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slava [35]
3 years ago
15

the table shows the gallons filled in a pool overtime. complete the table. determine a unit rate for this situation.

Mathematics
2 answers:
Fiesta28 [93]3 years ago
8 0
*assuming the pool is filled at a constant, steady rate*
*we can immediately see that if
\frac{1}{2}  = 500
then in half the time (divide both by 2)
\frac{1}{4}  = 250
and again in half of that time (divide by 2 again)
\frac{1}{8}  = 125
now to find 5/8, we simply multiply 1/8 by 5
\frac{5}{8}  = 625

kherson [118]3 years ago
5 0

Answer:

Number of hours    1/8       1/4     1/2    5/8

Gallons filled          125      250    500   625

Step-by-step explanation:

Consider the provided table.

From the table it is given that, for 1/2 hours gallon filled in pool is 500.

This can be written as:

1/2 hours = 500 gallon

Multiply both the sides by 2.

1 hours = 1000 gallon

For 1/8 hours:

Divide both sides by 8.

1÷8 hours = 1000÷8 gallon

1/8 hours = 1000/8 gallon

1/8 hours = 125 gallon

For 1/4 hours:

Divide both sides by 4.

1÷4 hours = 1000÷4 gallon

1/4 hours = 1000/4 gallon

1/4 hours = 250 gallon

For 5/8 hours:

Multiply both the sides by 5/8

1×5/8 hours = 1000×5/8 gallon

5/8 hours = 125×5 gallon

5/8 hours = 625 gallon

Hence, the required table is:

Number of hours    1/8       1/4     1/2    5/8

Gallons filled          125      250    500   625

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2

Step-by-step explanation:

2 because it is the middle one and to do the median you have to put the numbers in order so for example, smallest to biggest vice versa and then cross the numbers from each side until you find the middle and if there is one then that is the median and if there is two then you add them together and then divide by 2.

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3 years ago
What is the mean of the data set below? <br> 15, 5, 16, 9, 14, 3, 4, 18, 10, 4
motikmotik

Answer:

Mean = Sum of Values ÷ Total number of Values

Step-by-step explanation:

= 15+5+16+9+14+3+4+18+10+4 ÷ 10

= 98 ÷ 10

= 9.8     (Decimal point moves 1 place to the left when divided by 10)

7 0
2 years ago
A regular hexagonal prism has a height of 7 cm and base edge length of 4 cm. Identify its lateral area and surface area.
aleksandr82 [10.1K]

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

<h3>What is lateral and surface area of the regular hexagonal prism?</h3>

For a regular hexagonal prism, the Lateral surface area and the surface area is expressed as follows:

Lateral Area = 6a × h

Surface Area = 6ah + 3√3a²

Where a is base edge and h is height.

Given that;

  • Base edge length a = 4cm
  • Height h = 7cm

The Lateral Area of the regular hexagonal prism will be;

Lateral Area = 6a × h

Lateral Area = 6( 4cm ) × 7cm

Lateral Area = 24cm × 7cm

Lateral Area = 168cm²

The Surface Area of the regular hexagonal prism will be;

Surface Area = 6ah + 3(√3)a²

Surface Area = 6(4cm × 7cm) + 3(√3)(4cm)²

Surface Area = 168cm² + 3(√3)16cm²

Surface Area = 168cm² + 83.138cm²

Surface Area = 251.138cm²

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

Learn more about volume of prisms here: brainly.com/question/9796090

#SPJ1

8 0
1 year ago
What is the value of x? A/ 2 units B/ 3 units C/ 5 units D/ 8 units
shtirl [24]

Answer:

C. x=5 units.

Step-by-step explanation:

In right triangle ABC, the height BD is the geometric mean of the segments AD and DC.

Hence,

BD^2=AD\cdot DC,\\ \\10^2=x\cdot 4x,\\ \\100=4x^2,\\ \\x^2=25,\\ \\x=5\ un.

8 0
3 years ago
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