2. The Biology club budgeted $200 for their pancake breakfast. Each meal costs $1.50 to prepare. Write an inequality that represents the number of meals that can be prepared without going over budget. What is the maximum number of meals that the biology club can prepare for $200? ​

a) Julie made a profit of $405.

b) the selling price of the bike was $3105.

a) To calculate the profit that Julie made, we need to determine the amount by which the selling price exceeds the cost price. The profit is given as a percentage of the cost price.

Profit = 15% of $2700

Profit = (15/100) * $2700

Profit = $405

Therefore, Julie made a profit of $405.

b) To find the selling price of the bike, we need to add the profit to the cost price. The selling price is the sum of the cost price and the profit.

Selling Price = Cost Price + Profit

Selling Price = $2700 + $405

Selling Price = $3105

Therefore, the selling price of the bike was $3105.

In summary, Julie made a profit of $405, and the selling price of the bike was $3105.

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Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

The equation of the vertical asymptote is:

x = 12

The correct option is the third one.

The vertical asymptote of the graph is at the line where the graph tends at positive infinite and negative infinite at the same time.

You can see that it happens in the right side of the graph.

You can see that it is a vertical asymptote, so it will be represented by a vertical line, these are of the form x =a.

By looking at the graph, you can see that it is located at x = 12, so that is the equation of the vertical line. The correct option is the third one.

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Answer:

perimeter = 10

area = 6.25

Step-by-step explanation:

Every square has four equal sides. If we know one side is 2.5, then all sides are 2.5.

2.5*4 = 10

To find the area of a square you multiply the height and length. Since all sides of a square are the same, you just multiply 2.5 with itself.

2.5*2.5=6.25

The probability he can hit at least 9 of 10 shots anyway is 0.0463 or 4.63%

Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.

Given\(=60\)%\(=0.60\)

n\(=10\)

Definition binomial probability:

\(P(X=k)=(n^{k} )*(P^{k} )*(1-P)^{n-k}\)

Evaluate for \(k=9\) and \(k=10\)

P\((X=9)=0.0403\)

P\((X=10)=0.0060\)

Add the corresponding probabilities:

P\((x\geq 9)=P(X=9)+P(X=10)=0.0403+0.0060=0.0463=4.63\)%

Command Ti83/84 command: binompdf(10,0.60,9)+binompdf(10,0.60,10)

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The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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Answer:

= 22.97.

Step-by-step explanation:

The value of x is 96 seconds if the amount of time you have to wait at a particular shoplift is uniformly distributed between zero and two minutes.

A percentile is a score that relates one rating to the scores of the rest of the group. It represents the proportion of scores that a given score surpassed.

We have:

x = 0

y = 120 seconds

Percentile:

= x + (y - x)p

= 0 + (120 - 0)0.8

p = 80% = 0.8

Percentile = 96 seconds

Thus, the value of x is 96 seconds if the amount of time you have to wait at a particular shoplift is uniformly distributed between zero and two minutes.

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Answer:

Step-by-step explanation:

Sample Space

off  even numbers

= {2,4,6,8,10}.

There are 5 outcomes in the sample space,

The complete factorization of 3x⁵- 75x³ is:- 3x³(x + 5)(x - 5)

How to solve factor?

To factor completely the expression 3x⁵ - 75x³, we can first factor out the greatest common factor (GCF) of the two terms, which is 3x³:

3x³(x² - 25)

Next, we can factor the expression inside the parentheses using the difference of squares formula:

3x³(x + 5)(x - 5)

Therefore, the complete factorization of 3x⁵ - 75x³ is:

3x³(x + 5)(x - 5)

We can check that this is the correct factorization by using the distributive property of multiplication and verifying that the product of the factors is equal to the original expression:

3x³(x + 5)(x - 5) = 3x³(x² - 25)

= 3x³x² - 3x³(25)

= 3x⁵ - 75x³

So the factorization is correct.

In summary, to factor completely an expression like 3x⁵ - 75x³, we should first factor out the GCF and then look for further factorization opportunities using various factorization techniques such as the difference of squares formula, the sum or difference of cubes formula, or the quadratic formula. It's important to remember to check our work by multiplying the factors back together to ensure that we get the original expression.

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Answer:

Communicative property is the third one second one is assositave  and first one is distributive

Step-by-step explanation:

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

21=8+x/2*3

Isolate x

Quick steps: 21/3=7*2=14-8=6

x=6

Answer:

p=3

Step-by-step explanation:

5 +5 =10 p÷3(4+6) =py

=p3

Answer:

She received $7.78

Step-by-step explanation:

Take the amount of produce times the price 6.5x1.88=12.22 . Then subtract 12.22 from the 20 dollars she paid for it 20-12.22=7.88. Therefore, the answer is $7.78.

The diagonal EG is a line of symmetry for rhombus EFGH

A rhombus is a quadrilateral with equal sides. Because opposite sides of a parallelogram are equal, a rhombus is a type of parallelogram in which all sides are equal.

Given rhombus EFGH

We have to prove that diagonal EG is a line of symmetry for rhombus EFGH

According to the property of the rhombus

Four sides of EFGH are equal

So EF = EH

FG =HG

Meanwhile EG =EG(common side)

So triangle EFG = triangle EHG

The diagonal EG is a line of symmetry for rhombus EFGH

Therefore the diagonal EG is a line of symmetry for rhombus EFGH

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a) The number of liters of mango juice needed is 42 liter.

b) The amount of orange juice used is 495 liter and mango juice used is 110 liter.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Ratio of orange juice to mango juice

= 9:2

Total = 9+2 = 11

a) If 189 litres of orange juice used.

9x = 189

x= 21

So, amount of mango juice used

= 21 x 2

= 42 liter

b) If total juice made was 605 liters then

9x + 2x = 605

11x = 605

x = 605 /11

x = 55

So, amount of orange juice used = 9(55) = 495 liter.

and, mango juice used = 55 x 2 = 110 liter.

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Answer: A

Step-by-step explanation:It is A because as you can see,D is -8,5 and E is -5,8.So D and E are the same but switched up.As for F it is -1,4 which is one odd and one even.If you look at A,The D and E are switched up and the F is one even one odd.

(I dont know how else to explain it but i have done this test before and it is A.)

good luck on the rest!

Answer:

2b

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

You know AB=CB because all 3 arcs are equal, therefore:

5x + 8 = 53

5x = 53 - 8

5x = 45

x = 45/5 = 9

Answer:

I dont even know man I wish I knew too

Answer:

11.25

Step-by-step explanation:

45 ÷ 4 = 11.25

Answer:11.25

Step-by-step explanation:

4 can fit into 44 11.25

Answer:

30000J or 30 KJ

Step-by-step explanation:

Formula for finding Gravitiational Potential Energy or GPE = mgh (or Wh since W = mg)

Given

W = 100N

h = 300m,

GPE = Wh = 100 x 300 = 30000J or 30 KJ

Answer:

Distribute or Die part 2: Attack of the PEMDAS!

Answer:

18x = 7.2

x =.4

Step-by-step explanation:

Let x = the weight of one box

We have 18 boxes that weigh 7.2 lbs

18x = 7.2

Divide each side by 18

18x/18 = 7.2/18

x =.4

Answer:

.4

Step-by-step explanation:

Let x represent the weight of one box.

~theLocoCoco

Answer:D

The answer is D.

Step-by-step explanation:

Like terms are only related to the variable at the end, and the variable also has to have the same exponent or it is not a like term.

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

y = -1/2(x - 3)(x - 7)

Step-by-step explanation:

we already have the x intercepts so we can first put those in our equation

y = a(x - 3)(x - 7)

then we can plug in the vertex to find what our a value is

2 = a(5 - 3)(5 - 7)

2 = a(2)(-2)

2 = -4a

a = -1/2

so your equation is

y = -1/2(x - 3)(x - 7)

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

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