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Ne4ueva [31]
3 years ago
11

Which number is equivalent to the fraction 15/7 A. 7/15 B. 2 C. 2 4/7 D. 2 1/7

Mathematics
2 answers:
nadezda [96]3 years ago
8 0

Answer:D 2 1/7

Step-by-step explanation: you can put 7 into 15 two times and that gives you 2 holes and you then have 1/7 leftover therefore you have 2 1/7.

mezya [45]3 years ago
4 0

Answer:

d.2 1/7

Step-by-step explanation:

15/7=2 1/7

2 1/7=2*7+1/7

=15/7

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The third term in an arithmetic sequence is 14 and the fifth term is 20. If the first term is a1, which is an equation for the n
Kruka [31]

Answer:

The equation for nth term is 3n + 5.

Step-by-step explanation:

Let a1 be a,

a3 = a + (n - 1)d

or, 14 = a + (3 - 1)d

so, 14 = a + 2d

Now,

a5 = a + (n - 1)d

or, 20 = a + (5 - 1)d

or, 20 = a + 4d

now,

a + 4d = 20

a + 2d = 14

now,

a + 4d - ( a + 2d) = 20 - 14

or, a + 4d - a - 2d = 6

or, 2d = 6

so, d = 3

Now,

a + 2d = 14

or, a + 2(3) = 14

or, a = 14 - 6

so, a = 8

Now,

an = a + (n - 1)d

or, an = 8 + (n - 1)3

or, an = 8 + 3n - 3

so, an = 3n + 5

5 0
2 years ago
On the school playground , the slide is 12 feet due west of the tire swing and 16 feet due south of the monkey bars. What is the
weqwewe [10]
The answer is 13 meters
6 0
2 years ago
Read 2 more answers
Put these numbers in order, starting with the largest.
timama [110]
Since its largest to smallest, start with the bigger numbers! your answer will be
779,500 545,417 459,300 293,000 273,481

hope this helps, please mark brainliest :))
8 0
2 years ago
Read 2 more answers
A) What is the equation of the line that passes through the given pair points in slope-intercept form?
lesya [120]

A)

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5.1) and (-1, -0.5). Substitute:

m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}

Therefore we have:

y=\dfrac{28}{15}x+b

Put the coordinates of the point (-1, -0.5) ot the equation:

-0.5=\dfrac{28}{15}(-1)+b

-0.5=-\dfrac{28}{15}+b     <em>multiply both sides by 2</em>

-1=-\dfrac{56}{15}+2b       <em>add \dfrac{56}{15} to both sides</em>

\dfrac{41}{15}=2b            <em>divide both sides by 2</em>

b=\dfrac{41}{30}

Answer: \boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}

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

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}

Therefore we have:

y=-\dfrac{7}{5}x+b

Put the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{7}{5}(-2)+b

\dfrac{15}{5}=\dfrac{14}{5}+b              <em>subtract \dfrac{14}{5} from both sides</em>

\dfrac{1}{5}=b\to b=\dfrac{1}{5}

Answer: \boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}

7 0
3 years ago
What is 152.925 rounded to the nearest hundredth
Mandarinka [93]
The answer rounded to the nearest hundredth is 152.93
4 0
2 years ago
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