Answer:
rational
Step-by-step explanation:
The improper fraction 12/4 is a rational number. It is equivalent to the whole number 3, which is an integer.
20 points! plus brainliest.
Scenario 1: You and a friend take turns choosing marbles at random from a jar containing 13 red marbles and 13 blue ones. Once you select a marble, you record the color of the marble and do not return the marble to the jar.
Scenario 2: You and a friend take turns choosing marbles at random from a jar containing 13 red marbles and 13 blue ones. Once you select a marble, you record the color of the marble and return the marble to the jar.
a) Identify each scenario as independent or dependent. Explain your answer.
b) Are the probabilities of selecting two blue marbles in each scenario the same or different? Explain your answer.
Using the ruler postulate, find the distance between-9 and 2.
Answer:
11
Step-by-step explanation:
What is the quotient of the synthetic division problem below, written in
polynomial form?
________
-3 | 1 6 10 3
Answer:
c) x² + 3x + 1
Step-by-step explanation:
-3 / 1 6 10 3
-3 -9 -3
1 3 1 0
Answer: x² + 3x + 1
Step 1: Carry down the first number 1 as it is
Step 2: Multiply 1 by -3 (1 * -3 = -3) and write this -3 under the next number 6 and then add. 6 + (-3) = 3
Step 3: Multiply this 3 by -3 (3 * -3 = -9) and write this -9 under the next number 10 and then add.10 +[-9] = 1
Step 4: Multiply 1 by -3 (1 * -3 = -3) and write this -3 under the next number 3 and then add. -3 +[-3] = 0
5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.
( i ) Find the bonus amount received by each employee.
(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?
(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?
Answer:
a) = Rs 16000
b) = 5%
c) = Rs 30,000,000
10% = 24,000,00/10 = Rs 240,000
20% = 240,000 x 2 = Rs 480,000
480,000/30 = Rs 16000
b) The bonus percentage needs to be increased by 5%
explanation:
Since every worker needs Rs 20000 we need to times it by 30
20000 x 30 = Rs 600,000
600,000 - 480,000 = Rs 120,000
Now we need to find the percentage of Rs 120,000
10% = Rs 240,000
5% = 240,000 divide by 2 = Rs 120,000
This is the best I can do for now please let me know if you understood the answer!
Answer:
1.Rs.16000
2.Bonus rate:25%
3.profit:Rs.3000000
Step-by-step explanation:
Case 1
Profit=Rs.2400000
Bonus Rate:20%
No.of employees =30
Now,
Bonus = (Bonus Rate of Profit) / no. Of employees
= 20% of Rs.2400000 / 30
= Rs. 16000
Case 2
Bonus=Rs.20000
Profit=Rs.2400000
Bonus rate=?
Now,
Bonus=bonus rate of profit / no. Of employees
Or,Rs. 20000 = Bonus rate × Rs. 2400000/30
Or, Rs. 20000=Bonus rate × Rs. 80000
Or,Rs.20000/Rs.80000 = Bonus rate
Bonus rate = 1/4=25%
Case 3
Bonus=Rs.20000
Bonus Rate = 20%
Now,
Bonus = bonus Rate of profit / no.of employees
Or, Rs. 20000 = 20% × Profit / 30
Or, Rs. 20000 × 30 / 0.2 = profit
Profit= Rs. 3000000
I hope it helped you
Question 8 Multiple Choice Worth 1 points)
(03.08 MC)
Two different plants that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the height of the
f(x) plant exceed that of the g(x) plant?
Month (x) f(x) = 3* g(x) = 5x + 12
1
3
17
2.
9
22
O Month 3
O Month 4
O Month 5
O Month 6
Answer:
Option B.
Step-by-step explanation:
Note: The function f(x) is not in correct format it must be [tex]f(x)=3^x[/tex].
It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).
Let as consider the two functions,
[tex]f(x)=3^x[/tex]
[tex]g(x)=5x+12[/tex]
Now, table of values is
Month(x) [tex]f(x)=3^x[/tex] [tex]g(x)=5x+12[/tex]
1 3 17
2 9 22
3 27 27
4 81 32
From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).
In month 3, heights are equal.
In month 4, height of the f(x) plant exceed that of the g(x) plant.
Therefore, the correct option is B.
Andrew is about to leave for school. if he walks at the speed of 50 meters per minute he will arrive 3 minutes after the bell rings. if he runs at the speed of 80 meters per minute he will arrive 3 minutes before the bell rings. in how many minutes will the bell ring?
================================================
Explanation:
x = time it takes for the bell to ring, time is in minutes
d = distance from his house to the school, in meters
distance = rate*time
If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late. This means he took x+3 minutes to get to class. The x represents the amount of time it takes if he arrived on time, then the +3 is those 3 minutes he is late. We then write
d = 50(x+3)
d = 50x+150
If he runs to school, then he's 3 minutes early. So he took (x-3) minutes to get to class. His rate is 80 meters per minute
d = 80(x-3)
d = 80x-240
We're referring to the same distance (d) value, which allows us to perform substitution to solve the two equations we formed
80x-240 = 50x+150
80x-50x = 150+240
30x = 390
x = 390/30
x = 13
Andrew has 13 minutes to get to class.
-------------------
Checking the answer:
If he walks at a speed of 50 m per minute, then he'll be 3 minutes late. So he really took 13+3 = 16 minutes to arrive. His distance traveled is d = r*t = 50*16 = 800 meters.
If he ran 80 m per minute, and is 3 minutes early, then he took 13-3 = 10 minutes to get to class. His distance is the same as before d = r*t = 80*10 = 800 meters. The fact we get 800 both times helps confirm we have the right answer.
Andrew has 13 minutes to get to class.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.
Now, let x be the time it takes for the bell to ring.
let d be the distance from his house to the school, in meters
distance = speed*time
If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late.
So, Andrew took x+3 minutes to get to class.
Here in the expression +3 shows that she is late.
So,
d = 50(x+3)
d = 50x+150
Now, If he runs to school, then he reached 3 minutes early.
So, toe get in class he will take (x-3) minutes
Here -3 show the child reached early
d = 80(x-3)
d = 80x-240
Since the distance is same.
So, the two equations are equal.
80x-240 = 50x+150
80x-50x = 150+240
30x = 390
x = 390/30
x = 13
Hence, Andrew has 13 minutes to get to class.
Learn more about algebra here:
https://brainly.com/question/953809
#SPJ2
PLEASE HELP ME WITH THIS ILL GIVE 100 points , brainliest and follow you ❤️
PLEASE HELP MEEEEE
Answer:
1) There are 26 letters in the alphabet. Thus, 27 people must be chosen because otherwise there could be 1 person per initial.
2) There are 7 days in a week. Thus, if the first 7 had their birthdays on every day of the week, the 8th person must share a birthday on the same day of the week as another.
3) A phone number can contain 0,1,2,3,4,5,6,7,8,9. Thus, if the first 10 people have a phone number that ends with each digit, the 11th must share it, as there are no unique options.
4) 100/2 = 50. Thus, the minimum each bag could have is 50.
5) 19/3 > 6. The maximum number you could get with numbers less than seven is 6,6,6 = 18. 18<19. Thus, you need a number 7 or greater.
6) The worst scenario that could happen here is that you grab 8 German books, 10 French books, and 12 Spanish, Russian and Italian books. This would be 54 books. Thus, with the 55th book, you must have gotten 12 of at least one subject. Thus, the answer is 55 books.
7) This is vague. If she cannot repeat any of the three jokes in the triplet, then she must have 36 jokes for this to be possible, because 12*3=36
8) Each of the remaining 29 students made less than 12 mistakes. Even if 2 students made 11,10,9,8,7,6,5,4,3,2,1 mistakes, there would still be multiple students left that would have made 11,10,9,8,7,6,5,4,3,2, or 1 mistake(s), meaning that at least 3 students made the same amount of mistakes.
9) 465/95 = about 4.9. Thus, each table could have less than 6 seats, so we cannot be sure.
Hope it helps <3
Step-by-step explanation:
4.
Bags contain x and y numbers of marbles.
x + y > 100
The least number that is more than 100 is 101.
If x and y are both less than 51, then you have at most a total of 100 marbles.
To have 101 marbles, you must have one bag with at least 51 marbles, and the other bag with the rest. Neither bag must have at least 50 marbles. You can have 1 and 100, but that is still more than 50 marbles in one bag.
6.
You are looking for 12 books in the same language. Let's say you start by picking all 10 French books and all 8 German books. You are up to 18 books. There are no more French or German books, so you can't get to 12 books in one language with those. Now you pick 11 Spanish books, 11 Russian books, and 11 Italian books. That is another 33 books, and still no 12 books in one language. You already picked 18 books + 33 books = 51 books. The very next book must be a Spanish book or a Russian book or an Italian book, and it will make the 12th book of that language. You need to pick 52 books to be sure you have 12 of the a single language.
Answer: 52 books
7.
You need enough jokes to have 12 different combinations of 3. This is a case in which order does not matter.
If you have 3 jokes, named A, B, and C, you only have enough for 1 year, since ABC, ACB, BAC, BCA, CAB, and CBA are all the same triple of jokes.
This is a combination problem.
nCk = (n!)/[k!(n - k)!]
We know we need more than 3 jokes. Let's try 4.
n = 4
nCk = (4!)/[3!(4 - 3)!]
nCk = 4
We need 12, so 4 is not enogh.
n = 5
nCk = (5!)/[3!(5 - 3)!]
= 5 * 4/2
= 10
Now enough.
Try n = 6
nCk = (6!)/[3!(6 - 3)!]
= 20
With 6 different jokes, you can make 20 different triplets, so there is no need to repeat any triplet in 12 years.
Answer: 6 jokes
help me pls
Tell whether lines m and n must be parallel from the given
Information. If they are, state your reasoning.
Answer:
The first one isn't the second one is.
Step-by-step explanation:
In the first one, they have to be equal because they're corresponding angles so m and n are parallel.
In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.
The cost to order 2 hamburgers and a milkshake from the menu shown is _____. $4.30 $5.30 $3.55 $5.35
Answer:
$5.30
Step-by-step explanation:
2 hamburgers = 2 ( 1.75) = 3.50
1 milkshake = 1.80
Add them together
3.50+1.80 = 5.30
Answer:
5.80
Step-by-step explanation:
Given:
Price of hamburger=1.75
"of Hot dog=1.25
"of French fries=0.95
"of Milkshake=1.80
"of Soda pop=0.75
Required:
The cost to order 2 hamburgers and a milkshake from the menu shown=?
Formula:
2(Hamburger)+1(Milkshake)=Cost
Solution:
2(1.75)+1(1.80)=5.30
3.5+1.80=5.30
Hope this helps ;) ❤❤❤
Find the angle between the given vectors to the nearest tenth of a
degree.
U = 13i - 8j V = 2i + 9j
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Write the following decimals as fractions.
Answer:
5a. 0.2823 = 2823/10000 5b. 0.5474 = 2737/5000
6a. 0.3484 = 871/2500 6b. 0.5 = 1/2
7a. 0.11 = 1/9 7b. 0.1224 = 153/1250
Which table of ordered pairs represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 8, 11, 14. A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 25, 49, 81. A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 10, 14. Column 2 is labeled y with entries 3, 5, 7. A 2-column table with 3 rows. Column 1 is labeled x with entries 3, 8, 13. Column 2 is labeled y with entries 6, 11, 18.
Answer:
3,5,7
Step-by-step explanation:
Answer:
7,8.15
Step-by-step explanation:
What is the length of BC given that figure ABCD is a rectangle
A. 11
B. 8
C. 16
D. 22
Answer:
C, 16
Explanation:
A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!
The measure of length BC of the rectangle will be 16 units. Then the correct option is C.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.
From the diagram, we have
AD = BC = 16 units
Then the correct option is C.
More about the rectangle link is given below.
https://brainly.com/question/10046743
#SPJ5
Find the mean of the data in the bar chart below.
puppets
Puppets made by each puppeteer
5
Number of puppets
0
Alex
Kalin
Bruce
Davi
Puppeteer
Just look at the picture
Answer:
2.5
Step-by-step explanation:
the mean, better known as the average, can be found by finding the sum of all numerical data and dividing by the amount of your data. so 1+4+3+2=10 and 10 divided by 4=2.5
Answer:
2.5
Step-by-step explanation:
Graph y=-3x+7 Plz help me
Answer:
y=MX+b
Step-by-step explanation:
b is your y intercept
m is your slope
Answer:
so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!
At the beginning of July, Zachary opened a savings account that pays 4% interest on money in the account at the end of the year. How much money does Zachary have at the end of the year if he deposits $150 each month for the rest of the year? a $936 b $70 c $1870 d $2000
Answer:
$936
Step-by-step explanation:
We have to take the interest, 4%, and multiply it by 150 which equals 6. Since there are 6 months left in the year, we multiply this number by 6 which gets us 36. Next, we have to take the amount that Zachary puts in the account each month, $150, and multiply it by 6 months which equals to $900. Finally, we add the total amount of interest, $36, and the total amount of money he puts in during the year, $900.
urgent!! - What is the perimeter of a parallelogram, if it's area is 36 cm2 and the distances between the point of intersection of the diagonals and the sides are 2 cm and 3 cm?
Answer:
30 cm
Step-by-step explanation:
The distance from the intersection of the diagonals (center of the parallelogram) to one side is half the height when that side is considered the base.
So, if the height is 2×(2 cm) = 4 cm, and the area is 36 cm², the base for that height must be ...
(36 cm²)/(4 cm) = 9 cm.
Similarly, if the height is 2×(3 cm) = 6 cm, the base for that height is ...
(36 cm²)/(6 cm) = 6 cm.
These "bases" are the side lengths of the parallelogram, so its perimeter is ...
P = 2(s1 +s2) = 2(9 cm +6 cm) = 30 cm
The perimeter of the parallelogram is 30 cm.
plz answer asap will mark brainliest
Answer:
10 s'mores
Step-by-step explanation:
20 ÷ 2 = 10
but only if she has enough of the other ingredients too :)
Answer:
10 smore's
Step-by-step explanation:
If 2 graham crackers is required to make 1 smore
then 20 graham crackers will make 10 smore's
2 x 10 = 20
To solve the equation w/8 - 4 = 20, you would first add 4 to each side and then divide each side by 8. TrueFalse
Answer:
False
Step-by-step explanation:
The first part is correct because adding 4 to each side will help isolate the variable w, but since w is divided by 8 already you would want to multiply by 8 instead, so dividing each side by 8 would not work.
FIRST GET BRAINNLEST Noam spins the spinner below 1000 times. Predict how many times the spinner landed on red.
Answer:
1/4
Step-by-step explanation:
Given:
Colors
Yellow 1
Red 1
Blue 2
Total 4
Required:
Times that the spinner landed on red=?
Formula:
Probability=Successful outcome ÷ Possible outcome.
Solution:
Probability=Successful outcome ÷ Possible outcome
Probability=1÷4
Probability=1/4
Hope this helps ;) ❤❤❤
Answer:
about 125 times
Step-by-step explanation:
If you're good at bearings please help me
A plane, P, takes off from an airport, A, at 10:15 a, and flies on a bearing S30E at a speed of 700 km/h
Question one
How far due south of the airport, A, is the plane at 1:45 pm?
Question two
What's the compass bearing of the airport from the plane then?
Answer:
Question one
2121.76 km
Question two
(N30°E)
Step-by-step explanation:
The given information are;
The time the plane takes off = 10:15 a.m.
The direction of flight of the plane = S30E
The speed of flight of the plane = 700 km/h
Question one
The of flight at 1:45 p.m. - 10:15 a.m = 3.5 hours
The distance traveled South by the plane is the product of the y-component of the velocity and the time of travel of the plane
The y-component of the velocity = v×cos(θ) = 700 × cos(30) = 350·√3 km/h
The distance traveled = 350·√3 km/h × 3.5 = 2121.76 km
Question two
The compass bearing of the airport the plane is North 30° West (N30°E).
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).
Answer:
SA = 3.04m²
Step-by-step explanation:
SA = 2 x ( Length x Width + Width x Height + Length x Height )
SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )
SA = 2 x ( 0.4 + 0.32 +0.8)
SA = 2 x 1.52
SA = 3.04 m²
I wish this could help you !
Answer:
3.04 is the correct answer =)
Step-by-step explanation:
(b) Graph the equation x – 2y = 3
Answer:
Hey there!
Look at the image below ↓
Hope this helps :)
The graph of the given equation x – 2y = 3 is attached below.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that the equation as;
x – 2y = 3
Therefore, it can be write as;
-2y = -x + 3
-y = -x/2 + 3
Here the slope is -1/2.
Hence, the graph of the given equation x – 2y = 3 is attached below.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ2
HLP ! HLP ! Please and thank you
Answer:
Yes, it is an exponential function. The base is 2.
Step-by-step explanation:
As you can see, the function is f(x) = 2^(2x).
Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.
The base is 2 because 2x, the exponent, is applied to it.
---
I hope this helps, let me know if you have any questions.
Jenny has nine marbles, but her best friend Susie gives her ten more! However, the neighborhood bully, Danny, steals four marbles from her. Jenny's marbles are all of very high quality, so she trades each of her marbles for three of John's marbles apiece. The very next day is Jenny's birthday so she receives seven marbles from her parents, and finally gives two to her sister. How many marbles does she have now?
Answer:
Jenny has 50 marbles
Step-by-step explanation:
I find it easiest to right down the numbers as I read the question,
(9+10-4) x3 +7-2
Compare 6 ⋅ 108 to 3 ⋅ 106.
Answer:
6*108>3*106
Step-by-step explanation:
If you multiply 6, and 108, you would get 648.
And if you were to multiply 3 and 106 you would get 318. And 648>318.
Therefore, 6*108>3*106
Are the arcs below congruent?
A. No, because the ares do not have the same measure.
B. There is not enough information to determine.
C. No because the ares are not oriented the same
D. Yes because the ares have the same measure.
Answer:
A
Step-by-step explanation:
Answer:
B
You do not have enough information to solve the question.
Suppose the function ƒ(t) = et describes the growth of a colony of bacteria, where t is hours. Find the number of bacteria present at 5 hours. Question 11 options: A) 79.432 B) 8.155 C) 59.598 D) 148.413
Answer:
The number of bacteria present at 5 hours is 148.413
Step-by-step explanation:
Function: [tex]f(t)=e^t[/tex]
This function describes the growth of a colony of bacteria, where t is hours.
We are supposed to find the number of bacteria present at 5 hours.
So, Substitute t = 5
So, the number of bacteria present at 5 hours =[tex]e^5[/tex]
The number of bacteria present at 5 hours = 148.413
So, Option D is true
Hence the number of bacteria present at 5 hours is 148.413
Identify the coefficient of 12b5.
Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.
The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;
The variable is b ;
The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.
The power is the value to which the variable is raised.
Hence,
The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5
Learn blow : https://brainly.com/question/22241464
A bottle of the medicine contains 0.5 kilograms of the medicine. One dose of the medicine is 20 grams for a child and 45 grams for an adult. The number of grams used can be calculated with the formula 20C + 45A, where A is the number of adult doses and C is the number of child doses. If a medical assistant needs to give a dose of the medicine to 12 adults and 10 children, will there be enough medicine in the bottle? If not, how many more grams will be needed?
Answer:
Step-by-step explanation:
I