School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 80 students? A. 6 chaperones

B. 40 chaperones

C. 3 chaperones

D. 7 chaperones

Answers

Answer 1
Answer: We are given that the ratio of chaperon to student is at least 2 chaperon per 25 students. In this case, the number of chaperons of 80 students is 2 chaperon per 25 students * (80 students) equal to 6.4 chaperons .Since only natural numbers are allowed, then the answer should be D.7 chaperons 
Answer 2
Answer: The answer is d you would need 7. 6 would only cover 75 students.

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What is the result when 4x^2-17x+36 is subtracted from 2 x^2-5x+25?
Maggie spent $4.05 on cheese and fruit at the farmers market. she bought 1/8 pound of apples, 1/4 pound of pears, and 1.25 pounds of bananas. If fruit cost $0.80 per pound, how much did Maggie spend on cheese?
What additional information is required for the 2 triangles to be congruent by ASA
What are 2 numbers that add up to 14 and multiply to 45?

Find the next term of the given sequence. 1.31, 2.54, 3.77, ... 4.90 5.00 5.10

Answers

Answer:

Option B is correct.

the next term of the sequence is 5.00

Explanation:

Arithmetic progression(A.P) is a sequence of numbers in which the consecutive terms are formed by adding a constant quantity with the preceding term.


Common difference(d) is the constant quantity stated in the above definition of arithmetic progression. it is given by;

d=a_(n+1) - a_n for all n∈N


Given sequence:-  1.31, 2.54 , 3.77 , ___ ;

we have;

a_1 = 1.31 , a_2= 2.54 and  a_3 = 3.77

First find the common difference;

d =a_2 - a_1 = 2.54-1.31 = 1.23

or

d = =a_3-a_2 = 3.77-2.54 =1.23

Therefore, by the definition of arithmetic progression,

the given sequence is Arithmetic progression

Now, to find the fourth term of the sequence, add constant quantity (d) to the third term;

a_4 = 3.77+1.23 = 5.00

Therefore, in the given sequence next term will be 5.00.


It is A.P. with common difference = 2.54-1.31 = 1.23

So, next term would be 3.77+1.23 = 5.00

OPTION B IS YOUR ANSWER

What is the result of subtracting the second equation from the first? -2x+y = 0
-7x+3y = 2

Answers

Answer:

-5x + 2y=2

Step-by-step explanation:

- 7x + 3y = 2 \n  - 2x + y = 0 \n subtracting \: this.we \: have \n  ( - 7x \:  + 3y - 2) - ( - 2x + y) \n  - 7x + 2x + 3y - y - 2 \n  - 5x + 2y - 2 \n therefore \: we \: have \n  - 5x + 2y = 2

Ian is another of Josie’s clients. He is 60 years old. What is the MHR for Ian when he is training

Answers

Answer:

166 bpm

Step-by-step explanation:

Ian's age = 60

MHR stands for maximum heart rate. There are two methods of calculating the MHR :

1) MHR = 220-age

2) MHR = 217-(0.85×Age)

Both the methods are easy to solve but the most accurate is the second one, hence we use the second method to calculate MHR of Ian.

MHR = 217-(0.85×Age)

        = 217-(0.85×60)

        166

Since the MHR is calculated in beats per minute (bpm)

Therefore, MHR of Ian = 166bpm

MHR=190-(age-30)/2
MHR=190-(60-30)/2
MHR=190-(30/2)
MHR=190-15
MHR=175 bpm

Write an equation of the line
Passes through the points (4,2) and (6,8)

Answers

Work out gradient so change in y/change in x=8-2/6-4=3
So m=3 where m is the slope. As you go across by 1 you go up by 3
I think you would use y-y1=m(x-x1)
Using (4,2) =y-2=3(x-4)
y-2=3x-12
y=3x-10

Find 2 consecutive odd numbers given that difference between their resiprocal is 2/63

Answers

consecutive odd numbers are 2n+1, 2n+3

difference of reciprocals
1/(2n+1) - 1/(2n+3) = 2/63
((2n+3) - (2n+3))/(2n+1)(2n+3) =2/63
2/(4n^2 + 8n +3) =2/63
4n^2 + 8n +3 = 63
4n^2 + 8n -60 = 0
n^2 + 2n - 15 = 0
(n + 5)(n - 3) = 0
n = 3 (only positive)
numbers are 2(3)+1=7 and 9
Those odd numbers are nine and seven.

What is the greatest number of acute angles that a triangle can contain?

Answers

Answer:

The greatest number of acute angle a triangle can contain are:

3

Step-by-step explanation:

We know that a acute angle is a angle whose measure is less than 90°.

Now we know that the sum of all the angles of a triangle is 180°.

Now we have to find such 3 angles which are less than 90° and add up to 180°.

Let we consider a equilateral triangle.

In a equilateral triangle each angle measures 60°<90°.

and also:

60+60+60=180°.

Hence, the greatest number of acute angles a triangle can contain are:

3.

3 because you can have a 60 60 60 triangle