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melomori [17]
4 years ago
7

Identify the common difference and then find the next three terms of the following sequence.

Mathematics
1 answer:
olganol [36]4 years ago
8 0

\frac{2}{3} = \frac{4}{6} \\ \frac{1}{2} = \frac{3}{6} \\ \frac{1}{3} = \frac{2}{6} \\ the \: common \: difference \: is \: \frac{1}{6} \\ as \: all \: the \: continuing \: terms \\ are \: made \: by \: subtracting \: \frac{1}{6} \: from \\ the \: previous \: term. \\ the \: next \: three \: terms \: are \: \frac{1}{6} \: \: 0 \: and - \frac{1}{6}
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A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function comp
Svet_ta [14]

Answer:

They are the same line written in different forms.

Step-by-step explanation:

Given a linear function with a slope of -\frac{7}{9} and a y-intercept of 3.

The equation of the line in the slope-intercept form is given as:

y=-\frac{7}{9}x+3

Given the other line,

y+11=-\frac{7}{9}(x-18)

Simplified:

y+11=-\frac{7}{9}x+14\\y=-\frac{7}{9}x+14-11\\y=-\frac{7}{9}x+3

The two lines are one and the same line.

4 0
3 years ago
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3 years ago
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The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female students
Alex
<h3>Answer:  60 teachers</h3>

=========================================================

Explanation:

There are 500 female students and the ratio of boys to girls is 2:5

Multiply both parts of that ratio by 100 so that the "5" turns into "500"

The ratio 2:5 turns into 200:500 showing that for every 200 male students there are 500 female students. There are 200+500 = 700 students total.

Because of this 700 figure, we'll need to multiply both parts of the ratio 3:35 by 20 so that the 35 becomes 700.

The ratio 3:35 turns into 60:700. For every 60 teachers, there are 700 students.

----------------------

Another way to solve:

The ratio of boys to girls is 2:5 which we can write as 2/5

x = number of boys

2/5 = x/500

2*500 = 5x

1000 = 5x

5x = 1000

x = 1000/5

x = 200

There are 200 boys and 500 girls, so 200+500 = 700 total.

y = number of teachers

3/35 = y/700

3*700 = 35y

2100 = 35y

35y = 2100

y = 2100/35

y = 60

There are 60 teachers

3 0
3 years ago
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What is 60% of 105 a] 63 b]175 c)630 d]1750
sesenic [268]

Answer:

60 persent of it is dj 105 ]63

Step-by-step explanation:

5 0
3 years ago
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Calculate the Highest common factor of 130,260,390​
qwelly [4]

the Highest common factor of 130,260,390 = 130

130 = 2⋅5⋅13

260 = 2⋅2⋅5⋅13

390 = 2⋅3⋅5⋅13

Common multipliers (130; 260; 390): 2, 5, 13

Now to find the highest Common factor you need to multiply the common factors

Answer: (130 ; 260 ; 390) = 2 ∙ 5 ∙ 13 = 130

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3 years ago
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