The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
number of votes?
Answers
Answer: 1,222
Step-by-step explanation:
I would set this up as a fraction
3/2=1833/x
I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.
Another option is to cross multiply
3x=2(1833)
1833*2=3666
Divide 3x by 3 to get x alone
Divide 3666 by 3 to get answer
1222
Related Questions
A consistent dependent system of equations is a system with
Answers
Answer:
Systems of equations can be classified by the number of solutions. , . , . If a consistent system has an infinite number of solutions, it is dependent.
determine which statement is true: a.the functions have an equal rate of increasesb.the first function increases faster than the second functionc.the second function increases faster than the first functionpart 2:select one of the false statements then justify how you know It is not correct
Answers
How do I graph the solution
Answers
A musical group performs two concerts. a total of 512 people attend the two concerts. the bar model represents the number of people that attend each concert. which expression models the number of people attending concert 1?
Answers
The expression that models the number of people attending concert 1 is given as follows:
512/6.
How to obtain the number of people attending concert 1?The number of people attending concert 1 is obtained applying the proportions in the context of the problem.
From the bar model, the fractions corresponding to each concert are given as follows:
Concert 1: 1/6.Concert 2: 5/6.The total number of people is given as follows:
512.
Hence the expression that models the number of people attending concert 1 is given as follows:
512/6.
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Show that f(x)= 2x-3/2 & g(x)= 2x+3/2 are inverse fractions. Must show fog=x and gof=x. I really don’t understand this and it’s frustrating me. I must show work
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Hence its proven that f and g are inverse of one another
What is a Function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given,
f(x)= 2x-3/2
g(x)= 2x+3/2
Step 1: show that fog=x
f(g(x))
[2((2x + 3) / 2) - 3]/2
[(2x + 3) - 3] / 2
(2x + 3 - 3) / 2
2x / 2
x , which is equals to x
Now, for Step 2: gof = x
g(f(x))
g((2x - 3)/2)
[2((2x - 3)/2) + 3]/2
[(2x - 3) + 3]/2
(2x - 3 + 3)/2
2x/2
x , which is equals to x
Since, both fog(x) and gof(x) equals to x
Hence, its proven that f and g are inverse of one another
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A cyclist planned to ride 9 1/2 miles but only managed to travel 3 7/8 miles. What fraction of his planned trip did he travel?
Can anyone help with this please?
Answers
The fractional part that cyclist covered from his planned journey is 31/76.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
The total distance cyclist plans to travel in fraction is = 9(1/2) miles.
The distance cyclist covers in fraction is = 3(7/8) miles
The fraction of distance that cyclist travelled is -
Distance Travelled / Original distance planned
Substitute the value in the equation -
3(7/8) / 9(1/2)
Convert into improper fractions -
(31/8) / (19/2)
Use the arithmetic operation of division -
(31/8) / (19/2)
(31/8) × (2/19)
(31/4) × (1/19)
31/76
Therefore, the cyclist travelled 31/76 fraction of his planned journey.
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Helppppppppppppppppppppppppppp
Answers
Answer:
hola como esta bb te extraño cuando vienes a casa para el favor
Answer:
I may be wrong! But, I think it is 76 degrees
Step-by-step explanation:
if you draw a straight line between the left line to the point of W you get a right triangle on the left. Now you know two angles 41+90= 131. A right triangle=180 degrees.
take 180-131= 49 degrees. This is the angle next to W on the left
Then, do the same thing to the right. Draw a right triangle, take 35+90=125, 180-125=55.
55 is the angle to the left of W.
Now add those two numbers, 55+49= 104
A straight line=180 so do 180-104=76, check 76+55+49=180
76 should be W
The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 200 feet. Find the length of the garden.
Answers
solving x, we get:
2(2x + 8) = 200
4x + 16 = 200
4x = 184
x = 46
Triangle PQR has vertives P(2, -4), Q(4, -5), and R(7, -2). It is translated 6 units left and 3 units up to produce Triangle P'Q'R'. Complete table.
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The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.
What are the locations of the vertices of the triangle after applying rigid transformations?
In this problem we know the three vertices of a triangle on a Cartesian plane and we must determine the coordinates of its image by applying rigid transformations. According to the statement, the vertices of the image are obtained by applying a translation formula:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting point T(x, y) - Translation vectorIf we know that P(x, y) = (2, - 4), Q(x, y) = (4, - 5), R(x, y) = (7, - 2) and T(x, y) = (- 6, 3), then the coordinates of the vertices of the image are:
P'(x, y) = (2, - 4) + (- 6, 3)
P'(x, y) = (- 4, - 1)
Q'(x, y) = (4, - 5) + (- 6, 3)
Q'(x, y) = (- 2, - 2)
R'(x, y) = (7, - 2) + (- 6, 3)
R'(x, y) = (1, 1)
The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.
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M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
Answers
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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taber invested money in an account where interest is compounded every year. he made no withdrawals or deposits. the function A(t) = 525(1+0.05) represents the amount of money in the account after t years. how much money did taber originally invest?
Answers
what is the correct expanded form and value of (1 over 5 ) 4
Answers
Answer:
1/625
Step-by-step explanation:
Four cars are for sale. The red car costs $15,000, the blue car costs $18,000, the green car costs $22,000, and the white car costs $20,000. Use the table to identify all possible samples of size n = 2 from this population and their sample minimums. The first sample is done for you.
Sample
n = 2 R, B R, G R, W B, G B, W G, W
Costs
($1000s) 15, 18 15, 22 15, 20 18, 22 18, 20 22, 20
Sample
Mean 15 15 15 18 18 20
What is the mean of all six sample minimums?
What is the value of the population minimum?
Is the sample minimum an unbiased estimator of the population minimum?
Answers
Answer:
Step-by-step explanation:The six sample minimums are 15, 15, 15, 18, 18, and 20.
To find the mean of all six sample minimums, we add them up and divide by 6:
(15 + 15 + 15 + 18 + 18 + 20) / 6 = 16.1667
So the mean of all six sample minimums is $16,166.67.
The population minimum is the smallest cost among the four cars, which is $15,000.
The sample minimum is a biased estimator of the population minimum. Since the samples are of size 2, the probability of obtaining the population minimum as the sample minimum is only 1/3 (when the minimum of the two cars selected is the population minimum). Therefore, the sample minimum tends to underestimate the population minimum.
In January 2019, United Airlines (UAL) had a market capitalization of $22.9 billion, debt of $13.4 billion, and cash of $4.0 billion. United Airlines had revenues of $41.3 billion. Southwest Airlines (LUV) had a market capitalization of $27.5 billion, debt of $3.4 billion, cash of $3.7 billion, and revenues of $22.0 billion. a. Compare the market capitalization-to-revenue ratio (also called the price-to-sales ratio) for United Airlines and Southwest Airlines. b. Compare the enterprise value-to-revenue ratio for United Airlines and Southwest Airlines. c. Which of these comparisons is more meaningful? Explain.
Answers
Answer:
sorry dont know Hope u understood
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answers
Answer:
her salary will increase by $ 145 for every week
Step-by-step explanation:
x=1st paycheck (integer).
weekly raise = $ 145.
After completing the 1st week she will get $ (x+145).
Similarly after completing the 2nd week she will get
$ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
So in this way end of every week her salary will increase by $ 145.
Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.
Answers
Answer:
2 times 8 = 16 divided by 3 leaves a remander of 1
Step-by-step explanation:
The smallest whole number is 22.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
Given:
First find the LCM of 7 and 3 .
LCM = 3 x 7 = 21
So, we will add remainder 1 (as given) to the LCM .
= 21+ 1
= 22
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Identify the steps to find the value of the inverse ( Please show your work thank you) ↓
Answers
The value of the inverse of the equation is this: x³ -3 = y
How to find the inverse of the equationTo find the inverse of the equation follow these steps:
1. Replace H(x) with y.
y = (x + 4)³ - 1
2. Interchange the values of X and Y.
X = (y + 4)³ - 1
3. Find the cube root of both sides
x³ = y + 4 - 1
4. Find the value of y
x³ - 4 + 1 = y
x³ -3 = y
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Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
Answers
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
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complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument
Answers
According to the information, the missing number from the box is number 40.
How to find the missing number in the box?To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.
According to the above we can infer that the missing number is 40.
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A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
Answers
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
Answers
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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Fitzoom gym offers monthly memberships to its gym.
Answers
Answer:
thats cool whjakskaskw skw
Answer:
cool
Step-by-step explanation:
Solve the system of equations.
y=8x-6
y=5x+9
Answers
Answer:
x= 5 , y = 34
Step-by-step explanation:
8x-6=5x+9
3x-6=9
3x=15
x=5
-
8(x5) - 6 =
34
25(x5) +9 =
34
Answer:
x = 5 and y = 34
Step-by-step explanation:
I used substitution method and did this ;
8x - 6 = 5x + 9 .....put like terms together
8x - 5x = 9 + 6
3x = 15
x = 5
y = 8 (5) - 6
y = 40 - 6
y = 34
Which one? I’ll mark brainliest
Answers
the orbit of the moon the earth
a. Solve for x in the
diagram
Answers
Answer: 15 i think
Step-by-step explanation:
Answer:
as their is no labeling so it's hard to answer
55+55=110
180-110=70
vertical angles
so x=70
The number of chaperones needed for a school field trip is directly proportional to the number of students going on the field trip. If 96 students are going on the field trip.
12 chaperones are needed.
Choose the number of chaperones from drop down that are needed if 120 students are going on the field trip.
Answers
The number of chaperones from drop down that are needed if 120 students are going on the field trip are 15chaperones
What is meant by ratio?A ratio in mathematics represents the number of times one number contains another. For instance, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the lemon-to-orange ratio is 6:8 (or 3:4), while the orange-to-fruit ratio is 8:14. (or 4:7).
Given,
The number of chaperones needed for a school field trip is directly proportional to the number of students going on the field trip.
Chaperones needed ---------->Number of students
96 students ------------->12 Chaperones
120 students -------------> ?
x=(120×12)/96
x= 15 chaperones
Therefore, the number of chaperones from drop down that are needed if 120 students are going on the field trip are 15chaperones.
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Question 5 of 10There is a step missing from the solution below. Which equation is themissing step?P-10-0.011x 135-10-0.011x+13-5--0.011x 1312-0.011x1091H XA. 25-0.011x +13B. 12-0.011x+13C. 25-0011x-13D. 25-0.0118-169
Answers
In the given information, we know the previous step is:
\(-5=-\sqrt{0.011x+13}\)And the next step is:
\(12=0.011x\)As we can observe, between the previous and the next step, the square root has disappeared.
Then, to eliminate a square root we need to square both sides
Find the coordinates of the midpoint of segment LP with endpoints: L(4, 2) and P(0, 2)
Answers
Step-by-step explanation:
here,
midpoint of line segment LP
=( X1 +X2÷2 , Y1 + Y2÷ 2)
=(4+0÷2 , 2+2 ÷2)
=(4÷2 ,4÷2)
=(2,2)
Therefore the midpoint of segment LP with L (4,2) and P (0,2) = (2 ,2).
2) If you wish to save up $220,000 using an annuity, what monthly payment is required into the
annuity if the annuity has an APR of 8.0% compounded annually and you wish to reach your
savings goal in 30 years?
Answers
The monthly payment required into the annuity with an APR of 8.0% compounded annually and you wish to reach your savings goal in 30 years is $156.19.
How the monthly payment is determined?The monthly payment is required for 360 months (30 years x 12).
We can compute this periodic payment using an online finance calculator by inputting the parameters below:
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 8%
PV (Present Value) = $0
FV (Future Value) = $220,000
P/Y (# of periods per year) = 12
C/Y (# of times interest compound per year) = 1
Results:
Monthly Payments (PMT) = $156.19
Sum of all periodic payments = $56,228.40
Total Interest = $163,771.60
Thus, to reach a future value of $220,000, the monthly annuity deposit should be $156.19 for 30 years at 8%.
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Work out
4 3/5 - 2 2/5
Give your answer as a mixed number in its simplest form.
Answers
Answer:
2 1/5
Step-by-step explanation:
4 3/5 - 2 2/5
I like to make them vertical
4 3/5
- 2 2/5
-----------------
2 1/5