Answer:
original number: 27
reversed number: 72
Step-by-step explanation:
Let the tens place digit = a
Let the units place digit = b
⇒ Original two-digit number = 10a + b
⇒ Reversed two-digit number = 10b + a
If the reversed two-digit number is 9 less than 3 times the original number:
⇒ 10b + a = 3(10a + b) - 9
⇒ 10b + a = 30a + 3b - 9
⇒ 7b = 29a - 9
If the different of the two numbers is 45 (and the reversed number is larger than the original number):
⇒ (10b + a) - (10a + b) = 45
⇒ 10b + a - 10a - b = 45
⇒ 9b -9a= 45
⇒ 9(b - a)= 45
⇒ b - a= 5
⇒ b = 5 + a
Substitute b = 5 + a into 7b = 29a - 9 and solve for a:
⇒ 7(5 + a) = 29a - 9
⇒ 35 + 7a = 29a - 9
⇒ 44 = 22a
⇒ a = 2
Finally, substitute the found value of a into b = 5 + a and solve for b:
⇒ b = 5 + 2 = 7
Therefore,
original number: 27reversed number: 72Which expression is equivalent to [4(x + 9)]/ 2/3
Answer:
36+2.67
Step-by-step explanation:
I hope this is correct
press the link and tell the answers pls
Answer:
wE NEED MORE CLARIFICATION
Step-by-step explanation:
What is the equasion
What is the link
Answer:
im passing this concept trust me answer is 34.8
Step-by-step explanation:
What’s the answer to this question
Answer:I guess
represent
expression
degree of 4
PLEASE HELP WILL MARK BRAINLIEST
Answer:
17/18pi or 2.97
Step-by-step explanation:
170 degrees to radian
170 * pi / 180 degrees
so, 170pi/180
17/18pi or 2.97
thrill drop to nearest food. Number of minutes
What is the sum of a seven-term geometric series if the first term is -2, the last term is
-31,250, and the common ratio is -5?
Answer:
-26042
Step-by-step explanation:
sum of a finite geometric series =
[tex]\frac{a_1(1-r^n)}{1-r}[/tex]
here, a1 is the first term, r is the common ratio, and n is the number of terms
a1 = -2
r = -5
n = 7
[tex]\frac{a_1(1-r^n)}{1-r} = \frac{-2(1-(-5)^7)}{1-(-5)} = -26042[/tex]
Why is dividing a fraction by 3 and then multiplying by 2 the same as multiplying by 2/3?
please i need it now
For which value of a does Limit of g(x) as x approaches alpha not exist?
The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
Limit of a functionThe limit of a function is the limit of a function as x tends to a value.
From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.
Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
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Yesterday, there were 80 problems assigned for math homework. Deb got 72 problems
correct and 8 problems incorrect. What percentage did Deb get correct?
Answer:
90%
Step-by-step explanation:
Do 72/80 to find the decimal
72/80=0.9
Then to convert decimal to percent move the decimal point two times to the right.
0.9=90%
Will give 100 points if you answer im so tired please answer fast
Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$ The mean absolute deviation is . The values differ from the mean by an average of .
Using it's concept, it is found that:
The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.In this problem, the mean of the data-set is given by:
M = (4.6 + 8.5 + 7.2 + 6.6 + 5.1 + 6.2 + 8.1 + 10.3)/8 = 7.075.
Hence, the mean absolute deviation is given by:
MAD = (|4.6-7.075| + |8.5-7.075| + |7.2-7.075| + |6.6-7.075| + |5.1-7.075| + |6.2-7.075| + |8.1-7.075| + |10.3-7.075|)/8 = 1.45
Then:
The mean absolute deviation is 1.45.The values differ from the mean by an average of 1.45.More can be learned about the mean absolute deviation at https://brainly.com/question/3250070
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In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 5
Please solve this for me!!!!
Step-by-step explanation:
Howdy there :)
To describe the transformation of the parent logarithmic function, you just need to follow these rules
1. A + on the outside of the parentheses will mean a vertical shift upwards. As such, the transformation is moved 5 units up. If it was -, it would move 5 units down.
2. The inside of the parentheses will result in a horizontal shift right 4 units. The rule to remember is that these kinds of functions follow x(a - b) rules, meaning that when the 4 is subtracted, we are really talking about a positive four, unlike in standard arithmetic. Vice versa, a + 4 will mean a -4 four, since a - -4 is the same as a + 4. As such, we will move in the positive direction (right) on the y axis.
3. Since x is now -2x, we are reflecting about the y axis, meaning the function will switch from left to right or right to left.
4. The 2 in front of it represents a vertical dilation by a factor of 2. This is because our constant, 2, is greater than 1. If the number were in between 0 and 1, it would represent a vertical compression by the constant number.
I need the answer urgently please !!
Answer:
y = 2x
Step-by-step explanation:
Parallel line share the same slope, therefore we can put any parallel line of y = 2 (x + 1) in equation as: y = 2x + k
As the parallel has to intercept with point (2/3, 1/3), simply put the coordinate into the equation to get value of k
2/3 = 2(1/3) + k
k = 0
Therefore the equation of this parallel line is y = 2x
Write an equation of the line that passes through the point (6,-9) with the given slope m= 3
Answer:
[tex]y = 3x - 27[/tex]
Step-by-step explanation:
[tex]y - y0 = m(x - x0) \\ y - ( - 9) = 3(x - 6) \\ y + 9 = 3x - 18 \\ y = 3x - 27[/tex]
100 POINTS!! NEED ANSWER WITH WORK ASAP!!
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
How many different groups of three players are possible for Coach Bennet to select?
Answer:
See below ~
Step-by-step explanation:
This is a combination because the order in which the players are selected is not important.
Number of ways
14! / 11! 3!14 x 13 x 12 x 11! / 11! x 3 x 214 x 13 x 2364 waysApply combination
[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So
[tex]\\ \rm\Rrightarrow ^{14}C_3[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}[/tex]
[tex]\\ \rm\Rrightarrow 14(13)(2)(11)[/tex]
[tex]\\ \rm\Rrightarrow 4004[/tex]
find the equaton of the line passing through the points (2,11) and (-8, -19) y= ?x ?
Find the slope:
(-19 - 11) / (-8 - 2) = (-30/-10) = 3
Find the y intercept:
y = mx + b
11 = 3(2) + b
b= 5
So equation is:
y = 3x + 5
There are 30 days in November.
It’s rains on 3/5 of them
Work out the number of days when it does not rain.
(3/5) × 30 = 3 × 6 = 18 days it won't rain
30 - 18 = 12 days it will rain
hope it helps...!!!
Celine hosts a podcast about computers, and Paul hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content. This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes. How long is each episode?
Using a system of equations, it is found that each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
Variable x: Length of a Celine episode.Variable y: Length of a Paul episode.Last year, Celine released 39 episodes and Paul released 42 episodes, for a total of 7,869 minutes of content, hence:
39x + 42y = 7869
Then:
[tex]y = \frac{7869 - 39x}{42}[/tex]
This year, Celine released 14 episodes and Paul released 41 episodes, which lasted a total of 6,117 minutes, hence:
14x + 41y = 6117.
Since [tex]y = \frac{7869 - 39x}{42}[/tex]:
[tex]14x + 41\frac{7869 - 39x}{42} = 6117[/tex]
14x - 38.07x = -1564.64.
x = 1564.64/24.07
x = 65.
[tex]y = \frac{7869 - 39 \times 65}{42} = 127[/tex]
Hence, each Celine episode is 65 minutes long and each Paul episode is 127 minutes long.
More can be learned about a system of equations at https://brainly.com/question/24342899
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8 - 3(2-(3 + 1)2 = 8.2)
Which of the following are NOT organizational structure for an informative essay?
A. cause and effect
B. chronological
C. equal parts
D. problem solving
A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of $0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the lower price, should the formula use a z-value that is greater than or less than -1?
I couldn't figure out how to answer a specific question on the site, but the answer is "Less than -1" because they are looking for a price that is lower then the average, or mean price. It should be -1 standard deviation or lower.
Hope this helps someone
To determine the lower price, the formula should use a z-value that is less than -1.
How to utilize the z-value?We are given;
Mean; x' = $6.32
Standard deviation; s = $0.47
A positive z-score indicates the raw score is higher than the mean average while a negative z-score indicates the raw score is below the mean average.
Now, we want to find out the lower price from the definition above, we have to use a negative z-score which in this case will be -1.
Read more about Z-value at; https://brainly.com/question/25638875
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Assume you are going to buy a new Nissan Rouge priced at $28250 and after the deal you have found out that the sales tax is 10%. Estimate the answer.
Answer:
≈2825
Step-by-step explanation:
28250*10%≈2825
Pay attention to the ≈ sign
Find the sum of the series:
It diverges
Step-by-step explanation:
it is an alternating sequence hence it will diverge
Identify the range of the exponential function?
Answer:
The range of an exponential function, or any function is all the possible y values the function can spit out.
In MOST exponential functions they will be x>0
I am talking about the standard form: y = a * b^x
I cannot tell you the range for YOUR exponential function without seeing it first.
5. A square on the coordinate plane has vertices
at A(-3,0), B(1, 2), C(2,-1), and D(-2,-4). After a
dilation using a scale factor of 3, what are the
new coordinates of D'?
Reason:
Multiply each coordinate of D(-2,-4) by the scale factor 3 to get (-6, -12)
In other words, triple each coordinate of point D.
This trick only works if the center of dilatioin is the origin.
help help help help help help
Answer:
The scale factor is 5 because the increase in each side of the shape is *5
89 90 91 92 96 96 99 99 find the median
Answer: The median is 96
Step-by-step explanation:
Carmen has 4 baby bunnies. Each bunny weighs 1/5 of a pound. How much do the bunnies weigh all together?
Step-by-step explanation:
The answer is 0.8 as a fraction is 4/5
The sum of two numbers is -34. The difference of the two numbers is 14. What are the two numbers?
Answer:
the no. are -10 and -24
when we add -10 with -24 we get -34
The volume of a box is 9cm³ and its base area is 20cm². What is the height of the whole box
Answer:
0.45 cm
Explanation:
In order to find the height of any shape given the volume and base area.
Simply divide the volume by the base area.
Here given:
Volume: 9 cm³Base area: 20 cm²Height:
volume ÷ base area = 9 ÷ 20 = 0.45 cm