Answer:
Step-by-step explanation:
Shape of the can is cylinder
r = 4 in
h = 15 in
Volume =πr²h
= 3.14* 4 * 4 * 15
=753.6 cubic inches
A recipe requires ¾ cup of nuts for 1 batch of muffins. Write the number of batches of muffins that can be made using 7 ½ cups of nuts.
Answer:
10 batches
Step-by-step explanation:
3/4 cups = 1 muffins
15/2 cups = x muffins
For x muffins,
3/4 × X = 15/2 × 1
3x × 2 = 15×4
6x = 60
Divide both sides by 6
6x/6 = 60/6
X = 10
Hence 10 batches of muffins will be made from 15/2 cups of nuts.
Evaluate each expression.
6! =
3! • 2! =
6!/3! =
Answer:
6! = 6*5*4*3*2*1 = 30*12*2 = 30*24 = 720
3! * 2! = 3*2*1 * 2*1 = 6*2 = 12
6! / 3! = 720 / 12 = 60
Step-by-step explanation:
6! = 6*5*4*3*2*1 = 30*12*2 = 30*24 = 720
3! * 2! = 3*2*1 * 2*1 = 6*2 = 12
6! / 3! = 720 / 12 = 60
The value of the expression will be 6! = 720, 3! • 2! = 12, and 6! / 3! = 120.
What is the factorial of n?The factor of n is given as the production of the number n, (n - 1), (n - 2), ..., and 1. Then the factorial of n is given as
n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1
The expressions are
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720
3! • 2! = 3 x 2 x 1 x 2 x 1
3! • 2! = 6 x 2
3! • 2! = 12
6! / 3! = 720 / 6
6! / 3! = 120
More about the factorial of n link is given below.
https://brainly.com/question/16003649
#SPJ2
4. A class has 12 boys and 15 girls. The teacher randomly picks one child to lead
the class in singing.
What is the probability that the teacher picks a boy?
Answer:4/9
Step-by-step explanation:
12/27 simplified is 4/9
(12 is for the boys 27 is the number of students)
find a word that has a value of 18
Answer:
Overcapitalization
Step-by-step explanation:
In 1906 Americans consumed an average of 26.85 gallons of whole milk per year. By 1998 the average consumption was 8.32 gallons. What is the percent decrease in consumption of whole milk?
Answer: 69.01%
Step-by-step explanation:
In 1906 Americans consumed an average of 26.85 gallons of milk per year while by 1998 the average consumption was 8.32 gallons.
To get the percent decrease in consumption of whole milk goes thus:
We first find the amount of decrease in the milk consumed. This will be:
= 26.85 - 8.32
= 18.53
Percentage decrease
= 18.53/26.85 × 100
= 0.6901 × 100
= 69.01%
Easy Question
Topic: Volume
Focus on question 10
Answer:
a 120 cm^3
b 70 cm^3
Step-by-step explanation:
The volume of a right rectangular prism is given by
V = l*w*h
10 a V = 12*2*5
=120 cm^3
10 b V = 2.5 *8 *3.5
=70 cm^3
Answer:
120 cm^3;70 cm^3
Step-by-step explanation:
Volume = l * w * h
That means...
a) Volume = 12cm * 2cm * 5cm = 120 cm^3
b) Volume = 2.5cm * 8cm * 3.5cm = 70 cm^3
Solve this please!!!
Answer:
x = 17
Step-by-step explanation:
These angles are supplementary so (2x + 5) + (8x = 5) = 180 then you just do the algebra
Please mark Brainliest :)
Lenny can choose between apple juice, orange juice, and fruit punch. She can order a small, medium, and large. If she chooses a drink at random, what is the probability she chooses a medium orange juice?
Answer:
1/9 chance
Step-by-step explanation:
3 options and 3 choices probability of picking orange juice is 1/3 chance and probability of pickinkg a medium is 1/3 chance so you multiply dem to get 1/9
What are the solutions to the quadratic equation (5y+6)2=24?
Answer:
You chose the right answer
y = [ -6 + 2 root(6)]/5 or y = [-6 - 2 root(6)]/5
Step-by-step explanation:
from (5y + 6)^2 = 24
we can take the square root of both sides
(5y + 6) = + root(24) or (5y + 6) = -root(24)
5y + 6 = 2*root(6) or 5y + 6 = - 2 root(6)
y = [ -6 + 2 root(6)]/5 or y = [-6 - 2 root(6)]/5
Answer:
a
Step-by-step explanation:test on e
what is 1+1 plus 2 divided by 35 added by 6 subtracted by 30
Answer:
-23.8857
Step-by-step explanation:
1+1+2= 4
4/35+6= 6.11429
6.11429-30= -23.8857
My teacher says b is wrong
9 m
11 m
16 m
4 m
Find the area of this figure.
Answer:
Can u send picture with it pls so i can figure it out?
What are the two shapes
Step-by-step explanation:
rectangle: length times width
triangle: base times height divided by 2
parallelgram: Base times height
square: side times side
*If you get it right then follow me on roblox: Supertasticgg
and sub to Flamingo
ANd almost forgot trapezoid: base 1 + base 2 times by height then divide with 2
Find −1/5+17/10. Please help me!
Please help with this math
Answer:
I believe it’s C
Step-by-step explanation:
let me know if right if am mark brainliest pls
The amount of aluminum varies inversely as the amount of tin. When there are 600 grams of aluminum there are 40 grams of tin. How many grams of aluminum will there be if there is 120 grams of tin
Answer:
There will be 200g of aluminium.
Step-by-step explanation:
We use a rule of three to solve this question.
However, the relationship between the variables are inverse, which means that we use an inverse rule of three. This means that we are going to multiply the values laterally, instead of diagonally(cross multiplication).
We have these following relationships:
600g aluminum - 40g tim
xg aluminium - 120g tin
Multiplying laterally:
[tex]120x = 600*40[/tex]
[tex]x = \frac{600*40}{120}[/tex]
[tex]x = 200[/tex]
There will be 200g of aluminium.
Final Answer:
When there is 120 grams of tin, there will be 200 grams of aluminum.
Explanation:
In problems involving inverse variation, the formula that describes the relationship between two variables (in this case, aluminum and tin) is as follows:
k = xy
where:
- k is the constant of variation,
- x is the amount of aluminum, and
- y is the amount of tin.
Given that there are 600 grams of aluminum when there are 40 grams of tin, we can use these values to find the constant of variation (k). We can set up the equation and solve for k with the given values.
[tex]\[ k = 600 \text{ grams of aluminum} \times 40 \text{ grams of tin} \\\\\[ k = 24000 \text{ (constant of variation)} \][/tex]
Now that we have the constant of variation, we know this constant remains the same even when the amounts of aluminum and tin change, providing the inverse relationship is maintained.
Now we want to find out how many grams of aluminum there will be when there is 120 grams of tin. We set up the inverse variation formula and solve for x now that y is given as 120 grams:
k = xy
Given that k = 24000 from our previous calculation, we find x:
[tex]\[ x = \frac{k}{y} \\\\\[ x = \frac{24000}{120} \\\\\[ x = 200 \text{ grams of aluminum} \][/tex]
Therefore, when there is 120 grams of tin, there will be 200 grams of aluminum.
A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they tallied 175 transactions totaling $262.50.
Represent the linear system in an augmented matrix:
ANSWER IS
[ 1 ] [ 1 ] [ 75 ]
[ 2.5 ] [ 0.75 ] [ 262.5 ]
Answer:
[1] [1] [175]
[2.5] [0.75] [262.5]
# of hotdogs sold was 75
# of chips sold was 100
Step-by-step explanation:
got it right on edge ya digg
The number of hot dogs is 75 while the number of snacks is 100.
The linear equation to solve the question will be:
h + s = 175 ........ i
2.50h + 0.75s = 262.50 ........ ii
From equation i, s = 175 - h ..... iii
Put equation iii into ii
2.50h + 0.75s = 262.50
2.50h + 0.75(175 - h) = 262.50
2.50h + 131.25 - 0.75h = 262.50
Collect like terms
2.50h - 0.75h = 262.50 - 131.25
1.75h = 131.25
h = 131.25/1.75
h = 75
The number of hot dogs is 75 while the number of snacks is 100.
Read related link on:
https://brainly.com/question/16054860
Need help finding the answer
Answer: x=2
Use math-way and put 3x+4/6x-2=9/9
What is the common denominator of StartFraction 1 Over a EndFraction + StartFraction 1 Over b EndFraction in the complex fraction StartFraction 1 Over a EndFraction minus StartFraction 1 Over b EndFraction divided by StartFraction 1 Over a EndFraction + 1 Over b EndFraction?
a2 b2
a – b
a + b
ab
Answer:
ab
Step-by-step explanation:
Answer:
Option D : ab
Step-by-step explanation:
correct on e2020
Elan surveyed a random sample of 65 students at his high school. He asked them which subject is their first class on Mondays. There are 894
students in his school.
First Class Percent of Students
English
17%
Math
28%
History
40%
Science
15%
Choose two inferences that can be made from the results.
O A. Approximately 17% of all students in the city have English first on Mondays.
B. Approximately 28% of the students at Elan's school have Math first on Mondays.
C. Approximately 40% of the students at Elan's school do not have History first on Mondays.
OD. Approximately 85% of the students at Elan's school do not have Science first on Mondays.
Answer:
B and D are correct
Step-by-step explanation:
A isn't correct because the survey wasn't out of students in the city, it was out of people attending Elan's school.
B is correct because the survey said 28% of students at Elan's school have math first on mondays.
C isn't correct because the survey said the exact opposite.
D is correct because only 15% of students at Elan's school have science first on mondays
Answer:
B and D
TRUST ME
Step-by-step explanation:
The areas of the squares adjacent to two sides of a right triangle are 32units^2 and 32 units^2. Find the length, x, of the third side of the triangle.
Answer:
The length of the third side of the triangle is 8 units
Step-by-step explanation:
Here, since the two sides are adjacent a square, what this means is that the length of the square equals the length of the sides of the triangle adjacent to it.
Mathematically, the formula for the area of a square is L^2
With an area of 32 square units, the length of the side of this triangle is thus √(32) =
4√2 units
So we have two sides of the right triangle with length 4√2 units
Now we should know that this right triangle is an isosceles right triangle since the lengths of the adjacent and the opposite are equal.
Now to calculate the length of the third side which is the hypotenuse, we make use of the pythagoras’ theorem which states that the square of the longest side of a right triangle which is the hypotenuse is equal to the sum of the squares of the other two sides
Thus mathematically, the square of the hypotenuse length is 32 + 32 = 64
Let’s call the hypotenuse h for documentation purposes
h^2 = 64
h = √64
h = 8 units
Answer:
8
Step-by-step explanation:
khan is never wrong :3
A group of 5 families at Baileys Middle School sold magazine subscriptions to raise money for the school. $6.00, $7.00, $4.00, $5.00, $3.00 What was the median amount of money raised?
Answer:
The median amount of money raised is $5.00
Step-by-step explanation:
To find the median amount of money raised, we will follow the steps below:
First, arrange the data giving in ascending order. That is
$6.00, $7.00, $4.00, $5.00, $3.00
We will arrange it in ascending order, hence
$3.00, $4.00, $5.00, $6.00, $7.00
The median is the middle number, we will now proceed to take the middle number.
The middle number is $5.00
Therefore, the median amount of money raised is $5.00
The median amount of money raised by the 5 families is $5.00.
To find the median amount of money raised by the 5 families, we first need to arrange the amounts in ascending order:
$3.00$4.00$5.00$6.00$7.00The median is the middle number in a sorted, ascending or descending, list of numbers. Since there are 5 numbers, the median is the third number in this ordered list. Therefore, the median amount of money raised is $5.00.
No dia 15/05/2020 as 18h e 40min o G1 divulgou que a Paraíba tem 3.739 casos confirmados e 170 mortes por coronavírus. Qual a porcentagem de mortos no Estado da Paraíba em relação a quantidade de casos confirmados ?
Answer:
4.55%
Step-by-step explanation:
To find the percentage of deaths in relation to the number of cases confirmed, we just need to divide the number of deaths by the number of cases confirmed.
So we have that:
Percentage = Deaths / Cases
Percentage = 170 / 3739
Percentage = 0.0455 = 4.55%
The percentage of deaths in relation to the number of cases is 4.55%
The wages w (in £) Gordon earns is the number of hours he works n multiplied by his hourly rate r (in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hou
Answer:
1. w = nr
2. His wage is £52.00
Step-by-step explanation:
1. Given that wages is a function of number of hours worked multiplied by hourly rate
Where n represents hours and r represents rate.
Wage formula is as follows;
Wage (w) = hours (n) * rate (r)
w = n * r
w = nr
2. If he worked 5 hours at a rate of £10.40 per hour
This means
n = 5
r = 10.40
His wage is as follows;
w = nr
w = 5 * £10.40
w = £52.00
Hence, his wage is £52.00
Final answer:
Explanation of Gordon's wages formula and a calculation example for working 5 hours at a specific rate.
Explanation:
The formula for calculating Gordon's wages, w, is given by multiplying the number of hours he works, n, by his hourly rate, r.
A formula for Gordon's wages: w = n * r
Wages earned by Gordon working 5 hours at a rate of £10.40 per hour:
Substitute n = 5 and r = £10.40 into the formula:
w = 5 * £10.40
= £52
The wage Gordon would earn if he worked 5 hours at a rate of £10.40 per hour is £52.
When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pages did Theo open his textbook?
Final answer:
To determine the page numbers, the product of two consecutive page numbers (n and n+1) was calculated to match 87,912, leading to the solution that Theo's textbook was opened to pages 296 and 297.
Explanation:
To find out to which pages Theo opened his textbook, when the product of the facing pages was 87,912, we should realize that facing pages in books have consecutive numbers. Therefore, if one page is n, the facing page would be n+1. The product of these two pages is n(n+1)= 87,912. We are solving a quadratic equation here.
Starting with an approximation, square roots of numbers near 87,912 can help identify potential page numbers. The square root of 87,912 is a bit less than 300 (since 300² = 90,000). Therefore, one of the page numbers will be just under 300, and the other just above.
Attempting a few calculations, we notice that 296² = 87,616 and 297² = 88,209. Between these two, 296 × 297 = 87,912, giving us the page numbers Theo's book is open to: 296 and 297.
8x-2y=6 and 3x+3y=-24
Answer:y= -8 -x
Step-by-step explanation:
Thiago and Yasmine each bought the same microwave.
Thiago used the 20% off coupon and paid $100.
Yasmine used the $20 off coupon.
How much did she pay?
Answer:
$105
Step-by-step explanation:
20% of $125 = $100
so the original price is $125
Answer:$100
Step-by-step explanation:
if they both used the 20% off coupon for the same microwave which is the same price without the coupon then with the coupon it would also be the same price
Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are brown. All puppies are either brown or white. If Marta randomly gives away puppies to her friends, what is the probability of a friend getting a puppy that is male, brown, or both?
Answer:
Step-by-step explanation:
No of total brown = 2 + 1 = 3 .
probability = 3 / 6
= 1 /2 .
no of males = 2
probability
= 2 / 6
= 1 /3
no of person who is both male and brown = 1
probability = 1 /6
Required probability
= probability of being brown + probability of being male - probability of being both
= 1 / 2 + 1 / 3 - 1 /6
= 4 / 6
= 2 / 3 .
Final answer:
The probability of a friend getting a puppy that is male, brown, or both is 2/3, which is calculated by adding the probability of getting a male puppy and a brown puppy, then subtracting the probability of the overlap (brown male).
Explanation:
The student's question concerns the probability of a friend receiving a puppy that is male, brown, or both, given the conditions of the puppies provided. To calculate this probability, we consider all possible favorable outcomes divided by the total number of outcomes. There are 2 males (1 brown, 1 white) and 4 females (2 brown, 4 total), making a total of 6 puppies. A friend can receive either a male puppy (2 out of 6) or a brown puppy (3 out of 6, since we do not count the brown male twice). Thus, the probabilities need to be added together and the intersection (the brown male counted in both categories) subtracted to avoid overcounting.
We calculate the probability as P(Male) + P(Brown) - P(Brown and Male) = 2/6 + 3/6 - 1/6 = 4/6 or 2/3. Therefore, the probability of a friend getting a puppy that is male, brown, or both is 2/3.
Can anybody find the measure of the major arc ILK?
click on image for full picture
IL is a diameter, which is a straight line, which is equal to 180 degrees.
The arc of IL would be 180 degrees
You are told the arc of KL is 30 degrees.
The major arc of ILK would be 180 + 30 = 210 degrees.
PLEASE HELP RIGHT AWAY, NEED URGENT HELP, WILL GIVE BRAINLIEST!
Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
Let g(n) be the amount of contaminants (in grams) that remained by the beginning of the nth hour. g is a sequence, what kind of sequence is it, arithmetic or geometric? Then, write an explicit formula for the sequence, g(n)=?
The sequence g(n) is a geometric sequence with an explicit formula of g(n) = (2/3)^n * 900 grams.
Explanation:The sequence g(n) represents the amount of contaminants (in grams) that remains at the beginning of the nth hour. Each hour, a third of the contaminants is filtered out. To determine whether g(n) is an arithmetic or geometric sequence, we need to examine the change in the amount of contaminants from one hour to the next.
Let's look at the first few terms of the sequence:
g(1) = 900 grams (initial amount)g(2) = 2/3 * g(1) = 2/3 * 900 gramsg(3) = 2/3 * g(2) = 2/3 * (2/3 * 900 grams)From the pattern, we can see that each term of g(n) is obtained by multiplying the previous term by 2/3. Therefore, g(n) is a geometric sequence.
The explicit formula for the sequence g(n) can be written as g(n) = (2/3)^n * 900 grams.
A scale on a map shows that 2.5 centimeters represent 15 kilometers.
What number of actual kilometers are represented by 17.5 centimeters on the map?
Answer:
cm for centimeters, km for kilometers.
If 2.5cm → 15 km, then
17.5 cm → x km
x= (15km*17.5cm)/(2.5cm)=105 km
Step-by-step explanation: