A $180.00 item is marked down by 25%

Answer:

5+10=15

15×4÷2

60÷2

=30

Answer:

sexes and breeds duh

Step-by-step explanation:

Answer:

data of the dogs

Step-by-step explanation:

Answer:

x = 0, 2

Step-by-step explanation:

Step 1: Factor out GCF

2x(x - 2) = 0

Step 2: Divide both sides by 2

x(x - 2) = 0

Step 3: Solve for roots

x = 0

x - 2 = 0

x = 2

The product of the terms   \((d - 9)\)  and  \((2d^{2} + 11d -4)\)  will be \((2d^{3} - 7d^{2} - 103d + 36)\).

We have to find the product of two terms.

First term = (d - 9)

Second term = \((2d^{2} + 11d -4)\)

To find the product of these two terms, we will be using the distributive property. According to the distributive property, when we multiply the sum of two or more addends by a number, it will give the same result as when we multiply each addend individually by the number and then add the products together.

We have to find :  \((d - 9) (2d^2 + 11d -4)\)

Using the distributive property,

\(d * 2d^{2} + d * 11 + d * (-4) - 9 * 2d^2 - 9 * 11d - 9 * (-4)\)

After further multiplication, we get

\(2d^{3} + 11d^2 - 4d - 18d^{2} - 99d + 36\)

Now, combine all the like terms.

\(2d^{3} + 11d^{2} - 18d^{2} - 4d - 99d + 36\)

\(2d^{3} - 7d^{2} - 103d + 36\)

Therefore, the product of d-9 and 2d^2 + 11d -4 is \(2d^{3} - 7d^{2} - 103d + 36\)

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To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:

Joey's Utility Function and Budget Constraint:

Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)

w: The quantity of whisky (in bottles) consumed by Joey

b: The quantity of beer (in cans) consumed by Joey

Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.

To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.

Joey's Budget Constraint:

Joey's total expenditure on drink (E) is given by: E = 2b + 6w

And we know that E = £75.

So, the budget constraint is: 2b + 6w = 75

Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.

Joey's Indifference Curve and Budget Constraint Diagram:

To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.

Jim's Utility Function and Consumption:

Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}

Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.

Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.

In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.

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The fraction of the pie left that each friend will receive is; 3/8 of the pie

Dividing two fractions is simply the same as multiplying the first fraction by the reciprocal of the second fraction.

The first step in trying to divide fractions is to find the reciprocal of the second fraction. The second step is to multiply the two numerators. Thereafter, multiply the two denominators.

For example, 3/8 divided by 3/4 would be;

3/8 divided by 3/4 = 3/8 * 4/3

Now, we are told that cedric has 3/4 of a pie left.

Now, he wants to share equally among two of his friends, it means that;

Quantity received by each friend = 3/4 ÷ 2 = 3/4 * 1/2 = 3/8

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Complete question is;

Cedric has 3/4 of a pie left. He wants to divide it between his 2 friends. How much of that pie will each friend get?

Answer:

- 4

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 1

Step-by-step explanation: 1.27 is 27 hundredths from 1, but 73 hundredths from 2. Therefore it's nearest whole number is 1.00 = 1.

$42 is the amount Zahra will save each year

How to find how much Zahra will save every year?

Given that:

Zahra does 1 load of wash per day

Hot wash & warm rinse = 71 cents per load

Warm wash & cold rinse = 25 cents per load

Right now three-fourths of all her laundry is done with the hotter water

Right now:

cost of hot wash in a year = 0.71 x 3/4 x 365 = $194.3625

cost of warm wash in a year = 0.25 x 1/4 x 365 = $22.8125

Total cost =  $194.3625 + $22.8125 = $217.175

After the cut:

cost of hot wash in a year = 0.71 x 1/2 x 365 = $129.575

cost of warm wash in a year = 0.25 x 1/2 x 365 = $45.625

Total cost =  $129.575 + $45.625 = $175.2

Savings = Total cost of right now - Total cost after the cut

Savings = $217.175 - $175.2 = $41.975 = $42

Note: we have 365 days in a year

Therefore, Zahra will save $42 every year. Option b. is the answer

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Answer:

Step-by-step explanation:

-6*p ---> -6*5=-30

23 - 25<---5*5

p is 5

-30 - (-2)=-28

The yearly insurance fee is paid for a house valued at 4,500 naira if the fee is 1/8 of it's value is 562.5.

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

Now, according to the question;

The initial value of the house is 4,500.

The insurance fee is 1/8 of 4,500.

1/8 in percentage is;

= (1/8)×100

= 12.5

Now, calculate the 12.5 of 4,500.

= (12.5×4,500)/100

= 562.5

Therefore, the insurance fee paid for the house is 562.5.

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Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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Greg needs 320 square inches of fabric to cover the cushion.

Option D is the correct answer.

We have,

To find the amount of fabric needed to cover the cushion, we need to calculate the surface area of all the faces of the cushion and add them up.

Looking at the net of the cushion, we can see that there are 6 faces in total:

A rectangle with dimensions 12 in x 7 in (top of the cushion)

A rectangle with dimensions 12 in x 7 in (bottom of the cushion)

A rectangle with dimensions 12 in x 4 in (front or back of the cushion)

A rectangle with dimensions 7 in x 4 in (left or right side of the cushion)

A rectangle with dimensions 7 in x 4 in (left or right side of the cushion)

A rectangle with dimensions 12 in x 4 in (front or back of the cushion)

To find the surface area of each face, we can use the formula for the area of a rectangle:

Area = length x width

Therefore, the surface area of each face is:

12 in x 7 in = 84 sq in

12 in x 7 in = 84 sq in

12 in x 4 in = 48 sq in

7 in x 4 in = 28 sq in

7 in x 4 in = 28 sq in

12 in x 4 in = 48 sq in

To find the total surface area, we just need to add up all the individual surface areas:

Total surface area = 84 sq in + 84 sq in + 48 sq in + 28 sq in + 28 sq in + 48 sq in

Total surface area = 320 sq in

Therefore,

Greg needs 320 square inches of fabric to cover the cushion.

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All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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Answer:

x = 25

Step-by-step explanation:

Vertical Angles tell us that they are congruent, so:

7x - 8 = 6x + 17

x - 8 = 17

x = 25

Hope this helps!

The only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let's us consider the sizes of the cloaks by C (prince), B (king), and A (emperor)

The sizes of the crowns by 1 (prince), 2 (king), and 3 (emperor).

Now let us write the following system of inequalities:

B > C

A > B

3 = C (Thutmose's crown matches Kamose's cloak)

2 > C

A > 3

A > 2 (Thutmose's crown is larger than the king size crown)

From the fifth inequality, we know that Thutmose's cloak is the largest of all three cloaks, so A must equal C.

Therefore, we can simplify the system of inequalities to:

B > C, A > B, C = 3, 2 > C, A > 3 and A > 2

Hence, the only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

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The most appropriate if-then statement that the english sentence represents is: B.  If a person is 18 years old or older, then the person can vote in Federal elections.

What is Federal Election?

Federal election can be defined as the way in which a person vote for a preferred.

For a person to be eligible to vote during election, such person must be 18 years old or older.

The if -then statement is:  If a person is 18 years old or older, then the person can vote in Federal elections.

Therefore the correct option is B.

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Answer:

y=-0.5ˣ

Step-by-step explanation:

each time the x-value is increased by one, the y-value is cut in half compared to the previous point

Answer:

y=-0.5ˣ

Step-by-step explanation:

each time the x-value is increased by one, the y-value is cut in half compared to the previous

Answer:

3/9

Step-by-step explanation:

3/9 = 0.33333333

0.333333

is a reeating decimal

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

If A is diagonalizable, then A is invertible.

This statement is false.

What is diagonalizable matrix?

If there is an invertible matrix P and a diagonal matrix D such that P^-1AP=D, or alternatively A=PDP^-1, then the square matrix A is said to be diagonalizable or non-defective in linear algebra.

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

In this case we can construct an invertible matrix P.

If A is diagonalizable, then A is invertible.

This statement is false.

It’s invertible if it doesn’t have a zero as eigen value but this doesn’t affect diagonalizabilty.

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Use the formula:

Radio= r, Height= h

V= 3.14xrx2h

r =25, h=31

V= 3.14 x 25 x 2 (31) =. 4867

V= 4867 cubic inches

Step-by-step explanation:

Answer:

good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer

The son solved 40 problems correctly out of the 60 problems he attempted.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's denote the number of problems the son solved correctly by "x".

According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.

Now,

Total earnings = 1 euro (x) - 0.5 euros (60 - x)

Simplifying this expression.

Total earnings = 1.5x - 30

We are given that the son won 30 euros in total, so we can set up the equation:

30 = 1.5x - 30

Solving for x.

1.5x = 60

x = 40

Therefore,

The son solved 40 problems correctly out of the 60 problems he attempted.

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The complete question.

A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?

The volume of the prim is 24 cubic cm and each cube represents  4/3 cm³

Volume is defined as the amount of substance that can be filled in the shape in such a way that the whole figure is complete filled with that substance. Vοlume is defined as the space οccupied within the bοundaries οf an οbject in three-dimensiοnal space. It is alsο knοwn as the capacity οf the οbject.

Here the measure the cube measure of a centimetre on one side

Length of the prim = \(1*4=4 cm\)

Breadth of the prism = \(1*2=2cm\)

Height of the prism = \(1*3=3 cm\)

So, the volume of the prism = l*b*h

Volume of the prism = \(\rm 4*3*2=24\ cm^3\)

Hence, the volume of the prism is 24 cubic cm.

There are total 18 cubes, so each cube represents= 24/18 = 4/3

Thus, each cube represents  4/3 cm³

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The car traveled a distance of 30.25 meters while braking.

When a car is brought to a full stop from an initial velocity of 22 m/s with an acceleration of -8 m/s^2, we can use the laws of motion to determine the distance traveled by the car while braking.

The relevant equation to use in this case is:

\(v^2 = u^2 + 2as\)

where v is the final velocity (which is 0, since the car comes to a full stop), u is the initial velocity (which is 22 m/s), a is the acceleration (which is \(-8 m/s^2\), since the car is decelerating), and s is the distance traveled while braking.

Substituting the given values into the equation, we get:

\(0^2 = (22 m/s)^2 + 2(-8 m/s^2)s\)

Simplifying this equation, we get:

\(0 = 484 m^2/s^2 - 16s\)

\(16s = 484 m^2/s^2\)

\(s = (484 m^2/s^2) / 16s = 30.25 m\)

Therefore, the car traveled a distance of 30.25 meters while braking.

This calculation shows that the distance traveled by the car while braking depends on the initial velocity of the car and the rate at which it decelerates. In this case, the car was traveling at a high initial velocity of 22 m/s and decelerated at a rate of -8 m/s^2, which resulted in a braking distance of 30.25 meters. If the initial velocity or the deceleration rate were different, the braking distance would also be different.

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Answer:

7. B

8. D

Step-by-step explanation:

Answer:

327 inches³

Step-by-step explanation:

Planter A volume = (14 × 3 × 4) inches

= 168 inches³

Planter B volume = (9 × 3 × 3) inches

= 31 inches³

Planter C volume = (3 × 3 × 13) inches

= 78 inches³

Total volume = (168 + 81 + 78) inches

= 327 inches³

Hope this helps and have a nice day