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Anit [1.1K]
2 years ago
10

Eric is twice as old as Shawn. The sum of their ages is 33. How old is Shawn?

Mathematics
1 answer:
vaieri [72.5K]2 years ago
4 0

Answer:

Shawn is 11 years old, Eric is 22 years old

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What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?
ElenaW [278]
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624

The final answer here is choice C) -624
<span>
</span>
5 0
3 years ago
. If her allowance had stayed the same, $9.00 a month, how many carnival tickets could she bu
jarptica [38.1K]

Answer:

a) number of tickets she could buy in a month with her allowance in 2008 = 4 tickets

b) number of tickets she could buy in a month with the same allowance in 2012 = 2 tickets

c) $5, an increase of 55.56%

d) $2, a 100% increase.

e) Hallie was able to buy more tickets in 2008 than in 2012.

f) $16

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

a) Halie's allowance monthly = $9

Price of a ticket in 2008 = $2

number of tickets she could buy in a month with her allowance = (9/2) = 4.5 = 4 tickets (since there are no half tickets)

b) Halie's allowance monthly = $9

Price of a ticket in 2012 = $4

number of tickets she could buy in a month with her allowance = (9/4) = 2.25 = 2 tickets (since there are no quarter tickets)

c) In 2012, Hallie's allowance was $14.00 per month. How much did her monthly allowance increase between 2008 and 2012?

Her monthly allowance in 2008 = $9

Her monthly allowance in 2012 = $14

The increase = new allowance - old allowance = 14 - 9 = $5

In percentage terms,

% increase = 100% × (new - old)/(old)

% increase = 100% × (14 - 9)/9 = 55.56%

d) How much more did a carnival ticket cost in 2012 than it did in 2008?

Price of a ticket on 2008 = $2

Price of a ticket in 2012 = $4

Increase in price = 4 - 2 = $2

% increase = 100% × (4 - 2)/2 = 100%

e) Was Hallie able to buy more carnival tickets in 2008 or in 2012 with one month's allowance?

Hallie was able to buy more tickets in 2008 than in 2012.

f) What would Hallie's allowance need to be in 2012 in order for her to be able to buy as many carnival tickets as she could in 2008?

Hallie could buy 4 tickets in 2008.

Price of a ticket in 2012 = $4.

Price of 4 tickets in 2012 = 4 × $4 = $16

Hope this Helps!!!!

3 0
2 years ago
A=30 and AB=4 how long is bc
mojhsa [17]

Answer:

bc is 26

Step-by-step explanation:

7 0
3 years ago
I have multiple question but for that i will give u lots of points and who ever gets it first ALL OF THEM will also get brainles
Maslowich

Answer:

1. slope is 1/2

2. slope is 1/3

3. slope is 2/3

4. slope is 3

5. y=3x-2

Step-by-step explanation:

8 0
3 years ago
Simplify these 12 radicals:
Alexandra [31]
1)
4 \sqrt{5}
2)
8
3)
3 \sqrt{5}
4)
3 \sqrt{6}
5)
4 \sqrt{2}
6)
6
7)
5 \sqrt{6}

8)
2 \sqrt{5}
9)
6 \sqrt{5}
10)
6 \sqrt{2}
11)
2 \sqrt{2}
12)
5 \sqrt{2}
6 0
3 years ago
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