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Tom [10]
3 years ago
15

Write the equation of the line that passes through the points (3, 1) and (9,-3)

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

y = -2/3 + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 1 / 9 - 3

-4 / 6

-2/3

y = -2/3x + b

1 = -2/3(3) + b

1 = -2 + b

3 = b

y = -2/3 + 3

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What number produces a rational number when added to 0.25?
MrRissso [65]

Answer:

.625 to get .875

Step-by-step explanation:

what is a rational number

8 0
3 years ago
Read 2 more answers
There is no smallest positive rational number because, if there were, then it could be divided by two to get a smaller one. EXPL
Gennadij [26K]

Answer:

Since a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb,  we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

Step-by-step explanation:

Let a/b be the rational number in its simplest form. If we divide a/b by 2, we get another rational number a/2b. a/2b < a/b. If we divide a/2b we have a/2b ÷ 2 = a/4b = a/2²b. So, for a given rational number a/b divided by 2, n times, we have our new number c = a/2ⁿb where n ≥ 1

Since \lim_{n \to \infty} \frac{a}{2^{n}b } = a/(2^∞)b = a/b × 1/∞ = a/b × 0 = 0, the sequence converges.

Now for each successive division by 2, a/2⁽ⁿ ⁺ ¹⁾b <  a/2ⁿb and

a/2⁽ⁿ ⁺ ¹⁾b/a/2ⁿb = 1/2, so the next number is always half the previous number.

So, we cannot find a smallest positive rational number because there would always be a number smaller than that number if it were divided by half.

3 0
3 years ago
A bag contains 6 red tiles, 8 blue tiles, and 6 green tiles. A tile is drawn, the color recorded, and then the tile placed back
tester [92]

Answer:

9 red tiles


Step-by-step explanation:


Total number of tiles: 6+8+6=20

Total number of red tiles: 6


Probability of getting red in one draw:  \frac{6}{20}=0.3

<em>This means that you would expect to get red 0.3  or 30% of the times.</em>

<em>Hence, when you draw tiles 30 times from the bag, you would expect red to be picked 30% of 30 times. This is:</em>

<em>0.3*30=9</em>

So, you would expect to draw a red tile from the bag 9 times.

3 0
3 years ago
It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
earnstyle [38]

It takes 42 minutes for 6 people to paint 7 walls

<em><u>Solution:</u></em>

It takes 54 minutes for 4 people to paint 6 walls

To find: Minutes required for 6 people to paint 7 walls

If M_1 men can do W_1 work in D_1 days working H_1 hours per day and M_2 men can do W_2 work in D_2 days working H_2 hours per day, then

\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}

M = Number of men

D = Number of days

H = Number of hours per day

W = Amount of work

Here in this sum,

<em><u>54 minutes for 4 people to paint 6 walls</u></em>

H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls

<em><u>Minutes required for 6 people to paint 7 walls</u></em>

H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls

<em><u>Substituting the values in formula, we get</u></em>

\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42

Thus it takes 42 minutes for 6 people to paint 7 walls

7 0
4 years ago
Y+7=19y -3 <br><br> ayuda .prometo dar mucho amor
Vladimir79 [104]

Answer:

y = 0.55 or 5 / 9

Step-by-step explanation:

here's the solution :-

=》y + 7 = 19y - 3

=》7 + 3 = 19y - y

=》18y = 10

=》y = 10 ÷ 18

=》y = 5 ÷ 9

=》y = 0.55

6 0
3 years ago
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