4 more than a number is no more than 13

Answer:

the eighth graders receive the 50 pts because, they had the number 58 and 58 is under one minute.

Step-by-step explanation:

Answer:

the eighth graders receive the 50 pts because, they had the number 58 and 58 is under one minute.

Step-by-step explanation:

Linda made 72 more cards than Paul during the week.

Let :

Linda = x

Linda = x Paul = 1/3 of Linda's rate = x/3

Linda = x Paul = 1/3 of Linda's rate = x/3 Aaron = 2/3 = 2x / 3

Number of cards made by Aaron in a week = 72

This means :

2x/3 = 72

We can find x

2x = 72 × 3

2x = 216

Divide both sides by 2

x = 216 /2

x = 108

Hence, Number of cards made by Linda = 108

Recall :

Paul = x/3

Paul = 108 /3

Paul = 36 cards

Number of cards Linda makes more than Paul :

Linda's cards - Paul's cards

108 - 36 = 72 cards

Hence, Linda made 72 cards more than Paul.

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Answer:

Linda makes 72 more handmade cards than Paula

Step-by-step explanation:

First you need to find out how many handmade cards Linda makes by making a proportion.

The first ratio is 3 to 2 and since we are trying to find out how many cards Linda makes, it will be represented by x.

3 to 2 represents how many Linda makes to how many Aaron makes so the second ratio will be x to 72 since that's how many cards Aaron made.

Now you can put it into a proportion:

3/2 = x/72

Next you have to do Cross Product Property to find x

So 3*72 = 216

2*x = 2x

2x = 216

Now divide 2 by itself and then by 216 to find what x equals.

2/2 = 1

216/2 = 108

So Linda makes 108 handmade cards.

Now we need to find how many cards Paula made.

The ratio for how many Paula makes to how many Linda makes is 1 to 3

Since we are trying to figure out how many Paula made we need to represent it with x.

The second ratio will be x to 108 since 108 is how many cards Linda made.

Now you can put it into a proportion:

1/3 = x/108

Then you need to do Cross Product Property to find x

So 1*108 = 108

3*x = 3x

3x = 108

Now we need to divide 3 by itself to isolate x and then divide 3 by 108 to find what it equals.

3/3 = 1

108/3 = 36

So Paula makes 36 handmade cards.

Since the question is asking for how many more does Linda make than Paula you need to subtract 108 and 36.

So 108 - 36 = 72

Linda makes 72 more handmade cards than Paula.

Final answer:

To calculate the total cost of dinner including a 22% tip on a bill of $82.64, calculate 22% of the bill to get the tip amount ($18.18), then add this to the bill to find the total cost ($100.82).

Explanation:

When you receive the bil for dinner that is $82.64 and you want to leave a 22% tip for the excellent service, you need to calculate the tip first. The formula to calculate the tip is the total bill amount multiplied by the tip rate. In this case, you would calculate 22% of $82.64, which equals to $18.18 (rounded to the nearest cent). Then you add this tip amount to your original bill to get the total cost. So, $82.64 (bill) + $18.18 (tip) = $100.82. Therefore, the total cost of the dinner including the tip would be $100.82.

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