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xxMikexx [17]
4 years ago
5

Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per

hour, and the minimum speed is 20 miles per hour.
A. 20 ≥ x ≥ 50

B. 20 < x < 50

C. 20 > x > 50

D. 20 ≤ x ≤ 50
Mathematics
2 answers:
Mama L [17]4 years ago
6 0

Answer:

D) 20 ≤ x ≤ 50.

Step-by-step explanation:

Given : , the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

To find: Write a compound inequality that represents the situation.

Solution : We have given that

Maximum speed  = 50 miles per hour.

Minimum speed  = 20 miles per hour.

Let x represent the speed .

According to question

maximum speed  is 50 or less than 50.

Then we will use less than equal to sing

x ≤ 50

For Minimum speed is 20 or greater than 20 .

x ≥ 20

On combining both statement,

20 ≤ x ≤ 50

Therefore, D) 20 ≤ x ≤ 50.

weqwewe [10]4 years ago
5 0
Hello,

x is the rate

Answer D  20<=x<=50

If you may drive at the max rate.

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3 years ago
A person has ​$27000 nvested in stock A and stock B. Stock A currently sells for ​$30 a share and stock B sells for ​$80 a share
Harman [31]

Answer:

Step-by-step explanation:

Let x be initial number of shares of stock A and y be the initial number of shares of stock B.

Since the cost of one share of stock A is $30, the cost of x shares would be $ 30x. Similarly, the cost of y shares of stock B would be $ 80y.

The person bought these x and y shares in $ 27,000. So we can set up the equation as:

30x + 80y = 27000                               Equation 1

Value of stock B triples. So new value of each share of stock B would be $ 240 and the price of y shares will be $ 240y. Value of stock A goes up by 50%. This means the price of each share of stock A would be 30 + 0.5(30) = $ 45 and the price of x shares would be $ 45x.

The worth of stock increased to $ 76,500. So we can set up the equation as:

45x + 240y = 76500                             Equation 2

Multiplying Equation 1 by 1.5 and subtracting from Equation 2, we get:

45x + 240y - 1.5(30x + 80y) = 76500 - 1.5(27000)

45x + 240y - 45x - 120y = 36000

120y = 36000

y = 300

Using the value of y in Equation 1, we get:

30x + 80(300) = 27000

30x = 27000 - 80(300)

30x = 3000

x = 100

This means the person bough 100 shares of stock A and 300 shares of stock B.

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3 years ago
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ale4655 [162]
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