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tangare [24]
3 years ago
9

A jar contains 86 marbles of which 65 are blue 14 are red and the rest are green what is the ratio of blue marbles to green marb

les
Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

65:7

Step-by-step explanation:

there are 7 green marbles and 65 blue

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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
Which of the following best describes similar figures that are not congruent?
Drupady [299]

Answer:

A

Step-by-step explanation:

Being similar means that the shapes will have the same shape and dilation factor between sides, but if they are not congruent then the size will not be the same.

7 0
3 years ago
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t
gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

<em>Represent price of Cake with C and Price of Pie with P</em>

C = 9 + P

Cakes sold = 8

Pies sold = 14

Total = \$402

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

8C + 14P = 402

Substitute 9 + P for C

8(9+P) + 14P = 402

Open the bracket

72 + 8P + 14P = 402

Collect Like Terms

8P + 14P = 402 - 72

22P= 330

Divide both sides by 22

P = \frac{330}{22}

P = 15

Recall that

C = 9 + P

C = 9 + 15

C = 24

<em>Hence, the price of the cake is $24 and the price of the Pie is $15</em>

7 0
3 years ago
How can you best describe a stop sign using polygons? the sign has sides, so it is . it appears to be because the sides and angl
USPshnik [31]

A polygon is a two-dimensional closed object. The polygon that best describes a stop sign is a regular octagon.

<h3>What is a polygon?</h3>

A polygon is a two-dimensional closed object with n number of straight sides that is flat or planar and the value of n is always greater than 2 (n>2).

<h3>What is an octagon?</h3>

An octagon is a polygon that has 8 number of sides.

As we know that a stop sign has 8 sides, therefore, the polygon that is in the shape of the stop sign is an octagon.

An octagon has 8 sides, and as it is mentioned in the problem that sides and angles appear to be congruent, therefore, the polygon must be a regular polygon.

Hence, the polygon that best describes a stop sign is a regular octagon.

Learn more about Polygon:

brainly.com/question/17756657

3 0
2 years ago
Read 2 more answers
Need Help Please!!!!!
SVEN [57.7K]

-1 2+× and follow me plz send

3 0
3 years ago
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