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3 years ago

What is the gradient of the blue line

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Answer:The blue line is the tangent line that passes through the point (0.75, 0.25). The point on the tangent line is (3, 4). The gradient of the curve is approximately 0.6. Note: Parallel lines have the same gradient.

Step-by-step explanation:

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A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from

sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

5 0

2 years ago

What is the answer for 7.5+2.3y-y

Alexxx [7]

Answer:

9.8

Step-by-step explanation:

7.5+2.3y-y

Subtract y

7.5+2.3

Then Add

9.8

7 0

3 years ago

The basketball court has an area of 150+175t, with a width of 25. what is the length

Airida [17]

L x w = 150+175t
=> l = (150+175t)/25
l = [25(6+7t)/25]
l = 6+7t
The expression of the length is l=6+7t

3 0

3 years ago

Please help thank you very much.

Makovka662 [10]

Hello!

First you have to find the volume of the cube

To do this we use the equation a^3

a is a side length

24^3 = 13824

The maximum pyramid can have a maximum side length of 24 and a maximum height of 24 since that is what the cube measurements are

The equation for the volume of a square pyramid is

$a^{2} \frac{h}{3}$

a is side length
h is height

put in 24 for the values

$24^{2} \frac{24}{3}$

Square the 24

$576 \frac{24}{3}$

Divide

576 * 8 = 4608

The answer is B) 4608 cubic centimeters

Hope this helps!

5 0

3 years ago

Enter the numb bee that belongs in the green box

bulgar [2K]

this is the answer

210.28

7 0

3 years ago