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sergejj [24]
2 years ago
13

in a biology course, students spend 250 minutes in a lab and lecture each week. the lab time is 20 minutes shorter than the lect

ure time. let x= the number of minutes the students spend in lecture​
Mathematics
1 answer:
Luden [163]2 years ago
6 0

Answer:

The students spent 135 minutes in lecture and 115 minutes in a lab.

Step-by-step explanation:

Let x and y be the respective amount of time students spent in lecture and lab.

x-20=y --- eqn 1

x+y=250 --- eqn 2

From eqn 1, x=y+20 --- eqn 3

Sub eqn 3 into eqn 2:

y+20+y=250

       2y=230

         y=115

Sub y=115 into eqn 3:

x=115+20

 =135

∴x=135, y=115

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Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads
Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

Distance = Speed \times Time

Distance\ OA = 10 \times 2.5 = 25\ km

Distance\ OB = 16 \times 2.5 = 40\ km

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled \triangle AOB.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km

The speed at which distance is increasing between the two boats is given as:

\dfrac{47.17}{2.5} \approx 18.87\ km/hr

4 0
2 years ago
What number has 2 hundreds and the tens digit is 9 more than the ones digit
SVETLANKA909090 [29]
290
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5 0
3 years ago
Kelsey correctly used the Fermi process and the following estimates to determine how many books would fill a railroad car.
rjkz [21]
Book = 1x12x15=180ft.
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6 0
3 years ago
Read 2 more answers
Perfect square trinomial:
Dennis_Churaev [7]

Answer:

k² - 18k + 81

Step-by-step explanation:

Using the given model then

(k - 9)² with a = k and b = 9

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= k² - 18k + 81

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3 years ago
What is the answer for 9-3(-4 3x) 12x in distributive property
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