find the quotient 4298 divided by 4

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.

To find 5/6 of 15, you convert the whole number 15 into a fraction (15/1) and then multiply the numerators and denominators. This results in the fraction 75/6 which simplifies to 12.5.

The subject of this question is finding 5/6 of 15. This is a simple multiplication problem that involves fractions.

To solve this, you must multiply the fraction with the whole number. The calculation is as follows:

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Final answer:

To find 5/6 of 15, multiply 5/6 by 15/1 to get 75/6, which simplifies to 25/2 or 12.5 in decimal form.

Explanation:

To find 5/6 of 15, we can approach the problem in a straightforward manner by multiplying 5/6 by 15. Here are the steps to do this:

The answer in simplest form is 25/2 or 12.5.

Answer:

24 fossil kits

Step-by-step explanation:

30 fossil kits with 8 samples in each of them would have a total of :

[tex]30*8=240[/tex]  samples

The other one has 10 samples per kit, so to have 240 samples, the number of fossil kits needed would be:

[tex]\frac{240}{10}=24[/tex]  kits

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!

Answer:

a). Volume of the smaller vase = 320 cm³

b). Surface area of the larger vase = 567 cm²

Step-by-step explanation:

When we calculate the volume of any figure we multiply it's three dimensions either length, width, height or we do the cube of the radius (r×r×r=r³).

In other words volume is a three dimensional figure and surface area is two dimensional.

Therefore, ratio of volumes of two similar structures will be the ratio of cube of one side given.

a). [tex]\frac{V_{1}}{V_{2} }=(\frac{Side 1}{Side2})^{3}[/tex]

[tex]\frac{V_{1}}{V_{2} }=(\frac{3}{2})^{3}[/tex]

[tex]\frac{1080}{V_{2} }=(\frac{3}{2})^{3}[/tex]

[tex]\frac{1080}{V_{2} }=(\frac{27}{8})[/tex]

[tex]27V_{2}=8\times 1080[/tex]

[tex]V_{2}=\frac{8640}{27}[/tex]

[tex]V_{2}=320[/tex] cm³

b). Similarly ratio of the surface area of two vase will be

[tex]\frac{A_{1}}{A_{2} }=(\frac{Side 1}{Side2})^{2}[/tex]

[tex]\frac{A_{1}}{252}=(\frac{3}{2})^{2}[/tex]

[tex]\frac{A_{1}}{252}=(\frac{9}{4})[/tex]

[tex]A_{1}=\frac{9\times 252}{4}[/tex]

[tex]A_{1}=567[/tex] cm²

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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Final answer:

To find out how many 2/3 cup servings are in a 4 cup container, divide 4 by 2/3, resulting in 6 servings.

Explanation:

The question is about determining how many 2/3 cup servings are in a 4 cup container of food. To find the answer, you divide the total amount of the container by the serving size. So, you divide 4 cups by 2/3 cup.

Calculation:

1 cup / (2/3 cup) = 3/2 servings

4 cups * (3/2 servings) = 6 servings

Therefore, you can fit 6 servings of 2/3 cup each in a 4 cup container.

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.

Answer:

The answer to this problem is 2.52.

Base of the Sail is 12 feet and Height of the Sail is 5 feet

A right triangle or right-angled triangle, or more technically an orthogonal triangle, historically known as a rectangled triangle, is a triangle with one right angle (that is, a 90-degree angle) and two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.

here, we have,

Solution:

According to the Question,

Let, Base = x and Height = y

x = 7 + y

Using the Pythagorous Theorem

a^2 + b^2 = c^2

Using the above mentioned relation

49 + y^2 + 14y + y^2 = 169

2y^2 + 14y - 120 = 0

Discriminant = 34

y = 5, -12

The length of a sail can not be negative, therefore y = 5

From the equation 1, x = 12

To learn more about Right Angle Triangle from the given link

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