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pogonyaev
3 years ago
12

The sum of a number is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger n

umber and y represent the smaller number. Which equation represents this situation?

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0
The thrid one is correct.
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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
3 years ago
Hello im in 11th grade, im currently struggling in two classes: chemistry and spanish. Im already in the second semester, and ju
Katarina [22]
For chemistry you would need to get an 84.
For Spanish you would need to get an 82.
Best of luck
7 0
3 years ago
The price of a notebook in 2012 is $2000.
lozanna [386]

First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.

30% ⇒ 0.30

Now multiply 0.30 by 2,000 to find 30% of 2,000.

2,000 × 0.30 = 600

Subtract 600 from 2,000 to find the price of the notebook in 2013.

2,000 - 600 = 1,400

Now find 30% of 1,400 using the same process.

1,400 × 0.30 = 420

Subtract 420 from 1,400 to find the price of the notebook in 2014.

1,400 - 420 = 980

<h2>Answer:</h2>

<u>The value of the notebook in 2014 is </u><u>$980</u><u>.</u>

7 0
2 years ago
Read 2 more answers
Dan earns £9.80 per hour how much will I earn for eight hours work
Andrews [41]

Answer:

£78.4

Step-by-step explanation:

Since he earns £9.80 per hour, we multiply this by how many hours there are. So £9.80 times 8 is £78.4. I hope this helps!

6 0
3 years ago
Hey there! posted picture of question help please
amm1812
For this case we have the following function:
 A (t) = P (1 + r / n) ^ nt
 Substituting values we have:
 A (4) = 500 * (1 + 0.09 / 1) ^ (1 * (4))
 A (4) = 705.790805
 Rounding we have:
 A (4) = 705.79
 Answer:
 
The answer for this case is given by:
 
A (4) = 705.79
 
option A
3 0
3 years ago
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