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DIA [1.3K]
2 years ago
7

A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 studen

ts at a time. How many tour guides are needed so all 83 students are able to participate in a guided tour of the aquarium
Mathematics
2 answers:
Fiesta28 [93]2 years ago
8 0

Answer:

17 tour guides

Step-by-step explanation:

First, we need to divide 83 by 5.

  • 83 ÷ 5 = 16 R 3

As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.

adelina 88 [10]2 years ago
3 0

Answer:

They need 17 tour guides

Step-by-step explanation:

If we divide 83 by 5, we would get 16.6, and since we can't have 16.6 tour guides, we round to the nearest whole number, which is 17.

To order for all students to participate, they would need 17 tour guides.

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The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere.
raketka [301]

Answer:

400cm²

Step-by-step explanation:

the surface area of the sphere =

4/3 x The total surface area of a hemisphere

=> 4/3 x 300 = 400cm²

7 0
2 years ago
QUESTION 20
Elodia [21]

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) f(x) =-2\cdot x ^{2}-6 Dado

2) g(x) = x+4 Dado

3) (f-g)(x) = (-2\cdot x^{2}-6)-(x+4) Definición de resta de funciones.

4) (f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)        (-1)\cdot a = -a

5) (f-g)(x) = (-2\cdot x^{2}-6) + (-x-4) Propiedad distributiva/(-1)\cdot a = -a

6) (f-g)(x) = -2\cdot x^{2}-x+(-6-4) Propiedad conmutativa

7) (f-g) (x) = -2\cdot x^{2}-x-10 Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en x = -5:

(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10

(f-g)(-5) =-55

Por ende, la respuesta correcta es B.

8 0
3 years ago
What is the simplified value of the expression below? 8.5+(12+4)x2-7
Lilit [14]
B. 33.5 is your answer
First you want to add 12+4 because it is in parentheses
8.5+16x2-7
Then you multiply 16 by 2
8.5+32-7
Then you add 8.5 to 32
40.5-7
Then you subtract 7 from 40.5 giving you your answer
33.5
7 0
3 years ago
Read 2 more answers
Find the volume of the triangular prism.
goldfiish [28.3K]

Answer:

V = 31.5 in ^3

Step-by-step explanation:

The volume is Bh

The base is the triangle

B = 1/2 (7) *2

B = 7 in^2

Now find the volume

V = 7* 4.5

V = 31.5 in ^3

5 0
3 years ago
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with
Katen [24]

Answer:

  1. Elanor's standardized score is  1.19
  2. Gerald's standardized score is 0.72
  3. Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=\frac{X-M}{s} where

  • X is the student's score
  • M is the mean score of the exam
  • s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = \frac{680-554}{106} ≈ 1.19

Gerald's standardized score is:

z(g)= \frac{27-24.7}{3.2} ≈ 0.72

Since z(e) > z(g), Elanor has higher score

6 0
3 years ago
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