what the ratio, 75:24 as a decimal

Given a value of 'x x 10¹', 'x' represents the value with placeholder zeros removed, and '10¹' denotes the number of placeholder zeros in the measurement. On a logarithmic scale, each tick mark is 10 times the value of the previous mark. The value of 'M' would be determined based on its position on the scale.

Without the visual representation of the decimal point or tick mark labelled 'M', it's hard to provide a precise decimal value. However, I will explain generally how to interpret decimal values. Decimal values are represented in various ways, but commonly, they follow the formatting of 'x x 10¹'. In this format, 'x' is the actual value of measurement with placeholder zeros removed, and '10¹' denotes the number of placeholder zeros in the measurement. For example, if x is 8.4 and 10¹4, you would move the decimal point 14 positions to the right, filling in placeholder zeros as you go.

Similarly, in a logarithmic scale with base 10, each mark labels a value that is 10 times the value of the mark before it. For instance, a logarithmic scale would be numbered as 0, 10, 100, 1000, etc. Hence, if 'M' were on a log base 10 scale, its value would depend on its position relative to the other marks on the scale.

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Answer:  the distance between the points R and T is 45 units.

Step-by-step explanation:  We are given to find the distance between the points R and T on the co-ordinate grid.

Distance Formula : The distance between the points (a, b) and (c, d) i given by

[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]

From the co-ordinate grid, we note that the co-ordinates of point R are (-30, 10) and the co-ordinates of point T are (15, 10).

Therefore, the distance between the points R and T is given by

[tex]D=\sqrt{(15-(-30)^2+(10-10)^2)}=\sqrt{45^2+0^2}=\sqrt{45^2}=45.[/tex]

Thus, the distance bewteen the points R and T is 45 units.

The side length of the square table is 13.64 inches.

A square is a shape in two-dimensional area which has four sides with equal length and four angles all of which are equal and is equal to 90 degrees.

Area of a square with the length of side equals 'a' is given by,

Area = a

Here it is given that area of the square table = 186

Let 'a' be the length of one side of the square table.

a² = 186

a = √186 = 13.64

Hence,  the side length of the table having an area of 186 is 13.64.

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We are required to determine if 4:18 and 2:12 are equivalent ratio

4:18 and 2:12 are not equivalent ratio

Given:

4:18 and 2:12

= 4 / 18

= 2/9

= 2 : 9

= 2 / 12

= 1 / 6

= 1 : 6

Therefore, 4:18 and 2:12 are not equivalent ratio

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Answer: C. [tex]\dfrac{4}{25}[/tex]

Step-by-step explanation:

Given : A spinner that is evenly spaced and numbered from 1 to 10. When it stopped, June spun it again.

Then both events of spinning the spinner is independent of each other.

The numbers greater than 6 on spinner = 7 , 8, 9, 10

Probability of getting a number greater than 6 on one spin =[tex]\dfrac{\text{Numbers greater than 6}}{\text{Total numbers}}[/tex]

[tex]=\dfrac{4}{10}[/tex]

Since , both vents are independent , then probability that the spinner stopped on a number greater than 6 on both spins will be :-

[tex]\dfrac{4}{10}\]times\dfrac{4}{10}=\dfrac{4}{25}[/tex]

Hence, the correct answer is Option C. [tex]\dfrac{4}{25}[/tex]

Final answer:

It will take a minimum of 20 weeks for the friend to achieve a profit of $400 from his shop, based on making a $20 profit every week without considering the initial investment.

Explanation:

To find the minimum number of weeks it will take for your friend to have a profit of $400 from his shop, we can set up an equation based on the initial investment and the weekly profit made thereafter. The friend invested $500 initially and made a $20 profit every week. To reach a profit of $400, we first need to understand that the initial investment does not count towards profit. This means all the profit comes from the weekly $20.

Let's denote the number of weeks needed to reach $400 profit as n. The profit can be calculated as $20 times n, which we want to be at least $400. Therefore, we set up the equation 20n = 400. Solving for n, we get n = 400 / 20, which simplifies to n = 20.

Thus, it will take a minimum of 20 weeks for your friend to make a profit of $400 from his shop, assuming no other costs or revenues are affecting the profit.

Answer-

10 + 20 + 40 + 80 +160

5 months

Final answer:

Fred paid $1.29 per gallon for his gas. Ronnie can estimate his gas expenses for an 11-week term by calculating the total weekly miles, determining the gallons used per week, the weekly gas cost, and then multiplying by the number of weeks. Ronnie's estimated gas cost for the term is around $66.06.

Explanation:

To calculate how much Fred paid per gallon of gas, we divide the total amount spent by the number of gallons used. Fred paid $72 and used 56 gallons of gas. To find the cost per gallon we use the formula:

Cost per gallon = Total cost \/ Number of gallons

Cost per gallon = $72 \/ 56 gallons = $1.29 per gallon

Now, let's address Ronnie's situation. We can estimate the amount of money Ronnie will spend on gas during the term by following these steps:

Calculate the total miles he will drive in a week by multiplying the round-trip distance to campus (14.2 miles) by four (the number of times he drives to campus and back in a week).

Determine how many gallons of gas he will use per week by dividing total weekly miles by his car's fuel efficiency (27 MPG).

Calculate the weekly cost of gas by multiplying the gallons of gas used per week by the current price per gallon ($2.86).

Finally, multiply the weekly gas cost by the number of weeks in the term (11 weeks) to find the total cost for the term.

Ronnie's total estimated gas costs for the term can be computed as follows:

Total weekly miles = 14.2 miles x 4 = 56.8 miles per week

Gallons of gas per week = 56.8 miles \/ 27 MPG = approximately 2.10 gallons per week

Weekly gas cost = 2.10 gallons x $2.86 = $6.006 per week

Total cost for the term = $6.006 per week x 11 weeks = $66.06 for the term

Thus, Ronnie can expect to spend around $66.06 on gas for his commute during the 11-week term.

The original price of the sofa before the 15% discount was applied was approximately $620.59.

The question is asking about finding the original price of a sofa, given its discounted price and the discount rate. In mathematics, this is a common problem within the topic of percentages.

In this case, the sofa was bought for $527, which was 15% off the original price. You want to find this original price. Let's denote the original price as x. The equation would be: 0.85 × x = $527, since 15% of the original price was deducted (100% - 15% = 85% = 0.85).

To find x (the original price), you just divide $527 by 0.85. Your result should be around $620.59. That means, the original price of the sofa was approximately $620.59 before the 15% discount.

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To determine the annual flow rate in kilometers, multiply the daily flow rate in meters by the number of days in a year and convert the result to kilometers. The glacier's flow rate is 7.3 kilometers per year.

To calculate the flow rate of a glacier in kilometers per year, we need to convert the daily flow rate to an annual rate and then from meters to kilometers.

The glacier flows at a rate of 20 meters per day. There are 365 days in a year (assuming a non-leap year). Therefore, in one year, the glacier will flow:

20 meters/day x 365 days/year = 7300 meters/year

Since 1 kilometer is equal to 1000 meters, we can convert the annual flow from meters to kilometers:

7300 meters/year x 1 kilometer/1000 meters = 7.3 kilometers/year

Thus, the flow rate of the glacier is 7.3 kilometers per year.

We start with the larger number when adding on a number line due to the commutative property in mathematics, which means the order in numbers is not important in addition. Our counting system also plays a role since it's based on increases of ten, making it easier to use the larger number as a starting point. Number lines must be scaled accurately to represent the numbers involved.

The reason we start with the larger number when adding on a number line is because it acts as a starting point and the smaller number is treated as the distance to travel along the line. This practice is based on the concept of commutative property in mathematics, which states that the order in which the numbers are added does not affect the sum. So, if you're adding 2 + 3 or 3 + 2, the result is the same.

Our counting system is based on increases of ten, also known as powers-of-ten notation. Each place in our numbering system is ten times greater than the place to its right. This makes it convenient to use the larger number as a starting point since it positions us further along the number line.

When using a number line for addition, it's key to remember that the line must be properly scaled to accurately depict the numbers involved. Regardless of whether you start with a smaller or larger number, the line should be scaled in a way that represents all your data and makes it easy to identify trends.

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Answer:

the answer is D

Step-by-step explanation:

Answer:

D.65cm2

Step-by-step explanation:

Area of the rectangle: (13) (10)= 130cm2

Area of the green triangle: 1/2 (130)=65cm2

So yes, your answer is 65cm2. Hope this helps!