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algol [13]
3 years ago
14

Steve bought used and new video games from a web site. The new games cost $54 each and the used games cost $9 each. He spent no

more than $243 on the video games, and he bought no more than 7 video games. Let x represent the number of new video games, and let y represent the number of used video games.
Write a system of inequalities to represent the situation.
Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer: Steve bought 4 new video games, and he spent $216

Step-by-step explanation: Because 54x4=216

I hope this helped

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Varvara68 [4.7K]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
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A parking garage charges a $2.50 daily fee plus an hourly rate of $4.00. If you have $12.50 to pay for parking, how long can you
Vesnalui [34]

Step-by-step explanation:

First we need to set up an equation so

12.50=4x+2.50

Simplify each side by subtracting the initial fee of 2.50

10=4x

divide by 4 to isolate x

2.5=x

You can park for 2.5 hours with your budget

8 0
3 years ago
What is the value of y? NU=9, NM= 3, MT= 6, TN= y
nevsk [136]

Answer:

6\sqrt{3}

Step-by-step explanation:

We have to use Pythagoras' identity twice to find y

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

In right triangle MUT to find TU

TU² + 3² = 6², that is

TU² + 9 = 36 ( subtract 9 from both sides )

TU = 27 ( take the square root of both sides )

TU = \sqrt{27} = \sqrt{9(3)} = 3\sqrt{3}

In right triangle NUT to find y

y² = 9² + (3\sqrt{3} )² = 81 + 27 = 108 ( take the square root of both sides )

y = \sqrt{108} = \sqrt{36(3)} = 6\sqrt{3}

3 0
3 years ago
I NEED HELP IDENTIFYING THE SLOPE PLEASE !!! Pic attatched !!!!
Alexus [3.1K]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)

m = \frac{1-4}{5-2}  = \frac{-3}{3} = - 1 ← negative slope

Repeat

with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)

m = \frac{0-8}{-7+7} = \frac{-8}{0}

Division by zero is undefined, thus slope is undefined.

Repeat with

(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)

m = \frac{-3+3}{-4-6} = \frac{0}{-10} = 0 ← zero slope

Repeat with

(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)

m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4} ← positive slope

7 0
3 years ago
A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and t
Eddi Din [679]

Answer:

  • P(Yellow)=0.25
  • P(Not Red)=0.65

Step-by-step explanation:

P(Red)=0.35

P(Green)=0.4

(a)Since there are three colours inside the bag

P(Red)+P(Green)+P(Yellow)=1

0.35+0.4+P(Yellow)=1

P(Yellow)=1-(0.35+0.4)

P(Yellow)=0.25

(b) In probability, the sum of an event and its complement is 1.

Therefore:

P(Red)+P(Not Red)=1

0.35+P(Not Red)=1

P(Not Red)=1-0.35

P(Not Red)=0.65

3 0
3 years ago
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