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lubasha [3.4K]
2 years ago
14

3.1. Without counting. determine the number of seats in the theatre. Show your working out. on the balcony​

Mathematics
1 answer:
Zinaida [17]2 years ago
8 0

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

<h3>What number of seats does the theatre have?</h3>

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

Find out more on ratios and proportions at brainly.com/question/11041750.

#SPJ1

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aalyn [17]
The answer to this question is 12,321
5 0
3 years ago
A palindromic number is a number that reads the same forwards as it does backwards (example: 282 or 51715). How many 5-digit pal
Anuta_ua [19.1K]

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

<h3>How to determine the count of 4-digit palindromes</h3>

The digit of the palindromic number is 5.

This means that:

  • The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
  • The second digit can be any of 0 - 6 (i.e. 7 digits)
  • The third digit can be any of 9 digits
  • The fourth digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

Total = 7 + 7 + 9 +  1 +1

Total = 25

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

brainly.com/question/26527765

8 0
2 years ago
In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0
3 years ago
Read 2 more answers
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X + 19 + 7x + 9 = 180
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8x = 152
X = 152 : 8
X = 19
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3 years ago
How many meters in a foot
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Answer: 0.3048

Step-by-step explanation:

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