Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure 5 inches apart. What is the scale factor used for the map?

Answer: The expression can be T(X) = X/3 + 1 where X is the number of students, and we always should round up our solution if it is not a whole number.

Step-by-step explanation:

She needs a tent for every 3 campers, and she also needs a tent for herself.

This means that if X is the number of campers, we need to have:

T(X) = X/3 + 1

this means that we divide X into groups of 3, and for each group of 3 we have one tent, plus one that we need for the camp leader.

now, if for example we have 10 campers, we will have:

T(10) = 10/3 + 1 = 3.33 + 1

So we will need to round up the number of tents to 4 + 1

Using simple interest, it is found that the rate is of 0.1205 = 12.05%.

The amount of money earned in simple interest after t years is given by:

[tex]I = Pit[/tex]

In which:

In this problem, we have that:

Then:

[tex]I = Pit[/tex]

[tex]160.67 = 2000\frac{2}{3}i[/tex]

[tex]i = \frac{160.67 \times 3}{4000}[/tex]

[tex]i = 0.1205[/tex]

The rate is of 0.1205 = 12.05%.

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The markup rate of the book is 42 which is 50%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a math book at the victor valley college bookstore originally cost $84 to purchase they sell it for $126.

The markup rate will be calculated as,

Markup price = 126 - 84

Markup price = 42

Markup price percentage = 42 / 84 = 0.5x 100= 50%

Therefore, the markup rate of the book is 42 which is 50%.

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Answer:

If it was iready it would be $85 dollars!

Step-by-step explanation:

To determine how much stone Jason will spread on each square yard, one must divide the total amount of stone, which is 3/4 ton, by the number of square yards, which is 3. The result is 1/4 ton of stone per square yard.

Jason has 3/4 ton of stone to spread equally in 3 square yards. To find out how many tons of stone will be spread in each square yard, you divide the total tons by the number of square yards. That gives you:

This calculation shows that Jason will spread 1/4 ton of stone on each square yard.

An equivalent fraction to 14/25 is 56/100, which is found by multiplying both the numerator and the denominator of the fraction by 4. This method is useful to express the fraction with a denominator of 100, illustrating its percentage form.

A fraction equivalent to 14/25, you can multiply both the numerator (top number) and the denominator (bottom number) by the same integer. As an example, if you multiply both by 4, you get 56/100, which is equivalent to 14/25. This is because the value of the fraction does not change when you multiply or divide both the numerator and the denominator by the same non-zero number. Multiplying by 4 is a standard way of expressing a fraction where the denominator equals 100. This process is useful for understanding percentages since a denominator of 100 directly shows the percentage.

Hence, An equivalent fraction to 14/25 is 56/100.

The graph that represents the equation y = 1.4x +2 is attached in the image.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

The graph that represents the equation y = 1.4x +2 can be plotted on a graph paper by choosing some arbitrary values of x.

When x = 0, y =2. x = 5 , y = 9. x = 10 , y = 16.

This can be put together as ordered pairs (x, y) as (0, 2), (5, 9), (10, 16).

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Answer:

Change of elevation =   163.

Step-by-step explanation:

Given : 134 feet below sea level to 29 feet above sea level?

To find : What is the change in elevation.

Solution : We have given

Below sea level = 134 feet .

Above sea level = 29 feet.

Change of elevation =  Above level -  below level.

We use positive sign for above level : + 29 feet.

We use negative sign for above level : -134 feet.

Change of elevation =  29  - (-134).

Change of elevation =  29 + 134).

Change of elevation =   163.

Therefore, Change of elevation =   163.

Answer:

The answer is B. a = 41%, b = 3%

The cost of the climbing, broken up into daily fees and shoe cost, totals $144. Given the total cost of $169 for climbing, shoes, and the harness, subtracting the calculated $144 from this gives a harness cost of $25.

This question is about solving a problem using simple algebra. Given that the climbing gym costs $10 per day for 6 days, that adds up to $60. The climbing shoes are also given as $84. So, we add these two to get the total cost of climbing and shoes which is $144.

The question mentions that with the harness the total is $169. Therefore, if we subtract $144 (climbing and shoes) from $169 (total cost), we would get the cost of the harness. This means subtracting $144 from $169 equals $25. So, the cost of the harness is $25.

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You can get 18 dishes from 4 and 1/2 of a carton of Dan's ice cream.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

This can be solved by the ratio and proportion approach.

Now Equate the two situations in terms of number of dishes to mass of ice cream. The solution is as follows:

Let x be the number of dishes.

Therefore,

1 dish/ 1/4 pound = x dishes/ 4+ 1/2 pounds

Solving for x;

x = 18 dishes

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By definition of squared root of numbers, The square root of fraction of numbers √49 / 144 is,

⇒ √49 / 144 = 7 / 12

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The expression with number is,

⇒ √49/144

Now, we can simplify the number as;

⇒ √49/144

⇒ √7 × 7 / 12 × 12

⇒ √7² / 12²

⇒ 7 / 12

Therefore, We get;

By definition of squared root of numbers, The square root of number √49 / 144 is,

⇒ √49 / 144 = 7 / 12

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