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ANEK [815]
4 years ago
11

without graphing decide whether the system of linear equations below has one solution, no solution, or infinitely many solutions

. y=3x-8. 4y=12x-5

Mathematics
1 answer:
Serjik [45]4 years ago
3 0

Answer:

  B.  no solution

Step-by-step explanation:

Multiplying the first equation by 4 gives ...

  4y = 12x -32

This is <em>inconsistent</em> with the second equation, ...

  4y = 12x -5

There can be no common point on these parallel lines, hence no solution.

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The options are &lt;,&gt;,=
mixer [17]

Answer:

<

Step-by-step explanation:

3 0
4 years ago
There are 345 calories in 6 ounces of a type of ice cream. How many calories are in 8 ounces of that ice cream?
jeka94
345=6
6/345=57.5
57.5*2=115.0
115+345=460
There are 460 calories in 8 ounces of ice cream.
3 0
3 years ago
Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.
Alona [7]

Answer:

x=\frac{90}{13} .

Step-by-step explanation:

\frac{x}{2} +\frac{x}{3} =\frac{2x}{5} +3;

30*(\frac{x}{2} +\frac{x}{3} )=30*(\frac{2x}{5} +3);

15x+10x=12x+90; ⇔ 13x=90;

x=\frac{90}{13}.

8 0
2 years ago
Bobs hardware sells buckets in 5 different sizes. The tiny bucket holds 5 quarts, the small holds 10 quarts, the medium holds 20
Sphinxa [80]

Bob's hardware sells buckets in five different sizes.

The tiny bucket holds 3 quarts,

The small bucket holds 6 quarts,

The medium bucket holds 12 quarts,

The large bucket holds 24 quarts and

There is a relation between the size of the bucket and its volume.

We could see with increase in size the units of quarts double

Therefore the extra large bucket will hold 24*2 = 48 quarts

6 0
4 years ago
The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?
Nostrana [21]

Answer:

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

\:a\:\times \:b\:\times \:\pi

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

  • The value of a = major axis/2 = 25/2 = 12.5 inches
  • The value of b = minor axis/2 = 4/2 = 2 inches

Thus

The area of the ellipse:

                                     Area = \:a\:\times \:b\:\times \:\pi

                                              =\:12.5\:\times\:2\:\times\:\pi

                                              =25\pi

                                               =78.5 inches     ∵ \pi =3.14

Therefore, the area of the ellipse is:

                                               Area = 78.5 inches

5 0
3 years ago
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