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3 years ago

If f(x) = 5x + 40, what is f(x) when x= -5?

Mathematics

1 answer:

Marianna [84]3 years ago

8 0

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

$5x+40\\5(-5)+40\\-25+40\\15$

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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

The maritime museum has 100 ship models. Visitors can see 90% of the ships in a special exhibit. How many ships can visitors see

DochEvi [55]

90% of 100 = 0.9 x 100 = 90

------------------------------------------------
Answer: The visitor can see 90 ships.
------------------------------------------------

4 0

3 years ago

The length of a rectangle is 13 centimeters less than three times its width. Its area is 56 square centimeters. Find the dimensi

tatuchka [14]

Answer:

Area = length x width

Area = (3width - 13) x width

Area = 3 width^2 -13width

56 = 3width^2 -13 width

Width = 7

Length = (3 *7) -13 = 8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What angle measure A would meet the requirements so that sin A = 0.625

Molodets [167]

Answer:

d is it

Step-by-step explanation:

8 0

3 years ago

A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area o

enyata [817]

45 square feet is the area of the base of the pedestal.

what is rectangular prism?

A rectangular prism is a 3D figure with 6 rectangular faces.
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

we know that

The volume of the pedestal (rectangular prism) is given by the formula

V = B × h

where

B is the area of the rectangular base of pedestal

V = 405 ft³

h = 9 ft

put the given values in the formula and solve for B

405 = B × 9

B = 405/9

B = 45 ft²

Therefore, 45 square feet is the area of the base of the pedestal.

Learn more about rectangular prism

brainly.com/question/21308574

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3 0

1 year ago