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user100 [1]
2 years ago
13

Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperatu

re is 350. What is the pressure when the temperature is 70?
Mathematics
1 answer:
Crank2 years ago
8 0

Answer:

180psi

Step-by-step explanation:

Step one:

given data

P1= 900 psi

T1= 350°C

P2=?

T2=70°C

Required

The final pressure P2

<em>Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up</em>

Applying the expression

P1/T1= P2/T2

substitute:

900/350= P2/70

2.57=P2/70

cross multiply

P2= 2.57*70

P2=180psi

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Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge
nignag [31]

Answer:

To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

Step-by-step explanation:

Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:

Will's shop:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

\left \{ {{12x+ 9y=780} \atop {7x + 11y =570}} \right.\\

We can isolate "x" on the second equation, we have:

x = \frac{570 - 11y}{7}

Applying this value on the first equation:

12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20

Applying the value of "y" we found on the "x" equation above, we have:x = \frac{570 - 11*20}{7}\\x = 50\\

Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20

7 0
2 years ago
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.
GenaCL600 [577]

Answer:

Afful is 21 and Naomi is 13.

Step-by-step explanation:

Let A represent the age of Afful and N represent the age of Naomi.

The sum of their ages is 34. In other words:

A+N=34

In 5 years time, Afful will be two times the age of Naomi <em>now</em>. In other words:

A+5=2N

Solve for the system. Substitute.

A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21

Afful is currently 21 and Noami is currently 13.

7 0
3 years ago
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Dafna11 [192]

Answer:

(9, - 2 )

Step-by-step explanation:

Given (- 3, 8 ) → (1, 10 )

That is the x- coordinate of the image is 4 more than the original.

The y- coordinate of the image is 2 more than the original, so

Translation rule is (x, y ) → (x + 4, y + 2 ), thus

(5, - 4 ) → (5 + 4, - 4 + 2 ) → (9, - 2 )

3 0
3 years ago
Please anyone can you help me I'm confused
Zarrin [17]

Answer:

Your Answer Would be C

Step-by-step explanation:

Look At Graph C when we go to the "Model Size" And Find 2 The Line Is Midway to the 2 on "Statue Size" and half of 2 is 1 so C Is Correct

7 0
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4. Describe the zeroes of
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Answer:

392

Step-by-step explanation:

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3 years ago
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