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Vanyuwa [196]
4 years ago
10

Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder o

f the money on music. Write an inequality to show how much he can spend on music.
Mathematics
1 answer:
kherson [118]4 years ago
3 0
$180 taken away from $450 is $220. the rest i'm not quite sure because there wasn't a given price for the music. 
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Nitella [24]

Answer:

W=2452.5 J

Step-by-step explanation:

The work is define as the integral of the force times distance. So we have:

W=\int^{a}_{b}Fxdx

Now, we can write the force in terms of density.

F=m*g=\rho Vg

V is the volume (V=2*1*1=2 m³)

So the work will be:

W=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0} 2*1000*9.81*xdx=\int^{0.5}_{0}19620xdx=19620(\frac{x^{2}}{2})|^{0.5}_{0}

The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.

W=19620(\frac{x^{2}}{2})|^{0.5}_{0}=19620(\frac{0.5^{2}}{2})

W=2452.5 J

I hope it helps you!

8 0
3 years ago
9. Mary is running at a pace where it takes him 8 minutes to run one mile. Let T represent the time that Mary has run, in minute
guapka [62]

Answer:

rate that Mary has run:  D = 8T

Step-by-step explanation:

distance = rate × time

4 0
3 years ago
What is 16+48 in distributive property??
Butoxors [25]

Answer:

un-distribute the GCF of the two numbers.

16(1 + 3)

Distributing we get:

16(1) + 16(3)

16 + 48

Step-by-step explanation:

:)

7 0
4 years ago
What is the quotient of 45 divieded by 12
max2010maxim [7]

Your answer would be 3.75.

3 0
3 years ago
Read 2 more answers
If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the sq
Karo-lina-s [1.5K]

Answer:

the transistors have L=1 mm of linear size

Step-by-step explanation:

For the silicon chip the area is A=1 cm² and for the transistors the area is At=L² (L=linear size) . Then since N= 10 billion transistors of area At should fit in the area A

A=N*At

A=N*L²

solving for L

L= √(A/N)

Assuming that 1 billion=10⁹ (short scale version of billion), then

L= √(A/N) = √(1 cm²/10⁹) = 1 cm / 10³ = 1 mm

then the transistors have L=1 mm of linear size

4 0
3 years ago
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