Which is greater 9000cm or 2 km?

In a gym class, 1/8 of students play basketball and 5/12 play volleyball. The remaining students play soccer. What fraction of s

kvasek [131]

11/24 is your answer

6 0

1 year ago

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A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar

Elan Coil [88]

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

$\frac{part}{whole} = \frac{percent}{100}$

77 lb is part of the whole weight ( which we don't know) so 77 will go on top

The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)

$\frac{77}{x} = \frac{15.4}{100}$

Then you cross multiply giving you: 7700 = 15.4x

then you divide 15.4 to both sides to isolate x which will give you 500

4 0

2 years ago

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Advocard [28]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A: During what interval(s) of the domain is the water balloon's height increasing?

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet

Part B: During what interval(s) of the domain is the water balloon's height staying the same?

Between 2 and 4 seconds, the height remains the same at 75 feet. Also from 10 seconds the height of the balloon is at 0 feet

Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest?

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet (i.e. -17.5 ft/s)

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet (i.e. -10 ft/s)

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet (i.e. -10 ft/s)

Hence it decreases fastest from 4 to 6 seconds

Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds

From 10 seconds, the balloon is at the ground, so it remains at the ground (0 feet) even at 16 seconds

6 0

2 years ago

A bullet is shot straight upward with an initial speed of 925 ft/s. The height of the bullet after t seconds is modeled by the f

never [62]

Answer:

462 ft/s

Step-by-step explanation:

The height of the bullet is modeled by:

h(t) = -16t² + 925t------------------------------------ (1)

The speed of the bullet is modeled by the first derivative of equation (1)

dh/dt= -32t + 925------------------------------------ (2)

At maximum height, dh/dt = 0

0 = -32t + 925

32t = 925

t = 925/32

= 28.91 seconds

This means that the total time to reach maximum height is 28.91 seconds

Substituting into equation (1) we can calculate the maximum height:

h = -16 (28.91)² +925 (28.91)

= -13,372.61 + 26,742.675

= 13,367.065 ‬ft

Average speed = Total distance/ Total time

= 13,367.065/28.91

= 462.368

≈ 462 ft/s

7 0

2 years ago

A one-way flight from Dallas to Atlanta is "150x − 100" miles. Find a single expression that represents the distance for a round

solong [7]

The one-way flight is represented as 150x-100miles. If we have a round trip distance to be computed, then we need to multiply it twice such as the solution is shown below:
(150x-100)*2
300x-200
Therefore, the answer is letter "C" which is 300x-200.

3 0

2 years ago

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