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2 years ago

Evaluate the expression when a= -3 and C = 6 8c - a

Mathematics

2 answers:

Sav [38]2 years ago

8 0

Answer:

Step-by-step explanation:

plug in

8(6)- (-3)

48-(-3)

expeople1 [14]2 years ago

6 0

51 is the answer soo ya

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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

what is the distance between the points (4, 5) and (10, 13) on a coordinte plane a. 12 units b. 8 units c. 10 units d. 14 units

qaws [65]

Answer:

<h2>10 units</h2>

Option C is the correct option

Step-by-step explanation:

Let the points be A and B

A ( 4 , 5 ) ------> ( x1 , y1 )

B ( 10 , 13 ) ------> ( x2 , y2 )

Now, let's find the distance between these points:

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

plug the values

$= \: \sqrt{(10 - 4) ^{2} + {(13 - 5)}^{2} }$

Calculate the difference

$= \sqrt{ {(6)}^{2} + {(8)}^{2} }$

Evaluate the power

$= \sqrt{36 + 64}$

Add the numbers

$= \sqrt{100}$

Write the number in exponential form with. base of 10

$= \sqrt{ {(10)}^{2} }$

Reduce the index of the radical and exponent with 2

$= 10 \: units$

Hope this helps..

Best regards!!

7 0

2 years ago

What is the radius of a Ø6.75" circle? 3.375" or 3.750" or 4.375" or 6.750"

zysi [14]

Answer:4.375

Step-by-step explanation:

4 0

2 years ago

A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8 centimeters.

pogonyaev

Answer:

11 cm

Step-by-step explanation:

Given:

Length of new pencil = 19 cm

Length of pencil after using a month = 8 cm

Question asked:

The pencil is centimeters shorter now than when it was new = ?

Solution:

Length of new pencil = 19 cm

Length of pencil after using a month = 8 cm

The pencil is centimeters shorter now than when it was new = 19 cm - 8 cm

= 11 cm

Length of pencil has been used during a month = 11 cm

8 0

3 years ago

a biker travel 5ft in .05seconds. At that same rate of speed , how far will the biker travel in 1minute?

Solnce55 [7]

Biker's rate is:

v = 5/0.5

v = 10 ft per sec

t = 1 min = 60 sec

d = the distance the biker travels in 1 minute

v = d/t

d = v*t

d = 10*60

d = 600 ft

The biker travels 600 feet in 1 minute

5 0

2 years ago

Evaluate the expression when a= -3 and C = 6 8c - a​

Evaluate the expression when a= -3 and C = 6 8c - a