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svetoff [14.1K]
3 years ago
10

Ms. Brockman wants to take her class on a trip to either the nature center or the zoo. The nature center charges $4 per student,

plus $95 for a 1-hour naturalist program. The zoo charges $6 per student plus $75 for a 1-hour guided tour. Find the number of students where the two field trips would have the same cost.
Mathematics
2 answers:
Elanso [62]3 years ago
7 0

Step-by-step explanation:

ten students.

4(10)+95=135

6(10)+75=135

4x+95=6x+75

-75+4x+95=6x+75-75

4x+20=6x

-4x+4x+20=6x-4x

20=2x

(20=2x)/2

x=10

Evgesh-ka [11]3 years ago
4 0

Answer:

10 students

Step-by-step explanation:

4(10)+95=135

6(10)+75=135

4x+95=6x+75

-75+4x+95=6x+75-75

4x+20=6x

-4x+4x+20=6x-4x

20=2x

(20=2x)/2

x=10

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Perimeter=42 meters what is the length
Dominik [7]
4a= 42
a = 42/4 = 21/2cm
7 0
4 years ago
the number of men is five eights of the number of women working in a factory if there is 24 more women than men how many workers
Anna [14]

Answer:

104

Step-by-step explanation:

women = 8/8

men = 5/8

all workers = 8/8 + 5/8 = 13/8

extra women workers = 8/8 - 5/8 = 3/8

so...

3/8 = 24

13/8 = x

( cross multiplication method)

3/8 x = 39

x = 104

Hence, there are 104 workers

6 0
2 years ago
Read 2 more answers
Could someone help me step by step with this question?
a_sh-v [17]
\frac{2}{3}(9+x)=-5(4-x)  \\ \\   3*\frac{2}{3}(9+x)=3*[-5(4-x)]  \\ \\ 2(9+x)=-15(4-x)  \\ \\ 18+2x=-60+15x  \\ \\ -13x=-78  \\ \\  \cfrac{-13x}{-13} = \cfrac{-78}{-13} \\ \\  x=6
7 0
3 years ago
The circumference of a circle is 314 units. What is the area?
german

Answer:

7850 square units

Step-by-step explanation:

According to the question;

  • Circumference of a circle is 314 units;

We are required to find the area of the circle;

  • First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

              = 100 units

But, radius = Diameter ÷ 2

                  = 100 units ÷ 2

                  = 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

                   = 7850 square units

Thus, the area of the circle is 7850 square units

4 0
3 years ago
The question attached please.
Luda [366]

One adult ticket costs £11 and one child ticket costs £8.5

Step-by-step explanation:

Let,

Adult ticket = a

Child ticket = c

According to given statement;

3a+4c=67   Eqn 1

5a+6c=106   Eqn 2

Multiplying Eqn 1 by 5;

5(3a+4c=67)\\15a+20c=335\ \ \ Eqn\ 3

Multiplying Eqn 2 by 3;

3(5a+6c=106)\\15a+18c=318\ \ \ Eqn\ 4

Subtracting Eqn 4 from Eqn 3

(15a+20c)-(15a+18c)=335-318\\15a+20c-15a-18c=17\\2c=17\\

Dividing both sides by 2

\frac{2c}{2}=\frac{17}{2}\\c=8.5

Putting c=8.5 in Eqn 1

3a+4(8.5)=67\\3a+34=67\\3a=67-34\\3a=33

Dividing both sides by 3;

\frac{3a}{3}=\frac{33}{3}\\a=11

One adult ticket costs £11 and one child ticket costs £8.5

Keywords: Linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

6 0
3 years ago
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