A principal has given a class $75 to help pay for a field trip to a zoo. The students in the class are selling pies for
$5 each to earn the rest of the money they need. The field trip will cost a total of $386.
Which inequality can be used to findp, the number of pies the class needs to sell in order to earn enough money to
pay for the field trip?
A 5p+75 ≤ 386
B 5p+752 386
C 75p+52 386
D 75p+5≤ 386

Answers

Answer 1

I'd say its A because:

5x#of pies + the money the principal pitched in (75) is less than or equal to 386 dollars (their goal for the field trip).

Answer 2

The inequality equation is given by 5p + 75 ≤ 386 , where p is the number of pies the class sells

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality relation be represented as A

Let the number of pies the class sells be p

Now , the equation will be

The total amount for the field trip = $ 386

The amount given to the students = $ 75

The cost of 1 pie = $ 5

So , the cost of p pies = 5p

Now , the total amount with the students = cost of p pies + amount given to the students

Substituting the values in the equation , we get

5p + 75 ≤ 386

Therefore , the value of A is 5p + 75 ≤ 386

Hence , the inequality relation is 5p + 75 ≤ 386

To learn more about inequality equations click :

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Related Questions

A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "One-half of my cats plus seven." How many cats does the nemesis have?

Answers

Answer:

Step-by-step explanation:

You want the number of my cats when that number is "one-half of my cats plus seven".

Setup

Let the number of cats be represented by c. Then the description of the number of cats is ...

c = c/2 +7

Solution

Multiplying by 2 gives ...

2c = c +14

c = 14 . . . . . . . subtract c

The nemesis has 14 cats.

select two points that lie on the same line throught (0,0), then select an equation that describes the relationship between the coordinates x and y

Answers

Two collinear points on a line are given in the table below:

x, y

0 0 (0,0)

2 1 (2,1)

Select the points that lie on the line. and the relationship between the coordinates x and y.

(4,2)

(4, 3)

(7,2)

4/8, 2/8

Answer:

(4,2) and ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) are lie on the line, and y = [tex]\frac{1}{2}[/tex] x , is showing the relationship of x and y coordinates of given line.

Given that

The co-ordinates of line is (0,0) and (2,1).

To find

The points that lie on the line, and The relationship between the coordinates x and y.

So, according to the question

We have,

The X and Y co-ordinates of line (0,0) and (2,1).

For finding any point that lie on line, first we have to find the slope of given line,

So, we know that

slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

x₁ = 0 and x₂ = 2

y₁ = 0 and y₂ = 1

Now, putting the values, we will get

(m) = [tex]\frac{1-0}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]

m = [tex]\frac{1}{2}[/tex]

We know that, the equation of line

y-y₁ = m(x- x₁ )

y-0 = [tex]\frac{1}{2}[/tex] (x- 0)