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2 years ago

Five numbers have an average of 6.

Mathematics

1 answer:

Lina20 [59]2 years ago

7 0

Answer:

1+3+0+7+x/6=6....

11+x=36...

X=36-11=25

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pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b

goldenfox [79]

Answer:

15 mph

Step-by-step explanation:

Given: Boat took 2 hours to reach Town A going upstream.

Speed of stream= 3 mph

Time taken to reach back home= 1 hours 20 minutes

Lets assume distance covered one side be "d" and speed of boat in still water be "s".

∴ Speed of boat in upstream= $(s-3) \ mph$

Speed of boat in downstream= $(s+3)\ mph$

Also converting into fraction of time taken to reach back home.

Remember; 1 hour= 60 minutes

∴ Time taken to reach back home= $60+20= 80\ minutes$

Converting time given into fraction= $\frac{80\ minutes}{60\ minutes} = \frac{4}{3} \ hours$

hence, Time taken to reach back home is $\frac{4}{3} \ hours$

Now forming equation of boat travelling upstream and downstream, considering distance remain constant.

We know, $Distance= speed \times time$

⇒ $(s-3)\times 2= (s+3)\times \frac{4}{3}$

Using distributive property of multiplication

⇒ $2s-6= \frac{4}{3}s +4$

subtracting both side by $\frac{4}{3} s$

⇒ $2s-\frac{4}{3} s-6= 4$

Adding both side by 6

⇒ $2s-\frac{4}{3} s= 10$

taking LCD as 3

⇒ $\frac{2}{3} s= 10$

Multiplying both side by $\frac{3}{2}$

⇒ $s= \frac{3}{2} \times 10$

∴s= 15 mph

Hence, 15 mph is the speed of the boat in still water.

8 0

3 years ago

A rectangle has vertices at (0, 0), (3, 0), and (0,6). What is the area of the rectangle?

Alexxandr [17]

First, set the coordinate points on a graph, and joint them to form a graph

By looking at the graph we can see that:

width : 3

length: 6

Area of a rectangle : Length x width : 6 x 3 = 18

7 0

1 year ago

2.85 as a mixed number

Phoenix [80]

$2.85=2+0.85=2+ \frac{85}{100} =2+ \frac{5*17}{5*20} =2+ \frac{17}{20} =2\frac{17}{20}$

I hope you got the idea

3 0

3 years ago

PLZ HELP FAST FIRST PERSON TO ANSWER OR WHOEVER GETS RIGHT GETS BRAINLYEST

Studentka2010 [4]

D 110, gimme that young brainlyest

6 0

3 years ago

Read 2 more answers

When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither nu

o-na [289]

The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:

x + y = 3 and 2x + 2y = 6
Determinant of the equations are 
| 1 1 | 
| 2 2 | = 0

the numerator determinants would be
| 3 1 | . .| 1 3 | 
| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. For instance (3, 0), (2, 1) and (4, -1). Therefore, it would have infinitely many solutions.

3 0

3 years ago