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4 years ago

12

Sara's high school played 14 football games this year. The team won most of their games. they were defeated during 3 games. how

many games did they win?

1 answer:

Morgarella [4.7K]4 years ago

3 0

They won 11 games is the answer

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swimming downstream you can swim 2 miles in 40 minutes, and upstream you can swim 2 miles in 60 minutes...how long will it take

Akimi4 [234]

Answer:

Vp = 1 / 24 miles/min the speed in still water

Step-by-step explanation:

Lets call Vp speed of swimmer and Vw speed of water then:

Downstream Vp + Vw

Swimmer does 2 miles in 40 minutes then he does

1 mile in 20 minutes

Upstream Vp - Vw

Swimmer does 2 miles in 60 minutes then he does

1 mile in 30 minutes

We get the following system:

(Vp + Vw )* 20 = 1 (1) and

( Vp - Vw )* 30 = 1 (2)

Solving the system

From equation (1)

20*Vp + 20* Vw = 1 ⇒ Vw = ( 1 - 20*Vp ) /20

Plugging that value in the second equation

(Vp - Vw )* 30 = 1 ⇒ [ Vp - ( 1 - 20*Vp )/20 ] * 30 = 1

[20*Vp - 1 + 20*Vp ] * 30/20 = 1 ⇒ [ 40*Vp - 1 ] *30 = 20 or

[ 40*Vp - 1 ] *3 = 2

120* Vp - 3 = 2 ⇒ 120*Vp = 5 and Vw = 1 /120 miles/min

Vp = 5 / 120 miles/min or

Vp = 1 / 24 miles/min

and speed of water Vw = 1 / 120

8 0

3 years ago

I really need Help with this equation Please!!!!

Slav-nsk [51]

Answer:

Option D: - 6; $\textbf{-5}\frac{\textbf{5}}{\textbf{2}}$ ; $\textbf{-4}\frac{\textbf{1}}{\textbf{5}}$ .

Step-by-step explanation:

The sequence is defined by:

$A(n) = -6 + (n - 1)\bigg( \frac{1}{5} \bigg )$

To find the first term of the sequence simply substitute n = 1.

First term of the sequence:

$A(1) = -6 + (1 - 1)\bigg( \frac{1}{5} \bigg )$

$= - 6$

Fourth term of the sequence:

$A(2) = -6 + (4 - 1) \bigg ( \frac{1}{5} \bigg)$

$= - 6 + 3\bigg( \frac{1}{5} \bigg)$

$= \frac{- 30 + 3}{5}$

$= \frac{-27}{5}$

$= \frac{-25 - 2}{5}$

$= - 5 - \frac{2}{5}$

$= -5\frac{2}{5}$ is the required answer.

Tenth term of the sequence:

$A(10) = - 6 + (10 - 1) \bigg( \frac{1}{5} \bigg)$

$= - 6 + 9\bigg( \frac{1}{5} \bigg)$

$= \frac{-30 + 9}{5}$

$= \frac{-21}{5}$

$= \frac{-20 - 1}{5}$

$= - 4 - \frac{1}{5}$

$= -4\frac{1}{5}$ is the required answer.

3 0

4 years ago

Is hot dog a sandwich

Katena32 [7]

Answer:

ofc it is i wish i could get brainleist i wanna get to expert :(

Step-by-step explanation:

3 0

3 years ago

Work out the area of the trapezium ABDE.

kvv77 [185]

Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

6 0

3 years ago

For the function g(x)= x-9/x+7, solve the following inequality. g(x)>_0

jasenka [17]

Answer:

$x< -7 ; x\geq9$

Step-by-step explanation:

You start noticing that for x = 9 g(x) =0, and for x= -7 the function isn't defined.

That splits the number lines in 3 areas: x<-7; -7<x<9, and x>9. (notice the strict inequalities since we already discussed the breaking points.

Let's try a point in each interval, namely, since i like the values, -10, 0, 10.

$g(-10) = \frac{-10-9}{-10+7} =\frac{-19}{-3} >0\\g(0) = \frac{0-9}{0+7}=-\frac{9}{7} 0$

We have all the informations we need. The value we need are $x< -7 ; x\geq9$

3 0

2 years ago