Your mother bought a three-liter bottle of water. When she got home, she discovered a small leak in the bottom and asked you to find a container to transfer the water into. All you could find were two half-gallon jugs. Will your containers hold all of the water

Answers

Answer 1
Answer:

Answer:

The two half-gallon jugs will hold all of the water.

Step-by-step explanation:

The gallon and the liter are two units of volume. Let's write the equivalent expression between them :

1gal=3.78541L

To solve this problem, we need to find out which volume is greater : The volume of the three-liter bottle or the volume of the two half-gallon jugs.

The volume of two half-gallon jugs is equal to :

Volume=(2).((1)/(2))gal=1gal

Two half-gallon jugs can storage 1 gallon in total.

1 gal is equal to 3.78541 L (We write this at the beginning of the answer). Now, given that the volume of water stored by the three-liter bottle is 3 L or less (because of the small leak) :

3.78541L>3L

Therefore, the volume of the two containers is greater than the maximum volume of water stored in the three-liter bottle ⇒ The containers will hold all of the water.

Answer 2
Answer: No it will not because if you put the two half gallons together, one gallon is equal to 3.785411784 liters

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Answer has to be in units

A dartboard has a diameter of 18 inches.What are its radius and circumference?

Answers

Diameter of the dartboard as given in the question = 18 inches
Then
Radius of the dartboard will be = 18/2 inches
                                                  = 9 inches
We already know that
Circumference of a circle = r
We also know that the value of π = 3.14159
Then
Circumference of the dartboard = 2 * 3.14159 * 9 inches
                                                    = 56.548 inches
                                                    = 56.55 inches
So the radius of the dartboard is 9 inches and the circumference of the dartboard is 56.55 inches. I hope the procedure is absolutely clear to you.

Sam ran at 6km/h for 2h 20 mins. What distance did he run?

Answers

The distance that Sam ran is 14 km
The trick Is to break it up 2 hours and 20 minutes and convert the 20 minute into hours, so if he runs at 6km/h then in 2 hours he ran 12 kms and 20 minutes in hours = 1/3 of hour therefore 6 multiplied by 1/3 is 2 km therefore th total he ran was 14 kms

10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?

Answers

Answer:

42 cups of flour

Step-by-step explanation:

12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.

All we need to do for this is do 10.5 × 4 = x and solve for x.

10.5 × 4 = 42 cups of flour

Determine the sign of the product -2/9×1/7 enter + for positive or - or negative

Answers

Answer:

the sign of the product would be a negative or "-"

Step-by-step explanation:

Final answer:

The sign of the product of -2/9 × 1/7 is negative because one of the numbers being multiplied is negative and the other is positive.

Explanation:

In mathematics, the sign of a product is determined by the sign of the numbers that are being multiplied. When multiplying two numbers, if both numbers are positive or both numbers are negative, the product will be a positive number. If one number is positive and one is negative, the product will be a negative number.

In our case, we are multiplying -2/9 and 1/7. The number -2/9 is negative and the number 1/7 is positive. Since one number is positive and the other one is negative, the sign of the product -2/9×1/7 will be negative. Thus, we enter '-' for negative.

Learn more about Sign of Product here:

brainly.com/question/15131279

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Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 55.0°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = (adjacent)/(hypotenuse) = (OP)/(OQ)  = (5.1)/(8.9) , then

x = cos^(-1) ( (5.1)/(5.9) ) ≈ 55.0° ( to the nearest tenth )

8. If f(x) = 5x - 8, what is the value of f(3)?

Answers

Answer: f(3) = 7

Step-by-step explanation:

f(3) = 5(3) - 8

15 - 8

f(3) = 7

Hey there!☺

Answer:\boxed{f(3)=7}

Explanation:

What is the value of f(3) when f(x) = 5x - 8?

If you want to find to find the value of f(3), you will have to substitute the value in the function. And at last, you will evaluate. After you evaluate, you will get the answer.

f(3)=7

Hope this helps!