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2 years ago

14

3. f(-4) - 3.9(-2) =

1 answer:

snow_lady [41]2 years ago

5 0

Answer:

Step-by-step explanation:

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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 ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. Which pair of equivalent ratios could be used

AlexFokin [52]

Answer:

<u> 105</u> students could prefer kiwi if there are 357 total students.

Step-by-step explanation:

Given:

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.

Now, to find number of students prefer kiwi if there are 357 total students.

Let the students prefer pineapple be $12x.$

And the students prefer kiwi be $5x.$

Total students = 357.

So, we set an equation to get the number of students who prefer kiwi.

According to question:

$12x+5x=357$

$17x=357$

<em>Dividing both sides by 17 we get:</em>

$x=21.$

<em>Thus, students prefer kiwi are:</em>

$5x$

$=5\times 21=105.$

Therefore, 105 students could prefer kiwi if there are 357 total students.

3 0

2 years ago

If you graph the system of inequalities given below, which points would lie in the solution set? Select all the correct answers.

vivado [14]

Its just a matter of subbing...but keep in mind, for it to be a solution, it has to satisfy all 3 inequalities

x - y > = -4
2x - y < = 5
2y + x > 1

solutions are : (-1,3) and (3,5)

5 0

2 years ago

Read 2 more answers

Which measure of center best represents each set of data?

brilliants [131]

Median= 3
Range= 5
Mode= 3
Mean= 4

8 0

3 years ago

Thomas is opening a savings account. Which integer represents his possible balance after making a deposit?

Ray Of Light [21]

10 is the answer …………..

8 0

2 years ago

Read 2 more answers