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sergeinik [125]
3 years ago
13

What is the sum? 2/5 + 7/15

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

13/15

Step-by-step explanation:

You need to make the denominators of both equations the same

to do this multiply the numerator and denominator of the fraction 2/5 by 3

this gives you 6/15

add the numerators together and keep the denominators the same

your answer is 13/15

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Alexis has 36 marbles he gives 1/9 of marbles away to Sara. How may marbles did Sara have
sattari [20]
1/9 of total marbles = 1/9 × 36 = 4
so Alexis gave 4 marbles to Sara.
And so Alexis is left behind with 32 (36-4) marbles and so Sara have 4 marbles now
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3 years ago
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1.) Jasmine earns her regular pay of $9.50 per hour for up to 40 hours of
HACTEHA [7]

Answer:

$408.25

Step-by-step explanation:

9.50 times 40=380

9.50 times 1.5= 14.25

14.25 times 2=28.50

380+28.50=

$408.25

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A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle? (1 point) (x - 1)2 + (y + 2)2 =
Nina [5.8K]

Answer:

(x + 1)^2 + (y - 2)^2 = 3^2 = 9

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is

(x + 1)^2 + (y - 2)^2 = 3^2 = 9.

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Find the nth term of this quadratic sequence<br> 3, 11, 25, 45, .
Hoochie [10]

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

To find the nth term of the quadratic sequence.

Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6(\frac{n(n+1)}{2} )

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

             = 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Learn more about Principle of mathematical induction at:

brainly.com/question/29222282

#SPJ1

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