convert 5/8 to percent notation

To calculate the total amount saved when buying a jacket at a store with a 10% discount and an additional 20% discount, follow these steps: find the savings from the first discount, calculate the price after the first discount, check if the price is above $100, calculate the additional discount, and add both savings together. In this case, the total amount saved is $34.9972.

To calculate the total amount saved, we need to use the following steps:

So, the total amount saved is $34.9972.

Final answer:

To find the total amount saved, apply the discounts and add the amounts together. The total amount saved is $35.00.

Explanation:

To find the total amount saved, you need to calculate the discount for each discount percentage. First, apply the 10% discount to the original price of the jacket:
10% of $124.99 = $12.499.
Next, apply the 20% discount to the price after the first discount:
20% of ($124.99 - $12.499) = 20% of $112.491 = $22.4982.

Finally, add the two discounts together to find the total amount saved:
$12.499 + $22.4982 = $34.9972.

Rounding to the nearest cent, the total amount saved is $35.00.

Answer:

Salesman's commission 4% of total monthly sales.

Step-by-step explanation:

A sneaker store salesman had $4,125 in total monthly sales last month.

He made $165 in commission from those sales.

Suppose, it is x% of the total sale.

So, x% of $4125 will be,

[tex]=4125\times \dfrac{x}{100}[/tex]

According to the question it is equal to $165, so

[tex]\Rightarrow 4125\times \dfrac{x}{100}=165[/tex]

[tex]\Rightarrow x=\dfrac{165\times 100}{4125}[/tex]

[tex]\Rightarrow x=\dfrac{16500}{4125}[/tex]

[tex]\Rightarrow x=4\%[/tex]

Therefore, salesman's commission 4% of total monthly sales.

Answer: 4%

Step-by-step explanation:

Due to the fact that the salesman had $4,125 in total monthly sales the previous month, the answer would be 4%

To express 31% as a fraction in its lowest form, divide 31 by 100 and simplify the resulting fraction.

To express 31% as a fraction in its lowest form, we need to convert the percent to a decimal first. We do this by writing 31% as a fraction with a denominator of 100 and dividing the numerator by the denominator: 31/100. To reduce the fraction to its lowest form, we find the greatest common divisor (GCD) of the numerator and denominator, which is 1. Dividing both the numerator and denominator by 1, we get the fraction 31/100 in its lowest form.

Final answer:

The translation rules in geometry involve moving every point in a figure the same distance and direction. For a horizontal translation, add or subtract the same value from the x-coordinate of each point. For a vertical translation, add or subtract the same value from the y-coordinate of each point.

Explanation:

In geometry, translation is a transformation that moves every point in a figure the same distance and direction. The translation rules involve determining the new coordinates of the translated figure.

The translation rules in geometry can be summarized as:

For example, if you have a point with coordinates (2, 3) and you want to translate it 3 units to the right and 2 units up, you would add 3 to the x-coordinate and 2 to the y-coordinate to get the new coordinates of the translated point: (5, 5).

Answer:

It includes points in Quadrant II.

It does not include points in Quadrant I.

Step-by-step explanation:

Given : If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV.

To find :  which statement about the graph of f(x) must be true.

Solution : We have given that f(x) is an odd function is lies in Quadrant IV.

Definition of an odd function: the y-value of the function at negative x is always opposite sign as the y-value of function at opposite x.

Like  (x ,-y) or (x , -y)

In odd function x and y values are in opposite sign that mean odd function always lies in Quadrant II and  Quadrant IV.

It does not include points in Quadrant I

Therefore, It includes points in Quadrant II.

It does not include points in Quadrant I.

Answer:

includes quad 2

Step-by-step explanation:

Final answer:

9.7814 rounded to the nearest whole number is 10, as the first digit after the decimal point is 7, which requires rounding up.

Explanation:

To find the nearest whole number to 9.7814, we need to look at the first digit after the decimal point. Since this digit is 7 (which is equal to or greater than 5), we round up the number. Rounding up changes 9.7814 to the next whole number, which is 10.

The general rule for rounding to the nearest whole number is:

Therefore, 9.7814 rounded to the nearest whole number is 10.

The given sequence involves a two-part pattern. One part is halving the previous number and the other part alternates between 4 and 6. Considering the pattern, the next number should be 0.5.

The sequence 8,4,2,6,3,2,4 appears to have a pattern. It seems to be a two-part pattern that alternates. The first part, observed in the numbers 8, 2, and 2, is halving (8 divided by 2 is 4, and 2 divided by 2 is 1, and 1 by 2 is 0.5). Then, the second part, observed in 4,6,4, seems to alternate between 4 and 6. So, if the pattern continues, the next number after 4 should be 0.5 from the first part of the pattern.

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The sequence could actually be representing two series - one series is halving the number (8 to 4 to 2) and the other is multiplying each number by 2 (3 to 2 to 4 to 8). Thus, the next number could either be 1 (if we continue the halving series) or 12 (if we continue the multiplying by 2 series).

The number sequence provided seems to be made of two different series interwoven. One series is halving each number (8 to 4 to 2), and the other series is multiplying each number by 2 (2 to 4 to 6 to 12).

Therefore, the next number after 8, 4, 2, 6, 3, 2, 4 should be 1 (half of 2) whereas the next number in the second series after 6, 3, 2, 4 should be 12 (four times 3). So, depending on which pattern the sequence is following, the next number could be either 1 or 12.

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Answer:

10.

Step-by-step explanation:

We are asked to find the estimation of 492.6 divided by 48.

First of all, we will round 492.6 to nearest hundreds and 48 to nearest tens.

Since tens digit of 492.6 is greater than 5, so we will round up to nearest hundred as: [tex]492.6\approx 500[/tex]

Since ones digit of 48 is greater than 5, so we will round up to nearest tens as: [tex]48\approx 50[/tex].

Now, we will find the quotient as:

[tex]\frac{500}{50}=10[/tex]

Therefore, an estimation of 492.6 divided by 48 would be 10.

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

[tex] a+b > c [/tex]

case 2)

[tex] a+c > b [/tex]

case3)

[tex] c+b > a [/tex]

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.