For a field trip,4 chaperones are needed for every 18 students. How many chaperones are needed if there are 81 students going on the trip

Answers

Answer 1
Answer: Divide 81 by 18 and multiply the quotient by four

Answer 2
Answer: # 4 per 18 students so
4/18 = .22 halves of a chaperon per student. lol
81 x .22 = 17.82 chaperons or in reality 18 chaperons.

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HELPPP PLEASEEEEEEEEE
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Express 0.001 in words.

Let the numbers m, n, p, and s be defined as: m = 0.1212121212... n = 0.1221221221... p = 0.1122112211... s = 0.1112221112... Which choice shows the correct ordering of these numbers?A) m < n < p < s
B) s < p < m < n
C) n < m < s < p
D) p < s < n < m
E) s < p < n < m

Answers

Short Answer: B
Comment

The < symbol means that the number on the left is smaller than the number on the right. When I was first stumbling through < or > the point goes to the smallest number and the open end goes to the most generous (largest) number. 

So in this question, the smallest number is on your left, and the largest number is on your right. 

Working it out
Method One

But which number is smallest and which way is biggest? You can get your calculator to tell you the answer. You can subtract one number from the other. Like m and p. Try m - p.
If you get a plus answer m>p
If you get a minus answer m<p
m = 0.12 p = 0.11
m - p = 0.12 - 0.11 = 0.01 and it is positive. 
Conclusion m>p   
Conclusion 2: A and C are both wrong.

Method Two
You can just scan the numbers with your eye and pick out the biggest one.
Start with m. 
It is 0.12 Is there anything bigger?
n is but you have to go to the third decimal place. n = 0.122 m = 0.121 n is bigger than m (and of course p).

So what does that do? Anything?
Yes it picks out the answer. B. Nothing is bigger than n so it should be on the far right. Only B shows that.

future value = P × (1+ i)t Kate wants to have $25,000 in 16 years. How much does she need to invest if the interest rate is 6 percent per year?

Answers

If Kate wants $25,000, then that's the future value.
i is the rate of change, which is 6% in this case, which is rewritten as 0.06.
P is the starting value, or what she has to originally put in, which is what we need to find.
You put times t but it's actually to the power of t, which is time.
The time in this problem is 16 years, so t is 16.
Let's rewrite the equation with the plugged in values.
25,000 = P(1 + 0.06)^16
Now simplify:
25,000 = P(1.06)^16
25,000 = P(1.06^16)
25,000 = P(2.54)
How do you find P?
Isolate the variable!
To do this, divide both sides by 2.54.
25,000 / 2.54 = 9842.52
So that means she needs to invest an original amount of $9,842.52 if she wants to have $25,000 in 16 years with a 6% interest rate per year.

Now just check your work:
25,000 = 9842.52(1 + 0.06)^16
25,000 = 9842.52(1.06^16)
25,000 = 9842.52(2.54)
25,000 = 25,000
It works!
So $9,842.52 is the correct answer.

Two positive numbers have a difference of 4 and a product of 96. What are the numbers

Answers

x-y=4\n xy=96\n\n x=4+y\n xy=96\n\n (4+y)y=96\n 4y+y^2=96\n y^2+4y-96=0\n y^2+4y+4-100=0\n (y+2)^2=100\n y+2=10 \vee y+2=-10\n y=8 \vee y=-12\n x=4+8\n x=12\n\n 8 \hbox{ and } 12
I used guess and check for this one, it would be 8 and 12, they both have a difference of 4 and a product of 96.

Ted is constructing an equilateral triangle. He draws a segment with his straightedge and labels the endpoints A and B. He then puts the compass point on A, opens the compass until the pencil point is on B, and draws a circle.Which move is a correct next step for Ted?


Keep the same compass opening, place the compass point on B, and draw a circle.

Shorten the compass opening, place the compass point on B, and draw two arcs that intersect the circle.

Keep the same compass opening, place the compass at the midpoint of the segment, and draw a circle.

Widen the compass opening, place the compass point on B, and draw a circle.

Answers

Final answer:

To construct an equilateral triangle, Ted should maintain the same compass opening and draw another circle from point B. The intersection point of these two circles will form the third point of the equilateral triangle.

Explanation:

To construct an equilateral triangle, the correct next step for Ted, after drawing a circle with compass point on A and reaching B, would be to keep the same compass opening, place the compass point now on point B, and draw another circle. Where this second circle intersects with the first one, that will be the third point of the equilateral triangle.

This is because in an equilateral triangle, all the sides are of the same length. So, keeping the compass opening the same ensures that the distance from A to B is equal to the distance from B to the new point, and hence you get an equilateral triangle.

Learn more about Equilateral Triangle Construction here:

brainly.com/question/36949844

#SPJ11

Answer:

Step-by-step explanation:

Keep the same compass opening, place the compass point on B, and draw a circle.

HELPPPP WILL GIVE BRAINLIEST

Answers

Answer:

79

Step-by-step explanation:

Since the triangles are similar, the sides that are the same length have angles that are the same size at the top.

Congruent triangles always have at least 3 identical elements — like if both have a right angle, a 30° angle and a 12cm side.

We are given that these two are congruent in the text. We have two identical elements so far — angle of 35 and the side opposite the angle of 35 (which is what the little line in the middle means) — but we are missing that angle G.

Since angle G in the second triangle is in the same place as the angle of 79 in the first one (between the side with the line in it and the angle of 35), we know that angle will be also 79, given that the triangles are congruent (or identical, in other words). So your answer is 79°.

Are two lines that lie in parallel planes always parallel?

Answers

Of course not.

-- Take a washable marker, and give your little sister another washable marker.

-- Stand back-to-back in your bedroom, you facing the front wall, and her facing the back wall.

-- When you say 'GO', both of you draw a straight line on the wall.
   Then look at the lines.

-- The front and back walls are parallel planes, but it would be
amazing if the two lines are parallel.  One could even be a
horizontal line and the other a vertical one . . . definitely not parallel.