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elixir [45]
4 years ago
9

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
Minchanka [31]4 years ago
4 0

Answer:

Step-by-step explanation:

2k+10   | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5)  | Now if you use the Distributive Property to double check, you get 2k+ 10 again

You might be interested in
Referring to the figure, find the value of x
sergiy2304 [10]

Answer:

x = 93

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x - 73 + x + 67 = 180

2x - 6 = 180 ( add 6 to both sides )

2x = 186 ( divide both sides by 2 )

x = 93

6 0
4 years ago
Read 2 more answers
Yon buys tickets to a concert for himself and a friend. There is a tax of 6% on the price of the tickets and
Mashutka [201]

Answer:

t=1.06x+10 where x=The amount of tickets bought

Step-by-step explanation:

you multiply x by 1.06 to add the extra tax onto it.

You add the 10 to add the $10 booking fee

6 0
4 years ago
Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 18 i
zhannawk [14.2K]

Answer:

(a) 22 (b) 109

Step-by-step explanation:

GIVEN: Auditoriums are often designed so that are fewer seats per row for rows closer to the stage. Suppose you are sitting in row 18 in an auditorium and notice that there are 73 seats in your row. It appears the row in front of you has 70 seats and the row behind you has 76 seats. Suppose this pattern continues throughout the auditorium.

TO FIND: a) How many seats are in the first row b) How many seats are in the 30th row?

SOLUTION:

total seats in row_{19}=76

total seats in row_{18} =73

total seats in row_{17}=70

as it clearly form an A.P. with d=76-73=3

(a)

let total seat in first row be a

as total seats in row_{18}=73

row_{18}=a+(n-1)d

73=a+17\times3

a=22

total seats in first row are 22

(b)

total seats in 30th be x

x=row_{1}+(30-1)3

x=22+29\times3

x=109

total seats in 30th row  are 109

4 0
3 years ago
Mr zuro finds the mean height of all 14 students in his class to be 69.0 inches. Just as Mr Zuro finishes explaining how to get
ycow [4]

Answer:

69.1

Step-by-step explanation:

<em>Mean height of 14 students = 69.0 inches</em>

<em>Mean = sum of data/number of data</em>

<em>69 = sum of data/14</em>

<em>sum of data = 966</em>

<u>FOR NEW MEAN:</u>

<em>Height of additional student = 70.5</em>

Mean = sum of data/ number of data

Mean = 966+70.5/14+1

Mean = 1036.5/15

Mean = 69.1

Therefore, the mean height of the 15 students in the class is 69.1

4 0
4 years ago
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin
myrzilka [38]

Answer:

c = (y-0.13y)(1.08)

Step-by-step explanation:

c = cost and y = the original price

The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.

Hope this helped!

5 0
3 years ago
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