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svetoff [14.1K]
2 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]2 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]2 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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The vector v⃗ in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis.
allsm [11]

The vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis is: (3/√2, 3√2) and The vector w in 3-space of length 1 lying in the yz-plane pointing upward at an angle of 2π/3 measured from the positive y-axis is: (0, -1/2, √3/2).

<h3>Vector</h3>

a. Vector (v)

Vector (v)=v (cos Ф, sin Ф)

V=1 while the counterclockwise angle that is measured from positive x=Ф=π/4

Hence:

Vector=3(cos π/4, sinπ/4)

Vector=(3/√2, 3√2)

b. Vector w:

Vector w=1(0, cos 2π/3, sin2π/3)

Vector w=(0, -1/2, √3/2)

Therefore the vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis is: (3/√2, 3√2) and The vector ws: (0, -1/2, √3/2).

The complete question is:

Resolve the following vectors into components:

a. The vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis.

(b) The vector w in 3-space of length 1 lying in the yz-plane pointing upward at an angle of 2π/3 measured from the positive y-axis.

Learn more about vector here:brainly.com/question/25705666

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5 0
1 year ago
A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their
kifflom [539]

Answer:

p(x) = -0.01x + 15

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

(x_1,p_1) = (500,10)

A reduction of 50c gives an increment of 50 tickets.

This gives:

(x_2,p_2) = (500+50,10-0,5) ---- 50c = \$0.5

(x_2,p_2) = (550,9.5)

Required

Determine the demand function

First, calculate the slope:

m = \frac{p_2 - p_1}{x_2 - x_1}

m = \frac{9.5 - 10}{550-500}

m = \frac{-0.5}{50}

m = -0.01

So, the equation is:

p = m(x - x_1) + y_1

p = -0.01(x - 500) +10

p = -0.01x + 5 +10

p = -0.01x + 15

Hence, the function is:

p(x) = -0.01x + 15

4 0
3 years ago
Does anybody know what the answer to this question is?
crimeas [40]

Answer:

equation 15+8=

solution= 23

Step-by-step explanation:

its ez

7 0
2 years ago
In the coordinate plane, what is the length of the line segment that connects points at
DaniilM [7]
Draw up a right triangle to connect these two points with the line itself being the hypotenuse. Then use pythagorean theorem to solve for the hypotenuse
3 0
3 years ago
Read 2 more answers
If f(x) =x-1 and g(x)=5x-2, then (f+g)(x)=
Dvinal [7]

Answer:

5x²-7x+2

step by step explanation:

(f•g)(x) = f(x)•g(x)

(x-1)•(5x-2)

x×5x-2x-5x-1×(-2)

5x²-2x-5x+2

=5x²-7x+2

8 0
3 years ago
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