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ElenaW [278]
3 years ago
5

A frightened dot ran from −5 to 34. What distance did it cover? If the whole run took the dot 3 minutes, what was its average sp

eed?
Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

<u>The average speed of the frightened dot was 13 units per minute.</u>

Step-by-step explanation:

Let's find out the distance covered by the frightened dot, as follows:

Distance = (Distance from - 5 to 0) + (Distance from 0 to 34)

Distance = 5 + 34

Distance = 39

Now, let's find out the average speed of the dot, this way:

Average speed = Distance/Time

Average speed = 39/3

<u>Average speed = 13 units per minute</u>

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If f(x) =x 2 + 10, what is f (-5)?
lisov135 [29]

Answer:

f(-5) = 35

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² + 10

f(-5) is x = -5

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(-5) = (-5)² + 10
  2. Exponents:                   f(-5) = 25 + 10
  3. Add:                              f(-5) = 35
7 0
2 years ago
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 45 minutes?
muminat

Answer:

390 miles

Step-by-step explanation:

7 0
3 years ago
Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi
Lilit [14]

ANSWER

• Circumference: 18.84 ft

,

• Area: 28.26 ft²

EXPLANATION

The circumference of a circle of radius r is,

C=2\pi r

In this case, the radius is r = 3 ft and we have to use 3.14 for π,

C=2\cdot3.14\cdot3ft=18.84ft

Hence, the circumference of this circle is 18.84 feet.

The area of a circle of radius r is,

A=\pi r^2

In this case, r = 3 ft and π = 3.14,

A=3.14\cdot3^2ft^2=28.26ft^2

Hence, the area of this circle is 28.26 square feet.

6 0
1 year ago
Trains on the Glasgow Subway depart every 4 minutes, and a complete circuit takes 24 minutes. Ewan sets off at 8.30 am on a trai
Stolb23 [73]
Trains depart after every 4 minutes.
Total time train takes to complete a circuit= 24 minutes
Evan sets off at 8:30 am, so  he will be back at 8:54 am.
So time of trains coming in opposite direction:
8: 34 am
8:38 am
8:42 am
8:46 am
and 8:50 am
5 trains coming in opposite directions.
Now the trains started at 8:06 am from the stations are:
8:06 am
8:10 am
8:14 am
8:18 am
8:22 am
and 8:26 am.
So there are 6 trains started the circuit at 8:06 am.

Now total number of trains=6+5=11 trains

Answer: 11 trains will pass on complete circuit.

7 0
3 years ago
How to solve the rational equation?<br><br> 1/3 + 1/2 = 1/x
tatyana61 [14]

Answer:

 x = ⁶/₅  

Step-by-step explanation:

\begin{array}{rcll}\dfrac{1}{3} + \dfrac{1}{2} & = &\dfrac{1}{x} & \\\\2x + 3x & = & 6 & \text{Multiplied all terms by LCM of denominators (6x)}\\5x & = & 6 & \text{Simplified left-hand side}\\x & = & \mathbf{\dfrac{6}{5}} & \text{Divided each side by 5}\\\end{array}

8 0
3 years ago
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