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Yuri [45]
3 years ago
8

Darlene is adopting a pet. she can choose from 8 kittens and 6 puppies.How many ways can she choose a pet to adopt

Mathematics
2 answers:
juin [17]3 years ago
7 0
14 cause shes only getting 1 pet and there are 14 animals in total
Mandarinka [93]3 years ago
6 0

Answer:  The required number of ways is 14.

Step-by-step explanation:  Given that Darlene is adopting a pet and she can choose from 8 kittens and 6 puppies.

We are to find the number of ways in which she can choose a pet to adopt.

We have

the total number of pets that are available to choose from is given by

n=8+6\\\\\Rightarrow n=14.

Since Darlene is going to adopt only one pet, so we have

r=1.

Therefore, the number of ways in which she can choose a pet to adopt is given by

^nC_r\\\\=^{14}C_1\\\\\\=\dfrac{14!}{1!(14-1)!}\\\\\\=\dfrac{14!}{1!13!}\\\\\\=\dfrac{14\times13!}{1\times13!}\\\\=14.

Thus, the required number of ways is 14.

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A line has the equation 3x ? 4y = 1. Choose the equation of a line that is parallel to the given line.
cupoosta [38]

Answer:

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

Step-by-step explanation:

If the line is 3x - 4y = 1 then the line which is parallel will have the same coefficients of x and y. Parallel lines never cross and to ensure this have the same slope. The slope is a ratio which can be solved for in an equation using the coefficients of x and y. Here the slope is:

3x - 4y = 1

-4y = -3x + 1

y = 3/4x - 1/4.

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

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3 years ago
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Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)
luda_lava [24]

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

m = (y2-y1)/(x2-x1)

m =(-4-17)/(5- -10)

   = -21/(5+10)

  = 21/15

Divide the top and bottom by 3.

  = 7/5

The slope is 7/5.


Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

y-17 = 7/5 x + 7/5*10

y-17 = 7/5 x +14

Add 17 to each side

y = 7/5 x + 14 + 17

y = 7/5 x + 31


This is in slope intercept form, with the slope  being 7/5 and the y intercept of 31

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3 years ago
Please help me...?<br><br> i'll give brainliest to correct answer! :D
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Answer:

D) 100% Positve

Step-by-step explanation:

8 0
3 years ago
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54=3q show work and step by step
MaRussiya [10]
Divide 54 by 3 which will get you q=18
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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

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3 years ago
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