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Andrej [43]
3 years ago
15

6.4x+2.8y=44.4, when x=3

Mathematics
2 answers:
ANEK [815]3 years ago
7 0
6.4x + 2.8y = 44.4 

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4
-19.2             -19.2 

2.8y = 25.2
------    ------
2.8      2.8

y = 9
k0ka [10]3 years ago
6 0

Answer:

when x=3 the value of y is 9

Step-by-step explanation:

6.4x+2.8y=44.4, when x=3

6.4x+2.8y=44.4

To find y when x=3, plug in 3 for x in the given equation

6.4x+2.8y=44.4

6.4(3)+2.8y=44.4

19.2+2.8y=44.4

Subtract 19.2 on both sides

2.8y=25.2

Divide both sides by 2.8

y=9

So when x=3 the value of y is 9

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x = 3 or x = 1

note that log 5 is usually taken to mean log_{10} 5

using the law of logarithms

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the right hand side can be expressed as

log 10000 - log 16 = log (\frac{10000}{16}) = log 625

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2 years ago
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
1 year ago
James is selecting a marble. James chooses a marble at random and then replaces it. He then selects a second marble at random. W
tresset_1 [31]

Answer:

The probability of selecting a solid black marbles both times;

P = 9/100

Attached is the completed question;

Step-by-step explanation:

Number of solid black marbles = 3

Total number of marbles = 10

The probability of selecting a solid black marble;

P1 = 3/10

With the assumption that the marbles are replaced before next selection.

The probability of selecting a solid black marbles both times;

P = P1 × P1 = 3/10 × 3/10 = 9/100

P = 9/100

7 0
3 years ago
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