the age of two groups of yoga students are shown in the following dot plot

Fathi will need 12 sheets of paper to print a 48 page PDF document by printing two pages on each side of the paper. The total page count is halved twice, once for each side of a sheet and again for each pages printed per side.

Fathi has a PDF document that is 48 pages long and he wants to print it in a way that saves paper. This involves printing two pages on each side of a sheet of paper and then using both sides of the sheet. To find out how many sheets he will need, we can start by halving the total page count because printing two pages on each side means we effectively halve the number of pages. So, 48÷2 equals 24 'effective' pages. Then, because he's printing on both sides of each sheet, we halve that number again, giving us 24÷2 equal 12 sheets of paper. So Fathi will need 12 sheets of paper to print his 48-page document.

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To find the number of boys at Molly's daycare that are under 1 year old, we can use the given fractions to calculate the answer.

To find the number of boys at Molly's daycare that are under 1 year old, we first need to determine the total number of boys at the daycare. Since 1/8 of the children are boys, we can assume that 1/8 of the total number of children are boys. Let's say there are a total of x children at the daycare. If 1/8 of x represents the number of boys, we can write the equation (1/8) * x = number of boys. Now, we need to find the number of boys that are under 1 year old. Since 2/5 of the boys are under 1 year old, we can write the equation (2/5) * (1/8) * x = number of boys under 1 year old. Simplifying this equation gives us the answer: (1/20) * x = number of boys under 1 year old.

The length of the number line segment satisfying the inequality (x-4)² ≤ 9 is 6 units, found by solving the inequality to get the range 1 <= x <= 7 and subtracting the lower endpoint from the higher endpoint.

To find the length of the segment of the number line for the points that satisfy the inequality (x-4)² ≤ 9, we first solve the inequality. Taking square roots of both sides gives us |x-4| ≤ 3.

This means that the distance from x to 4 on the number line is less than or equal to 3. We can express this as two separate inequalities: x-4 ≤ 3 and x-4 ≥ -3. Solving these gives us x ≤ 7 and x ≥ 1, which represent the endpoints of the segment on the number line.

The length of this segment is the difference between the endpoints, which is 7 - 1 = 6. So, the length of the number line segment that contains all points satisfying the original inequality is 6 units.

The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.

What is an expression?

Expression in math is defined as the collection of the number, variables and functions by using operations like addition, subtraction, multiplication, and division.

The mathematical expression is given as;

⇒ - 21.8 - (- 18.3)

Now, Solve the expression as;

The mathematical expression is

⇒ - 21.8 - (- 18.3)

= -21.8 + 18.3        

(Since, Two negative sign give positive sign after combine.)

After subtract the numbers we get;

= - 3.5

So, The equivalent expression is;

⇒ - 21.8 - (- 18.3) = - 3.5

Thus, The equivalent expression of the expression -21.8 - (-18.3) will be -3.5.

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Answer:

you been waiting for your answer since 2017 bru im so sorry LLMA O the answer is 840

Answer:

840

Step-by-step explanation:

30 + 62 + 8 = 100

100 x 12 = 1,200

70 people out of 100 do activities for at least three hours a week.

70 x 12 = 840

100 x 12 = 1,200

840/1,200 in the school are expected to play outdoor games for at least three hours every week.

oml you asked this question in 2017. THATS 5 YEARS AGO

sorry

r = 62 mph

t = 4.5 hours

d = 4.5*62 = 279 total miles

Answer:

A perfect cube is a number that is the result of multiplying a whole number by itself three times. Check a number by finding the cube root. If the cube root is a whole number, then the number is a perfect cube.

Answer:

Option D.

Step-by-step explanation:

In the graph attached if we consider a point X. We find that the given point or figure is reflected over the y - axis first.

It means x gets a mirror image in second quadrant when reflected over y-axis (equidistant form y-axis) and the coordinates of X' becomes(-3, 2).

Now this point X'(-3, 2) is translated down by 5 units to form a new point Y in third quadrant with the new coordinates (-3, -3)

Y- coordinates of Y = Y coordinates of X' - (-3)

                                = 2 - (-3) = 5 units down.

Therefore, Option D.is the correct option.

L= 2+w

I cannot solve this, however, because you have not included the total perimeter/area

The length and width of a rectangle can be represented as x + 2 cm and x cm, respectively.

In this problem, we are given that the length of a rectangle is 2 centimeters more than the width. Let's say the width of the rectangle is x centimeters. Then, the length of the rectangle would be x + 2 centimeters.

So, the dimensions of the rectangle are: length = x + 2 cm and width = x cm.

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Answer:

The required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].

Step-by-step explanation:

Consider the provided graph.

The y-intercept of the line is, (0,-2)

The x-intercept of the line is, (1,0)

To find the equation of line use the formula:

[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute [tex](x_1,y_1)=(0,-2)\text{and}(x_2,y_2)=(1,0)[/tex]

[tex]y-(-2)=\frac{0-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\frac{(2)}{1}(x)[/tex]

[tex]y+2=2x[/tex]

[tex]y=2x-2[/tex]

Therefore the equation of line is [tex]y=2x-2[/tex].

The graph is solid line and shaded region is above the line. So, use the inequality sign "≥".

Thus, the required inequality that shown in the given graph is [tex]y\geq 2x-2[/tex].

The probability of the product being even when two six-sided dice are rolled is 3/4 or 0.75, since there is a 1/2 chance of rolling an even number on each die, and the only way to have an odd product is if both dice show odd numbers.

To solve this problem, we will find the probability that the product of two rolls of a six-sided die is even. The product of two numbers is even if at least one of the numbers is even. In the case of a six-sided die, there are 3 even sides (2, 4, 6) and 3 odd sides (1, 3, 5).

For the first roll, the probability of rolling an even number is 3 out of 6, or 1/2. The second roll is independent of the first, so the probability of rolling an even number again is also 1/2. To find the probability that at least one roll is even, we can use the complement rule which states that the probability of an event 'E' is 1 minus the probability of the event's complement. The only way not to get an even product is to roll two odd numbers.

The probability of rolling an odd number on the first toss is 3/6, and similarly 3/6 for the second toss. Therefore, the probability of both being odd is (3/6) × (3/6) which simplifies to 1/4. Hence, the probability of at least one die being even (and therefore the product being even) is 1 - 1/4 = 3/4.

The final answer is that the probability of getting an even product from two rolls of a six-sided die is 3/4 or 0.75.

19.   13(x+5)=91

20.   (-8)×x-15=30

21.   p=23w

22.   S=P+2

23.   7

24.   -13

25.   -8

26.   13

27.   -10

28.   -72

29.   -6

30.   3

To produce a pie chart reflecting 2/3, the pie must be divided into 3 equal parts, representing the whole. Two of these sections are then filled in or marked, representing the 2 in the fraction 2/3 or roughly 66.7% of the total pie chart.

To create a pie chart representation of the fraction 2/3, you need to think of the pie as representing the whole or 1. From there, we split the pie into 3 equal parts (since your denominator is 3), then, you will shade in 2 of those parts (as your numerator is 2). That shaded area of the pie chart represents 2/3.

It's essential to remember that each slice of the pie in a pie graph represents a share of the total or percentage. Thus, if you consider your pie to be 100%, then each one-third piece would be roughly 33.3%, and two of these would give you approximately 66.7%, which is the decimal equivalent of 2/3.

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Final answer:

The prime factorization of 57 is 3 × 19, and the prime factorization of 54 is 2 × 3 × 3 × 3.

Explanation:

The prime factorization of 57 is 3 × 19. To find the prime factorization of 57, we start by dividing the number by the smallest prime number, which is 2. We continue dividing until we cannot divide any further. In this case, 57 is not divisible by 2. Next, we try dividing by the next smallest prime number, which is 3. 57 divided by 3 equals 19, which is a prime number. Therefore, the prime factorization of 57 is 3 × 19.

The prime factorization of 54 is 2 × 3 × 3 × 3. To find the prime factorization of 54, we use the same process. We start by dividing the number by 2, then 3, and so on, until we cannot divide any further. 54 divided by 2 equals 27. 27 divided by 3 equals 9, and 9 divided by 3 equals 3. 3 is a prime number, so we stop here. Therefore, the prime factorization of 54 is 2 × 3 × 3 × 3.

This question is based on the concept of Euler’s Formula. Therefore, there are 40 edges.

Given:

Faces: 25 Vertices: 17

We need to determined the number of edges by using the  Euler’s Formula (F + V = E + 2).

According to the question,

It is given that,

Faces: 25

Vertices: 17

By using Euler’s Formula ,

F + V = E + 2

Now put all the given values in the formula.

We get,

25 + 17 = E + 2

42 = E + 2

42 - 2 = E

E = 40

Therefore, there are 40 edges.

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Answer:

brainlist plzz

Step-by-step explanation: