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kotykmax [81]
3 years ago
6

Which of the inequalities represents the statement, "two times a number x, less 15, is greater than or equal to 4 times the numb

er y"?

Mathematics
2 answers:
Damm [24]3 years ago
5 0
The choices are:

A) 
2x - 15 ≤ 4y 


B) 
2x - 15 ≥ 4y 


C) 
15 - 2x ≤ 4y 


D) 
<span>15 - 2x ≥ 4y
</span>
Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "<span>15 - 2x ≥ 4y". </span>I hope my answer has come to your help. God bless and have a nice day ahead!
faust18 [17]3 years ago
5 0

we know that

1) The expression "two times a number x, less 15", represent the equation

2x-15

2) The expression "4 times the number y", represent the equation

4y

3) The expression "is greater than or equal to", represent the symbol

\geq

so

4)The complete expression "two times a number x, less 15, is greater than or equal to 4 times the number y", represent the inequality

2x-15\geq 4y

using a graphing tool

see the attached figure

The solution is the shaded area below the full line

<u>The answer is</u>

2x-15\geq 4y




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a boat is trying to cross a river that is 2 miles wide, by going straight across. The speed of the boat is 25 mph, but the curre
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Answer: It will take the boat 0.11 hour to cross the river

From the original starting point, the boat end up 1.85 miles away from that point.

Step-by-step explanation: Please find the attached file for the solution

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3 years ago
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3 years ago
Ice Cream Scoops - In shops with lots of ice-cream flavors there are many different flavor combinations, even with only a 2-scoo
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Answer:

The general formula that can be used to find the required combinations for n flavor ice-cream.

N_n = \frac{n(n+1)}{2}

For 10 ice-cream flavors

N_{10} = \frac{10(10+1)}{2}

N_{10} = 55

Step-by-step explanation:

Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry

2 ice-cream flavor:

V, C

{V/V, V/C, C/C}

3 possible combinations

3 ice-cream flavor:

V, C, S

{V/V, V/C, V/S, C/S, C/C, S/S}

6 possible combinations

4 ice-cream flavor:

V, C, S, P

{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}

10 possible combinations

5 ice-cream flavor:

V, C, S, P, B

{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }

15 possible combinations

So we have a series of

3, 6, 10, 15...

This series is known as Triangular number series

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

The general formula for this series is

N_n = \frac{n(n+1)}{2}

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N_{10} = \frac{10(10+1)}{2}

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Therefore, there are 55 different combinations of 2-scoop  with 10 flavors.

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3 years ago
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Let the number of hours she spent in baby- sitting is x

and the number of hours she spent in music lessons is y.

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And she made $139. Thus, we have

5x+12y=139..............................(2)

Substituting the value of y from equation 1 in 2, we get

5x+12(18-x)=139\\&#10;5x+216-12x=139\\&#10;-7x=-77\\&#10;x=11

Therefore, she spent 11 hours in baby-sitting.

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