Elisa won 40 lollipops playing basketball at the school fair. She gave 2 to every student in her math class. she has at least 7 lollipops left. What is the maximum amount of students in her class?

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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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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Answer: The width of each section is [tex]3\frac{2}{3}\ inches[/tex] .

Step-by-step explanation:

Since we have given that

Length of a page = 11 inches

According to question, Flyers are folded into thirds before being stapled and mailed.

So, Width of each section is given by

[tex]\frac{11}{3}\\\\=3\frac{2}{3}\ inches[/tex]

Hence, the width of each section is [tex]3\frac{2}{3}\ inches[/tex] .

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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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.

Jeff ate 2/5 of the entire pumpkin pie on Saturday, calculated by multiplying 1/2 by the 4/5 which was left in the refrigerator.

The question asks what fraction of the entire pumpkin pie Jeff ate on Saturday if he left 4/5 of it in the refrigerator and then ate 1/2 of what was left. To solve this, we'll calculate the fraction of the pie he consumed using multiplication.

He started with 4/5 of the pie left. Eating 1/2 of what was left means he consumed 1/2 of 4/5, which can be calculated as:

(1/2) times (4/5) = 4/10 = 2/5

Jeff ate 2/5 of the entire pumpkin pie on Saturday.

Answer:

i know what question this is, thw answer is D, or |-10.6 = -10.6

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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Final answer:

The linear function to describe the cost of using the pencil as a function of the number of refill packs Jorge buys is C(x) = 8 + 2x, where C(x) is the total cost and x is the number of refill packs.

Explanation:

Jorge bought a mechanical pencil for $8, and each lead and eraser refill pack costs $2. To describe the cost of using the pencil as a function of the number of refill packs, we can write a linear function. The initial cost of the pencil is a fixed cost, and the cost of each refill pack is a variable cost.

Let's let x represent the number of refill packs, and C(x) represent the total cost of using the pencil. The linear function for the cost would then be:

C(x) = 8 + 2x

Here, $8 represents the fixed cost (the cost of the pencil), and $2 is the cost per refill pack, so 2x represents the variable cost (the cost of x refill packs).

Final answer:

The linear function that describes the cost of using the pencil as a function of the number of refill packs is Cost(x) = 8 + 2x.

Explanation:

To write a linear function that describes the cost of using the mechanical pencil as a function of the number of refill packs, we need to consider the initial cost of the pencil and the cost of each refill pack.

Let's assume x represents the number of refill packs.

The initial cost of the pencil is $8, which remains constant regardless of the number of refill packs.

The cost of each refill pack is $2, and it increases linearly as the number of refill packs increases.

Therefore, the linear function that describes the cost of using the pencil as a function of the number of refill packs is:

Cost(x) = 8 + 2x

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%

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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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

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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