Wanda is shopping for a pet carrier. One small carrier can hold 240 ounces. Her cat weighs 12 pounds. Can the carrier hold her cat?

Answers

Answer 1
Answer:

Answer:

The carrier can hold the cat.  

Step-by-step explanation:

The rate of conversion between ounces and pounds is

1 ounce (oz) is equal to 0.0625 pounds (lb)

So,  The carrier can hold 240 x 0.0625 =15 pounds

The cat weighs 12 pounds, that is less than the maximun (15 pounds).  

Answer 2
Answer: Yes, 12 x 16 gives us the amount of ounces the cat weighs which is 192 ounces. Therefore, her cat CAN fit. 192 oz < 240 oz

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Answers

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Janet is 5 years older than her sister.the sum of their ages is 51.how old is her sister

Answers

Let us assume that the age of Janet's sister is = x
Then the age of Janet = x + 5
Now we also know that their combined age is equal to 51 years. Then we can write the equation as
x + (x + 5) = 51
2x + 5 = 51
2x = 51 -5
2x = 46
x = 46/2
   = 23
So the age of Janet = x + 5
                                = 23 + 5
                                 = 28 years
So the age of Janet's sister is 23 and Janet's age is 28
To find how old old her sister is you just do 51 -5 which will give you 46.

There are 50 questions to answer in a trivia contest. Each player starts with 100 points. He or she earns 10 points for each correct answer but loses 4 points with each incorrect answer. Each player must answer all 50 questions. What is the fewest number of questions a contestant must answer to get a score over 350?I just need to know how to set it up?

Answers

Answer:

Step-by-step explanation:

the fewest number you would have to answer to get 350 would be 25.

to get the fewest number you would not be able to miss any before reaching 350 points. since you are aiming for a minimum of 350 points and you start out with 100 you would divide 250 by 10 to get 25

25 questions , because they start with 100. 350-100=250 .. 250/10=25

6-(-12)=

1/2 ÷ 3/4=

Plz answer quickly!

Answers

6-(-12)=18

1/2 ÷ 3/4=2/3

The speed of a stream is 4 mph. A boat travels 8 miles upstream in the same time it takes to travel 16 miles downstream. what is the speed of the boat in still water

Answers

Answer

Find out the speed of the boat in still water .

To proof

Let us assume that the speed of the boat in still water be u .

As given

The speed of a stream is 4 mph

hence

speed upstream = u - 4

speed downstream = u + 4

Formula

Time = (Distance)/(speed)

As given

A boat travels 8 miles upstream in the same time it takes to travel 16 miles downstream.

First case for the upstream

Time = (8)/(u - 4)

Second case for the downstream

Time = (16)/(4 + u)

now compare the equations

(8)/(u - 4) = (16)/(u + 4)

simplify the equation

8( u +4 ) = 16 (u -4)

8u +32 = 16u - 64

8u = 96

u = (96)/(8)

u = 12 mph is the speed of the boat in still water .

Hence proved





   

   

The speed of the stream = 4 mph.

Let us assume speed of the boat in still water = x mph.

Total speed upstream = (x-4) mph.

Total speed downstream = (x+4) mph.

We know,  time, speed and distance relation.

Time = Distance / Speed.

Total time taken upstream = 8 / (x-4)

Total time taken downstream = 16/(x+4).

Time taken upstream = time taken downstream.

Therefore,

8 / (x-4)  =  16/(x+4).

On cross multiplication, we get

16(x-4) = 8(x+4).

16x - 64 = 8x +32.

Adding 64 on both sides, we get

16x - 64+64 = 8x +32+64

16x = 8x + 96.

Subtracting 8x from both sides, we get

16x-8x = 8x-8x + 96.

8x = 96.

Dividing both sides by 8, we get

x = 12.

Therefore, 12 mph is the speed of the boat in still water.

A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the length and the width of the bar

Answers

Answer:

The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet

Step-by-step explanation:

A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:

area = width*length

In this case the length is 0.7 feet longer than twice the width, therefore:

length = 2*width + 0.7

Applying the second equation on the first one and using the data from the question we have:

47.1 = width*(2*width + 0.7)

47.1 = 2*width² + 0.7*width

2*width² + 0.7*width = 47.1

width² + 0.35*width = 23.55

width = (-0.35 \pm √(0.35^2 -4*1*(-23.55)))/(2*1) = -0.175 \pm 4,85599

width = 4.68099 or width = -5.03099

Since the width can't be negative, it can only be 4.68099 feet.

length = 2*4.68099 + 0.7 = 10.06198 feet.