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Anika [276]
3 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]3 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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The product of a number and 8
Alex787 [66]

Answer:

8n

Step-by-step explanation:

The answer would be 8n because 8*n = 8n

5 0
3 years ago
Evaluate the expression below when x=-1. 2x^2-5/x+9
Greeley [361]

Hey there!


2x^2 - 5 / x + 9

= 2(-1)^2 - 5/ -1 + 9
= (2(-1)^2 - 5) / (-1 + 9)

= (2(1) - 5) / 8

= (2 - 5) / 8

= -3 / 8

≈ -0.375


Therefore, your answer is:

-3/8 OR -0.375

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER!

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

3 0
2 years ago
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-
coldgirl [10]

Answer:

c is all the points in the open interval (0,25)

Step-by-step explanation:

Here given is a function

f(x) =x, which is continuous  in the interval [0,25] and differentiable in (0,25)

Mean value theorem says there exists at least one c in the interval (0,25) such that

f'(c) = \frac{f(25)-f(0)}{25-0}

We have

f(25)=25 and f(0) = 0\\f'(c) = 1

For the given function

f'(x) =1

Hence we have c equals all the points in the open interval (0,25)

7 0
3 years ago
???????????????????????????????????????????????????????????????????????????????
garik1379 [7]

Answer:

Step-by-step explanation:

This problem is just really long- it's trying to confuse you with complicated wording. Here's it demystified:

a)

t = 0 degrees Celsius

d = 1500 meters

Find the temperature, T.

b)

d = 300 meters

T = 26 degrees Celsius

Find the ground temperature, t.

NOTE: The temperatures are different! T is the final temperature and t is the ground temperature.

3 0
3 years ago
A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 1
Nadya [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

1

3

3

5

7

8

10

10

12

12

Annual sales (Y) :

85

97

95

97

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

4 0
3 years ago
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