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Advocard [28]
2 years ago
10

Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve

an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone and accessories. Enter your answer in the box.
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
3 0

Answer:

495-75=m m=420

Step-by-step explanation:

He needs to save 495 dollars, and hes already saved 75

and needs to find out how much more he needs to save to have 495 dollars

To do this, take 495 and subtract 75. This is how we get the inequality

495-75=m

From here it is simple, just subtract 75 from 495 to get 420

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If the length of each edge of the cube shown in the figure is 8 inches, find the following
Mandarinka [93]
That would be 32 inches
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3 years ago
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
What is this symbol? and can someone please solve this algebra equation for me please?
omeli [17]
Well that symbol is an indention or multiply sign of expression
3 0
3 years ago
Read 2 more answers
Can someone do the midpoint for me?
dimaraw [331]

Answer:

#1  x=3 (the furthest to the left on top)

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Step-by-step explanation:

5 0
3 years ago
F is directly proportional to a . If F = 24 when a = 8 find, F when a = 6
Brilliant_brown [7]

Answer:

18

Step-by-step explanation:

24=8×3

If F=24 when A=8 then F is directly proportional to A•3

6 0
3 years ago
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