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maw [93]
3 years ago
13

You are biking at a speed of 18 miles per hour. You are 3 miles behind your friend who is biking at a speed of

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

12t -3 = 18t

Step-by-step explanation:

Let

d = your friends distance in miles

t = time in hrs

Your equation:

d - 3 = 18t (1)

Because you are 3 miles behind your friend

Your Friend's equation:

d = 12t (2)

To find the amount of time t it takes for you to catch up with your friend,

Substitute (2) into (1)

d - 3 = 18t

12t - 3 = 18t

Equation to find the amount of time t it takes for you to catch up to your friend is 12t - 3 = 18t

Solving the equation

12t - 3 = 18t

Collect like terms

12t - 18t = 3

-6t = 3

t = 3/-6

= -0.5

t = 1/2 hour

Time can not be negative, therefore it will take 1/2 an hour to catch up with your friend

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20. A magnifying glass shows the image of an object that is 6 times the object's actual size. Determine the
erik [133]

Answer:

20 mm

Step-by-step explanation:

Divide 120 by 6

3 0
2 years ago
What is the summation notation for the series? 200+175+150+125+___+(-300)
ozzi
  21
  E    (225-25n)
n=1
So its D.
5 0
3 years ago
Read 2 more answers
5. Michael wants to place grass on the sides of his
Elden [556K]

Area of the shaded region to be covered with grass is 204 yd²

Step-by-step explanation:

  • Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.

Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them

Sum of parallel sides = 25 yd + (3 + 12) = 40 yd

Distance between them = 12 yd

⇒ Total area = 1/2 × 40 × 12 = 240 yd²

  • Step 2: Find the area of the lap pool.

Area = length × width = 12 × 3 = 36 yd²

  • Step 3: Find the area of the shaded region

Area to be covered with grass = 240 - 36 = 204 yd²

6 0
3 years ago
Read 2 more answers
MARK AS BRAINLIEST
Arisa [49]

Answer:

The answer to your question is 25%

Step-by-step explanation:

Data

Initial price = $2.00

Final price = $2.50

First we subtract the final price to the inicial price

              increment = 2.50 - 2.00

                                = $0.50    It's the amount that the school increases to the community members

            Now we use a rule of three to find the percent

                 $2.00 ----------------------  100%

                 $0.50  ---------------------    x

x = 0.50 x 100/2 = 50/2 = 25%          

4 0
3 years ago
Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = \frac{640.41}{32}

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
2 years ago
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