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2 years ago

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An internet cafe has a flat rate of ₱15. 00 for the first hour of playing, surfing and the like. An additional ₱5.00 is charge e

very hour incess afterwards. Contruct a mathematical model for the given situation.

1 answer:

dedylja [7]2 years ago

5 0

Answer:

y = 5x + 15

Step-by-step explanation:

your equation is:

y = mx + b

or:

cost = cost per hour + flat rate

y = 5x + 15

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The number of hours Layla worked each week for the first eight weeks of summer break are recorded below.

Rainbow [258]

Answer: The value of the center increases and the distribution has a smaller spread.

Step-by-step explanation:

Re - arranging the first value in ascending order , we have :

12 ,14, 16 , 19, 21 , 22 , 28 , 32

Median = 19 + 21 / 2

= 40/2

= 20

Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean

Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32 / 8

Mean = 164/8

Mean = 20.5

Therefore to calculate the standard deviation, we need to calculate the variance, which is

$(12-20.5)^{2}$ + $(14-20.5)^{2}$ + $(16-20.5)^{2}$ + $(19-20.5)^{2}$ + $(21-20.5)^{2}$ + $(22-20.5)^{2}$ + $(28-20.5)^{2}$ + $(32-20.5)^{2}$ / 8

Variance = 328/8

Variance = 41

Standard deviation = $\sqrt{variance}$

S.D = $\sqrt{41}$

S.D = 6.4

Also re arranging the second values , we have :

20 , 24 , 25 , 31

Median = 24 + 25 / 2

Median = 49/2

Median = 24.5

Calculating the S.D using the same format , the S.D = 3.9

Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread

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2 years ago

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Ricky needs $45 to buy a jacket. He has saved $15 and plans to work as a babysitter to earn $5 per hour. Which inequality shows

inessss [21]

Answer:

Step-by-step explanation:

the answer is c

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2 years ago

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Sal was tired of waiting for Amir to show up at their meeting place, so he started running at an average speed of 4.5 mph withou

skelet666 [1.2K]

Let s and a represent the position of Sal and Amir respectively.

s=.75+4.5t and a=-.25+6.7t

When Sal catches Amir, s=a so we can say.

-.25+6.7t=.75+4.5t subtract 4.5t from both sides

-.25+2.2t=.75 add .25 to both sides

2.2t=1 divide both sides by 2.2

t=5/11 hours

t≈0.45 hours (to nearest hundredth of an hour)

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2 years ago

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How many 4/5 cup servings are in 4/9 of a cup of yogurt

kolbaska11 [484]

For this question, you need to understand how to divide fractions.First we line up our fractions appropriately:
4/9 ÷ 4/5 = ? (You want to divide 4/9 by 4/5)
4/9 × 5/4 = ? (Now we use the reciprocal of 4/5 and multiply instead of divide)
4 x 5 = 20 and 9 x 4 = 36. (Cross multiply.)
20/36 = 5/9. (Simplify to lowest terms.)
So, 4/9 divided by 4/5 is 5/9!But 5/9 is more than 4/9, so the answer is 0 :PCorrect me if I'm wrong.

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1 year ago

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Which expression is equivalent to StartFraction 3 x Over x + 1 EndFractiondivided by x + 1?

8_murik_8 [283]

Answer:

Step-by-step explanation:

All those words! Just use math.

$\frac{3x/(x+1)}{x+1} = \frac{3x}{(x+1)^2}$

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1 year ago