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miskamm [114]
3 years ago
12

9. A contestant on a game show must guess the price of a new car. The contestant will

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Given :

A contestant on a game show must guess the price of a new car. The contestant will  win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is  $24,995 and the contestant's guess is represented by g, what absolute value  inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )

23,995 ≤ r ≤ 25,995

Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .

Hence, this is the required solution.

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Anna007 [38]
Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units
8 0
3 years ago
The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions
stiv31 [10]

Answer:

Step-by-step explanation:

The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions

5 0
3 years ago
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
telo118 [61]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for <em>x</em>

  1. <u>Distribute 4:</u> 4x - 8 = 3x + 1
  2. <u>Subtract 3x on both sides:</u> x - 8 = 1
  3. <u>Add 8 to both sides:</u> x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

  1. <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
  2. <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
  3. <u>Multiply:</u> 28 = 27 + 1
  4. <u>Add:</u> 28 = 28
5 0
3 years ago
Estimate how much farther sound travels through stone in 17 seconds than through a aluminum in the same time
aev [14]

Sound travels 10200m farther through stone in 17 seconds than through aluminium

Speed of sound in aluminium =  3100 m/s

The speed of sound in stone = 3700 m/s

Time taken = 17 minutes

Distance traveled = Speed  x  Time

Distance traveled by sound in aluminium in 17 seconds  = 3100    x  17

Distance traveled by sound in aluminium in 17 seconds  = 52700 m

Distance traveled by sound in stone in 17 seconds =  3700   x  17

Distance traveled by sound in stone in 17 seconds =  62900 m

Difference in the distance traveled = 62900 - 52700

Difference in the distance traveled = 10200 m

Sound travels 10200m farther through stone in 17 seconds than through aluminium

Learn more here: brainly.com/question/13096122

6 0
3 years ago
What is the value of x in 9/5 x = 2/3
Anna [14]

Answer:

x = 10/27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

9/5x = 2/3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide both sides by 9/5:          x = 10/27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    9/5(10/27) = 2/3
  2. Multiply:                        90/135 = 2/3
  3. Simplify:                        2/3 = 2/3

And we have our final answer!

6 0
3 years ago
Read 2 more answers
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