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3 years ago

Robe is twice joshuas age .nick is 5 years older than joshua

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Oldest to youngest

Robe, Nick, Joshua

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The school cafeteria served three kinds of lunches today to 225 students. The students chose the cheeseburgers three times more

r-ruslan [8.4K]

Let the number of fish sandwiches sold br represented by x

Then the number of grilled cheese sold is 2X

and the number of cheeseburgers 3(2x)

x + 2x + 3(2x) = 225

and solve

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Then x + 14 represents the no of pounds of the mixture

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3 years ago

Which function rule produces the following graph?

irga5000 [103]

The answer you want is going to be A

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An acute angle can have all of the following measures except 89 45 10 0

Naddik [55]

0 is the only degree that cannot work

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3 years ago

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Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr

Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, $A(10) = 0.7278A(0)$ . We use this to find k.

$A(t) = A(0)e^{-kt}$

$0.7278A(0) = A(0)e^{-10k}$

$e^{-10k} = 0.7278$

$\ln{e^{-10k}} = \ln{0.7278}$

$-10k = \ln{0.7278}$

$k = -\frac{\ln{0.7278}}{10}$

$k = 0.03177289938
$

Then

$A(t) = A(0)e^{-0.03177289938t}$

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

$A(5) = A(0)e^{-0.03177289938*5}$

$A(5) = 0.8531$

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

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3 years ago

The sum of three consecutive multiples"<br>of 8 is 192. Find the multiples.

goblinko [34]

Answer:

7,8,9

Step-by-step explanation:

192/8=24

X+(x+1)+(x+2)=24

3x+3=24

3x=21

x=7

so it’s 7,8,9

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