitute t = 0 (i.e., in 2003) in the function, we can find the population of Germany in 2003.
\(A = 82.3e^{-0.002*0}\)
\(A = 82.3e^0\)
A = 82.3
Therefore, the population of Germany in 2003 was 82.3 million.
(ii) The function has a negative exponential term, which means that the value of A decreases as t increases. So, the population of Germany is decreasing over time.
(iii) We can solve the equation 82.3e^(-0.002t) = 81.5 to find the year when the population of Germany will be 81.5 million.
Dividing both sides by 82.3, we get:
\(e^{-0.002t} = 81.5/82.3\)
Taking the natural logarithm (ln) of both sides, we get:-0.002t = ln(81.5/82.3)Solving for t, we get:
t = -ln(81.5/82.3)/0.002t ≈ 6.24
Therefore, the population of Germany will be 81.5 million in the year 2003 + 6.24 = 2009.24, or approximately 2009.
To know more about function A(t) visit:
https://brainly.com/question/24260452
#SPJ1
according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
Answers
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
For more details regarding population, visit:
https://brainly.com/question/15889243
#SPJ1
Evaluate the function f(x) for the indicated values of x, if possible. Then find the domain of f. f(x)=2x^-x+1; x=2,-2
Answers
Answer:
5
Step-by-step explanation:
Can someone help me
Answers
Answer:
Y = -½x + 3/2
Y = -3x + 5
Y = 1/4x - 3¼
Step-by-step explanation:
Parallel implies they have the same gradient
Perpendicular implies the gradient is a negative reciprocal of the other.
can anyone help me with this?
Answers
Answer:
120 degrees is x
Step-by-step explanation:
because both are equal angles
btw nice Pikachu meme
Imagine that you are making a fruit salad for every quart of blueberries you add you would like to put 3 quarts of strawberries create thre
Answers
Answer:
3
Step-by-step explanation:
If Jim Roller can paint a room in 3 hours while John Brush would take 5 hours, how long will they take if they work together? 1/8 hour 8/15 hour 1 7/8 hours
Answers
Answer:
Step-by-step explanation:
Each hour, Jim does 1/3 of the job if working alone.
Each hour, John does 1/5 of the job if working alone.
Let x = number of hours to do the job if they work together. So, each hour, they do 1/x of the job when they work together.
We get the equation: 1/3 + 1/5 = 1/x
Multiply the equation by the LCD, 15x: 5x + 3x = 15
8x = 15
x = 15/8 = 1 7/8 hrs
ANSWER: (C).
Explicación
please help, it’s urgent ! :)
Answers
9514 1404 393
Answer:
[-4, -1)[-1, 1)[1, 5]Step-by-step explanation:
The numbers that describe the domain of the piece are the x-value at the left end and the x-value at the right end of each piece.
Piece 1 is defined between x=-4 and x=-1, so the interval is [-4, -1).
Piece 2 is defined between x=-1 and x=1, so the interval is [-1, 1).
Piece 3 is defined between x=1 and x=5, so the interval is [1, 5].
_____
Additional comment
The rounded bracket at the right end of the domain interval means the point is not included. The square bracket means the point is included. In general, you only want each x-value to have one corresponding f(x) definition, so it is usually not appropriate to include it as part of two different pieces of the piecewise function. [-4, -1) means -4 ≤ x < -1.
9. Use the graph of the function f(x) = x³ – 7x² + 10x to
x`
identify its relative maximum and minimum.
da
-4
8
8
2
K
T
2
da
y
8
+w
8
maximum = 4.1, minimum = -8.2
maximum = 0.9, minimum = 3.8
Answers
The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:
Relative maximum: (0.88, 4.061).Relative minimum: (3.786, -8.209).What are the relative minimums and the relative maximums of a function?The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing, that is, where the function curves down.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing, that is, where the function curves up.More can be learned about extremas of a function at https://brainly.com/question/9839310
#SPJ1
Under her cell phone plan, Paisley pays a flat cost of $60 per month and $3 per gigabyte. She wants to keep her bill under $75 per month. Write and solve an inequality which can be used to determine g g, the number of gigabytes Paisley can use while staying within her budget.
Answers
Answer:
Step-by-step explanation:
The inequality to determine the number of gigabytes Paisley can use while staying within her budget can be written as:
60 + 3g < 75
Solving for g:
60 + 3g < 75
-60 -60
0 + 3g < 15
/3 /3
g < 5
So Paisley can use up to 5 gigabytes while staying within her budget.
- 17 RATIONAL OR IRRATIONA
Answers
Answer: All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. So its Rational.
:)
Answer:
17 is an irrational number.
Step-by-step explanation:
17 is a prime number with no factors other than itself and 1 therefore minus square root of 17 is an irrational number.
ANOTHA one yessir you already know
Answers
Answer:
Step-by-step explanation:
5 you already know
A system of equations is shown.
{ x= = 10
3x + 5y = 20
What is the solution x of the system of equations?
Answers
Answer:
(r, y)=(10,-2)
Step-by-step explanation: Hope this helps :)
For her party can Nina fill fewer than 10 bags with treats between 10 and 20 bags between 20 and 30 bags or more than 30 bags explain
Answers
The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:
Between 20 and 30 bags.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.
In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:
Number of bags = Number of treats / Treats per bag.
The values of these parameters are given as follows:
Number of treats: 78.Number of treats per bag: 3.Hence the numeric value of the expression is:
Number of bags = 78/3 = 26.
Which is a number between 20 and 30.
Missing InformationThe problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
(10 points) Chip made his eggnog recipe which was 12% sugar, but it was not sweet enough for Dale. Dale made his recipe which was 20% sugar, but it was too sweet for Chip. How much of each eggnog do they need to mix to get 80 oz. of eggnog which has15% sugar concentration?
Answers
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:
x + y = 80 (1)
Also:
0.12x + 0.2y = 0.15(80) (2)
From both equations:
x = 50, y = 30
50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.
Find out more on Equation at: https://brainly.com/question/18831322
stu's teacher wrote his test score as a fraction. He wrote 7/10. What is his score as a percent
Answers
Answer:
that would be a seventy (70)
Answer:
70%
Step-by-step explanation:
What is the difference of the fractions? Use the number line to help find the answer. 1/2 - 1 1/5
Answers
Subtract the fractions. Write each difference in simplest form.
11/12 - 7/12 =
Answers
Answer:
1/3
Step-by-step explanation:
11 - 7 = 4
4/12 -> 1/3
What does each point (x, y) represent? the number of students that year the years since 2000 the number of years for each student enrollment a pairing of the year with the student enrollment of that year
Answers
Answer:
Step-by-step explanation:
Answer:
d and then the next answer is sometimes
Step-by-step explanation:
Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across the x-axis.
Answers
The location of the image of points J and K following a reflection across the x-axis are;
J'(-3, -4), and K'(3, -4)Which method can be used to find the image of a point following a reflection?Coordinates of point are;
J(-3, 4), K(3, 4)
The given transformation is; A reflection across the x-axis
The representation of a reflection across the x-axis is presented as follows;
(x, y) → (x, -y)The image of J and K following a transformation across the x-axis are therefore;
J(-3, 4) → J'(-3, -4)K(3, 4) → K'(3, -4)Learn more about reflection transformation on the coordinate plane here:
https://brainly.com/question/8242111
#SPJ1
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
Answers
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
Learn more about depth here:
brainly.com/question/20070144
#SPJ1
Company X has $128,000 in a saving account that pays 6% interest per year. How much interest will earn at the end of 1/2 year?
Answers
Answer:
3% interest
$171392
Step-by-step explanation:
128000 x 0.03 = 171392
4992 + 128000 = 171392
Hope this helped!
It’ll earn 3840 and have a total amount of 131,840 in the account
The US Census reported that it takes workers an average of 28 minutes to get home from work with standard deviation 5 minutes. A random sample of 10 workers in a large metropolitan area showed an average time to get home from work to be 32 minutes. Is this evidence that workers in the large city take longer than 28 minutes to get home from work.
Answers
Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:
\(H_0: \mu = 28\)
At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:
\(H_1: \mu > 28\).
What is the test statistic?The test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.\(\sigma\) is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are given by:
\(\overline{x} = 32, \mu = 28, \sigma = 5, n = 10\)
Hence:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}\)
\(z = 2.53\)
What is the decision?Considering that we have a right-tailed test, as we are testing if the mean is greater than a value, with a standard significance level of 0.05, the critical value is of \(z^\ast = 1.645\).
Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.
To learn more about the z-distribution, you can check https://brainly.com/question/26454209