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Anna35 [415]
3 years ago
6

85% of the people survey thought the price of the car wash was reasonable. If 164 people thought the cost of the car wash was re

asonable, how many people were survey?
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

The total number of people surveyed is 193.

Step-by-step explanation:

Let us assume the total number of people surveyed = k

The percentage of people who found the  price reasonable  = 85%

The number of people who found the  price reasonable  = 164

So, the 85 % of total people who were surveyed is 164.

⇒ 85 % of  k = 164

or, \frac{85}{100}  \times k = 164\\\implies  k = \frac{164 \times 100}{85}  = 192.9 = 193

⇒ <u>k = 193</u>

<u />

Hence, the total number of people surveyed is 193.

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Elimination would be the best way to answer this question because you can multiply the top by 3 and the bottom by -4
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3 years ago
Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 10, ST = 13, TU = 11, UV = 12, and VR = 12?
Kobotan [32]

Answer:

Step-by-step explanation:

The value of x is 7 ⇒ 1st answer

Step-by-step explanation:

* Lets revise a fact in the circle

- The two tangents drawn from a point out side the circle are equal

∵ RSTUV is circumscribed about a circle

∴ Each side of the pentagon is a tangent to the circle

- Look to the attached figure to know how we will solve the problem

- Each tangent divided into two parts

# RS = x + y

∵ RS = 8

∴ x + y = 8 ⇒ (1)

# RV = x + n

∵ RV = 12

∴ x + n = 12 ⇒ (2)

- Subtract (2) from (1)

∴ y - n = -4 ⇒ (3)

# ST = y + z

∵ ST = 12

∴ y + z = 12 ⇒ (4)

# TU = z + m

∵ TU = 15

∴ z + m = 15 ⇒ (5)

- Subtract (5) from (4)

∴ y - m = -3 ⇒ (6)

# UV = m + n

∵ UV = 9

∴ m + n = 9 ⇒ (7)

- Add (6) and (7)

∴ y + n = 6 ⇒ (8)

- Lets solve equation (3) and equation (8) to find y

∵ y - n = -4 ⇒ (3)

∵ y + n = 6 ⇒ (8)

- Add (3) and (8)

∴ 2y = 2 ⇒ divide two sises by 2

∴ y = 1

- Lets substitute the value of y in equation (1)

∵ x + y = 8 ⇒ (1)

∵ y = 1

∴ x + 1 = 8 ⇒ subtract (1) from both sides

∴ x = 7

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7 0
3 years ago
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Finding which number supports the idea that the rational numbers are dense in the real numbers.
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Answer:A terminating decimal between -3.14 and -3.15.

Step-by-step explanation:

A natural number includes non-negative numbers like 5, 203, and 18476.

It is encapsulated by integers, which include negative numbers like -29, -4, and -198.

Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.

By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.

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Which ordered pair is a solution to the inequality 3x - 4y &lt; 16 ?
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Answer:

C.

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D. (2,-3)?

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