Answers
The number of groups of 1/9 in 2 are 18.
The value of 2 ÷ (4/9) = 9/2.
We can see a number line with equal intervals of 1/9.
We have to find the number of groups of 1/9 in 2 and the value of 2 ÷ (4/9) .
As we can see in the number line,
2 is two intervals after 16/9 , hence,
2 = 16/9 + 1/9 + 1/9 = 16/9 + 2/9 = 18/9
We can write it as,
(1/9)*18
Hence, there are 18 groups of 1/9 in 2.
The value of 2 ÷ (4/9) = 2*(9/4) = 18/4 = 9/2.
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Related Questions
Two angles are supplementary if the sum of their measures is 18
Answers
Let:
x = 1st angle
y = 2nd angle
Since they are supplementary:
[tex]x+y=180_{\text{ }}(1)[/tex]One is 54 more than 1/2 of the other, so:
[tex]y=\frac{1}{2}x+54_{\text{ }}(2)[/tex]Replace (2) into (1):
[tex]\begin{gathered} x+\frac{1}{2}x+54=180 \\ \frac{3}{2}x=180-54 \\ \frac{3}{2}x=126 \\ x=\frac{2}{3}\cdot126 \\ x=84 \end{gathered}[/tex]Replace x into (2):
[tex]\begin{gathered} y=\frac{1}{2}(84)+54 \\ y=42+54 \\ y=96 \end{gathered}[/tex]Answer:
The two angles are 84⁰ and 96⁰
You invest $1,000 in each of two accounts. Account A earns simple interest at a rate of 2.42% over 4 years. Account B earns simple interest at a rate of 2.42% over 24 months. Find the interest earned by each account. How does the interest earned by the two accounts compare?
Answers
ANSWER
Account A = $96.80
Account B = $48.40
EXPLANATION
We have that in the two accounts A and B, $1000 is invested.
We want to find the simple interest earned by the two accounts. To do this, we apply the formula for Simple Interest:
[tex]SI=\frac{P\cdot R\cdot T}{100}[/tex]where P = principal (amount invested)
R = rate
T = amount of time
ACCOUNT A
It earns simple interest at a rate of 2.42% over 4 years.
Therefore, the simple interest earned is:
[tex]\begin{gathered} SI=\frac{1000\cdot2.42\cdot4}{100} \\ SI=\text{ \$96.8}0 \end{gathered}[/tex]ACCOUNT B
It earns simple interest at a rate of 2.42% over 24 months. For this, we have to divide by 12 months (since the formula is originally for year).
Therefore, the simple interest earned is:
[tex]\begin{gathered} SI=\frac{1000\cdot2.42\cdot24}{100\cdot12} \\ SI=\text{ \$48.40} \end{gathered}[/tex]We have calculated the Simple Interest for both accounts.
We see that the simple interest for Account A is twice that of Account B. This is simply because Account A earned for twice the amount of time that Account B earned for.
Find the area of this figure. [?] square meters 6 m 6 m 12 m 9 m
Answers
The area of this figure is 89 m².
What is the area of a rectangle?
The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.
Mathematically, Area of a rectangle = length*breadth = l*b -(i)
What is the area of a triangle?
The territory a triangle occupies inside its three sides or limits is known as its area. A triangle's sides determine its area. In essence, the length and base of the rectangle multiplied together with 0.5 gives the area of the triangle.
Mathematically, Area of a triangle = 0.5*height*base = 0.5*h*b -(ii)
r
Given, the length of the rectangle = l = 8 m
The breadth of the rectangle = b = 13 m
Area of the rectangle = 8*13 = 104 m² [Using (i)]
Also, the base of the triangle = b = 13 - 4 -4 = 5 m
The height of the rectangle = h = 6 m
Area of the triangle = 0.5*5*6 = 15 m²
Therefore, area of the shaded region = Area of the rectangle - Area of the triangle = (104 - 15) = 89 m²
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Hello it’s a 4 part question I just need help however I can only post one picture at a time
Answers
Answer:
Part a:
0% 3000
5% 3646.51
10% 5247.02
20% 6220.8
Explanation:
Part a:
We need to evaluate the function in the r values given:
If the rate is 0% then r = 0
[tex]S=3000(1+0)^4=3000[/tex]If the rate is 5%, then r = 0.05
[tex]S=3,000(1+0.05)^4\approx3646.51[/tex]If the rate is 10%, then r = 0.1
[tex]S=3,000(1+0.1)^4=4392.3[/tex]If the rate is 15%, then r = 0.15
[tex]S=3,000(1+0.15)^4=5247.02[/tex]If the rate is 20%, then r = 0.2
[tex]S=3,000(1+0.2)^4=6220.8[/tex]312p - 2) 16) -10n + 31 ap-2=40-8x6pto lapto 9p+uptop=-8+6+2 P20/19=0 17) 10(x + 3) - (-9x - 4) = x - 5+ 3 18) 12
Answers
Answer:
x = -2
Explanation:
The initial expression is:
10( x + 3) - ( -9x - 4) = x - 5 + 3
To solve for x, we first need to apply the distributive property as:
10x + 10(3) -(-9x) - (-4) = x - 5 + 3
10x + 30 + 9x + 4 = x - 5 + 3
Then, add the like terms to get:
(10x + 9x) + (30 + 4) = x + (-5 + 3)
19x + 34 = x - 2
Subtract x from both sides:
19x + 34 - x = x - 2 - x
18x + 34 = -2
Subtract 34 from both sides:
18x + 34 - 34 = -2 - 34
18x = -36
Finally, divide both sides by 18:
18x/18 = -36/18
x = -2
Therefore, the answer is x = -2
I need help solving this practice, I will send an additional picture of the actual problem itself
Answers
The multiplicities of the zeros are how many times that factor appeared in the factored form of a polynomial function.
If the multiplicities are even, then they are tangent to the x-axis
So, the graph is tangent to x at -6
If the multiplicities are odd, then they cross while hugging the x-axis.
So, the graph of the function crosses while hugging the X-axis at 1
And the graph crosses through at the values with no multiplicities, which are 0 and 4
So, the answers are:
a) Is tangent to
b) Crosses straight through
C) Crosses through whle hugging
d) Crosses straight through
Evaluate the expression when c= -5.
c^2+ 6c-9
Answers
-5^2 + 6(-5) - 9
The answer should be -64.
A population has parameters μ=164.8 and σ=72.8. You intend to draw a random sample of size n=160.
Answers
The value of mz is 164.8 and sigma z is 5.755 for the given sample.
What is the sample standard deviation?
The dispersion of data distribution is measured by standard deviation. The average distance between every data point is measured.Yet if the data is being treated as a population unto itself or as a sample of a broader population will affect the standard deviation calculation formula.We divide by the N number of data points if the data is being seen as a population on its own.If the data come from a sample of a larger population, then divide by n-1n1n, or n minus 1, which is one less than that of the number of points in the sample.Given that,
m=164.8
sigma=72.8
n=160
The mean of the sample means' distribution
mz=m
mz=164.8
The standard deviation of the sample mean's distribution
sigma z= sigma/√n
sigma z= 72.8/√160
=5.755
The value of mz is 164.8 and sigma z is 5.755 for the given sample.
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A car rental company charges $15 per day and $0.55 per kilometer to rent a car. What is the total bill if a car is rented for 4 days and is driven 146 kilometers? Andy how would I solve it
Answers
Answer:
$140.30
Step-by-step explanation:
The best way to solve this is to make an equation.
y = 15x + 0.55k
In simple terms this is:
Total = $15(number of days) + $0.55(Number of kilometers)
Plug in the values
15(4) + 0.55(146)
60 + 80.3
140.3
Since this is dollars it would $140.30!
Hope this explanation was good enough.
Answer: $140.30 is the total bill
Step-by-step explanation:
First, you would time 15 by 4 to get the price for the number of days you have rented the car. Which is $60
Now times $0.55 by 146 to get the price for the kilometers you have driven. Which is $80.30
Add both $60 and $80.30
The total bill is $140.30
4. Which expression represents the area of arectangle where the length is 9 and thewidth is 3x - 8.A. 27x - 8B. 24x - 16C. 27x - 72D. 12x - 8
Answers
Area of a rectangle = length x width
A = 9 (3x-8)
A = 9(3x) + 9(-8)
A= 27x - 72
Jayson buys a car and pays by installments. Each installment is $567 per month. After 48 months Jayson owes $1,250. What was the total price of the vehicle?
10 points
use an area model and standerd multiplecation!
Answers
The total price of the vehicle to Jayson is $28,466 since he has paid $567 for 48 months and still owes $1,250.
How is the total price determined?We can use the mathematical operations of multiplication and addition to compute the car's total price.
Installment payment per month = $567
The total installments paid for 48 months = $27,216 ($567 x 48)
The amount Jayson still owes = $1,250
Total price = $28,466 ($27,216 + $1,250)
Thus, Jayson would pay a total price of $28,466 for the vehicle.
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write the quotient in the standard form a+bi.9/3-i
Answers
Graph the circle x^2+y^2=9
Answers
Given:
A circle with the equation:
[tex]x^2+y^2\text{ = 9}[/tex]Solution
Recall that the general equation of a circle is of the form:
[tex](x-a)^2+(y-b)^2=r^2[/tex]Where (a, b) are coordinates of the center and r is the radius of the circle.
Re-writing the given equation using the general form gives us:
[tex](x-0)^2+(y-0)^2=3^2[/tex]Hence, the center and radius of the circle are (0, 0) and 3 respectively.
The graph of the equation is shown below:
The graph is obtained by first locating the center of the circle (0,0) on the graph. Then, we measure 3 units from the center to construct the required circle.
Let U={1, 2, 3, 4, 5, 6, 7}, A={4, 5, 6, 7}, and B={3, 4, 7}. Find the set A' ∩ B'.
Answers
The intersection between the complements of A and B is:
A' ∩ B' = {1, 2}
How to find the intersection?
We have the sets:
A={4, 5, 6, 7}
B={3, 4, 7}
And we want to find the intersection between the complements, where the complements are all the elements that are in the universal set and not are in the given sets, so:
A' = {1, 2, 3}
B'= {1, 2, 5, 6}
The intersection between two sets is the set of the common elements, so we have:
A' ∩ B' = {1, 2}
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0.5 is the coefficient of ² in the expression v + 0.5v²
A True
B False
Answers
True, 0.5 is the coefficient of v² in the expression v + 0.5v².
What is a Coefficient?A coefficient is a number or quantity related to a variable. It is usually an integer multiplied by the variable and displayed next to it. Variables that do not have a numerical value are assumed to have a coefficient of one. A coefficient might be positive or negative, real or imaginary, and expressed in decimals or fractions.Given expression is v + 0.5v².
Follow the methods below to find the coefficient of a variable in a term:
Step 1: Encircle the variable and its power whose coefficient we're looking for.
So here we are looking for the coefficient of v²
Step 2: Forget about that variable and think about all the other numbers or variables that were written with it. That is the coefficient.
Hence, the required coefficient is 0.5.
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Use the distributive property to simplify the expression:
3(2p+5)-10
PLEASE HELP ASAP I'LL GIVE 100 POINTS AND BRAINY IF YOU CAN HELP ME!!!!!!!!!!!!
Answers
Answer:
6p+5
Step-by-step explanation:
3(2p+5)−10
Use the distributive property to multiply 3 by 2p+5.
6p+15−10
Subtract 10 from 15 to get 5.
6p+5
I am unsure how to set this problem up so I can begin solving, can you please assist me?
Answers
Since it is a right triangle, we can apply trigonometric functions:
Sin a = opposite side / hypotenuse
Where:
a = angle = 25°
Opposite side = x
Hypotenuse = 30
Replacing:
Sin 25 = x / 30
Solve for x :
Sin 25 (30) = x
x = 12.68
Write 7,250,000,000 in scientific notation.
Answers
Answer: 7.25 ×10^9
There are 9 digits after the first number (7), so 10 is raised to the power of 9
find the volume of the figure below (hint: you may need to find 2 separate volumes and combine them)
Answers
The shape consist of a cone and a cylinder
As such the volume of the shape is the sum of the volume of the two shapes.
The volume of a cone is given as
V = 1/3 Pi R^2H
and that of a cylinder is
V = Pi R^2H
where Pi is a constant 22/7, R is the radius and H is the height
Hence the volume of the figure
=1/3 * 22/7 * 6^2 * 10 + 22/7 * 6^2 * 12
= 22/7 (120 + 432)
= 22/7 * 552
= 1734.86 m^2
Estimate the sum or difference 9.84-1.86
Answers
Answer: The estimated sum or difference would be 8.00. If not estimated it would be 7.98.
Step-by-step explanation:
If we differentiate the given numbers from 9.84-1.86, the answer will be 7.98 exactly.
As 7.98 is closer to 8.00, we can easily estimate the number to be 8.00.
help meeee pleasee!!!
thank youu
Answers
Answer:
Domain: A, [1, 7]
Range: [-4, 2]
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
Mrs. Taylor caught 6 bats in her attic in 12
minutes. How long would it take to catch 5 bats?
Answers
On a standardized test, the mean is 38 and the standard
deviation is 4.5. Approximately what percent of the scores
fall in the range 29-47?
Answers
The percentage of scores that fall in the range 29-47 is of 95%.
Empirical RuleThe Empirical Rule states that, for a normally distributed random variable:
The percentage of scores within one standard deviation of the mean is 68%.The percentage of scores within two standard deviations of the mean is 95%.The percentage of scores within three standard deviations of the mean is 99.7%.In the context of this problem, the mean and the standard deviation of scores are given as follows:
Mean = 38.Standard deviation = 4.5.Hence the range of 29 to 47 is within two standard deviations of the mean, as 38 - 2 x 4.5 = 29 and 38 + 2 x 4.5 = 47, meaning that the percentage of scores that fall in the range is of 95%.
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Petroleum pollution in oceans stimulates the growth of certain bacteria. An assessment of this growth has been made by counting the bacteria in each of 6randomly chosen specimens of ocean water (of a fixed size). The 6 counts obtained were as follows.48, 67, 64, 61, 63, 69Send data to calculatorFind the standard deviation of this sample of numbers. Round your answer to two decimal places.
Answers
σ =6.78
Count, N:6
Sum, Σx:372
Mean, μ:62
The standard deviation(σ) can be calculated using the formula below:
[tex]\sigma=\sqrt[]{\frac{1}{N}\sum ^n_{i=1}(x_i-\mu)^2}[/tex]To calculate Mean( μ);
[tex]\text{Mean}=\frac{48+67+64+61+63+69}{6}[/tex]Mean( μ) = 62
[tex]\sigma=\sqrt[]{\frac{(48-62)^2+(67-62)^2+(64-62)^2+(61-62)^2+(63-62)^2+(69-62)^2}{6}}[/tex][tex]=\sqrt[]{\frac{276}{6}}[/tex][tex]=\sqrt[]{46}[/tex][tex]=6.78[/tex]Therefore, the standard deviation(σ) = 6.78
Given: - 7(x + 2) + 4x = 6(2x - 4) Prove: x = 2/3
Answers
Answer:
2/3 = x
Step-by-step explanation:
- 7 ( x + 2 ) + 4x = 6 ( 2x - 4 )
First, solve the brackets.
-7x - 14 + 4x = 12x - 24
Combine like terms.
-3x - 14 = 12x - 24
Add 3x to both sides.
-14 = 12x + 3x - 24
-14 = 15x - 24
Add 24 to both sides.
-14 + 24 = 15x
10 = 15x
Divide both sides by 15.
10/15 = x
To simplify the answer divide numerator and denominator by 5.
2/3 = x
Please help!! What is the solution if the equation below
Answers
The answer to the given equation question is Option C - 2
What does square root mean ?A square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x.[1] For example, 4 and −4 are square roots of 16, because 4^2 = (−4)^2 = 16.
Given : [tex]\frac{\sqrt{2x} }{\sqrt{x-1} }[/tex] = 2
On taking square roots on both sides we get :
=> [tex]\frac{2x}{x-1}[/tex] = 2
On cross multiplying
=> 2x = 2x - 2
After the calculations we get the solution as 2
Thus the correct answer is option c - 2 .
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1+1dynzg sfbstjstjstjj
Answers
equation
[tex]\frac{2342424}{456546456}+\sqrt[34535345]{4r3535}-\sin 453\sin ^{-1}43535\cos ^{-1}5345678^{76867}\int ^{\infty}_086\int 6878\sqrt[7686786]{78767\text{ }e^{655757\begin{cases}x=75665 \\ y=5345346363\gamma\end{cases}}}[/tex][tex] \frac{3}{2} ln( {4x}^{6} ) - \frac{4}{5} ln( {2m}^{5} ) = [/tex]how do I do this
Answers
Original expression
[tex]\frac{3}{2}\ln 4x^6-\frac{4}{5}\ln 2m^5[/tex][tex]\begin{gathered} \frac{3}{2}\ln 4x^6-\frac{4}{5}\ln 2m^5 \\ \ln (4x^6)^{\frac{3}{2}}-\ln (2m^5)^{\frac{4}{5}}^{} \end{gathered}[/tex][tex]\begin{gathered} \ln (4^{3/2}x^{6\cdot3/2})-\ln (2^{4/5}m^{5\cdot4/5}) \\ \ln (2^{2\cdot3/2}x^9)-\ln (2^{4/5}m^4) \\ \ln (2^3x^9)-\ln (2^{4/5}m^4) \end{gathered}[/tex][tex]\begin{gathered} \ln (\frac{2^3x^9}{2^{4/5}m^4}) \\ \ln (\frac{2^{11/5}x^9}{m^4}) \end{gathered}[/tex]The answer would be
[tex]\ln (\frac{2^{\frac{11}{5}}x^9}{m^4})[/tex]
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting two queens and two kings.
Answers
If you are dealt 4 cards from a shuffled deck of 52 cards, the probability of getting two queens and two kings is: 0.000133.
ProbabilityNumber of ways to get two of the four queens = 4C2 = 6 ways
Number of ways to get two of the four kings = 4C2 = 6 ways
Number of ways to get none of the deck = 48C0 = 1 way
Hence,
Number of ways to get four cards = 6 x 6 x 1
Number of ways to get four cards = 36 ways
Number of ways 4 cards can be chosen from 52 cards = 52C4 = 270725 ways
So,
Probability = 36 ways / 270725 ways
Probability = 0.0001329
Probability = 0.000133 (Approximately)
Therefore the probability is 0.000133.
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Graph the system of equations.{8x+8y=642x−2y=−4} Use the Line tool to graph the lines.
Answers
Given,
The equation of system is,
8x+8y=64
2x−2y=−4
The graph of the equation is,
Hence, the graph of the system is obtained.
