an adult elephant drinks about 225 liters of water each day. Is the number of days the water supply lasts proportional to the number of liters of water the elephant drinks? I need to know if it's proportional I already know the actual table (1 day is 225 etc...) I just need to know if it's proportional

Final answer:

The 50th term of the arithmetic sequence is found by using the formula for the nth term of an arithmetic sequence. The 50th term is 151, considering the common difference of 3 between consecutive terms in the sequence.

Explanation:

To find the 50th term of the given arithmetic sequence 4, 7, 10, 13, 16, we first need to determine the common difference (d). The sequence increases by 3 with each term, so the common difference is 3.

The nth term of an arithmetic sequence can be found using the formula a_n = a_1 + (n-1)d, where a_1 is the first term and n is the term number. Plugging in the values for the 50th term:

a_1 = 4 (first term)

d = 3 (common difference)

n = 50 (term number)

Now, compute the 50th term:

a_50 = 4 + (50-1)×3

a_50 = 4 + 49×3

a_50 = 4 + 147

a_50 = 151

Therefore, the 50th term of this arithmetic sequence is 151.

The formula C=5/9 (F-32) converts degrees Fahrenheit to degrees Celsius. A 40.0°F decrease in Fahrenheit is equivalent to a 22.2°C decrease in Celsius. The Celsius scale is also known as 'centigrade' due to the 100-degree interval between the freezing and boiling points of water.

The formula C=5/9 (F-32) is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C). To demonstrate a temperature conversion with a 40.0°F decrease, if the original temperature is T°F, the new temperature in Fahrenheit after the decrease would be (T-40)°F. The corresponding decrease in Celsius is (5/9) × 40°C, as each Fahrenheit degree is equivalent to 5/9 of a Celsius degree. To show this in a formula: ∆C = 5/9 (∆F).

On a warm day with a temperature of 88°F, the conversion to Celsius is computed as follows: T°C = 5/9 × (88°F - 32) = 5/9 × 56 = 311.1°C after rounding to the nearest tenth. The Celsius scale is sometimes referred to as centigrade because it is based on 100, from the Latin centum meaning 'hundred', referring to the 100-degree interval between the freezing and boiling points of water.

An example of converting Fahrenheit to Celsius and Kelvin is the case of a student with a temperature of 103.5°F. Using the conversion formula, the Celsius temperature would be C = 5/9 × (103.5°F - 32) = 39.7°C, and the Kelvin temperature would be K = 39.7°C + 273.15 = 312.85 K.

Answer:

Lauras step is correct, she rearranged the formula making it :

b^2 = c^2 - a^2

Step-by-step explanation:

Answer:

Amount of Juice in Pedro glass is [tex]\frac{2}{4}[/tex]

As, [tex]\frac{2}{4}=\frac{1}{2}[/tex]

Now, we want fraction which is greater than  [tex]\frac{2}{4}[/tex], but denominator of 6.

So ,the fraction having denominator 6 are,

[tex]\frac{1}{6},\frac{2}{6},[\frac{3}{6}=\frac{1}{2}],\frac{4}{6},\frac{5}{6},\frac{6}{6}[/tex]

The required fractions are

[tex]\frac{4}{6} ,\frac{5}{6},\frac{6}{6}[/tex]

He is using the distributive property option (B) distributive is correct if 57 drinks for $2 each Pizza: 26 slices for $2 for each Candy.

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b)  in the form of (ac+bc).

It is given that:

Drinks: 57 drinks for $2 each Pizza: 26 slices for $2 each Candy: 55 candy bars for $1 each Peanuts

2(57 + 26) + 1(55 + 31)

a(b + c) = ab + ac

Thus, he is using the distributive property option (B) distributive is correct if 57 drinks for $2 each Pizza: 26 slices for $2 for each Candy.

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The coefficient of the term 5/3 xy is 5/3.

For the given question, the expression is given as;

5/3 xy

Where,

coefficient is 5/3 as this is the fixed values for the expression.

Variables is x and y as the values can be changed for the expression.

Thus,  the coefficient of the term 5/3 xy is 5/3.

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Answer:

Choose another number.

Step-by-step explanation

We could take x=3 and evaluate, for the first expression we would have

[tex]2x=2\cdot3=6[/tex]

and for the secod expression we would have

[tex]x^2=3^2=9[/tex]

For this choosen x, we would have

[tex]2x=6\neq9=x^2[/tex]

which would show lisa that she is incorrect.

From the question itself, it might be clear that because a minute is so much shorter than an hour (a minute is only 1/60th of an hour, because there are 60 minutes in each hour), 3/6 of a minute will be shorter than 4/6 of an hour.

But, if you wanted to calculate this the long way, you can.

To compare these two you can convert them to a unit of time that they have in common - for example, minutes.

In the first fraction, you can reduce 3/6 down to 1/2 - you probably already know that 1/2 is the same as half a minute.

Then you can multiply fractions to find out how many minutes are in 4/6 of an hour.

 4/6 can also be reduced down to 2/3. You also know that there are 60 minutes in an hour.

(2/3 / 1 hr) x (1 hr/60 min) =  (2/3) x 60 = 120/3 = 40 min

40 min is of course bigger than half a minute! So 3/6 of a minute is shorter.

To solve for q in the equation '7m+n over q = 2m', multiply both sides by q and then divide both sides by 2m to isolate q.

To solve the equation 7m+n over q = 2m for q, we start by isolating q on one side of the equation. We can do this by multiplying both sides of the equation by q and then dividing both sides by 2m. This gives us the following steps:

Now, q is isolated, and the equation shows how q is related to m and n.

The answer is A.

It's the only part during her trip where the line goes up aka increasing.

During ''between 0 and 10 minutes'' time period her speed increasing.

Option A is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph is shown in figure to represents part of Brooke's trip to work.

Now,

Since, The graph is shown in figure to represents part of Brooke's trip to work.

Clearly, Between 0 to 10 minutes her speed will increased and then between 10 to 25 minutes her speed is constant and between 20 to 25 minutes her speed is decreased.

So, In between 0 and 10 minutes time period her speed increased.

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To solve the equation 0.5p = p + 5, subtract p from both sides and divide both sides by -0.5.

To solve the equation 0.5p = p + 5, we can start by simplifying both sides. Let's subtract p from both sides: 0.5p - p = 5. Combining like terms, we get -0.5p = 5. Now we can divide both sides by -0.5 to isolate p: p = 5 / -0.5. Dividing 5 by -0.5 gives us p = -10. Therefore, the solution to the equation is p = -10.

Final answer:

Norah and Janice share £300 in a 9:1 ratio. Norah receives £270 while Janice gets £30, after dividing the total amount into 10 parts and then allocating the shares according to the ratio.

Explanation:

To calculate the share of the money Norah and Janice will each receive from £300 in the ratio of 9:1, we need to find out how many parts we divide the total sum into, and then allocate the appropriate amount to each based on the ratio.

Firstly, the total number of parts is 9 (for Norah) + 1 (for Janice) = 10 parts.

Next, we calculate the value of each part by dividing the total sum of £300 by 10: £300 / 10 = £30 per part.

Now, to find Norah’s share, we multiply 9 (her part of the ratio) by the value of one part: 9 * £30 = £270.

Janice’s share is simply one part, so it's £30: 1 * £30 = £30.

Therefore, Norah will receive £270 and Janice will receive £30.

Answer:

5/12 = n/100

Step-by-step explanation: the answer was right on ttm

Answer:

B) LaTasha charges $10 before she begins mowing.

Step-by-step explanation:

Latasha charges $10 before she begins mowing. From the linear function if you compare the relationship between time(hours) and cost($), you will notice that LaTasha charges $4 for 1/2 hour of mowing.

The first value shows LaTasha charges $10 before mowing. The hour value was 0 but yet her cost was $10 . The second value for time was 1/2 hour and the initial cost of $10 was added to the actual half hour she worked which is $4.  After adding her initial cost of $10 , adding $4 dollar for every 1/2 hour gives your her cost in dollar. Example  $10 + $4 = $ 14 , The next one she worked 1 hour which is $8 + 10 = $18 and so on

The time value increases by half hour and the cost increases by $4 . You can conclude that LaTasha charges $4 for every 1/2 hour she mow.

To find out how many times your heart beats per minute, divide the total number of beats by the number of minutes. In this case, 240 beats in 4 minutes results in a heart rate of 60 beats per minute.

If your heart beats 240 times in 4 minutes, you can find out how many times it beats per minute by dividing the total beats by the total minutes. So, you would divide 240 beats by 4 minutes to calculate the heart rate in beats per minute (BPM).

The calculation would look like this:

240 beats \/ 4 minutes = 60 beats per minute.

Therefore, your heart beats 60 times each minute. It's interesting to note that the average heart rate is between 60 to 100 BPM for resting adults. If your heart beats 75 times per minute, it's considered within the average range.

Knowing your heart rate can be important for monitoring your fitness levels and overall health, especially during activities like exercising where your heart rate increases.