Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.

Answer:

2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.

Step-by-step explanation:

Answer:

9042.85 pounds

Step-by-step explanation:

12000×0.91^3

12000×0.753571

9042.85 pounds

Answer:

3p² + 15p

Step-by-step explanation:

We use distributive property to distribute 3p to each of the terms:

3p · p = 3p²

3p · 5 = 15p

3p² + 15p

Hey there!☺

\(Answer:\boxed{3p^2+15p}\)

\(Explanation:\)

\(3p(p+5)\)

Let's expand.

\(3p(p+5)\\\text{After Expanding: }3p^2+15p\)

So the answer is \(3p^2+15p\).

Hope this helps!

Two column proof is as follows

Statement                              Reason

AB ≅ CB                                Given                  

AD ≅ CD                               Given

< BAD ≅ < BCD                     Given

< ABD = < CBD                      Definition of angle bisection

AB = CB                                 Definition of equality

BD = BD                                 Reflexive property of congruence

AD = DC                                 Definition of bisection

Δ ABD = Δ CBD                     SSS postulate of congruence

This is a method of proof that consists of five parts which include

The postulate says that when the three sides of the triangles under comparison are equal then the triangles under comparison are said to be congruent.

In the figure,

AB =CB, from the given sides

BD = BD sharing common sides

AD = CD line AC was bisected by line BD

This completes the SSS proof of congruence

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Answer:

x= -1.8

Step-by-step explanation:

4x-22=9x+2(1-4x)

2(1 - 4x)

so you have to distribute

new equation

4x-22=9x+2-8x

you combine like terms on the right

9x + 2 -8

+8. +8

17x+2

new equation

4x-22=17x+2

-4x. -4x

-22=13x + 2

-2. -2

-24=13x

-24÷13= - 1.8

X= -1.8

Answer:

\(4x - 22 = 9x + 2 - 4x \\ - x = 24 \\ x = - 24\)

Answer:

Step-by-step explanation:

Given the Midpoint of UV is M(4, -6) and U(7, -9), we are to find the other coordinate V. The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

Y = y1+y2/2

Given (X,Y) = ()4, -6)

U (x1, y1) = (7, -9)

To get x2 and y2, we will substitute the given values into th formula above;

4 = (7+x2)/2

cross multiply

4*2 = 7+x2

8 = 7+x2

x2 = 8-7

x2 = 1

Similarly for y2;

-6 = (-9+y2)/2

cross multiply

-6*2 = -9+y2

-12 = -9+y2

y2 = -12+9

y2 = -3

Hence the other coordinate V(x2, y2) is (1, -3)

Answer:

8 people went

Step-by-step explanation:

A school is going to the movies. The tickets cost 4 dollars per person with a 5-dollar entry fee. If the trip costs 37 dollars, how many people went?

Answer:

The answer is B

Answer:

Option D. 82.8°

Step-by-step explanation:

From the figure attached,

By using Cosine rule in the given triangle ABC,

AC² = AB² + BC ² - 2(AB)(BC)cosB

(12)² = (8)² + (10)² - 2(8)(10)cosB

144 = 64 + 100 - 160.(cosB)

144 = 164 - 160.(cosB)

160.(cosB) = 164 - 144

cosB = \(\frac{20}{160}\)

cosB = \(\frac{1}{8}\)

B = \(\text{cos}^{-1}(0.125)\)

B = 82.82°

B ≈ 82.8°

Therefore, Option D. will be the answer.

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on Edge 2020

Answer:

This seems incomplete can you provide more information

Step-by-step explanation:

The correct answer is options B, C, D and E, that is, B. A + A⁻¹ is invertible, C. (In + A) (In + A⁻¹) = 2In + A + A⁻¹, D. A⁶ is invertible and E. (A + A⁻¹)⁹ = A⁹ + A⁻⁹.

Given below are the solutions to the provided mathematical expressions:A.  This expression is incorrect.

The correct expression should be (A + B)² = A² + 2AB + B²B.  We can see that A + A⁻¹ = A(A⁻¹) + A(A⁻¹) = I. Therefore, A + A⁻¹ is invertible.C. Given (In + A) (In + A⁻¹) = In² + InA⁻¹ + AIn + AA⁻¹ = 2In + A + A⁻¹D. If A⁶ is invertible, it means that (A⁶)⁻¹ exists. Let's assume that A⁶ is not invertible.

Therefore, we cannot find the inverse of A⁶. It means (A⁶)⁻¹ does not exist. This is contradictory. Hence A⁶ is invertible.E.  We can see that (A + A⁻¹)² = A² + A⁻² + 2I. Let's replace (A + A⁻¹)² by (A + A⁻¹) × (A + A⁻¹)⁸(A + A⁻¹)⁹= (A + A⁻¹)² × (A + A⁻¹)⁷= (A² + A⁻² + 2I) × (A + A⁻¹)⁷= A⁹ + A⁻⁹ + 9(A⁷ + A⁻⁷) + 36(A⁵ + A⁻⁵) + 84(A³ + A⁻³) + 126(A + A⁻¹) Here, we have used binomial expansion for (A + A⁻¹)⁸.F.  

If AB = BA, it means that A and B are commutative. This doesn't necessarily imply that A and B are invertible. So, option F is incorrect.Solution: In this problem, options A, B, C, D and E are provided to us, and we need to find out the correct option(s) out of them.

Hence, the correct option(s) is(are) as follows:B. A + A⁻¹ is invertibleC. (In + A) (In + A⁻¹) = 2In + A + A⁻¹D. A⁶ is invertibleE. (A + A⁻¹)⁹ = A⁹ + A⁻⁹

Thus, the correct answer is options B, C, D and E, that is, B. A + A⁻¹ is invertible, C. (In + A) (In + A⁻¹) = 2In + A + A⁻¹, D. A⁶ is invertible and E. (A + A⁻¹)⁹ = A⁹ + A⁻⁹.

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Answer:

Tell me you address right now!!!

Step-by-step explanation:

I am gonna call police for help!

Answer:

1/2 it’s like flipping a coin it can either come up heads or tails.

Step-by-step explanation:

The probability that the other child is a daughter is 1/2 or 50%.

The gender of each child is independent, and there are two equally likely outcomes for each child (male or female). Therefore, the probability of having a son is 1/2 and the probability of having a daughter is also 1/2. Since one child is already known to be a son, that does not affect the probability of the other child being a daughter. Thus, the probability of having a daughter as the other child is also 1/2 or 50%.

Therefore, the answer to the question is that the probability that the other child is a daughter is 1/2 or 50%

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Answer:

23.8/5.6=4.25

Step-by-step explanation:

Answer:

4.25

Step-by-step explanation:

\( \sf \: 23.8 / 5.6 =4.25\)

\( \sf----------------------------------\)

Answer:

Three hours

Step-by-step explanation:

If you go 30 miles per hour then after three hours you would get to 90 miles.

Answer:

\(\boxed {\tt 3 \ hours}\)

Step-by-step explanation:

Time can be calculated by dividing the distance by the speed.

\(t=\frac{d}{s}\)

where d is the distance and s is the speed.

The distance is 90 miles and the speed is 30 miles per hour.

\(d= 90 \ mi \\s= 30 \ mi/hr\)

\(t=\frac{90 \ mi}{30 \ mi/hr}\)

Divide. Note that the miles, or mi will cancel each other out.

\(t=\frac{90}{30 \ hr}\)

\(t= 3 \ hr\)

It will take 3 hours to travel 90 miles at 30 miles per hour.

A diverse workforce can provide a source of competitive advantage by suggesting goods and services that will allow the company to increase its market by catering to a broader customer base.

When an organization embraces diversity and inclusion, it brings together individuals from different backgrounds, cultures, experiences, and perspectives. This diverse pool of employees can offer unique insights and ideas that might otherwise go unnoticed, leading to innovative product development and improved customer experiences.

By having a workforce that represents a wide range of demographics, including race, ethnicity, gender, age, sexual orientation, and more, a company can better understand the needs and preferences of various customer segments. This understanding enables them to develop and market products and services that resonate with a larger audience, ultimately increasing market share and revenue.

A diverse workforce enhances creativity and problem-solving abilities within the organization. Diverse teams bring different ways of thinking and approaching challenges, fostering an environment of innovation and adaptability. This can lead to the development of groundbreaking solutions that meet the evolving demands of an increasingly diverse consumer market.

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So the value of the line integral given point scale is \(\frac{15}{16}\) -4cos6-6 .

To evaluate the line integral X signed by ideas oversee. Where C is the line segment from 2 to 36

First we find the vector determined by the two points

So ,

36 -2 = 34

Starting point is 2.

The segment can be para militarized as vitally equal to 2+3T+40 =3T 2+40 .

They belonging to close interval 0- one. Next we find the derivative of the Para militarism action y¹T= 34.

This implies the strength of y¹T = \(\sqrt{3^{2}+4^{2} }\)

= 5

Finally we calculate the integral X signed by ideas oversee which is equal to treaty sign 2+ 40×DT Over 0- one.

Now report 2+ 40 equal to you. So implies 4DT is equal to DU and when T is equal to zero.

20=U

So next this integral becomes 15×2 to 6 Juju -2 x 4.

Comes out to be 15 x 16. 0-2. Sign your deal. Now applying integration by parts.

We have 15 x 16. 0-2 cause you plus integration of causal deal Limit 2- 6.

Now we have 15/16. On applying the limits -4 cos six plus sign 6- sign too.

So therefore final answer becomes \(\frac{15}{16}\) -4cos6-6 .

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The condition imposed such that a₁X₁ + a₂X₂ +.....+ aₙXₙ is an unbiased estimator of μ must be that ∑a = 1

We are given that X₁, X₂, ... Xₙ constitute a random sample from the population with the mean μ.

This implies, E(X) = μ

Now we have another set of data here, a₁X₁ + a₂X₂ +.....+ aₙXₙ

For a₁X₁ + a₂X₂ +.....+ aₙXₙ to be an unbiased estimator of μ, we should have

E(∑aX) = μ

or, ∑a E(X) = μ

Now we already know that

E(X) = μ

Hence we get

∑a = 1

Hence condition imposed must be that ∑a = 1

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Correct Question

If X₁, X₂, ... Xₙ constitute a random sample from the population with the mean μ, what condition must be imposed on the constants a₁, a₂, ... aₙ so that a₁X₁ + a₂X₂ +.....+ aₙXₙ is an unbiased estimator of μ?

Answer:

The revenue from selling a pair of running shoes at p dollars per pair is 50,000p - p^2

Step-by-step explanation:

Here in this question, we are interested in writing an equation that represents the revenue from selling a number of shoes.

Mathematically;

Revenue = Number of shoes sold * Price of one shoe

From the question, the number of shoes sold at price P dollars is 50,000 - 40p

The price of a single pair is P dollars

So the revenue in this case will be ; p * (50,000 - 40p)

= (50,000p - 40p^2) dollars

The expression that represents the revenue in dollars is \((50000p-40p^{2} )\)

We have to find an expression  that represents the revenue in dollars

So that,

            Revenue = Number of shoes sold * Price of one shoe

It is given that the number of shoes sold at price P dollars is \((50000 - 40p)\)

and the price of a single pair is P dollars

Thus,  the revenue expression is,

                                \(= p * (50000 - 40p)\\\\=50000p-40p^{2}\)

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Answer:

y=1

x=5/2

Step-by-step explanation:

4x-9y=1

(2x+y=-5)-2

4x-9y=1

-4x-2y=10

_________

-11y=11

y=-1

4x-9y=1

4x-9(1)=1

4x=10

x=10/4

x=5/2

The interpretation of the 95% confidence interval is that we are 95% confident that the population proportion falls between 45% and 56%.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, the population parameter is a proportion, hence:

The interpretation of the 95% confidence interval is that we are 95% confident that the population proportion falls between 45% and 56%.

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An inequality which best models the situation described above is: D. 52 + 3w ≥ 90.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

In order to solve this word problem, we would assign a variable to the number of weeks and then translate the word problem into algebraic equation as follows:

Let w represent the number of weeks.

Translating the word problem into an algebraic equation, we have;

Next, we would combine the above parameters to form an algebraic equation as follows:

52 + 3w ≥ 90

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Complete Question:

Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization over the summer for 52 hours. Antonina needs to tutor after school for 3 hours per week to complete the remainder of her volunteer hours. If www is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours, which of the following inequalities best models the situation described above?

answer choices

A. 52w + 30w ≥ 90

B. 52w + 30w ≤ 90

C. 52 + 3w ≤ 90

D. 52 + 3w ≥ 90

Answer:

$7/year

Step-by-step explanation:

228-200 = 28

divide by the 4 years : 28/4= 7

Answer:

20 weeks

Step-by-step explanation:

Im great in math!!

There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

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Answer:

Number of 1 point shots = 16

Number of 2 point shots = 36

Step-by-step explanation:

Let,

x be the number of 1 point shots

y be the number of 2 point shots

According to given statement;

x + y = 52     Eqn 1

x + 2y = 88    Eqn 2

Subtracting Eqn 1 from Eqn 2

x + 2y - x - y = 88 - 52

y = 36

Putting y = 36 in Eqn 1

x + 36 = 52

x = 52 - 36

x = 16

Hence,

Number of 1 point shots = 16

Number of 2 point shots = 36

Answer:

(-3,4)   (3,4)  

Step-by-step explanation:

Down means you are dealing with the y value of the pair of points.  It also means that you are going into negative territory.

(-3 ,1 -5) and (3, 1-5)

New point

(-3 , - 4) and (3,-4)

Now if you reflect this point across the x axis, you are still changing the y value. You will go from - 4 to + 4

(-3,4)   (3,4)   <<<<< answer