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3 years ago

3/5 of $40 restraunt bill

Mathematics

1 answer:

inysia [295]3 years ago

8 0

$\frac{3}{5} \times 40= 3\times 8 = \boxed {24}$

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Taylor estimated the music department would raise $ 1,100 for new uniforms by selling tickets to a performance next week. Each t

Elza [17]

About 86 because $1,100 divided by $12.75=86

7 0

3 years ago

5+(x-5)=x justify each step

max2010maxim [7]

5+(x-5)=x

Simplify the left side by combining like terms:

5 + x - 5 = x

5-5 = 0

x = x

X = All real numbers.

4 0

3 years ago

Read 2 more answers

At 12 noon, leslie recorded the temperature as 56 degrees f. The temperature had increased by 8 degrees f from 10am. The tempera

Marat540 [252]

Let the temperature at 10am be x, then
x + 8 = 56
x = 56 - 8 = 48 degrees F

Let y be the temperature at 8am, then
y - 2 = 48
y = 48 + 2 = 50 degrees.

4 0

3 years ago

Read 2 more answers

Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

7 0

3 years ago

The tables represent two linear functions in a system.

stich3 [128]

Answer:

how?

Step-by-step explanation:

i didnt get this question

3 0

3 years ago