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emmasim [6.3K]
3 years ago
14

A​ whale-watching tour boat cannot operate if the total passenger weight is more than 3 comma 150 comma 000 grams. What is the m

aximum number of​ tourists, weighing an average of 70 kilograms​ each, that can be allowed to take the​ tour?
Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

45

Step-by-step explanation:

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Cloud [144]
What’s the question
4 0
3 years ago
The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the r
insens350 [35]

Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

Area of a rectangle:

A rectangle has width w and length l. The area is the multiplication of these measures, that is:

A = wl

The length of a rectangle is the sum of the width and one.

This means that l = w+1, or w = l - 1

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

wl = 72

(l-1)l = 72

l^2 - l - 72 = 0

Quadratic equation with a = 1, b = -1, c = -72. So

\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289

l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9

l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8

Since the length is a positive measure, the length of the rectangle is of 9 units.

8 0
2 years ago
The sum of three consecutive even numbers is one hundred sixty - two.
Alenkasestr [34]

Answer:

 52

Step-by-step explanation:

Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...

  x + (x+2) +(x+4) = 162

  3x = 156 . . . . . . . . . . . .subtract 6

  x = 156/3 = 52

The smallest of the three numbers is 52.

___

I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.

5 0
2 years ago
Cally made a rectangular sandbox. It is 8 feet long and 10 feet
Mnenie [13.5K]

Answer:

160 pounds of sand.

Step-by-step explanation:

7 0
2 years ago
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What is square root of √120 please help me ?​
olga55 [171]

Answer:

The square root of 120 is about 10.95

Step-by-step explanation:

7 0
3 years ago
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