Answer:
29.3
Step-by-step explanation:
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!
A store sells $2\frac{1}{4}$ pounds of mulch for every $1\frac{1}{2}$ pounds of gravel sold. The store sells $180$ pounds of mulch and gravel combined. How many pounds of each item does the store sell
Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
Creating a ratio expression thus :
2.25 pounds of mulch = 1.5 pounds of gravel 2.25 : 1.5 Combined ratio= 2.25 + 1.5 = 3.75Let :
Pounds of mulch sold = mPounds of gravel sold = gPounds of Mulch sold :
(2.25/3.75) × 180 = 108 poundsPounds of gravel sold :
(1.5 / 3.75) × 180 = 72 poundsHence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
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How do you Find cross products with multiplication?
I will give 500 pts and Brainliest!
Answer:
A cross product is an form from an vector multiplication, performed in between for two vectors from a different kinds or nature. An vector may have both magnitude also direction. So we can multiply two or more vectors for crossing a product also a dot product. The resultant vector is an perpendicular to a plane having the two add vectors.
Step-by-step explanation:
Sorry if I am wrong!!!!Answer:
between for two vectors from a different kinds or nature. i think
brainliest???
Step-by-step explanation:
15
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
–3p +1/8 = -1/4
p=
Reset
Next
Answer:
[tex]p=\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]-3p+\frac{1}{8}=-\frac{1}{4}[/tex]
Subtract [tex]\frac{1}{8}[/tex] from both sides:
[tex]-3p=-\frac{1}{4}-\frac{1}{8}[/tex]
Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{2}[/tex] and simplify:
[tex]-3p=-\frac{3}{8}[/tex]
Divide both sides by -3:
[tex]p=\frac{3}{24}[/tex]
Simplify:
[tex]p=\frac{1}{8}[/tex]
Pls help me on this
Answer:
I don't understand anything. if I was know of course I will help you
b/a if a=8 and b=24.
Answer:
I wilm clear you
Step-by-step explanation:
Given,
If a=8
b=24
Now according to question,
or, b/a
or, 24/8
or, 3
Need help
She could also make yogurt at home for $1
$
1
a quart after spending $24
$
24
on a yogurt maker.
The graph shows the cost of yogurt bought at the grocery store and made at home.
The x-axis should be labeled quartz of yogurt.
The y-axis should be labeled total cost.
The slope of each line represents the cost of yogurt ($/qt).
The y-intercept of each line represents the initial equipment cost.
What is y-intercept?In Mathematics, the y-intercept is also known as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the graph above, the initial equipment cost represents the y-intercept of each line.
What is a slope?In Mathematics, a slope is also referred to as gradient or rate of change and it is typically used to describe both the ratio, direction and steepness of the function of a straight line.
Therefore, the slope of each line represents the rate of change of the total cost with respect to the quartz of yogurt ($/qt).
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solve for x, find the measure of all angles plzzzzz!!
Answer:
∠ H = 22.5°, ∠ I = 45° , ∡ J = 112.5°
Step-by-step explanation:
The 3 angles in a triangle sum to 180° , then
x + 2x + 5x = 180 , that is
8x = 180 ( divide both sides by 8 )
x = 22.5
Then
∠ H = x = 22.5°
∠ I = 2x = 2 × 22.5° = 45°
∠ J = 5x = 5 × 22.5° = 112.5°
Pleaaas help meeeee pleasssss
Answer:
For the first row, it's 6, 12, 18, 24, 30
Second row: 4, 8, 12, 16, 20
Step-by-step explanation:
You're just counting by multiples of 6 for the first row and 4 for the second row. Denominator means the number underneath the fraction line
The morning temperature in Finland was −18.3∘ F. The temperature rose 23.7°F during the day before reaching its high temperature for the day.
What was the high temperature for the day?
Enter your answer in the box.
°F
Answer:
The high temperature for the day was 5.4°F
Step-by-step explanation:
-18.3 + 23.7= 5.4
The high temperature for the day is 5.4° F.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Given that, The morning temperature in Finland was -18.3° F.
The temperature rose 23.7° F during the day before reaching its high temperature for the day.
Now, -18.3°+23.7°
= 5.4° F
Therefore, the high temperature for the day is 5.4° F.
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https://brainly.com/question/11464844.
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round 6,311 to the nearest thousand
Answer:
6,000
Step-by-step explanation:
Write down the output y in terms of x
Input=x +2 x7 Output =y
Answer:
The answer is 14x
Step-by-step explanation:
2×7=14
x×14=14x
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
Step-by-step explanation:
y - 4 = -2(x - 6) It might be easier to do if we removed the brackets and collect like terms.
y - 4 = -2x + 12 Add 4 to both sides
y = - 2x + 4 + 12 Combine
y = - 2x + 16
It's not one because -6*-2 + 16 = 28 for y.
It's B
y = -2 * 6 + 16
y = - 12 + 16
y = 4
(6,4) is the answer.
c: doesn't appear to be right. Any minus sign is going to make the number in front of x + which only adds to 16 making bigger.
d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8
Find the value of x. Th angles on a triangle .Please explain your method.
The internal values of all triangles are worth 180°, so knowing this, just form a 1st degree equation to respond, remembering that the value 180°, will stay after the equal sign of the equation.
A)[tex]\sf x+125^{\circ}+80^{\circ}=180\\\\\\\sf x+205=180\\\\\\\sf x=180-205\\\\\\\boxed{\sf x=-25^{\circ}}[/tex]B)[tex]\sf x+68^{\circ}+318^{\circ}=180\\\\\\\sf x+386=180\\\\\\\sf x=180-386\\\\\\\boxed{\sf x=-206^{\circ}}[/tex]Okay?!Whats the median, mode and range of 6, 8, 10, 10?
Answer:
Median: 9
Mode: 10
Range: 4
Step-by-step explanation:
Median
Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9
Mode
it's the number that occurs the most number of times, which is 10.
Range
Range is 10-6, so it's 4.
A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean, median and range of the given data set 6, 8, 10, 10 is,
Mean = (6+8+10+10)/4 = 8.5Median = 9Range = 10-6 = 4Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.
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what is the volume of the prism ?
Answer:
Your answer is 150 units!
I already Have the answer but can u guys show the work?
3 times a Numbers plus 12 is more than 15?
Answer:
2,3,4,5,6,7,8,9 etc
Step-by-step explanation:
Answer:
3x + 12 > 15
this can be simplified to
x > 1
Step-by-step explanation:
:D
Which equations are equivalent?
1. 2(6x+15-5x)+4=40
2. 40=2(15-x)+4
3. 12x+30-10x+4+40
A- 1 & 2
B- 2 & 3
C- 1 & 3
D- None of the equations are equivalent
Answer:
B
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
26s+24
Step-by-step explanation:
2(3s+9) +2(10s+3)
6s +18+20s +6
26s +24= perimeter
If the vertical length is 10, what is the horizontal length?
Answer:
5
Step-by-step explanation:
it is half of ten which is 5
Hope this helps
Answer:
top one is correct I think
432 + 26 × 10 (Use PEMDAS and show steps to how you got the answer) Plsss help me somebody :)
Using PEMDAS, the result of the expression is 692
The expression is given as:
432 + 26 * 10
Using PEMDAS, we start by evaluating the products
So, we have:
432 + 26 * 10 = 432 + 260
Using PEMDAS, we then evaluate the sum
432 + 26 * 10 = 692
Hence, the result of the expression is 692
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solve pls brainliest
How many sides do 1 quadrilateral, 5 hexagons, and 1 heptagon have in all?
Answer:
Pentagon - 5 sides = 5 x 4 = 20
Hexagon - 6 sides = 6 x 5 = 30
Nanagon - 9 sides = 9
20 + 30 + 9 = 59 IN TOTAL
Step-by-step explanation:
The mean of 16, X, 3, 14,57 is 22. Find
Х
Answer:
20
Step-by-step explanation:
Given,
The mean of 16, X, 3, 14, 57 is 22.
Therefore,
(16+X+3+14+57)/5 = 22
(16+X+3+14+57) = 110
(90+X) = 110
X = 110-90
X = 20
The value of x will be 20.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mean of set 16, X, 3, 14, 57 is 22.
Now,
Since, The mean of 16, X, 3, 14, 57 is 22.
Hence, By definition of mean we get;
⇒ 16 + X + 3 + 14 + 57 / 5 = 22
Solve for x as;
⇒ 90 + X / 5 = 22
⇒ 90 + X = 22 × 5
⇒ 90 + X = 110
⇒ X = 110 - 90
⇒ X = 20
Thus, The value of x will be 20.
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PLZZ HELP EMMMM!!!!
!!!!!!!!!!!!!!
[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
Answer:
Step-by-step explanation:
These two angles are interior and on the same side of the transversal. Therefore they are supplementary.
6x + x + 5 = 180
7x + 5 = 180 Subtract 5 from both sides
7x = 180 - 5
7x = 175 Divide by 7
x = 175/7
x = 25
x + 5 = 25 + 5 = 30
6x = 6*25 = 150
Kim is getting balloons for her uncle's birthday party. She wants each balloon string to be 12 feet long. At the party store, string is sold by the yard. If Kim wants to get 74 balloons, how many yards of string will she need? 1 foot = 1/3 yard
what is 3 x 7 = x 3 ?
Answer:
7
Step-by-step explanation:
21=3x
x=7
Answer:
x = 7
Step-by-step explanation:
3 x 7 = x 3
21 = 3x
x = 21/3 = 7
question:To make a certain shade of paint, Anya mixed 2/3 cups of white paint with 2 2/3 cups of blue paint
How many cups of blue paint should she mix with 3 cups of white paint to make the same shade?
Step-by-step explanation:
2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.
so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.
therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).
so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.