Kendra is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles by the case t

Answer:

Step-by-step explanation:

Answer:

Option 2  50 ≤ s ≤ 100

Option 5 She can make a deposit of $50

Option 6 She can make a deposit of $75

Detailed explanation:

Let

s represent the amount of money Layla puts into her savings account.

We know that

25% = 25/100 = 0.25

50% = 50/100 = 0.50

Thus

----->

----->

The compound inequality is

Check each case

case 1) 25 ≤ s ≤ 50

This statement is false

Refer to the procedure

case 2) 50 ≤ s ≤ 100

This statement is true

Refer to the procedure

case 3) s ≤ 25 or s ≥ 50

This statement is false

Because s ≤ 100 and s ≥ 50

case 4) s ≤ 50 or s ≥ 100

This statement is false

Because s ≤ 100 and s ≥ 50

case 5) She can make a deposit of $50

This statement is true

As the value of s meets the compound inequality  

case 6) She can make a deposit of $75

This statement is true

As the value of s meets the compound inequality  

Answer:

a) The distance covered halfway = 16.49 [m], while the displacement at that point = 10.5 [m]b)

The distance traveled increases

when the child finishes one lap around the track.

Step-by-step explanation:

a)

Distance is a scalar measurement

that indicates how much ground an object has traversed in motion. Contrarily, displacement is a vector measurement which describes how far an object is from its original position after moving.

In this scenario, the child travels halfway around the circular track from point 1 to point 2. We know that the circumference or perimeter of a circle can be calculated as 2*PI*radius. Since the child only covers half the distance, we need to divide the circumference by 2, leading to distance = PI*radius

The halfway distance = (PI)*(5.25) = 16.49 [m]

Considering the definition of displacement, it’s clear that the distance from point 1 to point 2 equals one diameter from the starting point:

The halfway displacement = D = 2*radius = 2(5.25) = 10.5 [m]

b) What occurs to the distance after the child completes one full circuit? The distance will increase since the child covers more ground during the full lap:

• The distance for one circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]

32.99 is greater than 16.49, confirming that the distance does indeed increase.

The watch is less expensive in Geneva, Switzerland by £20. Step-by-step explanation: To identify the city where the watch is cheaper, we need to convert the watch's price to the same currency. Since pounds are utilized in part b of the question, using this currency would simplify the calculations. In Geneva, the watch's price is 193.75 CHF from our conversion: £1 = 1.55 CHF, thus, £x = 193.75 CHF. By cross-multiplying, we solve for x: (193.75 * 1) / 1.55 = 193.75/1.55 = £125. This demonstrates that the watch is cheaper in Geneva and more expensive in Manchester. To find out by how much, we simply deduct the Geneva price from the Manchester price: 145 - 125 = £20 cheaper.

Step

Calculate the volume of a cylinder

We understand that

the volume of a cylinder can be expressed as

In this scenario

Insert the values

Step

Calculate the volume of a cone

We are aware that

the volume of a cone equals

In this example

Use the Pythagorean Theorem to determine the height h

Step

Calculate the empty volume inside the cylinder

Thus

the final result is

the empty volume inside the cylinder is