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2 years ago

Answer if correct only but please help!!

Mathematics

1 answer:

djyliett [7]2 years ago

3 0

According to above statement the required Inequality will be :

$31 + 5.6t < 75.8$

$5.6t < 75.8 - 31$

$5.6t < 44.8$

$t < \dfrac{44.8}{5.6}$

$t < 8$

hence, the value of t should be less than 8 hours.

so, they can rent the meeting room for 7 hours.

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PLEASE HELP ME I WILL GIVE BRAINLIST

liq [111]

1)
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4 0

3 years ago

HALLP QUICKKKK

Rina8888 [55]

To solve this we are going to use the formula for speed: $S= \frac{d}{t}$
where
$S$ is the speed
$d$ is the distance
$t$ is the time

Let $S_{l}$ be the speed of the boat in the lake, $S_{a}$ the speed of the boat in the river, $t_{l}$ the time of the boat in the lake, and $t_{a}$ the time of the boat in the river.

We know for our problem that the current of the river is 2 km/hour, so the speed of the boat in the river will be the speed of the boat in the lake minus 2km/hour:
 $S_{a}=S_{l}-2$
We also know that in the lake the boat sailed for 1 hour longer than it sailed in the river, so:
 $t_{l}=t_{a}+1$

Now, we can set up our equations.
Speed of the boat traveling in the river:
 $S_{a}= \frac{6}{t_{a} }$
But we know that $S_{a}=S_{l}-2$ , so:
$S_{l}-2= \frac{6}{t_{a} }$ equation (1)

Speed of the boat traveling in the lake:
$S_{l}= \frac{15}{t_{l} }$
But we know that $t_{l}=t_{a}+1$ , so:
$S_{l}= \frac{15}{t_{a}+1}$ equation (2)

Solving for $t_{a}$ in equation (1):
$S_{l}-2= \frac{6}{t_{a} }$
$t_{a}= \frac{6}{S_{l}-2}$ equation (3)

Solving for $t_{a}$ in equation (2):
$S_{l}= \frac{15}{t_{a}+1}$
$t_{a}+1= \frac{15}{S_{l}}$
$t_{a}=\frac{15}{S_{l}}-1$
$t_{a}= \frac{15-S_{l}}{S_{l}}$ equation (4)

Replacing equation (4) in equation (3):
$t_{a}= \frac{6}{S_{l}-2}$
$\frac{15-S_{l}}{S_{l}}=\frac{6}{S_{l}-2}$

Solving for $S_{l}$ :
$\frac{15-S_{l}}{S_{l}}=\frac{6}{S_{l}-2}$
$(15-S_{l})(S_{l}-2)=6S_{l}$
$15S_{l}-30-S_{l}^2+2S_{l}=6S_{l}$
$S_{l}^2-11S_{l}+30=0$
$(S_{l}-6)(S_{l}-5)=0$
$S_{l}=6$ or $S_{l}=5$

We can conclude that the speed of the boat traveling in the lake was either 6 km/hour or 5 km/hour.

3 0

4 years ago

-24 divided by x + 12 to the second when x= -14

ELEN [110]

Answer:12

Step-by-step explanation:

3 0

3 years ago

Help how do I do this

Anna71 [15]

This is a form of the Pythagorean Theorem. We just need to know how far we went in the x direction and how far in the y direction then use
a^2 + b^2 = c^2 to find the value.

distance in the x direction (-4 to -4) that's easy it didn't move. so that is zero and thus would make the distance all in the y direction.

To move from 8 to -8 we take (8 - (-8)) = 8 + 8 = 16 which is your answer

7 0

3 years ago

Are the following shapes similar?

Diano4ka-milaya [45]

No because they're two separate shapes of different porportions. one is 5 cm x 9 cm and the other is 3 x 7 they're not similar. It's hard to explain but a shape that was 10 cm x 30 cm would be similar to the same shape that was 1 cm x 3 cm's.

5 0

3 years ago