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saw5 [17]
2 years ago
8

You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6 minutes to set up the

game and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free. Which inequality describes the number of levels, C, you can play in 60 minutes?​
Mathematics
1 answer:
igomit [66]2 years ago
5 0

Answer:

B.

Step-by-step explanation:

Given,

The time for set up the game =  5\frac{1}{6} minutes,  

Also, the time for each level of game is 7\frac{1}{3\\} minutes,  

If there are l levels of games,  

Then the time taken in all levels of game = (7\frac{1}{3}) l<em> </em>

Hence, the total time ( in minutes ) = Set up time + time in all level

= 5\frac{1}{6} +(7\frac{1}{3}) l

We have 60-minute of free trial of the game,

So, the total time taken can not be exceed to 60 minutes,

= 5\frac{1}{6} +(7\frac{1}{3}) l\leq 60

Which is the required inequality.  

Option 'B' is correct.

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A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which series of transformations would produce an image with vertices B″
vichka [17]

We must apply the <em>transformation</em> rules (x, y) → (- x, y) and (x, y) → (x + 1, y + 1) to generate the vertices B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3). (Right choice: B)

<h3>How to determine the right transformation rules for a set of three points</h3>

In this question we have three points on a <em>Cartesian</em> plane: B(x, y) = (- 3, 0), C(x, y) = (2, - 1), D(x, y) = (- 1, 2). First, we proceed to apply the <em>transformation</em> rule (x, y) → (- x, y):

B'(x, y) = (3, 0), C'(x, y) = (- 2, -1), D'(x, y) = (1, 2)

Then, we use the <em>transformation</em> rule (x, y) → (x + 1, y + 1):

B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3)

Then, we must apply the <em>transformation</em> rules (x, y) → (- x, y) and (x, y) → (x + 1, y + 1) to generate the vertices B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3).

To learn more on transformation rules: brainly.com/question/9201867

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7 0
2 years ago
A fraction is less than 1. Choose a counterexample that will prove this conjecture false​
Vesnalui [34]

Answer:

1st option

Step-by-step explanation:

Here we are trying to prove that not all fractions are less than 1. So we have to choose an example in which the fraction is more than 1.

1) \frac{8}{7}  = 1 \frac{1}{7}

This fraction is greater than 1 hence it can prove that the conjecture is false.

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7 0
3 years ago
P=$222 r=12% Y=10 A=?
sergey [27]
To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
             I  = Interest

or you can use 

A = P (1+ rt)

Where: P = principal
             r  = rate in decimal
             t  = time in years

With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
   = $222(1 + (0.12)(10))
   = $222(2.2) 
   = $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
  = $488.40 - $222
  = $266.40

$266.40 is the added interest to the principal amount. 
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3 years ago
Limit question: lim x--&gt;pi ((e^sinx)-1)/(x-pi)
aleksandr82 [10.1K]
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f'(c):=\displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}

So the value of this limit is exactly the value of the derivative of f(x)=e^{\sin x} at x=\pi.

You have

f'(x)=\cos x\,e^{\sin x}\implies f'(\pi)=\cos\pi\,e^{\sin\pi}=-1
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in peter's garden, 3/4 of the flowers are tulips. of the tulips, 2/3 are yellow. what fraction of the flowers in peter's garden
bekas [8.4K]
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3 of the 4 columns are marked T for tulips.

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This shows us that 6 of the 12 boxes, 1/2, are yellow tulips.

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