a deck of 100100 cards is numbered from 11 to 100100. each card has the same number printed on both sides. one side of each card is red and the other side is yellow. barsby places all the cards, red side up, on a table. he first turns over every card that has a number divisible by 22. he then examines all the cards, and turns over every card that has a number divisible by 33. how many cards have the red side up when barsby is finished?
Using simple Algebra operation,
Total 17 cards are remianed on table which have the red side up when barsby is finished.
We have the following information about questions:
A deck of 100 cards is numbered from 1 to 100 .same number is printed both sides and colour of one side is red and other is yellowall cards are place such that red colour side top upso, we conclude that,
total number of possible outcomes= 100
In first turn, Sarai , flips up all cards which is divisible by 2
then, the faouable cases that flip card which have a number is divisible by 2 = 50 i.e ={ 2,4,6,8,----,100}
thus, 50 cards are came in position that yellow colour top up .
In second time, she flips the card such that card has a number divisible by 3
favoulbe cases in this case = 33
so, these 33 cards are also came in position that yellow colour top up.
Now, the numbers of cards in which yellow colour side is top up = 33+50 = 83
we have to calculate the number of cards with red colour side top up.
so, the number of cards with red colour side top up = total cards - yellow colour side top up cards
= 100 - 83 = 17
Hence, after the fliping process, total 17 cards are remianed on table with red colour side at top.
To learn more about Algebra operation , refer:
https://brainly.com/question/27985272
#SPJ4
The difference between a number and 22 is 57. what is the number
Answer:
79
Step-by-step explanation:
The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.
Giải phương trình : 2cot^3x- cot^2x- 13cotx -6
Answer:
ok
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((2cot3 • x) - cot2x) - 13coxs) - 6
STEP
2
:
Checking for a perfect cube
2.1 2cot3x-cot2x-13coxs-6 is not a perfect cube
Final result :
2cot3x - cot2x - 13coxs - 6
Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?
Answer:
18 More Minutes
Step-by-step explanation:
Hi,
I think I can help.
What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.
To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.
But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)
So we can do :
40 / 4
=
10%
Also
12 / 4
=
3
So with this we can conclude that 10% of his total time is 3 minutes.
Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.
So :
10% x 10
=
100%
3 x 10
=
30 minutes
So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.
We can now simply take the total time and take off the time spent already to find this answer :
30 - 12
=
18 minutes
That is your answer, he needs to study 18 more minutes.
I hope this helps!
If you have any questions or concerns please comment or message me! :)
Hi guys! I need help- if anyone can help then tysmm <3
Answer:
There are [3] puppies that are male and [2] puppies that are white females.
There are [5] puppies that are male, white, or both.
The probability that a puppy will be male, white, or both is [5-7 or ~71%]
Answer: Probability that she’ll get a male dog: 3/7. Probability of a white dog:4/7. Probably of a male or white dog:5/7
Step-by-step explanation: there are 7 dogs in total. Since 3 of them are male, the probability of getting a male dog is 3/7. Since there are 4 white dogs, 4/7. Since there’s 3 males dogs, 2 of which are white, and another 2 that are white that aren’t male, it’s 5/7...if I’m correct
PLEASE HELP ASAP!! WILL GIVE OUT BRAINLIEST!
Answer:
y= -x+2, f(x) = -x+2
Step-by-step explanation:
the slope-intercept form is
y= mx+b where mis the slope and b is the y-intercept
here b=2 because is where the line intersects the y-axis
slope m= rise/run = -1/1 = -1
y= -x+2
in standard form is
f(x) = -x+2
Find M a
A.
49
B.
35
C.
95
D.
275
Answer:
85
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
A + B+ C = 180
A +72+ 23 = 180
Combine like terms
A + 95 = 180
Subtract 95 from each side
A +95-95 = 180-95
A =85
In preparinq for a party, the cook used 9 pounds of potatoes for 30 people. How many
pounds of potatoes will be needed for a partv of 175 people?
To find out how many pounds of potatoes will be needed for a party of 175 people, we need to use a proportion.
We know that for 30 people, the cook used 9 pounds of potatoes. We can set up the proportion:
9 pounds / 30 people = x pounds / 175 people
We can cross-multiply and solve for x:
9 pounds * 175 people = 30 people * x pounds
1575 = 30x
x = 52.5
So for a party of 175 people, we will need 52.5 pounds of potatoes.
It's important to note that this calculation assumes that each person will be served the same amount of potatoes. Depending on the dish being served, this may not be the case. Additionally, it's always a good idea to have extra food on hand in case unexpected guests show up or people eat more than anticipated.
To Know more about multiply visit;
https://brainly.com/question/30875464
#SPJ11
Brainlist if you answered it correctly and give a well done explanation
Answer:
Its A
Step-By-Step Explanation:
An unknown number y is 15 more than an unknown number x. The number y is also x less than 8. The equations to find x and y are shown below.
y = x + 15
y = −x + 8
Which of the following statements is a correct step to find x and y?
and could somebody please give me a step by step explanation
Answer:
x = −3.5
y = 11.5
Step-by-step explanation:
y = x + 15
y = −x + 8
[We know that y is 15 units more than x, and that −x is 8 units less than y. That can be combined into −x + 8 = x + 15 for the first variable (x), and for the second variable (y), y − 15 = −y + 8]
↓
In order to solve this, solve for the first variable in one of the equations, then substitute the result into the other equation.
↓
x = −\(\frac{7}{2}\) = −3.5
y = \(\frac{23}{2}\) = 11.5
2 + 2 =?
Don't worry these are just some "for you" points?
when two ads two the result will be 4 like this
2+2=4
DEFINATION OF HABIT IN 50 WORLDS?
Answer:
Something you do frequently or on a regular basis is known as a habit.
When he gets nervous, he has a cute habit of licking his lips. [includes]
...an investigation into the eating habits of people in the United Kingdom.
Step-by-step explanation:
I need you to solve for X
Answer:
x=5.3
Solving:
6*x, 4*8
these are both 90 degree angles, but what is the solution for x?
8*4=32 solving the area, so we need to get the same thing for the other
32 divided by 6 equals 5.333 repeating
Nearest tenth huh?
5.3
so X=5.3
MARK ME BRAINLIEST PLZ <3
You plan to retire in 30 years. After that, you need $75,000 per year for 20 years (first withdraw at t=31 ). At the end of these 20 years, you will enter a retirement home where you will stay for the rest of your life. As soon as you enter the retirement home, you will need to make a single payment of 2 million. You want to start saving in an account that pays you 8% interest p.a. Therefore, beginning from the end of the first year (t=1), you will make equal yearly deposits into this account for 30 years. You expect to receive $350,000 inheritance at t=30 from your late uncle and you will deposit this money to your retirement account. What should be the yearly deposits?
6587.25
7198.40
8066.36
8744.81
The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value of the annuity
P = Yearly deposit amount
r = Interest rate per period
n = Number of periods
In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).
Using the given formula:
2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08
Simplifying the equation:
2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08
2,000,000 = P * [10.063899 - 1] / 0.08
2,000,000 = P * 9.063899 / 0.08
Dividing both sides by 9.063899 / 0.08:
P = 2,000,000 / (9.063899 / 0.08)
P ≈ 2,000,000 / 113.298737
P ≈ 17,650.23
Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
Learn more about yearly deposits
brainly.com/question/31681833
#SPJ11
Which one blue, light blue , yellow or red
Step-by-step explanation:
I just answered this. how often did you post this question ?
the answer is light blue.
On Friday, 2/3 of the pizzas sold at a local pizzeria were larges. Of the large pizzas, 1/5 were cheese pizzas. What portion of the pizzas sold were large cheese pizzas?
A number more than 1.
Answer:
there is no more number than one
Step-by-step explanation:
if The area of a triangle is 84 square meters. What is the base if the height is 12 meters?
Answer:
14
Step-by-step explanation:
PLEASE HELPPPP
ITS DUE SOON , LIKE 5 MINUTES SOON
The simplified form of the expression is h^5/5^1.
What is the simplified form?In mathematics, to simplify mean to write a value in the lowest possible form that it can take. If we do that, we will have the form in which the expression can never be reduced further.
In this case we have the expression;
(h^2/5) . (h^3/5)^5/(h^2/5)^6
h^2/5 . h^15/5/h^12/5
h^17/25/h^12/5
h^17/25 * 5/h^12
h^5/5^1
Learn more about simplification:https://brainly.com/question/27951632
#SPJ1
find a power series for the function, centered at c. f(x) = 8 3x 2 , c = 5
The power series for the function\(f(x) = 8/(3x^2)\), centered at c = 5, is \(8/75 - 16/375(x-5) + 48/9375(x-5)^2 - 64/78125(x-5)^3 + ...\)
To find the power series for the function \(f(x) = 8/(3x^2)\)centered at c = 5, we can use the formula for the Maclaurin series:
\($f(x) = f(c) + \frac{f'(c)}{1!}(x-c) + \frac{f''(c)}{2!}(x-c)^2 + \frac{f'''(c)}{3!}(x-c)^3 + ...$\)
First, we need to find the derivatives of f(x):
\(f(x) = 8/(3x^2)\)
\(f'(x) = -16/(3x^3)\)
\(f''(x) = 48/(3x^4)\)
\(f'''(x) = -192/(3x^5)\)
Next, we evaluate these derivatives at c = 5:
\(f(5) = 8/(35^2) = 8/75\)
\(f'(5) = -16/(35^3) = -16/375\)
\(f''(5) = 48/(35^4) = 48/9375\)
\(f'''(5) = -192/(35^5) = -64/78125\)
Plugging these values into the formula, we get:
\(f(x) = 8/75 - 16/375(x-5) + 48/9375(x-5)^2 - 64/78125(x-5)^3 + ...\)
This is the power series for f(x) centered at c = 5.
Learn more about power series here:
https://brainly.com/question/14300219
#SPJ1
does anyone know how to do this by solving with substitution
Answer:
Step-by-step explanation:
Question 1
System of equations is,
y = -6x -------(1)
y = -4x - 2 ---------(2)
Substitute the value of y from equation (1) to equation (2)
-6x = -4x - 2
-6x + 4x = -2
-2x = -2
x = 1
From equation (1)
y = -6(1)
y = -6
Question (2)
System of equations is,
-y = x --------(1)
3x + 5y = 20 ---------(2)
Substitute the value of x from equation (1) to equation (2)
3(-y) + 5y = 20
-3y + 5y = 20
2y = 20
y = 10
From equation (1)
-y = x
x = -10
Question (3)
System of the equations is,
y = -2x - 7 --------(1)
9x - 10y = 12 ----------(2)
Substitute the value of y from equation (1) to equation (2)
9x - 10(-2x - 7) = 12
9x + 20x + 70 = 12
29x = 12 - 70
29x = -58
x = -2
From equation (1)
y = -2(-2) - 7
y = 4 - 7
y = -3
A vector
A
has components A
X
=83 m and A
y
=32 m. What is the magnitude of vector
A
?
The magnitude of vector A of the following components AX and AY is 88.95m
In this question we will apply the pythagoras theorem which will be depicted as
\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)
where , R = resultant magnitude of vector
AX and AY are the components of vector
As per the question
AX = 83m
AY = 32m
Putting the values in the equation (1) we get
\(R= \sqrt{83^{2} +32^{2} }\)
\(R =\sqrt{6889+1024}\)
\(R=\sqrt{7913}\\\)
R = 88.95m
Thus the magnitude of vector A for the following components is 88.95m
To learn more about vectors
https://brainly.com/question/30817683
https://brainly.com/question/25705666
If quantity demanded for sneakers falls by 6 percent when price increases 20 percent, we know that the absolute value of the own price elasticity of sneakers is multiple choice 0.7. 2.3. 0.3. 3.3.
Answer:
0.3
Step-by-step explanation:
→ State formula
Δ Quantity demanded ÷ Δ Price
→ Substitute in the numbers
6 ÷ 20 = 0.3
Max bought two items that were both on sale one item was 10% off and one item was 20% off max says that he saved 15% althogether is he correct?
Answer:
yes
Step-by-step explanation:
No, Max was wrong about his claim. Max saved 30% altogether.
Let the first item be (a) Let the second item be (b)Discount Offer
a = 10%b = 20%For the two items, the total discount that Max saved was
= (10 + 20)%
= 30%.
Averagely, if we are to determine the average discount for each of the items, we have:
= 30% ÷ 2
= 15%
So, on each item, Max saved 15% on average.
Therefore, we can conclude that Max saved 30% altogether for the two items.
Learn more about percentage here:
https://brainly.com/question/2155156?referrer=searchResults
The minimum wage in 1975 was $2.00. The minimum wage in 2010 was $7.25. Find the average rate of change of the minimum wage from 1975 to 2010. (Round to nearest hundredth) 0.08 $/yr 0.08 $/yr , 0.08 yr/$ 0.08 yr/$ , 0.15 yr/$ 0.15 yr/$ , 0.15 $/yr
Answer: $0.15/Yr
Step-by-step explanation:
Difference in year 2010- 1975= 35
Range = 7.25 - 2 = 5.25
Per year = 5.25/ 35
Is 1 out of 2 greater or less than 1 out of 4
Answer: less than 98765456787654567 (dont mind the random number
Answer:
it is greater than.
Step-by-step explanation:
your question:
1/2 >/< 1/4?
1/2 means 1 cut into 2 pieces.
1/4 means 1 cut into 4 pieces
one of the 2 pieces are bigger than one of the 4 pieces.
therefore, 1/2 is greater than or > 1/4.
Which equation best represents the curve of best fit for this data?
A.
f(x) = 51.5 • 1.08x
B.
f(x) = 55.5 • 0.92x
C.
f(x) = 55.5 • 1.08x
D.
f(x) = 51.5 • 0.92x
The equation of graph which best represents the curve of best fit for this data is,
⇒ y = 51.5 (0.92)ˣ
We have to given that,
To find equation which best represents the curve of best fit for this data.
Let us assume that,
The equation is,
⇒ y = abˣ
Now, We can see that,
As the graph shows,
⇒ The curve is decreasing.
Hence, The value of b is less than 1.
⇒ b < 1
At x = 0;
f (0) = ab⁰
51.5 = a
a = 51.5
Therefore, The equation of graph which best represents the curve of best fit for this data is,
⇒ y = 51.5 (0.92)ˣ
Learn more about the equation visit:
brainly.com/question/28871326
#SPJ1
What is 7/10-1/2?
Pls I really need this answer
Answer:
To subtract 1/2 from 7/10, we need to find a common denominator. The least common multiple of 2 and 10 is 10, so we can convert 1/2 to 5/10:
7/10 - 5/10 = (7 - 5)/10 = 2/10 = 1/5
Therefore, 7/10 - 1/2 = 1/5.
Answer:
To subtract 1/2 from 7/10, we need to find a common denominator. The least common multiple of 2 and 10 is 10, so we can convert 1/2 to 5/10:
7/10 - 5/10 = (7 - 5)/10 = 2/10 = 1/5
Therefore, 7/10 - 1/2 = 1/5.
please help!! will give brainliest
Answer: 320
Step-by-step explanation:
Step 1) Identify Number of options for each set
For the entree, you have 4 options, for the sides, you have 4 options, and for the drink you have 5
Step 2) Find all possible outcomes
4 options for the entree × 4 options for the first side × 4 options for the second side × 5 options for the drink
Step 3) Solve
4 × 4 × 4 × 5 = 320
(06.01)
Write the following expression in exponential form:
1.6 × 1.6 × 1.6 × 1.6
41.6
1.64
1.6 × 4
1.6 + 4
Answer:
\(1.6^{4}\)
Step-by-step explanation:
1.6 is multiplied by itself 4 times. This is represented in exponential form as
\(1.6^{4}\)