During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board?

Answer:

b= (p)/(2a)

Step-by-step explanation:

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:57

Step-by-step explanation: If you do in calculator 57÷3+14 it equals 33

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.

Answer:

Ellen earns $159.375 more than $85.

Step-by-step explanation:

We have been given that Ellen walks dogs on weekends she gets paid $ 8.50 per hour. Each day she works 5 hours and 45 minutes.

[tex]\text{45 minutes}=\frac{45}{60}\text{ hour}[/tex]

[tex]\text{45 minutes}=0.75\text{ hour}[/tex]

We know that each week has 5 working days.

[tex]\text{Hours worked each week}=5\times 5.75\text{ hours}[/tex]

[tex]\text{Hours worked each week}=28.75\text{ hours}[/tex]

[tex]\text{Earnings each week}=\$8.50\times 28.75[/tex]

[tex]\text{Earnings each week}=\$244.375[/tex]

Since $244.375 is greater than $85, therefore, Ellen earns $159.375 more than $85.

The number of hours of television that they both watched will be 2 hours and 12 hours respectively.

Let the number of hours used by Dineen be x.

Therefore, the number of hours that Videl watched will be 6 × x = 6x

Therefore, based on the information given, the number of hours of television watched will be:

6x + x = 14.

7x = 14.

x = 14/7 = 2 hours.

Therefore, 6x = 6 × 2 = 12 hours

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