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Fudgin [204]
3 years ago
14

John and his son are building a boxcar for a group competition. According to the rules of the competition, the length of the car

must be 3 inches greater than its width. Also, the width of the car must be at least 2 inches greater than the radii of the wheels. When they signed up for the competition, they were given a kit containing everything they needed to build the car except for the base and the wheels. According to the rules of the competition, they must spend no more than $50. The cost of the base will be $0.50 per square inch and the cost of each of the 4 wheels will be $2.25 per inch of radius. If x represents the width of the car and y represents the radii of the wheels, then which of the following systems of inequalities can be used to determine the length and width of the car and the radii of the wheels?
Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

x ≥ y + 2

0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50

Step-by-step explanation:

x = width of the car

x+3 = length of the car

y = radius of the car

The width must be at least 2 inches greater than the radius, so:

x ≥ y + 2

The total cost must be no more than $50, so:

0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50

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A certain radioactive isotope decays at a rate of 2% per 100 years. if t represents time in years and y represents the amount of
gregori [183]
We rewrite the equation:
 y = y0 * e ^ (- 0.0002 * t)
 In this equation:
 I = represents the initial amount of the isotope
 We have then:
 89% of the isotope left:
 0.89 * y0 = y0 * e ^ (- 0.0002 * t)
 We clear the time:
 e ^ (- 0.0002 * t) = 0.89
 Ln (e ^ (- 0.0002 * t)) = Ln (0.89)
 -0.0002 * t = Ln (0.89)
 t = Ln (0.89) / (- 0.0002)
 t = 582.6690813
 round to the nearest year:
 t = 583 years
 Answer:
 
There will be 89% of the isotope left in about:
 
t = 583 years
7 0
3 years ago
Write 456 in expanded notation using powers of 10​
salantis [7]

Answer:

400+50+6

Step-by-step explanation:

456 means 400+50+6

4 0
3 years ago
A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs
Goryan [66]

Answer:

Option a. Y=3x

Step-by-step explanation:

Let us use cross multiplication method.

Let the cost of 1 magazine be x.

No. of copies                               Cost

1)50                                                $150

2)1                                                      x

50x=150 x 1               equation(1)

x=150/50

x=$3

Now see equation (1),

150=50x

150=50 x 3

Here let us represent the cost as y and no. of copies as x.

Y=3x

Therefore, a. Y=3x is the right answer.

Thank you!

                                             

8 0
3 years ago
Chase's birthday party costs $8 for every guest he invites. How many guests can there be
QveST [7]

Answer:

4 guests

Step-by-step explanation:

If it's $8 every person, 4 x $8 is $32, so he can have 4 guests.

7 0
3 years ago
Read 2 more answers
Whats equlvlent to 3√6
Firlakuza [10]

Answer:

Important: 3

6

looks like a fraction, but it is actually an improper fraction.

There is an infinity number of equivalent fractions to 3

6

.

To find an equivalent fraction to 3

6

, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By dividing the original fraction by 3, we get:

3 ÷ 3

6 ÷ 3

= 1

2

By multiplying the original fraction by 2, we get:

3 × 2

6 × 2

= 6

12

Step-by-step explanation:

8 0
2 years ago
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