Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25

Plz explain, and plz show work

Answer:

Nonlinear

Step-by-step explanation:

I took the k12 test and I have proof.

To represent 5.5 divided by 5, you draw a line with 5 equally spaced hash marks, place 5.5 dots evenly across the marks (with an extra half dot marking the .5), showing each section contains 1.1, which is the result of the division.

To solve 5.5 divided by 5 using a model, one approach is to draw a line and label it with five equally spaced hash marks to represent the number 5. Then, place 5.5 dots on the line, disseminated evenly across the five hash marks. The model shows that each of the 5 sections contains 1 dot, and the final 0.5 dot is placed halfway between the fifth hash mark and the sixth (unmarked) section. We do this because 5.5/5 equals 1.1, and this model visually represents the fact that 5.5 divided by 5 equals approximately 1.1.

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Final answer:

The ordered pair (-1, -4) satisfies the second equation (7x - y = -3) but doesn't satisfy the first equation (x - y = 3), so it is not a solution to the system of linear equations.

Explanation:

When evaluating whether the ordered pair (-1, -4) is a solution to the system of equations x - y = 3 and 7x - y = -3, we must substitute x and y into both equations:

Given these results, the ordered pair (-1, -4) satisfies the second equation but not the first.

Will can use his fund-raising thermometer-like graphics to compare which basketball team is better at free throws by seeing which thermometer is filled up more, representing a higher success rate. For perspective, a player like Helen who makes 75 percent of her free throws is considered highly proficient, so the team with a similar or higher percentage would be better. However, Will should also consider the number of attempts to ensure the comparison is fair.

To help Will determine which basketball team is better at free throws using the pictures he drew, we can look at the statistical method of comparing percentages. If Will has drawn two fund-raising thermometer-like graphics to represent free throw success rates for the two teams, these can be compared directly to see which team has a higher percentage of successful free throws. Assuming the thermometers are accurately scaled, the one that is filled up more represents the team with the higher success rate.

Let's use Helen as an example. Helen makes her free throws 75 percent of the time, which means that if she were to take 100 shots, she would make approximately 75 of them. If Will's thermometers for the two teams show different percentages, the team with the percentage closer to Helen's or higher would be considered better at free throws.

In addition to comparing percentages, to fully understand the effectiveness of the teams at free throws, Will might also want to consider the number of attempts each team has made, as a team with a high percentage but a very low number of attempts might not be as proficient as a team with a slightly lower percentage but a much higher number of attempts. This is because percentages can sometimes be misleading when the sample size is small.

Will can compare the free throw percentages of two basketball teams using his pictorial thermometer method to determine which team is better at free throws, similar to how we use Helen's 75% free throw success rate to assess her performance.

The subject of the question is Mathematics, specifically revolving around percentages and probability in the context of basketball free throws. To help Will decide which team is better at free throws using a pictorial method like the fund-raising thermometer, we must understand how to use percentages to compare performance. Helen, for example, makes her free throws 75 percent of the time, so if she were to attempt two shots, the probability that she makes the first shot, which we are calling event C, would be 0.75 or 75%. If Will has drawn similar thermometers for two teams that show their free throw percentages, he would simply need to compare the percentages to determine which team is more successful at free throws. The higher the percentage, the more proficient the team is at making free throws.

The number 48 is 30 percent of the number 160.

We have to find 30% of what number is 48.

let the unknown number be x.

so, we can set up the equation as

30% of x= 48

30/100 x = 48

30x = 4800

Divide both side by 30

30x/30= 4800/ 30

Now, simplify

x= 120

Thus, 48 is 30% of 160.

Learn more about Percentage here:

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Answer: To make $2,670,474 you would need the following number of coins:

• 10,681,896 quarters

• 26,704,740 dimes

• 53,409,480 nickels and

• 267,704,740 penny's.

Step-by-step explanation:

To find the reduction in Kerrin's weight as a percentage of his initial weight, we convert the weights to pounds, find the weight difference, then this difference is divided by the initial weight and multiplied by 100. Kerrin lost about 7.41% of his initial weight.

To calculate the reduction in Kerrin's weight as a percentage of his initial weight, we first need to convert the weights from stones and pounds into just pounds. At the start of the diet, Kerrin weighed 13 stone 9 pounds. As there are 14 pounds in a stone, this equates to (13 x 14) + 9 = 189 pounds. Three months later, he weighed 12 stone 7 pounds which equates to (12 x 14) + 7 = 175 pounds.

The total amount of weight lost is then calculated by subtracting his later weight from his starting weight which gives us 189 - 175 = 14 pounds. The change in weight as a percentage of the initial weight can then be calculated by dividing the weight difference by the initial weight, then multiply the result by 100 to give the percentage. The resulting calculation is (14 / 189) x 100 = 7.407407407407407 which is approximately 7.41%. Therefore, Kerrin lost about 7.41% of his initial weight after three months on the diet.

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Answer:

15

Step-by-step explanation:

A new exhibit at a local zoo contains 12 ostriches. This is four more than twice the number of elephants. How many elephants are in the exhibit?

⁷/₁₀ kg

Given:

Question:

How many kilograms of cherries did they buy altogether?

The Process:

Since Linda bought [tex]\frac{1}{10} \ kg[/tex] of cherries less than Tiffany, we subtract [tex]\frac{1}{10} \ kg[/tex] from the [tex]\frac{2}{5} \ kg[/tex] of cherries Tiffany bought.

The least common multiple (LCM) of 5 and 10 is 10.

[tex]\boxed{ \ \frac{2}{5} - \frac{1}{10} = ? \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) - \frac{1}{10} \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) - \frac{1}{10} \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{3}{10} \ }[/tex]

Therefore, Linda bought [tex]\frac{3}{10} \ kg[/tex] of cherries.

Let us find out how many kilograms of cherries did they buy altogether.

[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]

[tex]\boxed{ \ \frac{2}{5} + \frac{3}{10} = ? \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{2 \times 2}{5 \times 2} \bigg) + \frac{3}{10} \ }[/tex]

[tex]\boxed{ \ = \bigg( \frac{4}{10} \bigg) + \frac{3}{10} \ }[/tex]

[tex]\boxed{\boxed{ \ = \bigg( \frac{7}{10} \ }}[/tex]

Thus, they bought [tex]\frac{7}{10} \ kg[/tex] of cherries altogether.

- - - - - - - - -

Using Diagram

[tex]\boxed{Tiffany's cherries: \frac{2}{5} = \frac{4}{10}}[/tex]

[tex]Tiffany's cherries: \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex] or 4 of 10 units.

[tex]\boxed{Linda's cherries = \frac{1}{10}}[/tex] less than Tiffany's, so we subtract 1 from 4 units of Tiffany's, that is [tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]

[tex]\boxed{ \ Tiffany's cherries + Linda's cherries =? \ }[/tex]

[tex]\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ} + \boxed{\circ}\boxed{\circ}\boxed{\circ} = \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}[/tex]

Thus, the number of the two diagrams is 7 out of 10 units or [tex]\frac{7}{10} \ kg[/tex] of cherries.

Keywords: Tiffany, bought, 2/5, kg of cherries, Linda, 1/10, less than, how many, kilograms, they buy altogether, 3/10, 7/10, LCM

Final answer:

To find out what percent 70.59 is of 19.5, divide 70.59 by 19.5 and multiply the result by 100. Doing this calculation, 70.59 is 362.05% of 19.5.

Explanation:

To determine what percent 70.59 is of 19.5, we use the formula:

Percentage = (Part / Whole)  imes 100

In this case, the 'part' is 70.59 and the 'whole' is 19.5. Plugging in the numbers:

Percentage = (70.59 / 19.5)  imes 100

Calculating this gives us:

Percentage = (3.6205)  imes 100

Percentage = 362.05%

So, 70.59 is 362.05% of 19.5.