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3 years ago

The debate team is showing a video of their recend debate.

Mathematics

1 answer:

Digiron [165]3 years ago

7 0

Please show the full question. I would love to help

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Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra

ad-work [718]

Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

Greg swam 16 kilometers with the current.

Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= $(x-3)\ kmph$

Speed of swimming with current= $(x+3)\ kmph$

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, $Time= \frac{Distance}{Speed}$

⇒ $\frac{4}{(x-3)} = \frac{16}{(x+3)}$

Multiplying both side by (x+3) and (x-3)

⇒ $4\times (x+3)= 16\times (x-3)$

Using distributive property of multiplication.

⇒ $4x+12= 16x-48$

Subtracting both side by 4x and adding by 48.

⇒ $60= 12x$

Dividing both side by 12

⇒ $x= \frac{60}{12} = 5\ kmph$

Hence, Greg can swim at the rate of 5kmph with no current.

7 0

3 years ago

A college student takes the same number of credits each semester. She had 15 credits when she started, and after 4 semesters, sh

allochka39001 [22]

Answer:

f(x)= 4(x)+15=71

X=14

Step-by-step explanation:

to find "x" you could do this

71-15=56 then 56/4=14 , x=14

7 0

3 years ago

Last week, Sarah bought a designer shirt at the sale price of $24. The original cost of the shirt was $40. What percent represen

11Alexandr11 [23.1K]

Answer:

40%

Step-by-step explanation:

Amount of money discounted

= $40 - $24

= $16

Percentage of discounted money

= 16/40 x 100%

= 40%

7 0

2 years ago

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

siniylev [52]

Answer:

Step-by-step explanation:

Anwer A has the following equation:

$g(x)=\frac{3}{5}x^2-3$

In this equation, we can calculated the intercept replacing x by 0, as:

$g(x)=\frac{3}{5}0^2-3=-3$

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

$0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236$

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, $g(x)=\frac{3}{5}x^2-3$

7 0

3 years ago

How do I solve this?

jok3333 [9.3K]

Answer:

h(x-11)=-5

Step-by-step explanation:

just put the equetion from the top

h(x-11)=-5

8 0

2 years ago