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GuDViN [60]
3 years ago
5

The sum of three numbers is 110. The third number is 3 times the first. The second number is 5 more than the first. What are the

numbers?
Please help me I've been trying to figure it out for a while but I cant
Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

The numbers are 63, 26, & 21

Step-by-step explanation:

110 = 3x + (5 + x) + x

105 = 3x + 2x

105 = 5x

21 = x

Plug it back into the first equation to find your values

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lukranit [14]

Answer:

B is correct I hope this helps.

4 0
2 years ago
10. An arithmetic sequence has this recursive formula. What is the explicit formula?​
Mrrafil [7]

Answer:

a_{n}=45-3n

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

a_{n} =a_{1} +(n-1)d\\

d is the common difference, can be found by:

d=a_{n}-a_{n-1}=-3

Subtituting the a_{1} and d

You get:

a_{n}=42+(-3)(n-1)=45-3n

Method 2 (Mathematical induction):

Assume it is in form a_{n}=45-3n

Base step: a_{1} =45-3(1)=42

Inducive hypophesis: a_{n}=45-3n

GIven: a_{n+1} =a_{n}-3

a_{n+1}=45-3n-3=45-3(n+1)

Proved by mathematical induction

a_{n}=45-3n

5 0
3 years ago
I need help pls!! 20 points I need it!!
dolphi86 [110]

Answer: About 6.71 units

Step-by-step explanation:

You use the distance formula: \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}  }.

Assign the the two points to the variables:

(x_{1}, y_{1}) =  (1, 3)\\(x_{2}, y_{2}) = (4, -3)

Substitute them in the formula:

\sqrt{(4-1)^{2}+(-3-3)^{2}}

And solve it:

\sqrt{(4-1)^{2}+(-3-3)^{2}}\\=\sqrt{(3)^{2}+(-6)^{2}}\\=\sqrt{9+36}\\=\sqrt{45}\\=6.71

3 0
3 years ago
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Answer:

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Step-by-step explanation:

joint porbability formula

0.23*0.73*0.74 = 0.124246

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3 years ago
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