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choli [55]
2 years ago
4

Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50

a case. Write an inequality for the number of cases they go through in 30 days.
Mathematics
1 answer:
trasher [3.6K]2 years ago
6 0

Answer:

\dfrac{30x}{24}>\dfrac{450}{24}

Step-by-step explanation:

We are given the following in the question:

Let x be the total number of sparkling cans of water used in a day.

The family uses more than 15 cans each day so inequality becomes,

x > 15

Number of cans in 30 days

30x > 450

The family buys case of water with 24 cans in each case.

Number of cans used in a day is more than 15, so approx number of cans used in 30 days will be =

\dfrac{30x}{24}>\dfrac{450}{24}\\\\\Rightarrow \dfrac{30x}{24}>\dfrac{450}{24} = 18.75 \approx 19\\\\\text{Number of cases} > 19

Thus, the family buys around 19 cases or more of sparkling water in 30 days.

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Elina [12.6K]

Answer:

The amount of heat required to raise the temperature of liquid water is 9605 kilo joule .

Step-by-step explanation:

Given as :

The mass of liquid water = 50 g

The initial temperature = T_1 = 15°c

The final temperature = T_2  = 100°c

The latent heat of vaporization of water = 2260.0 J/g

Let The amount of heat required to raise temperature = Q Joule

Now, From method

Heat = mass × latent heat × change in temperature

Or, Q = m × s × ΔT

or, Q =  m × s × ( T_2 - T_1 )

So, Q = 50 g × 2260.0 J/g × ( 100°c - 15°c )

Or, Q =  50 g × 2260.0 J/g × 85°c

∴   Q = 9,605,000  joule

Or, Q =  9,605 × 10³ joule

Or, Q = 9605 kilo joule

Hence The amount of heat required to raise the temperature of liquid water is 9605 kilo joule . Answer

4 0
2 years ago
An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negati
neonofarm [45]

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

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2 years ago
A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats
sweet-ann [11.9K]

Answer:

h=48

Step-by-step explanation:

You should create an even proportion. So you could do seconds over heartbeats or the other way around. I decided to do the other way around. Since yu want to see h in m minutes and in a minute there are 60 seconds, I did 8/10 = h/60. Instead of cross multiplying, I saw that 10 times 6 is 60 so 8 x 6=h. 8 x 6 = 48 so h=48.

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1 year ago
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Thank you for posting your question here at brainly. Below is the solution. I hope the answer will help you.

<span> x ( x+4) = 45 </span>

<span>5m X 5m AND 8m X 8m 
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5) x ( x+6) = 135 

<span>x^2 +6x -135 = 0 </span>

<span>( x-9) ( x+15) = 0 </span>

<span>x = 9 </span>

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8 0
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Aleonysh [2.5K]
Answer:
The bake sale raised $45.81.

Step-by-step explanation:
You take the fraction (1/3) and turn it into a decimal point (.33). Then, you multiply the total (137.45) by the decimal (.33) to get the total amount raised from the bake sale (45.81) .

Hope this helps! ;)
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