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Anika [276]
2 years ago
14

A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students

. The bus can hold a maximum of 54 teachers and students. If t represents the number of teachers and s represents the number of students, which of the following systems of inequalities best describes the possible numbers of teachers and students who can go on the trip?
​
Mathematics
1 answer:
ValentinkaMS [17]2 years ago
8 0

Answer:

A maximum of 43 students and 11 teachers can go to the trip.

Step-by-step explanation:

Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:

4 + 1 = 5

54/5 = X

10.8 = X

10 x 4 = 40

10 x 1 = 10

4 - 1 = 3

Therefore, a maximum of 43 students and 11 teachers can go to the trip.

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At the book store, you purchased some $3 clearance mystery books and $8
nasty-shy [4]

Answer:

15 of $3 books and 4 of the $8 books

Step-by-step explanation:

15×3= 45

8 × 4= 34

45+32= 77

3 0
3 years ago
I need the answer now in the comments
RUDIKE [14]
Hypotenuse leg would be right
8 0
2 years ago
Please help!
crimeas [40]

Answer:

The zeros are:

x =4, x=2, x = 5

  • The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

0=\left(x-4\right)^2\left(x^2-7x+10\right)

switch sides

\left(x-4\right)^2\left(x^2-7x+10\right)=0

as

x^2-7x+\:10=\left(x-2\right)\left(x-5\right)

so

\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0

Using the zero factor principle

  • \mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

so

x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

  • The function has three distinct real zeros.

Hence, option (B) is true.

4 0
2 years ago
You go to the outlet mall with a friend and buy a jacket for $49.00 and new Vans for $55.00. Sales tax in Texas is 8.25%. How mu
Vlada [557]

Answer:

Amount spent after sales tax = $112.58

Step-by-step explanation:

Given that:

Cost of jacket = $49.00

Cost of new Vans = $55.00

Total spent = 49.00 + 55.00 = $104.00

Sales tax = 8.25%

Amount of sales tax = \frac{8.25}{100}*104

Amount of sales tax = $8.58

Total after sales tax = 104.00 + 8.58 = $112.58

Hence,

Amount spent after sales tax = $112.58

3 0
2 years ago
Find an explicit formula for the geometric sequence -40,-20,-10......
garik1379 [7]

Answer:

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

c(n) = c_{1}\cdot r^{n-1}, n \ge 1 (1)

Where:

c_{1} - First term.

r - Geometric rate.

n - Position of the element within the series.

If we know that c_{1} = -40 and r = \frac{1}{2}, then the explicit formula for the geometric sequence is:

c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

3 0
3 years ago
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