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3 years ago

(-3/4) divided by 2/9 = Please show steps.

Mathematics

1 answer:

brilliants [131]3 years ago

8 0

Answer:

-27/8

Step-by-step explanation:

Dividing fractions is the same as multipling the first fraction by the reciprocal of the second fraction (the numerator and denomiator are flipped).

= -3/4 x 9/2

= -27/8

You can simplify this if you want so it's not a mixed fraction

= -3 3/8

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Find the volume of the rectangular prism. The volume is cm? 8 cm 5 cm 9 cm

dedylja [7]

Answer:

360 cm

Step-by-step explanation:

volume= length x width x height

8*5*9=360 cm

6 0

3 years ago

Read 2 more answers

A boat in still water is 32 mph. If the boat travels 72 miles upstream in the same time that it takes to travel 120 miles downst

dalvyx [7]

Dup= 72 miles
ddown= 120 miles 
v= riverspeed 
rup= 32mph - v 
rdown= 32mph + v 
t both ways= t 

d=r*t 
d/r=t 

t=ddown/rdown 
t=dup/rup 

dup/rup = ddown/rdown 

(72)/(32-v)=(120)/(32+v) 
3840-120v=2304+72v 
1536=192v 
v=8

8 0

3 years ago

Make a tree diagram and find each probability.

Dafna11 [192]

Answer: a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

Step-by-step explanation:

Since we have given that

Probability of heavy fog is given by

$P(F)=0.70$

Probability of a light drizzle is given by

$P(D)=0.30$

Probability of getting canceled a softball game due to light drizzle is given by

$P(C\mid D)=0.80$

Probability of getting canceled a softball game due to heavy fog is given by

$P(C\mid F)=0.30$

a. Find the probability that the game will be canceled.

Probability of getting the game be cancelled is given by

$P(C)=P(F)\times P(C\mid F)+P(D)\times P(C\mid D)\\\\P(C)=0.70\times 0.30+0.30\times 0.80\\\\P(C)=0.45\\\\P(C)=45\%$

b. Find the probability there will be a light drizzle and the game will not be canceled.

Probability that there will be a light drizzle and the game will not be canceled is given by

$P(C'\mid D)=1-P(C\mid D)\\\\P(C'\mid D)=1-0.80\\\\P(C'\mid D)=0.20\\\\P(C'\mid D)=20\%$

Hence, a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

8 0

3 years ago

Joelle is laying pipe for a sprinkler system before he plants his lawn. the lawn is a rectangle, 15 feet long and 8 feet wide. h

SashulF [63]

$\sqrt{15^2+8^2}$
$\sqrt{225+64}$
$\sqrt{289}$
$17 feet$

Also: 8-15-17 is a Pythagorean triple, so you can just use that.

6 0

3 years ago

Dilbert’s Incorporated produced 6,000,000 units of software in 2005. At the start of 2006 the pointy-haired boss raised employme

ankoles [38]

Answer:

Productivity fell by about 16.7%.

Step-by-step explanation:

Consider the provided information.

Dilbert’s Incorporated produced 6,000,000 units of software in 2005.

In 2006 production was 7,000,000 units.

In 2005 they was making 6,000,000 units in 10,000 hours.

Per hour output = $\frac{6,000,000}{10000} =600$

In 2005 per hour output was 600.

In 2006 they are making 7,000,000 units in 14,000 hours

Per hour output = $\frac{7,000,000}{14000} =500$

In 2005 per hour output is 500.

That means the per hour output decreases. Or we can say that the productivity falls.

The difference between the production:

7,000,000-6,000,000=1,000,000

Therefore, they increase 1,000,000 units.

Decrease in productivity = $\frac{1000000}{6000000}\times 100=\frac{100}{6} \approx16.7$

Hence, productivity fell by about 16.7%.

6 0

4 years ago