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ryzh [129]
3 years ago
13

1) A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it i

n 6 seconds. How long does it take each animal to eat a sausage alone?
2) A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in 6 seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?

3) A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each.

4) A bear loves visiting his friend, the piglet. The distance between their houses is 300m, and the bear always walks from his house to the piglet's house in exactly the same amount of time. But today, the bear stops at a beehive after walking 1/4 of the distance. He eats honey for 2.5 minutes and then continues to the piglet's house at a speed 15 m/min faster than usual. The total journey to the piglet's house takes the exact same amount of time as it usually does, when the bear does not stop for honey. How long does the journey take?
Mathematics
2 answers:
Feliz [49]3 years ago
6 0

Answer:

1) The puppy takes 10 minutes, the kitty takes 15 minutes.

2) The mama bear takes 9 minutes, the cub takes 18 minutes

3) The sidekick goes at 600 mph, the hero goes at 500 mph.

4) 10 Minutes

5) RSM is so hard, amiright?

Step-by-step explanation:

1) You can simplify the word problem into the equation 1/x + 1/x+5 = 1/6.    For problems like these, you have to simplify the last part to a fraction, not a whole number.   Then you just solve.

2) Same thing.  1/x + 1/x+9 = 1/6.   Solve.  Boom.  Done.

3) A bit different, but it simplifies to 1800/x-100 - 1800/x = .6.   Solve.   C'mon, you should've been able to do this one.

4) Harder, simplifies to 75/x+225/x+15+2.5 = 300/x.   You get the last part because the time the bear took is equal to the time it would normally take, which is the entire distance over the normal pace.   Then you solve and there we go, most of your RSM homework is done.  

Butoxors [25]3 years ago
5 0

Answer:

Puppy takes 10 sec.

Kitty takes 15 sec.

The mama bear can do it in 9 seconds

The cub can do it in 18 seconds

Superhero: 500 km/h

Sidekick: 600 km/h

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Answer: below in picture

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6 0
3 years ago
A triangle can be formed with the lengths 10 cm, 5 cm and 14 cm.​
Grace [21]

Answer: yes.

Step-by-step explanation: i dont really get this one so i just said yes

5 0
3 years ago
Sue has 20 biscuits in a tin.
cluponka [151]

Answer:

25

Step-by-step explanation:

25 because when you add 12 and 5 then subract the numerator you get 25

3 0
3 years ago
In the poportion 1/z =4/5/8 which number is equal to z in the proportion
Nady [450]

Answer:

case 1) z=10

case 2) z=5/32

Step-by-step explanation:

case 1) we know that

Using proportion

\frac{1}{z}=\frac{(4/5)}{8}

solve for z

\frac{1}{z}=\frac{(4/5)}{8}\\ \\z(4/5)=8\\ \\z=8*5/4\\ \\z=10

case 2) we know that

Using proportion

\frac{1}{z}=\frac{4}{5/8}

solve for z

\frac{1}{z}=\frac{4}{5/8}\\ \\4z=5/8\\ \\z=5/32

8 0
3 years ago
You are constructing a concrete landing pad for a helicopter. You have 4704 cubic feet of concrete.
MAVERICK [17]

a) We have to calculate the height of the pad.

We know that the volume will be 4704 cubic feet.

We also know that the base of the pad is a square of side length 56 feet.

As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:

\begin{gathered} V=A_b\cdot h \\ h=\frac{V}{A_b}=\frac{4704\text{ ft}^3}{(56\text{ ft})^2}=\frac{4704}{3136}\text{ ft}=1.5\text{ ft} \end{gathered}

The height is 1.5 feet.

b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².

The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:

\begin{gathered} A=3136 \\ \frac{\pi D^2}{4} \\ D^2=3136*\frac{4}{\pi} \\ D^2=3136*\frac{4}{3.14} \\ D^2=3994.9045 \\ D=\sqrt{3994.9045} \\ D\approx63.21 \end{gathered}

The diameter is approximately 63.21 feet.

Answer:

a) The pad will be 1.5 feet thick

b) The diameter will be 63.21 feet.

3 0
1 year ago
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