Answer:
4
Step-by-step explanation:
[tex]\frac{10}{25}[/tex] × 10
[tex]\frac{100}{25}[/tex]
4
One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers.
PLEASE HELP ME I HAVEN'T STARTED ITS DUE TMRW
Answer:
The perfect square lockers are the only ones left open.
Step-by-step explanation:
Here is a legit link to an explanation of this old puzzle problem!
https://36university.com/act-math-locker-problem-solution/
Quoting from that page:
Method 2: Who Touches Which Lockers
Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.
Here’s what I mean:
Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.
Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.
Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.
Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.
Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.
By this logic, every locker would be closed.
But there are exceptions!
Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.
Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.
Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
10 open cylindrical containers are to be painted on the outside, including the base. Each container has a radius of 30 cm and a height of 28 cm.
Given that 150g of paint is needed to paint an area of 1m3, find the amount of paint required to paint the ten cylinders. Give your answer in kg.
please help quick.
The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.
The formula to determine the total surface area of an open cylinder is given as:
2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =
where: r is the radius, and h is the height of the cylinder.
The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:
Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)
= 0.8297
The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].
Total surface area of the ten cylinders = 10 x 0.83
= 8.3 [tex]m^{2}[/tex]
Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:
x = 8.3 x 150 g
= 1245 g
x = [tex]\frac{1245}{1000}[/tex]
= 1.245 Kg
Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.
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What is:
a. 2(6x - 4)+3(2x - 3)
b. 5+ (6x + 4)
Solve for the unknown side of each right triangle
Answer:
x = 4.4 cm
Step-by-step explanation:
Since this is a right triangle, the Pythagorean Theorem applies: a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.
Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:
x^2 = (6.9 m)^2 - (5.3 m)^2, or
x^2 = 47.61 - 28.09 = 19.52
Then the length, x, of the unknown side is x = +√19.52 m, or
x = 4.4 cm
A line passes through the point (0, -3/2) and has a slope of 1/2. what is the eqaution of the line?
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
We apply our knowledge of slope intercept form:
y = 1/2 x + b
therefore, we plug in the values for x and y getting
-3/2 = 0 + b
so b = -3/2, plug it back into the equation getting
y = 1/2x - 3/2
Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?
Answer:
=34
Step-by-step explanation:
4x+12x-6=4(4x+7) ur question
using BODMAS
4x+12x-6=16x+28
16x-6=16x+28
16x-16x=28+6
0=34
but make sure your question is right, can you go through it again
Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy
Answer:
4.25+9.75+0.5x≤18
Step-by-step explanation:
4.25+9.75+0.5x≤18
14+0.5x≤18
0.5x≤4
x≤8
She can buy at most 8 packs of crackers.
Hope this helps :)
Fiona can buy maximum 8 number of packages of crackers.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
Given that Fiona has $18 to spend and she spent $4.25 .
Now, she has the money $18 - $4.25 = $ 13.75
And she needs to save $9.75 from rest of the amount.
Therefore, $13.75 - $ 9.75 = $4
Now she has $4 to spend and one packet of crackers cost $0.50.
So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.
Therefore, Fiona can buy maximum 8 number of packages of crackers.
To learn more about the subtraction;
https://brainly.com/question/2346316
#SPJ5
Can someone help!!!!
Answer:
X = 2/3 and Y = 3
Step-by-step explanation:
Matrix: 3 -1 -1
-3 5 13
Main determinant:
| 3 -1 |
| -3 5| = 12
Dx: |-1 -1|
|13. 5| = 8
X = 8/12 = 2/3
Determinant y:
|3 -1|
|-3 13| = 36
Y = 36/12 = 3
Please solve this math problem... I will mark you brainliest
Answer:
22
Step-by-step explanation:
22x2=44
44+15=59
Answer:
22
Step-by-step explanation:
2x22+15 =59°
hope this helps
PLEASE HELP I NEED THIS QUESTIONS TO PASS THE CLASS
Answer:
I : 5x + 7
M: 49x - 20
Y: [tex]x^{2}[/tex] + x + 5
P: 4x + y + 4
L: 2[tex]x^{2}[/tex] + 4x
F: -30x + 33
I: 51x - 65
Find the value of x
[tex]24\%ofx = 90[/tex]
x=375
Answer:
Solution given:
24% of x=90
or [tex]\frac{24}{100} *x=90[/tex]
[tex]\frac{6*x}{25}=90[/tex]
6x=90*25
6x=2250
x=[tex]\frac{2250}{6}[/tex]
x=375
Just a very quick question for any people willing to answer this question.
4 less than the number n is -15.
(Please type equation and solution!)
Answer:
n=-11
Step-by-step explanation:
n-4=-15
n-4+4=-15+4
n=-11
In a sale, the price of a jacket is reduced.
The jacket has a normal price of £52
The jacket has a sale price of £41.60
Work out the percentage reduction in the price of the jacket.
The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?
Answer:
A 1152 diapers
Step-by-step explanation:
2dozen is 24, so 24×48=1152
each container= 48 diapers
2 dozen babies
to find:the amount of diapers needed
solution:[tex]12 \times 2[/tex]
[tex] = 24[/tex]
[tex]24 \times 48[/tex]
[tex] = 1152[/tex]
hence, 1152 diapers are needed for 2 dozen of babies.
answer= option A
Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.
Answer:
13 = 81 x - 89
Step-by-step explanation:
Answer:
81x-79
Step-by-step explanation:
I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.
We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.
=(-3x+5)+(7x-7)*12
=(-3x+5)+84x-84
=81x-79
Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)
if y varies directly as x, and y is 20 when x is 4, what is the value of y when x is 80
Answer:The equation of that is y=kx
Substitute it in and you get
20=6k
Divide 6 on both sides
k=3 1/3
Then since it asks what is the value of y when x is 24 use k in the equation
y=3 1/3*24
so y=80 is the answer
Step-by-step explanation:
the 120 grams powdered milk make 12 cups of milk. how many kilograms of powdered milk can produce 60 cups of milk. how many liters is 60 cups of milk?
Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.
Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.
What is the measure of ABC
Answer:
60°
Step-by-step explanation:
the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60
Louise buys 4 pencils for £1.20. How much does one cost? :)
Answer:
O.3 pound
Step-by-step explanation:
1.20/4=0.3 pound
Answer:
1.20 divided 4 = 0.3
One pencil costs £0.3
Step-by-step explanation:
The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points? Show your strategy
Answer:
The home team
Step-by-step explanation:
1 touchdown is equal to 6 points (plus a extra point for the kick)
1 field goal is worth 3 points
If you are including the extra point as the touchdown it would be 7 pts times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)
For the 2nd team the have 3pts times 4 field goals which would put the visiting team at 12 points total.
The home team scored more points at 21 points versus the visiting team which had only scored 12 points.
Can you answer the question and explain it to me simply im just in 5th grade and i dont get it
Answer:
13/20
Step-by-step explanation:
12/20-4/20+5/20=
8/20+5/20=
13/20
Answer:
[tex] \frac{13}{20} [/tex]
Step-by-step explanation:
Before we can do anything with the fractions, we need to find a common denominator.
To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.
So 6/10 has now been simplified to 3/5.
Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.
Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.
Hope it helps :)
I tried to keep it simple for you.
4−(−8)= please help i need it now
Answer:
Step-by-step explanation:
Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?
Answer:
13/20 or .65
Step-by-step explanation:
1/4 + 1/5 + 2/10 = Total amount eaten
Find a common denominator is 20
1/4 = 5/20
1/5 = 4/20
2/10 = 4/20
13/20
Choose the steeper line,
y=2x+8
or
y=4x+2
Hello!
y=4x+2 is the steeper line. The bigger the slope, the steeper the line.
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]SilentNature[/tex]
13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7
Alex paid $9 to park her car for 2 hours. Write an equation that shows the relationship between p, the numbers of hours parked, and c, the cost in dollars.
Answer:
Step-by-step explanation:
Parking charge for 2 hours = $ 9
Parking charge for 1 hour = 9/2 = $ 4.50
c = 4.50*p
c = 4.5p
A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami.
Write and solve an equation to show what percent of sandwiches sold were pastrami.
Drag tiles to complete the equation. Tiles may be used once or not at all.
p • __ = 36
plss help
Answer:
p · 90 = 36
p = 40%, 0.4, 4/10
Step-by-step explanation:
p · 90 = 36
p = 36/90
p = 4/10
p = 40%, or 0.4
-Chetan k
A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section
Answer:
???????????????????????????????
Step-by-step explanation:
5.6p-3=-9+2(p+7) in a five step equation.
Answer:
p=2
Step-by-step explanation:
6p-3=-9+2(p+7)
6p-3=-9+2p+14 Distributive Property
6p-3=2p+5 Combine like terms/ Simplify
+3 +3
━━━━━━
6p=2p+8 Addition Property of Equality
-2p -2p
━━━━━━
4p=8 Subtraction Property of Equality
━ ━
4 4
p=4 Division Property of Equality
im very confused on the question attached below....can someone pls explain it with an answer?
Answer:
There doesnt seem to be a mode
Step-by-step explanation:
The mode is the number that ocurs most in the sequence
EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST