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Korolek [52]
2 years ago
9

Before a renovation, a movie theater had 120 seats. After the renovation, the theater has 162 seats. What is the approximate per

centage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.​
Mathematics
1 answer:
DiKsa [7]2 years ago
3 0

Answer:

35%

Step-by-step explanation:

Percent increase is (new number - old number) / old number

(162 - 120) / 120 = 42 / 120 = 0.35 = 35%

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Peter has money in two savings accounts. One rate is 6% and the other is 14%. If he has $900 more in the 14% account and the tot
-BARSIC- [3]

Answer:

  • $1375 at 14%
  • $475 at 6%

Step-by-step explanation:

Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...

  0.14x + 0.06(x -900) = 221

  0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify

  x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%

  (x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%

Peter invested $475 in the 6% account and $1375 in the 14% account.

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3 years ago
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6 0
3 years ago
The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse
miss Akunina [59]

<u>Answer:</u>

5.65 cm

<u>Step-by-step explanation:</u>

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

a ^ 2 = b ^ 2 + c ^ 2

where a is the hypotenuse.

a ^ 2 = 4 ^ 2 + 4 ^ 2

\sqrt { a ^ 2} = \sqrt { 3 2 }

a = 5 . 6 5

Therefore, the length of the hypotenuse is 5.65 cm.

5 0
3 years ago
Read 2 more answers
Write the phrase as an expression. Then evaluate the expression when x = 5.
Nadusha1986 [10]

Answer:

6 + 8x

46

Step-by-step explanation:

1. Write the expression

6 + 8x

2. Plug in 5 for x

6 + 8(5) → 6 + 40 = 46

6 0
3 years ago
Find the area of the composite figure below.
daser333 [38]

Answer:

112

Step-by-step explanation:

srry. i meant to put 112 erlier

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3 years ago
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