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3 years ago

Why does the following system of linear equations have no solution? x + 4y = 20 x + 4y = 16

Mathematics

1 answer:

Shkiper50 [21]3 years ago

7 0

4y+4y=21x+16
8y=21x+16

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Mrrafil [7]

The <em>correct answer</em> is:

{3, 4, 5, 6, 7, 8, 9, 10, 11, 12} .

Explanation:

The sample space for rolling these two spinners is:

(1, 2), (1, 4), (1, 6), (1, 8)

(2, 2), (2, 4), (2, 6), (2, 8)

(3, 2), (3, 4), (3, 6), (3, 8)

(4, 2), (4, 4), (4, 6), (4, 8)

This gives us the sums:

3, 5, 7, 9

4, 6, 8, 10

5, 7, 9, 11

6, 8, 10, 12

As a set, these are:

{3, 4, 5, 6, 7, 8, 9, 10, 11 12}

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3 years ago

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What is 7 1/4 + 15 7/8 in fraction form

Eva8 [605]

23 1/8

(7+15) + (1/4 +7/8)
22 + 2/8 + 7/8
22+ 9/8
23 1/8

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3 years ago

Calculate volume of hemisphere with radius 3.2 cm

Olin [163]

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³

the volume of a hemisphere is half the volume of a sphere, so

V = $\frac{1}{2}$ × $\frac{4}{3}$ πr³ = $\frac{2}{3}$ πr³ , then

V = $\frac{2}{3}$ π × 3.2³

= $\frac{2}{3}$ π × 32.768

≈ 68.63 cm³ ( to 2 dec. places )

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2 years ago

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Gnoma [55]

15.5 x 12.4 = 192.2 so the answer is 192.2 square feet.

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3 years ago

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Novay_Z [31]

Method 2 is the least biased.

1) vegetarians are a select group, so they might have a certain biased perspective
2) if students are chosen randomly from every grade, all grades are included and there will be a variety of responses
3)not all students dislike the program, so it is an unfair representation
4)only students who have a strong opinion will complete the survey

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3 years ago