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AlladinOne [14]
3 years ago
15

3x - 2x + 8 = 12; x = 4​

Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Answer:

correct

Step-by-step explanation:

3(4)-2(4)+8=12

12-8+8=12

12=12

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While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

 U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

 number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

6 0
4 years ago
Can someone pls help with this
Anon25 [30]

Answer:

sorry i cant figure this out

7 0
3 years ago
The manager of a baseball team has 15 players to choose from for his 9 person batting order
Masteriza [31]
Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005    362,880    3,603,600    1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
^nC_r= \frac{n!}{(n-r)!r!}
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005

6 0
3 years ago
Read 2 more answers
A class student council election was held on Monday and 15 of the 20 students decided to vote. On Tuesday, another election was
AnnyKZ [126]

Answer:

12

Step-by-step explanation:

We know that 15/20 students voted in the StuCo election on the first go around.

Using this ratio for 16 student is as simple as multiplying 15/20 by 16

(15/20)*16=12

6 0
3 years ago
It costs $20 a day to rent a car and $30 for a full tank of gas. If Stacy fills up the tank 3 times and has the car rented for 1
Nata [24]

Answer:

$20 × 14 days = $280

&30 × 3 = $90

&280 + $90 = $370

4 0
2 years ago
Read 2 more answers
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