5. Mr. Lee Had A Couponfor $4 Off His Pizza Order. Ifhe Paid $48 For 4 Pizzas.What Was The Regular Pricefor (2024)

Company A costs less for mileage than Company B, which can be represented by the inequality 0 ≤ m < 85 .

The parameters for the two companies are as follows:

For Company A, the initial cost is $55.

For Company B, the initial cost is $97.50.

The extra cost per mile is 20 cents.

Let us depict the overall fee for company A by C₁ and the total charge for company B by C₂, and we will obtain;

C₁ = 55 + 0.70 × m

C₂ = 97.50 + 0.20 × m

Where "m" stands for the amount of miles driven.

Therefore, the cost of Company A and Company B are the same or equal when have the following relation;

C₁ = C₂

Now we will solve the equation to find the value of m.

∴ 55 + 0.70 × m = 97.50 + 0.20 × m

0.70 × m - 0.20 × m = 97.50 - 55

0.5 × m = 42.5

m = 85

m = 85 miles is the number of miles driven for which both companies will charge the same amount.

As a result, given that Company A's initial fee is smaller than Company B's initial fee, we have;

As a result, Company A charges less than Company B for 0 miles m 85 miles.

Therefore the inequality to represent is given by: 0 ≤ m < 85

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By using the fact that all the triangles are equilateral, we will see that AB = 32 units.

What is the length of AB?

Here we have a figure made of equilateral triangles. Remember that all the sides of an equilateral triangle have the same measure.

Now we can see that FE = 16, then with that we can conclude that each segment of two consecutive vertices also measures 16 unints.

Now, we can write AB as:

AB = AD + DB

And we know that:

AD = 16 units

DB = 16 units.

Then:

AB = 16 + 16 = 32 units

That is the length of segment AB.

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Answer:$3.51

Step-by-step explanation:

$17.53 x 20% = 350.6

350.6/100 = 3.506

3.506 = $3.51

Yes, natural numbers are an example of closed under addition.

Natural numbers are closed under addition and also multiplication. The addition of two or more natural numbers results in always a natural number. while for the case of subtraction and division, natural numbers don't obey the closure property, which means dividing or subtracting two natural numbers might not give a natural number. for example, considering two numbers 5 and 7, when we add both of them the result we come up with is 12, which is also a natural number.

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Answer:

1) x=16

2) x=15

3) x=10

Step-by-step explanation:

1) Since the triangles are similar and the ratio of the sides is 1 : 2, 1/2=(3x-4)/(10x-72). Cross multiplying, we get 6x-8=10x-72.

10x-72=6x-8 |+72

10x=6x+64 |-6x

4x=64 |/4

x=16

2) Angles HGJ and KLJ are corresponding (they are equal angles).

So, 5x-2=9x-62.

5x-2=9x-62 |+62

5x+60=9x |-5x

60=4x |/4

x=15

3) If KM is a perpendicular bisector, KJ=KL.

So, 4x+9=11x-61.

4x+9=11x-61 |-4x

9=7x-61 |+61

70=7x |/7

x=10

the sum of squares of number of 6,7 and 8 is 149.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

the product of three consecutive positive integers is 8 times thier sum.

So if 1st number is x

So the sum will be x+x+1+x+2 = 3x+3

and multiply will be x(x+1)(x+2)

according to question x(x+1)(x+2) = 24(x+1)

x³+3x²+2x = 24x+24

x = 6

So all the numbers will be 6,7 and 8

Hence the sum of their square is 36+49+64= 149

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Answer: three x plus 4 y raised to the power of three

Step-by-step explanation:

The difference between is 7-4 = 3

What are volume and area?

The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.

The volume formula is what.

The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

Given that :

Cube 1 has volume = 343 cubic feet

Volume = [tex]a^{3}[/tex]

[tex]a^{3}[/tex] = 343

a = 7

Cube 2 has volume = 64 cubic feet

Volume = [tex]a^{3}[/tex]

[tex]a^{3}[/tex] = 64

a = 4

Hence the difference between is 7-4 = 3

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Answer: 0.4

Step-by-step explanation:

Two-fifths is 2/5

If you were to put this into a calculator, you would get 0.4.

If this were to come up in a non-calculator test, I would mentally multiply both the numerator and denominator by 2 to get 4/10, which you can then divide quickly to get 0.4. :)

(a) There are 10 vertical rise per step.

(b) There are 58 steps needed to climb from road level to the 2nd floor.

What is angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

(a) First to find the vertical rise per step.

x = 13 x tan(37)

x = 9.80

x ≈ 10

Hence, there are 10 vertical rise per step.

(b) Now to find number of steps needed to climb from road level to the 2nd floor.

The total elevation = 24 + 24 = 48 feet

Vertical rise of each step = 10

To convert 48 feet into inches

⇒ 48 x 12 = 576 inches

So, the number of steps = 576 / 10 = 57.6 ≈ 58

Hence, there are 58 steps needed to climb from road level to the 2nd floor.

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Answer:

(-2^6) is 64, which is positive.

Step-by-step explanation:

To write -2^6 as repeated multiplication, we can write it as (-2)(-2)(-2)(-2)(-2)*(-2). To evaluate this expression, we can compute it as follows:

(-2)(-2)(-2)(-2)(-2)(-2)

= ((-2)(-2)(-2)(-2)(-2))(-2)

= ((((-2)(-2)(-2)(-2))(-2))(-2)

= (((((-2)(-2)(-2))(-2))(-2))(-2)

= (((((-2)(-2))(-2))(-2))(-2))(-2)

= (((((-2)(-2))(-2))(-2))(-2))(-2)

= (((-2)(-2)(-2))(-2))(-2)(-2)

= (((-2)(-2)(-2))(-2))(-2)(-2)

= ((-2)(-2))(-2)(-2)(-2)(-2)

= (-2)(-2)(-2)(-2)(-2)(-2)

= 64

Therefore, the result of (-2^6) is 64, which is positive.

An apple cost $1.2 and the orange cost $1.

Is it possible to determine the cost of one apple and one orange?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, she bought 5 apples and 4 oranges for $10. This will be 5a + 4o = 10

The friend bought 5 apples and 5 oranges for $11. This will be 5a + 5o = 11

Equate the equations

5a + 4o = 10

5a + 5o = 11

Subtract

o = 1

The value of orange is $1

The value of apple will be:

5a + 4o = 10

5a + 4(1) = 10

5a + 4 = 10

Collect like terms

5a = 10 - 4

5a = 6

Divide

a = 6/5

a = 1.2

Apple cost $1.2

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The we should use ANOVA instead of several t-tests to evaluate the differences in the mean of three or more groups.

What is t test?

A t- test is a measurable test that is utilized to look at the method for two gatherings. It is many times utilized in speculation testing to decide if a cycle or treatment really meaningfully affects the number of inhabitants in interest, or whether two gatherings are not quite the same as each other.

Explain ANOVA test:

The ANOVA test permits an examination of multiple gatherings simultaneously to decide if a relationship exists between them.

According to question:

We ought to utilize ANOVA rather than a few t-tests to assess the distinctions in the mean of at least three gatherings on the grounds that without fail, we direct a t-test (between two gatherings) there is some opportunity that a Kind I blunder is being made while doing the test.

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The value of the equation 7a = 28 is a = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

7a = 28

On simplifying the equation , we get

Divide by 7 on both sides of the equation , we get

a = 28 / 7

a = 4

Therefore , the value of a is 4

Hence , The value of the equation 7a = 28 is a = 4

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Square may be defined a closed figure having four equal sides.

Within mathematics there are many figures. One of the closed figures is Square. Square is formed when four sides of equal length are enclosed to from a closed figure. It is a two dimensional figure. A square has four vertices as well as four internal angles. All the internal angles of the square are equal and have a value equal to 90°. The opposite sides of a square are equal as well as parallel to each other. The diagonals of the square are equal in length and all the diagonals of square intersect each other at an angle equal to 90°. if a square has length of its side equal to 'a', then the area of the square will be equal to a². The perimeter of the square will be equal to 4a.

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Answer:

subtract and then subtract again until you get to one answer

Answer:

x3+y3+z3=k, with k being all the numbers from one to 100

Step-by-step explanation:

your welcome, hmm i think your brain cells might have been disrupted because of all that tikt.

The product of -1.8 and = -1.8 x ?

3 more than a number = 3 + n

The product of -1.8 and 3 more than a number = -1.8(3 + n)

Is the same as 1/10 = equals (equal sign) 1/10

Full Equation: -1.8(3 + n) = 1/10

Steps to solve:

1. Divide both sides by -1.8 (or - 9/5)

(3 + n) = 1/10 x -5/9

3 + n = -5/90

2. Subtract 3 from both sides

n = -5/90 - 270/90

n = -30 5/9

Hope this helps!

The linear function (A) c(x) = 5.50 + 20.50x represents the total cost when x tickets are applied.

What is a linear function?

The term "linear function" in mathematics applies to two different but related ideas:

A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

So, c ⇒ the overall expense.

The quantity (x) of tickets

The price of one ticket without a service charge.

The fact that:

108 = 5.50 + 5z

5z = 108 - 5.50

5z = 102.5

z = 102.5/5

z = $20.5

Equating the linear function is:

c(x) = 5.50 + 20.50x

Therefore, the linear function (A) c(x) = 5.50 + 20.50x represents the total cost when x tickets are applied.

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Correct question:
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).

a c(x) = 5.50 + 20.50x

b c(x) = 5.50x + 20.50

c c(x) = 5.50 + 21.60x

d c(x) = 5.50x + 21.60

Answer:

Step-by-step explanation:

15 (poles hight) divided by 6 (mans hight) is 2.5, so you would devide 45 by 2.5, and you get 18

The domain of the function d(t) describing the Haru's journey to his friend is

0 ≤ t ≤ 2.1

How to find the domain of the graph

In the graph, the input values is the time in hours, t while the output value is distance covered, d in kilometers

The domain is controlled by the input values. considering the time used for the journey as shown in the graph. The journey started from point 0 to the end point 2.1

The maximum time is at 2.1 hours. For the minimum, this is when the journey started which is 0

The domain starts from 0, with 0 not inclusive to 2.1 with 2.1 included

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A raw score is the actual number of correct answers a person gets on a test, without any adjustment for factors such as difficulty or time. For example, if a student takes a test with 10 questions and answers 8 correctly, their raw score would be 8 out of 10.

A raw score is the actual number of correct answers a person gets on a test, without any adjustment for factors such as difficulty or time. This means that the raw score is not adjusted or changed in any way.

For example, if a student takes a test with 10 questions and answers 8 correctly, their raw score would be 8 out of 10. This means that the student answered 8 out of the 10 questions correctly, without any adjustment for difficulty or time.

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(2x + 3)5

10x+15

You distribute and simply this applies to almost everything in math.

10 is the value of d.

What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Given that One angle measure is 24°,

Another angle measure is (7d-4)°.

The angles are complementary, We need to find the value of d.

The sum of angles is 90 degrees is called as complementary angles.

24+7d-4=90

20+7d=90

Subtract 20 from both sides

7d=70

Divide both sides by 7

d=10

Hence, the value of d is 10.

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The maximum height of the projectile will be 226 feet that is, as per question, the option c.

A quadratic equation , y = ax²+bx+c (equation 1)

given, axis of symmetry is

x = [tex]\frac{b}{2a}[/tex]

As per the question:

The path of the projectile is modeled using the equation :

h(t) = -16t²+48t+190 (equation 2)

h(t) = height after t time.

comparing equation 1 and equation 2, we get

a = -16 and b = 48

further, t = [tex]\frac{48}{2(-16)}[/tex]

= [tex]\frac{48}{32}[/tex]

= 1.5sec

Substituting the found value in equation 2, we get

h(1.5) = -16(1.5)²+48(1.5)+190

h(1.5) = -36+72+190

h(1.5) = 226ft.

Thus, the maximum height of the projectile at 1.5 sec is, 226 feet.

Note that the full question is:

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190.

What is the maximum height of the projectile?

A. 82 feet

B. 190 feet

C. 226 feet

D. 250 feet

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Answer:

Step-by-step explanation:i think the answer is B

The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

What is meant by null hypothesis?

The null hypothesis, often known as H₀, is the assertion that there is no difference between two sets of data or variables under analysis, or that there is no relationship between them. Because there is no underlying causative relationship, the null hypothesis holds that any experimentally detected difference is merely the result of chance; therefore, the name "null."

We can create a z-test hypothesis by assuming that the amount of rain produced by thunderheads follows a distribution that is nearly normal:

300 acre feet is the null hypothesis for the average quantity of rain that thunderheads produce on their own without fertilizing the clouds.

Alternative Hypothesis: The amount of rain that thunderheads often produce by seeding the clouds is greater than 300 acre feet.

This test has a right tail.

So, The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

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The equation of the linear function is y = 8x - 5.

What is a linear function?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx.A linear function has one independent variable and one dependent variable.

Slope formula:

m = (y₂ - y₁) / (x₂ - x₁)

Taking first two points from the given table

m = (3 + 5) / 1 - 0

m = 8

slope m = 8

Use one slope and one point formula to find the linear equation

y - y₁ = m (x - x₁)

y + 5 = 8 (x - 0)

y = 8x - 5

Hence, the equation of the linear function is y = 8x - 5.

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