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1 year ago

56. Mikayla is filling a glass sphere with water.

Mathematics

1 answer:

kirill [66]1 year ago

8 0

Answer:

The minimum amount of water to fill the sphere is $904.32\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere (glass sphere) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=12/2=6\ in$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(6)^{3}$

$V=904.32\ in^{3}$

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A lifeguard at a swimming pool gives one-hour swim lessons to children in the morning before the pool is open to the public. She

NemiM [27]

Answer:

brainliest ps :)

Step-by-step explanation:

her wage is $4.00 + s*0.5 so 7.25-4> s*.5== 3.25 > s*.5 == 6.5 > s

3 0

1 year ago

Fiona started with 15/ 18 of a piece of pie. then she added another piece which was 13/6. how much did she have in total

PolarNik [594]

First piece of pie = 15/18

Second piece of pie = 13/6.

We need to find the total value.

In order to find the total value, we need to add both fractions.

Total value = First piece of pie + Second piece of pie.

=15/18 + 13/6.

In order to add those fractions, we need to find the common denominators.

We have denominators 18 and 6.

Common denominator of 18 and 6 is 18.

So, we need to multiply second fraction 13/6 by 3 in top and bottom to make the denominator of second fraction equals 18.

Therefore, 15/18 + 13/6 = 15/18 + 13*3/6*3

=15/18 +39/18.

=(15+39)/18.

=54/18.

Therefore, Fiona had 54/18 in total.

7 0

1 year ago

Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce doe

Evgen [1.6K]

We have been given that Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.

1. We can find amount of soy sauce Bonnie mixes with every 1 milliliter of vinegar by dividing total amount of soy sauce by total amount of vinegar.

$\text{Amount of soy sauce per ml vinegar}=\frac{150}{100}$

$\text{Amount of soy sauce per ml vinegar}=\frac{15}{10}=\frac{3}{2}$

$\text{Amount of soy sauce per ml vinegar}=1.50$

Therefore, Bonnie mixes 1.50 ml of soy sauce with every 1 ml of vinegar.

2. We can find amount of vinegar Bonnie mixes with every 1 ml of soy sauce by dividing total amount of vinegar by total amount of soy sauce.

$\text{Amount of vinegar per ml soy sauce}=\frac{100}{150}$

$\text{Amount of vinegar per ml soy sauce}=\frac{10}{15}=\frac{2}{3}$

$\text{Amount of vinegar per ml soy sauce}=0.6666666666666667\approx0.67$

Therefore, Bonnie mixes 0.67 ml of vinegar with every 1 ml of soy sauce.

7 0

2 years ago

Read 3 more answers

APEX HELP ASAP!!!!

oee [108]

<span>1. The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.

2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.

3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.

4. If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.

5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.

6. We can assume that the distance travelled going to the island is the same distance travelled coming back. Therefore, we can equate the formula for distance from part 3 for the steamboat, to the distance from part 5 for the tall ship.
5x = 10x - 100

7. Solving for x: 5x = 10x - 100
-5x = -100
x = 20
Since x is the speed of the steamboat, x = 20 means that the steamboat's speed is 20 knots.

8. We determined in part 4 that the speed of the second boat (in our case, the tall ship) is (x - 10) knots. Since we have calculated in part 7 that the steamboat travels at x = 20 knots, then the speed of the tall ship is (x - 10) = 20 - 10 = 10 knots.</span>

7 0

2 years ago

erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b

bagirrra123 [75]

Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P = (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made = x

Let the number of bracelets made by Erica = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x times 3 hours = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y times 2 hours = 2y

So, total time taken to make x necklace and y bracelets = 3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets = 18 x + 15 y

So according to the question:

x + y = 25 ..... (1)

3x + 2y = 60 .... (2)

Solving the above system substitute y = 25- x in (1)

we get: 3x + 2y = 60 ⇒ 3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x = 25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P = (18 x + 15 y)

8 0

2 years ago

Read 2 more answers