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Ad libitum [116K]
3 years ago
10

Which expression represents the number of sides in the polygon for the nth member of the pattern?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0
Given a triangle (3 sides), a hexagon (6 sides) and a nonagon (9 sides).

The sides increases by 3 and the equation that represents the pattern is 3n.

Therefore, the <span>expression that represents the number of sides in the polygon for the nth member of the pattern is 3n.</span>
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Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
Libby spent 2.50 on 10 picies of gum at this rate how much will 22 piecies of gum cost
Maslowich

Answer:

$5.50

Step-by-step explanation:

2.50divided by 10= .25

.25 times 22= 5.50

6 0
3 years ago
Capon City has 5 more than 3 times as many residents as Harbor City.
sergey [27]

Answer:

3r+5

Step-by-step explanation:

6 0
3 years ago
Carol had 2 pieces of paper. She gave each student in her class 1/4 of a piece of paper. If Carol gave away all her pieces of pa
NeX [460]
She gave her paper away to eight people because giving her paper pieces to four students ,equals one whole piece of paper, and she has two, so two times 4 equals 8.           
                         Answer:8
4 0
3 years ago
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Jean jogs 2/3 km at 12 km and then walks 1 1/3 km at 8km/h.Find her average for the whole journey.
telo118 [61]

Answer:80mi/hr * 3.5hrs

5 0
3 years ago
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