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Eva8 [605]
3 years ago
14

A set of numbers is shown:

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
3x + 3 > or equal to 21
3x > -3 +21
3x>18
x> 18/3
x> or equal to = 6
3(6) + 3 > 21
18 + 3 > 21
21> 21
So remember greater than or equal to

6 for x is equal to
12 for x is greater than
3(12)

18 for x is greater than 21. 3(18)

Answer is (6,12,18)

3(2.8) = 8.4 + 3 is only 11.4 < 21
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GREYUIT [131]
Distribute then divide
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PLEASE HELP ASAPPPP!
Gemiola [76]

Answer:

3 7/16 cups

Step-by-step explanation:

5 1/2 x 5/8 = 55/16 = 3 7/16

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There are 40 nickels in a roll. If you have 250 rolls of nickels, how many nickels do you have?pls help me
gayaneshka [121]

Answer:

10,000 nickles

Step-by-step explanation:

Since there are 40 nickles in a roll and you have 250, think that you have 250 sets of 40. This means that this question is a multiplication problem.

Multiply 40 x 250. This would give you 10,000.

Don't forget units.

7 0
3 years ago
Read 2 more answers
Chelsea wants to join a fitness club. The fitness club charges and initial membership fee of $30 and a monthly fee of $10.50. Sh
Mumz [18]

Answer:

She can be a member for 8 months

Step-by-step explanation:

Let x be the number of months

30 + 10.5(x) = 114

30 + 10.5x = 114

10.5x = 114-30

10.5x = 84

x = 84/10.5

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8 0
3 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
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