The difference of a number p and 6

Answer:

there would be, 3 slices. your welcome.

Step-by-step explanation:

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.

Learn more about the distributive property here:

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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 equation of a line with a slope of 4.2 and a y-intercept of (0, 3.4) is y = 4.2x + 3.4.

Given the slope, which is 4.2, and the y-intercept of (0, 3.4), we can write the equation of the line in slope-intercept form (y = mx + b). Here, 'm' is the slope and 'b' is the y-intercept. So the equation becomes y = 4.2x + 3.4. This is the equation that describes a line with a slope of 4.2 and y-intercept of 3.4.

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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.

Final answer:

To find out how many seats are in each waiting area, divide the total number of seats by the number of waiting areas. In this case, there are 1,160 seats and 8 waiting areas. So, the number of seats in each waiting area is 145.

Explanation:

To find out how many seats are in each waiting area, you need to divide the total number of seats by the number of waiting areas. In this case, there are 1,160 seats and 8 waiting areas.

So, to find the number of seats in each waiting area, divide 1,160 by 8.

1,160 ÷ 8 = 145

Therefore, there are 145 seats in each waiting area.

Answer:

The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.

Step-by-step explanation:

The dividend of the expression  4,396 divided by 4 is 4396. The question enunciated we round up the dividend to the nearest hundred and thousand before estimating the expression.

4396 to the nearest hundred is 4400. The nearest hundred of 396 is 400.

4396 to the nearest thousand is 4000.

Now, let's do the estimate

4400/4 and 4000/4

1100 and 1000.

The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.

Answer:

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

b^2 = c^2 - a^2

Step-by-step explanation:

Answer:

4th

Step-by-step explanation:

Dividing 7910 by 14 requires long division as typical division tables do not provide a reciprocal for 14. By performing the long division manually, we would get the quotient step by step, which allows us to estimate a reciprocal-like number for 14.

The process of dividing 7910 by 14 involves determining how many times the divisor, which is 14 in this case, can be fitted into the dividend, 7910. To make use of division tables such as those mentioned, think of the process in terms of removing the decimal point and focusing on the significant digits that come into play.

Using a table similar to Table A.1, we would begin by looking for the closest number to 14 and noting its reciprocal. For instance, if we have 1.5 with a reciprocal of 6.67 in the table, it is implied that dividing by 1.5 is similar to multiplying by 6.67. Therefore, dividing by 14 would involve finding the entry that closely represents its reciprocal value.

However, none of the provided tables show a direct reciprocal for 14 which means we might have to perform the division traditionally. As guidance, knowing that the reciprocal of 2.5 starts with a 4 lets us infer that the reciprocal of 14 would start with a value less than 0.25, since 14 is more than 5 times larger than 2.5.

In conventional long division, we would set up the problem as 7910 divided by 14 and proceed step by step, subtracting multiples of 14 from portions of 7910 until the whole number is exhausted, and noting the quotient each time. The quotient we get at each step would allow us to find a reciprocal-like number for 14, and thus help us approach the problem in a table-driven manner.

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Final answer:

To divide 7910 by 14, you set up a long division table and go through the steps of dividing, multiplying, and subtracting until you reach a quotient of 564 with no remainder.

Explanation:

To divide 7910 by 14, we can use long division. Here's how we can set up our table to solve this division problem:

Step 1: Place 7910 inside the table and 14 outside, as you would in a standard long division problem.

Step 2: Determine how many times 14 goes into 79. This is 5 times because 5 x 14 = 70.

Step 3: Write down the 5 above the division table, subtract 70 from 79 to get 9, and bring down the next digit (which is 1) from 7910 to make the number 91.

Step 4: Now determine how many times 14 goes into 91. This would be 6 times because 6 x 14 = 84.

Step 5: Write down the 6 on top of the table next to the 5, subtract 84 from 91 to get 7, and bring down the next digit (which is 0) to make the number 70.

Step 6: Finally, see how many times 14 goes into 70, which is 5 times because 5 x 14 = 70.

Step 7: Write down 5 on top of the table next to 6. Now we have the quotient of 7910 divided by 14 as 564 with no remainder.