The sum of two numbers is 22. Two less than three times the smaller number is equal to the larger number x. Find the larger number.
Answers
y=6, x=16
you create a system with the two variables and manipulate an equation so that you can substitute in the other to make it a single-variable equation. you then solve for that variable by isolating it and you can solve for the second variable afterwards. hope this helps!
Related Questions
Please help Find the sum of each infinite sum
18, 2, 2/9, ...
Answers
the sum of each infinite geometric series sum is 36
Why is this process known as geometric progression?If the ratio between any two consecutive terms in a series of numbers is always the same, the progression is said to be geometric. The ratio of any two successive terms in the sequence (common difference) must be the same for the sequence 2, 4, 8, or 16 to be a general prime.
How can you calculate the infinite sum?S = a/1-r is a general formula for calculating the sum of an infinite geometric series, where s stands for the sum, a1 is the series first term, and r is the common ratio.
a = first term = 18
r = common ratio = 1/2
sum of Geometric progression
r< 1
S∞ = a/(1-r)
S∞ = 18/(1-1/2) =36
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Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.†
R(t) = 240 + 30t^3; t = 1
Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates. Round your answers to one decimal place.)
Answers
The average rate of change of R(t) over the time intervals [t, t + h] , where t is as indicated and h = 1, 0.1, and 0.01 are 210,100 and 100.
What is Differentiation?
Finding a function's derivative, or rate of change, is the process of differentiation in mathematics. The practical approach of differentiation can be performed utilising only algebraic operations, three fundamental derivatives, four principles of operation, and an understanding of how to manipulate functions, in contrast to the theory's abstract character.
Given function : R(t) = 240 + 30t^3
R'(t) = 90 t²
So, the average rate of change of R(t) is 90 t² .
Now, over the time interval [t, t + h], it will be as follows:
we know that, f'(t) = {f(t+h) - f(t)} / h
So, when h = 1, f'(1) = {f(1+1) - f(1)} / 1
= f(2) - f(1)
= 480 - 270 = 210
when h = 0.1 , f'(1) = {f(1+0.1) - f(1)} / 0.1
= {f(1.1) - f(1)} / 0.1
= (280 - 270) / 0.1 = 100
when h = 0.01 , f'(1) = {f(1+0.01) - f(1)} / 0.01
= {f(1.01) - f(1)} /0.01
= (271 - 270) / 0.01 = 100
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Thiago used the 20% off coupon and paid $100. Yasmine used the $20 off coupon. How much did she pay and how do you know?
Answers
Answer:
I suppose she also paid $100 because a 20% off from Thiago could mean that the original price was 120.
Step-by-step explanation:
URGENT URGENT
Pls this is needed urgently
1.) Common ailments of senior citizens are arthritis, arteriosclerosis and loss of hearing. A survey of 200 senior citizens found that 70 had arthritis, 60 had arteriosclerosis, 80 had loss of hearing, 35 had arthritis and arteriosclerosis, 33 had arthritis and loss of hearing, 31 had arteriosclerosis and loss of hearing and 15 had all three. How many of the senior citizens in the survey had; (1). none of these ailments, (f), arthritis but neither of the other two ailments, (iii), exactly one of these ailments, (iv). arteriosclerosis and loss of hearing but not arthritis, (v). arteriosclerosis or loss of hearing but not arthritis, (vi). exactly two of these ailments?
Answers
(i) none of these ailments, 26
(ii) arthritis but neither of the other two ailments, 17
(iii) exactly one of these ailments, 102
(iv) arteriosclerosis and loss of hearing but not arthritis, 16
We can use a Venn diagram to solve this problem.
Let A, B, and C represent the events of having arthritis, arteriosclerosis, and loss of hearing, respectively. Then, the given information can be represented as:
A = 70
B = 60
C = 80
A ∩ B = 35
A ∩ C = 33
B ∩ C = 31
A ∩ B ∩ C = 15
Using these values, we can find the answers to the questions:
(i) The number of senior citizens with none of these ailments is the complement of the union of A, B, and C. That is:
n(A ∪ B ∪ C)' = n(S) - n(A ∪ B ∪ C)
= 200 - (70 + 60 + 80 - 35 - 33 - 31 + 15)
= 26
Therefore, 26 senior citizens had none of these ailments.
(ii) The number of senior citizens with arthritis but neither of the other two ailments is:
n(A) - n(A ∩ B) - n(A ∩ C) + n(A ∩ B ∩ C)' = 70 - 35 - 33 + 15
= 17
Therefore, 17 senior citizens had arthritis but neither of the other two ailments.
(iii) The number of senior citizens with exactly one of these ailments is the sum of the complements of the intersections of the events. That is:
n(A' ∩ B ∩ C') + n(A ∩ B' ∩ C') + n(A' ∩ B' ∩ C) = (200 - 60 - 31 - 15 - 33) + (200 - 70 - 31 - 15 - 33) + (200 - 70 - 60 - 15 - 35) = 102
Therefore, 102 senior citizens had exactly one of these ailments.
(iv) The number of senior citizens with arteriosclerosis and loss of hearing but not arthritis is:
n(B ∩ C) - n(A ∩ B ∩ C) = 31 - 15 = 16
Therefore, 16 senior citizens had arteriosclerosis and loss of hearing but not arthritis.
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if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
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If you were to graph a sine function from the data listed in the table the days since Jan 8 is an independent variable and amount of moon visible is dependent variable
Given that, we have to graph a sine function from the data listed in the table
From the table we can see that there a two types of variables, The days since the Jan 8 and the amount of moon visible
The independent variable is defined as the variables that does not depends on any other variables
The dependent variable is defined as the variables that depends on other variables
Here the days since the Jan 8 does not depends on any other variables, so it is an independent variable. similarly the amount of moon visible depends on the days since Jan 8 value, so it is a dependent variable
Therefore, the days since Jan 8 is an independent variable and amount of moon light visible is dependent variable
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The given question is incomplete, the complete question is :
if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
-3x+8=5x-72 solve for x please
Answers
Answer:
x = 10
Step-by-step explanation:
[tex]-3x+8=5x-72[/tex]
Subtract 5x from both sides:
[tex]-3x+8-5x=5x-72-5x[/tex]
[tex]-8x+8=-72[/tex]
Subtract 8 from both sides:
[tex]-8x+8-8=-72-8[/tex]
[tex]-8x=-80[/tex]
Divide both sides by -8:
[tex]\dfrac{-8x}{-8} =\dfrac{-80}{-8}[/tex]
[tex]\boxed{x=10}[/tex]
3 of 93 of 9 questions question terry has won 18 of 35 chess games. sandra has won 24 of 36 chess games. terry wants to know how many of the remaining games she would have to win for her winning percentage to be greater than sandra's, given that sandra doesn't win any more games. let x represent the number of games remaining, and let y represent the number of games terry needs to win. which inequality represents this situation? responses 18 y35 x>2436 x 18 y35 x>2436 x 35 y18 x>2436 x 35 y18 x>2436 x 18 y35 x>36 x24 18 y35 x>36 x24 18 x35 x>2436 x
Answers
The inequality that represents this situation is y - 2x > 16.
Let's start by finding Terry's current winning percentage:
Terry's current winning percentage = 18/35 = 0.5143 (rounded to 4 decimal places)
We want to find out how many of the remaining games Terry needs to win for her winning percentage to be greater than Sandra's winning percentage, given that Sandra doesn't win any more games. Sandra's current winning percentage is:
Sandra's current winning percentage = 24/36 = 0.6667 (rounded to 4 decimal places)
Let x be the number of remaining games and y be the number of games Terry needs to win. Since there are a total of x remaining games and Terry wins y of them, she will have won a total of 18 + y games out of 35 + x games. Therefore, her winning percentage after winning y of the remaining games would be:
(18 + y) / (35 + x)
We want this winning percentage to be greater than Sandra's winning percentage:
(18 + y) / (35 + x) > 24/36
Multiplying both sides by 36(35 + x), we get:
36(18 + y) > 24(35 + x)
Simplifying the left-hand side:
36(18 + y) = 648 + 36y
Simplifying the right-hand side:
24(35 + x) = 840 + 24x
Substituting these simplifications back into the inequality, we get:
648 + 36y > 840 + 24x
Simplifying:
12y - 24x > 192
Dividing both sides by 12:
y - 2x > 16
Therefore, the inequality that represents this situation is:
y - 2x > 16
So Terry needs to win more than twice as many remaining games as the number of games Sandra has won more than her in order to have a winning percentage greater than Sandra's winning percentage.
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Ok I know it’s late but I really need help with these problems and no one can help me so can someone please help and explain. I know it’s a lot but I’m really confused, thank you so much.
Answers
Answer:
1. x = 0.75
2. p = 4
3. L = 11
4. t = 42
Step-by-step explanation:
1. The price of pen is x, then
=> 6x + 24 = 28.5
=> 6x = 4.5
x = 4.5/6 = 0.75
2. p is the number of lbs
=> 2p + 50 = 58
2p = 8
p = 4
3. Perimeter = 2(L + W)
2(L + 4) = 30
=> 2L + 8 = 30
2L = 22
L = 11
4. t is the number of tickets
3t + 24 = 150
3t = 126
t = 126/3 = 42
Find the area of the polygon in square units.
Answers
The area of the polygon is 7.5 square units
How to determine the area of the polygonNote that the polygon given in the diagram takes the shape of a kite.
The properties of a kite are given as;
It two pairs of adjacent equal sidesIt has one pair of opposite angles that are equalThe diagonals are equalThe shorter diagonal forms two isosceles trianglesThe longer diagonal forms two equal trianglesThe diagonals are perpendicular to each otherThe formula for area of a kite is;
Area = pq/2
Area = 3(5)/2
Area = 15/2
Divide the values
Area = 7.5 square units.
Thus, the value is 7.5 square units
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question 6
help me asap
Answers
The approximate length of arc CB is given as follows:
14.17 cm.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the multiplication of 2 by the number π = 3.14 and the radius r, as follows, hence the equation is given as follows:
C = 6.28r.
The radius for this problem is given as follows:
r = 7 cm.
The angle relative to arc CB is given as follows:
2 x 58º = 116º.
As an entire circumference has an angle of 360º, the approximate length of arc CB is obtained as follows:
116/360 x 6.28 x 7 = 14.17 cm.
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To estimate the percentage of a state's voters who support the current governor for reelection, three newspapers each survey a simple random sample of voters. Each paper calculates the percentage of voters in its sample who support the governor and uses that as an estimate for the population parameter. Here are the results:
Answers
Answer:
No OK so A. is the correct answer I think
Nayeli is going to an amusement park. The price of admission into the park is $40,
and once she is inside the park, she will have to pay $2 for every ride she rides on.
How much money would Nayeli have to pay in total if she goes on 9 rides? How much
would she have to pay if she goes on r rides?
Answers
Answer:
Step-by-step explanation:
The total cost for Nayeli to enter the amusement park is $40. If she goes on 9 rides, the cost for the rides would be 9 * $2 = $18. Therefore, the total cost for Nayeli to enter the park and go on 9 rides would be $40 + $18 = $58.
To find the total cost if she goes on r rides, we can use the formula:
Total cost = $40 + r * $2
So, if Nayeli goes on r rides, she would have to pay $40 + r * $2 in total.
To calculate the total cost, multiply the number of rides by the cost per ride and add it to the admission price.
To calculate the total amount Nayeli would have to pay if she goes on 9 rides, we need to first calculate the cost of admission. The admission price is $40. Then, we multiply the number of rides (9) by the cost per ride ($2) and add it to the admission price to get the total cost.
Total cost = Admission price + (Number of rides x Cost per ride) = $40 + (9 x $2) = $40 + $18 = $58.
If Nayeli goes on 'r' rides, we can use the same formula to calculate the total cost. The total cost would be the admission price ($40) plus the product of the number of rides ('r') and the cost per ride ($2). Total cost = $40 + (r x $2) = $40 + $2r.
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See had some cherries. Every day he ate 10 cherries and gave 5 away. After he gave that last 5 cherries away he had eaten 40 cherries altogether. How many cherries did Seb have at the start?
Answers
50 must have been his starting number of cherries.
Seb had 50 cherries at the start. This can be determined by solving the equation 10x + 5 = 40, where x is the number of days he ate 10 cherries and gave 5 away. When you solve the equation, you get x = 5, meaning he did this 5 times. Since 10x is 50, and 5 is added to that, the total is 50. Therefore, Seb had 50 cherries at the start.
To solve the equation, you first need to subtract 5 from both sides to get 10x = 35. Then, divide both sides by 10 to get x = 3.5. Since Seb could not have eaten 3.5 days worth of cherries, it means that he did the 10 and 5 activity 4 times, giving him 40 cherries before giving away the last 5. So 40 + 5 = 45 and 10x = 50, so 50 must have been his starting number of cherries.
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the median should often be used to describe: select one: a. normal distributions. b. skewed distributions. c. large distributions. d. percentages.
Answers
The median should be used to describe a normal or skewed distribution, as it is a better measure of the central tendency than the mean for these types of distributions.
The median is a better measure of the central tendency than the mean when describing a normal or skewed distribution. A normal distribution is a symmetrical distribution of data in which values are evenly spread around the mean. A skewed distribution is when one side of the distribution is longer than the other, with the mean being pulled away from the center. The median is the most appropriate measure of central tendency for both normal and skewed distributions because the mean can be distorted by outliers and extremes in the data. The median is the midpoint in the data and provides a better representation of the middle of the distribution, which can be useful in interpreting the data. Using the median to describe a large distribution or percentage is not as common as it is better to use the mean or mode for these types of distributions.
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a scratch off lottery ticket can be purchased for $2. there are multiple prize options, shown along with the probability, in the table below. what is the expected win (or loss) for this lottery ticket? round your answer to the nearest cent. do not round until your final answer.
Answers
a result of -$2.00, indicating that, on average, you will lose $2.00 when buying this lottery ticket.
Lose (-$2.00)
The expected win (or loss) for this lottery ticket is -$2.00.
The expected win (or loss) for this lottery ticket is calculated by multiplying the prize amount by the probability of winning and then subtracting the cost of the ticket.
($50 x 0.1%) - $2 = -$2.00
The expected win (or loss) for this lottery ticket is calculated by multiplying the prize amount of $50 by the probability of 0.1% (or 0.001) of winning and then subtracting the cost of the ticket, which is $2. This gives us a result of -$2.00, indicating that, on average, you will lose $2.00 when buying this lottery ticket.
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a bag contains red and white balls. the ratio of red to white balls is 3:4. if the bad contains 36 white balls then find the number of red balls?
Answers
Answer:
P (of red ball) = 1 - ( 310 + 25 ) = 1 - (3 + 410 ) = 1 - 710 = 10 - 710 P (of red ball) = 310 No. of black balls = 20total no. of balls 25 = 20total balls
Step-by-step explanation:therya goo
Answer:
48
Step-by-step explanation:
If the ratio is 3:4, we can just divide 35 by 3.
Then we get 12, and to get the red balls we can multiply by 4 because that is the ratio
4*12= 48
there are 48 red balls
FIRST 2 PEOPLE TO ANSWER GET POINTS AND BRAINLIEST!!!
Answers
Answer: $44.04
Step-by-step explanation: Add up all the prices 13.75+15.85+11.95 which is 41.55. Now times 41.55 by 6% which is 2.493. Now add the total and the tax. 41.55 + 2.493 = $44.04 as the final total.
which expression is equivalent to log12x^4√ x^3-2/(x+1)^5?
Answers
Answer:
D
Step-by-step explanation:
Tell me if u need explain
Factor 26r³s
O 13(2r³s + 475-37²54)
037²s(27+ 47³-38³)
O 13r²(2rs + 4r3 – 384)
O 13r²(26r³s + 527-5-39²4)
+5275-39724. What is the resulting expression?
Answers
The factor of the algebraic expression is 13r²(2rs + 4r³ - 3s⁴).
option C is the correct answer
What is the factor of the algebraic expression?
The factor of the algebraic expression given as
26r³s + 52r^(5) - 39r²s⁴
can be determined by finding the highest common factor and factorize it out.
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus, in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
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The complete question is below:
Factor 26r³s + 52r^(5) - 39r²s⁴
A. 13(2r³s + 475-37²s⁴)
B. 37²s(27+ 47³-38³)
C. 13r²(2rs + 4r³ – 3s⁴)
D. 13r²(26r³s + 527-5-39²4)
please help idek how to slove this give a step by step too please
Answers
Answer:
x = 3/85
Step-by-step explanation:
log2 (6) - log2 (5x) = log2 ( 34)
We can use the properties of logs.
First subtract log2 (6) from each side.
log2 (6) - log2 (5x) - log2 (6) = log2 ( 34)-log2 (6)
- log2 (5x) = log2 ( 34)-log2 (6)
Now we know that log a - log b = log a/b
- log2 (5x) = log2 ( 34/6)
- log2 (5x) = log2 ( 17/3)
Multiply each side by -1
log2 (5x) = -log2 ( 17/3)
We know that -log (a/b) = log ( b/a)
log2 (5x) = log2 ( 3/17)
The terms inside the logs must be the same
5x = 3/17
Divide each side by 5
5x/5 = 3/17 * 1/5
x = 3/85
justin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours. what is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours? (round your answer to three decimal places.)
Answers
The probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.
In the question Justin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours and we have to find what is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours.
This can be calculated using the Poisson distribution formula, P(X > 5) = 1 - P(X ≤ 5).
P(X > 5) = 1 - P(X ≤ 5)
= 1 - (P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5))
= 1 - (0.0022 + 0.0133 + 0.0514 + 0.1245 + 0.2141 + 0.2769)
= 0.8351
Therefore, the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.
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- a gambler offers you to pay even odds if you get 9, 10 or 11 heads in 20 tosses. should you take the bet?
Answers
Write an equation in point-slope form for the given point and slope:
Point: (4, -6)
Slope: 2
Answers
Answer:
y = 2x -14
Step-by-step explanation:
The point-slope form is y = mx + b
m = 2
y-intercept is located at (0, -14)
So, the equation is
y = 2x - 14
Answer:
y-6=2(x-4)
Step-by-step explanation:
point-slope form y-y1=m(x-x1)
what the hell is a plane
Answers
21. Given h(x) = -x-14, if h(x) = -2, find x.
Answers
Answer:
Step-by-step explanation:
stop searching answers poopers use ur mind
Answer:
-12
Step-by-step explanation:
Substitute x with -2
-(-2)-14
2-14 = -12
Nicole james and jenny shared one - third of pizza. What fraction of the the whole pizza did each of them receive
Answers
The fraction of pizza that each of them gets out of the whole pizza is 1/9.
What is meant by a fraction?
The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. A piece or sector of any quantity is another name for the fraction. Some of the different types of fractions are:
proper fractions, improper fractions, mixed fractions and so on.
Given 1/3rd portion of the pizza is shared by Nicole, James and Jenny.
Let us are assuming they shared the 1/3rd portion equally among themselves.
Then,
1/3 pizza = 3 people
1 person = 1/(3*3) = 1/9
Therefore the fraction of pizza that each person gets out of the whole pizza is 1/9.
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6x +16 += 2x+28
How do you do this??
Answers
From the given question above we can conclude that when 6x +16 += 2x+28 , then the value of x is 3.
What is Linear Equation?
A linear equation is a mathematical expression in which the highest power of the variable is 1. It can be written in the form of:
y = mx + b
where y and x are variables, m is the slope of the line, and b is the y-intercept of the line. This form is called the slope-intercept form of a linear equation.
To solve the equation 6x + 16 = 2x + 28:
Simplify both sides of the equation by combining like terms:
6x + 16 = 2x + 28
Subtract 2x from both sides:
4x + 16 = 28
Subtract 16 from both sides:
4x = 12
Solve for x by dividing both sides by 4:
4x = 12
x = 3
Therefore, the solution to the equation 6x + 16 = 2x + 28 is x = 3.
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Anna runs 3/4 miles in 6 minutes, or 1/10 hour. Assuming she runs at a constant rate, what is her speed, in miles per hour?
Answers
Speed of Ana = 7.5miles/hour
Step-by-step explanation:
Given,
Ana runs 3/4 mile in 6 minutes.
To find,
The speed of Ana in miles per hour
Recall the formula,
Speed = distance travelled/time taken
60 minutes = 1 hour
Solution:
Distance traveled = 3/4 mile
Time taken = 6 minutes
Since 60 minutes = 1 hour, we have
1 minute =1/60 hour
6 minutes = 6/60 hour
=1/10 hour
Hence speed = distance travelled/time taken
= 3/4 / 1/10 miles/hour
= 15/2 miles/hour
= 7.5miles/hour
∴ Speed of Ana = 7.5miles/hour
a. Starting with the number 10, build a sequence of 5 numbers.
Answers
Answer:
Step-by-step explanation:
10, 20, 30, 40, 50
help me plssssssssss
