MATHEMATICS HIGH SCHOOL

The ratio of chaperones to students on a field trip is 2:7. There are 14 chaperones on the field trip. In all, how many chaperones and students are on the field trip

Answers

Answer 1
Answer: To find the total number of chaperones and students on the field trip, you can use the given ratio and the fact that there are 14 chaperones. The ratio of chaperones to students is 2:7.

Let C represent the number of chaperones and S represent the number of students. According to the ratio:

2:7 = 14:C

To solve for C, you can set up a proportion:

2/7 = 14/C

Now, cross-multiply:

2C = 7 * 14

2C = 98

Now, divide both sides by 2 to find the number of chaperones (C):

C = 98 / 2

C = 49

So, there are 49 chaperones and 7 times as many students:

Students (S) = 7 * Chaperones (C) = 7 * 49 = 343

In total, there are 49 chaperones and 343 students on the field trip.

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Domain of root(3-2x)+root(1-x)
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A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
What's the verbal expression for the algebraic expression 1/8y .?

Given a conditional statement p → q, which statement is logically equivalent? ~p → ~q
~q → ~p
q → p
p → ~q

Answers

Hello,
p=>q  is equivalent to ~q → ~p


p-------q-------p=>q--~q ----- ~p----~q → ~p
0-------0-------1-------1 ------- 1------- 1
0-------1-------1-------0-------  1------- 1
1-------0-------0-------1-------  0-------0
1-------1-------1-------0-------  0-------1

Column 3= column 6 ==>equivalent


Answer B

The logically equivalent statement to p → q is:

~q → ~p

How to find the logically equivalent statement?

The conditional statement:

p → q

p and q are propositions, then the conditional statement is can be written as:

  • if p is true, then q is also true.

So, always that p is true, q is also true, this means that if q is not true, then p must also not be true.

Then we can rewrite this using the negation propositions, which are:

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

If you want to learn more about statements, you can read:

brainly.com/question/1601404

The Kent family must pay $2,868 in property tax on their home this year. Their house payment is $755per month. What is their payment each month with the tax? Assume that the tax is paid in equal
monthly instauments.
Their payment with tax is $ per month

Answers

their payment would be $994 including taxes.

Solve this equation -9-6+12h+40=22

A. h=24
B. h= -4/7
D. h= -4

Answers

Answer:

h=-(1)/(4)

Step-by-step explanation:

We have been given an equation -9-6+12h+40=22. We are asked to solve our given equation.

First of all, we combine like terms as shown below:

-15+12h+40=22

12h+25=22

Now, we will subtract 25 from both sides of our equation.

12h+25-25=22-25

12h=-3

Upon dividing both sides of our equation by 12, we will get:

(12h)/(12)=(-3)/(12)

h=-(1)/(4)

Therefore, the solution for our given equation is h=-(1)/(4).
-9-6+12h+40=22
12h+25=22
12h=-23
h=-23/12

Between which two consecutive integers does lie?A. 10 and 11

B. 11 and 12

C. 12 and 13

D. 133 and 135

Answers

the answer is b

but the question is not clear

The sales tax rate is 4%. If Xavier buys a balance beam priced at $687 ,how much tax will he pay?

Answers

Answer:

$27.48

Step-by-step explanation:

687*0.04 which is $27.48

Hope this helps plz hit the crown :D

Answer:

27.48

Step-by-step explanation:

687 x .04 = 27.48

If a number of mice living in a field triples each year. what type of function represents this pattern?A.) Exponential decay
B.) Increasing linear
C.) Exponential growth
D.) Decreasing linear

Answers

Answer:

The type of function that represents this pattern is:

Option: C)

C.) Exponential growth.

Step-by-step explanation:

It is given that the number of mice living in a field triples each year.

This means that the population of mice is increasing at a constant rate i.e. 3 each year.

So, the function that represent this pattern is  a exponential growth.

Also let P(t) be the function that represents the population of mice after 't' years.

Then P(t) is modeled as:

P(t)=3^tP_0

where P_0 is the initial population of the mice.

Hence, Option: C is the correct answer.

C) Exponential Growth.
Expotential Growth for Apex
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