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1 year ago

The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?

Mathematics

2 answers:

timama [110]1 year ago

5 0

Answer:

3 1/4 feet

Step-by-step explanation:

1/4 of 9 3/4

change 9 3/4 into an improper fraction → 39/3

1/4 x 39/3 = 39/12

convert back to a mixed number by dividing 12 into 39

which goes in three times with a remainder of 3 → 3 3/12

however, 3/12 can be simplified to equal 1/4

7nadin3 [17]1 year ago

3 0

Answer:

2 $\frac{5}{16}$

Step-by-step explanation:

2 $\frac{5}{16}$ × 4 = 9 3/4

9 3/4 × 1/4 = 2 5/16

I hope this helps!

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400 is ten times as much as

Mrrafil [7]

40
Try dividing 400 by ten you'll get 40 (or just remove a zero or decimal point to the left when dividing by 10)

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2 years ago

Please helpppp I’m not sure how to solve

Nesterboy [21]

Answer:

If a is 1.. we substitute one in every a in g(a)

4 * 1 + 16

4+ 16 = 20

g(a)= 20

f(20)

-16 + 20 = 4

and 4/4 = 1

so f (g (a)) = a

Step-by-step explanation:

6 0

2 years ago

Need help on this question

ELEN [110]

Heyyy hope this helps:))

4 0

2 years ago

22. Use your model to determine when the volume of oil will get down to 500 gallons.

Helen [10]

Answer:

21. y = 75000·0.935^t

22. after 74.6 days

23. y = 27.8112·1.18832^t

24. 18.8% per month

25. 1748

Step-by-step explanation:

22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)

23. y = 27.8112·1.18832^t (see the second attachment)

24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.

(1.18832 -1) × 100% ≈ 18.8% . . . . per month

25. Evaluating the function for t=24 gives y ≈ 1748.30425259 ≈ 1748.

_____

<em>Comment on graphing calculator</em>

A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.

8 0

2 years ago

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The f

Romashka-Z-Leto [24]

The following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

To answer the question, we need to know what volume is.

<h3>What is volume?</h3>

This is the capacity of a material or container.

Since the silo is made of a cylindrical and a conical part, we need to find the volume of both parts.

<h3>Volume of cylindrical part.</h3>

So, the volume of the cylindrical part V = πr²h where

r = radius of cylidrical part = 4 ft/2 = 2 ft and
h = length of cylindrical part = 8 ft.

So, V = πr²h

V = π(2 ft)²8 ft

<h3>Volume of the conical part</h3>

The volume of the conical part is given by V' = 1/3πr²h where

r = radius of cone = 2ft and
h = height of cone.

Since the entire length of silo is 9.5 ft and length of cylindrical part is 8 ft, then the height of cone is h' = 9.5 ft - 8 ft

So, V' = 1/3πr²h'

V' = 1/3π(2 ft)²(9.5 ft - 8ft)

<h3>Total volume of grains in silo</h3>

The total volume of grains equals the total volume of the silo V" = V + V'

V" = π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

So, the following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

Learn more about volume here:

brainly.com/question/25248189

#SPJ1

7 0

1 year ago