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saveliy_v [14]
3 years ago
12

The first term of a linear sequence is 3 and the 18th term is 31. Find the common difference

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Answer:

i dont know sorry

Step-by-step explanation:

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The following are the ages (years) of 5 people in a room:
slava [35]

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

We are given:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, and then the mean age of 6 people is 17.

We need to find the age of person who entered the room.

The formula to calculate mean is: Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}

Now, in question we are given mean of 6 people that is 17

The age of 5 people are given while age of one person who enters the room is unknown.

Let age of person whose age is unknown= x

Now finding x using mean formula

Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15

So, The value of x: x=15

Hence, the age of the person who entered the room is 15

4 0
3 years ago
Explain: What is the solution to this system of equations? <br><br> 2x+y=20 <br> 6x-5y=12
bazaltina [42]

Answer:

solution set is (x,y) = (7,6)

Step-by-step explanation:

solving by substitution method

2x +y=20--------------1

6x-5y=12---------------2

from equation 1, solve for y

2x+y=20

y= 20-2x------equation 3

adding value of y in equation 2

6x-5y=12

6x-5(20-2x)=12

6x-100+10x=12

16x= 12+100

16x= 112

x= 112/16

x=7

adding value of x in equation 3

y= 20-2x

y= 20- 2(7)

y=20-14

y=6

so solution set (x,y) = (7,6)

3 0
3 years ago
Find the perimeter of 24+2×+11 and 6×-8+7×-19+24​
Kipish [7]

Answer:

Step-by-step explanation:

4 0
3 years ago
Mrs. Arnold is serving hamburgers to her family at six tonight for dinner she uses 1/2 pound of ground meat for each hamburger p
Alexxandr [17]

Answer:

Yes

Step-by-step explanation:

1/2 pound= 8 ounces

50/8=6.25

six burgers with some meat leftover.

8 0
2 years ago
Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of
Marianna [84]

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is C=25(1.025)^x

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28

It will take 28 years

5 0
3 years ago
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