Please answer this question

Answer:

$3,100

Hope this helps!!

Answer:

j  -4,-3  K  -2,0  L  2,-3  M  -1,-4

Step-by-step explanation:

Step-by-step explanation:

let the 1st number be x

given,

2nd number = 10 less than 1st number = x - 10

3rd number = 2 times the 1st number = 2x

their sum = 74

a/q,

x + x - 10 + 2x = 74

after solving the equation,

→ x + x - 10 + 2x = 74

→ 4x - 10 = 74

→ 4x = 74 + 10 = 84

→ 4x = 84

→ x = 84/4 = 21

therefore,

1st number = x = 21

2nd number = 10 - x = 21 - 10 = 11

3rd number = 2x = 2 × 21 = 42

hope this answer helps you dear......take care and may u have a great day ahead!

To order the given expressions from least to greatest, we need to find the values of each expression. However, since we do not have the function p(x), we cannot find the values of p′(1), p′(3), p′(6), p′(7), p′(9), and p′(10). Therefore, we cannot order the expressions from least to greatest.

It is important to note that the sign of each expression will depend on the function p(x) and its derivative p′(x). If p′(x) is positive, then the function p(x) is increasing at that point. If p′(x) is negative, then the function p(x) is decreasing at that point. Without the function p(x), we cannot determine the sign of each expression and therefore cannot order them from least to greatest.

In conclusion, without the function p(x), we cannot order the expressions p′(1), p′(3), p′(6), p′(7), p′(9), and p′(10) from least to greatest.

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Answer:

It took 11.04 hours  by Stephanie.

Step-by-step explanation:

Concept

distance = speed*time

time = distance/time

_________________________________

Given

for Steven

time  = 10 hours

speed = 53 miles per hour

Distance for steven = 53*10 = 530 miles

_____________________________________

Now ,

as Stephanie also traveled the same distance as steven

Distance = 530 miles

speed = 48 miles per hour

time = 530/48 hour = 11.04 hours

Thus, It took 11.04 hours  by Stephanie.

In other way

since distance traveled by Steven and Stephanie are same

let time taken by Stephanie be x hours

Distance traveled by steven = Distance traveled by Stephanie

53*10 = 48*x

x = 530/48 = 11.04 hours

equation = 53*10 = 48*x

The length and the width of the rectangle are 10 inches and 6 inches respectively.

In the question, we are given that the length of a rectangle exceeds its width by 4 inches, and the area is 60 square inches.

We are asked for the length and the width of the rectangle.

We assume the width (w) of the rectangle to be x inches.

Its length (l), exceeds its width (w) by 4 inches.

Thus, its length (l) = x + 4 inches.

Now, the area can be calculated using the formula, A = l*w, where A is its area, l is its length, and w is its width.

Thus, the area = (x + 4)x = x² + 4x.

But, we are given that the area is 60 square inches.

Putting the value, we get a quadratic equation:

x² + 4x = 60.

or, x² + 4x - 60 = 0,

or, x² + 10x - 6x - 60 = 0,

or, x(x + 10) - 6(x + 10) = 0,

or, (x - 6)(x + 10) = 0.

By the zero-product rule, we get:

Either, x - 6 = 0, or, x = 6,

or, x + 10 = 0, or, x = -10, but this is not possible as the width of a rectangle cannot be negative.

Thus, the width = x = 6 inches.

The length = x + 4 = 10 inches.

Thus, the length and the width of the rectangle are 10 inches and 6 inches respectively.

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Answer:

What do uh mean?.......

Answer:

First Game: 65 points

Second Game : 65 points

Third Game : 59 points

Step-by-step explanation:

Average = sum of values/number of values

The number of values = 3, an d average = 63

63 = x/3

63 * 3 = x

189 = x

Now 189 is the sum of points over two games.

Their first two games are worth the same, so lets call that s +s = 2s

Their 3rd game is worth 6 less points than s, so s-6

let's add up all the terms:

2s + (s - 6) = 3s - 6

Solve:

3s - 6 = 189

3s = 195

s = 65

The first two games are worth 65, and the third game is worth 65 - 6 = 59.

-Chetan K

Answer:65, 65 and 59

Step-by-step explanation:

If represented by x and y, (2x+y)/3=63

So 2x+y=189

So if x=y+6

Put the value of x into the equation

2x + y = 189

2(y + 6) + y = 189

2y + 12 + y = 189

3y = 189 - 12

3y = 177

y = 177/3

y = 59

Therefore, x = y + 6 = 59 + 6 = 65

One might choose to use a box and whisker plot instead of a bar graph because A box and whisker plot shows more information than a bar graph.

Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.

Bar graphs, on the other hand does not show all the information as box plot do.

They might not show quartiles of the set.

So box plot shows more information than a bar graph.

Hence the correct option is C. A box and whisker plot shows more information than a bar graph.

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Answer:

1789

it is so easy looser

The concept of consumer surplus refers to the satisfaction that consumers get from purchasing a good or service for a price lower than their maximum willingness to pay. The difference between what they are willing to pay and what they actually pay is the consumer surplus.

Therefore, the consumer surplus that Frances gets for the iPhone she bought for $150 is $200, which means that her willingness to pay for an iPhone is $350. ($150 + $200 = $350)If Frances had bought the iPhone on sale for $100, her consumer surplus would have been $250. ($350 - $100 = $250)If the price of the iPhone had been $400, Frances would not have bought it because her willingness to pay is $350, and the price is more than that.

To summarize, Frances' willingness to pay for an iPhone is $350. If she had bought the iPhone on sale for $100, her consumer surplus would have been $250. If the price of the iPhone had been $400, her consumer surplus would have been zero because she would not have bought the iPhone.

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Answer:

for every 13 dogs, there are 25 cats.

Step-by-step explanation:

It's simple you put dog on top since it came first and then cats on bottom. I hope this help :)

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because all the other ones are equal to x < -5/3 while only B wasn't and it was x > -5/3

Answer:

This dilation from Figure ABC to Figure A'B'C' is a reduction, with a scale factor of 1/3.

Step-by-step explanation:

The points for Figure ABC are

A =(3,3)

B =(6,3)

C =(6,-3)

The points of Figure A'B'C' are

A' =(1,1)

B' =(2,1)

C' =(2,-1)

To get from (3,3) to (1,1) we have to multiply by 1/3, (6,3) to (2,1) multiply by 1/3, and so on.

Answer:

Marti

Step-by-step explanation:

Marti is farthest because it says that greg's car travels 13 feet but after two seconds he was at 30.7 away from the start line and marti was 2 feet in front but martyi goes faster because her car goes way more faster every second: (16.5 > 13) so: Greg is 30.7 + 13 x 10 = 160.7 | Marti: 2 + 16.5 x 10 = 167, So Marti wins the race and should be crowned the winner.

Justified the identity ∑i=k to n (i-1) = (n-k)(n+k-1)/2.

Suppose that k and n ≥ k are fixed positive integers. To justify the identity, we need to show that:

∑i=k to n (i-1) = (n-k)(n+k-1)/2

We can prove this identity using mathematical induction. First, let's check the base case where n=k:

∑i=k to n (i-1) = (k-1)

Substituting k=n into the right-hand side of the identity, we get:

(n-k)(n+k-1)/2 = 0

Therefore, the base case is true.

Next, assume that the identity holds for some arbitrary integer n=m, where m ≥ k. That is:

∑i=k to m (i-1) = (m-k)(m+k-1)/2

Now we need to show that the identity also holds for n=m+1:

∑i=k to m+1 (i-1) = (m+1-k)(m+1+k-1)/2

Expanding the left-hand side of the equation, we get:

∑i=k to m (i-1) + m = ∑i=k to m+1 (i-1)

Substituting the assumption from above, we get:

(m-k)(m+k-1)/2 + m = (m+1-k)(m+1+k-1)/2

Simplifying both sides of the equation, we get:

(m+1-k)(m+1+k-1)/2 = (m-k)(m+k-1)/2 + m

Multiplying both sides by 2, we get:

(m+1-k)(m+1+k-1) = (m-k)(m+k-1) + 2m

Simplifying further, we get:

(m+1)^2 - k^2 = m^2 - k^2 + 2m + 2mk - m - k

Cancelling out the k^2 terms and simplifying, we get:

2m + 2mk = 2(m+1)k

Dividing both sides by 2k, we get:

m + mk = m + 1

Therefore, the identity also holds for n=m+1. By mathematical induction, the identity holds for all n ≥ k.

Hence, we have justified the identity:

∑i=k to n (i-1) = (n-k)(n+k-1)/2.

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Answer:

x = 3

Step-by-step explanation:

First you want to divide both sides by 5 to get 2x-4 = 2.

Afterwards, you add 4 to both sides of the equation. 2x = 6

Divide both sides by 2. x = 3

The value of x = 3 is correct. Therefore, the solution is x = 3.

To solve for x in the equation 5(2x - 4) = 10, follow these steps:

Step 1: Distribute the 5 on the left side of the equation:

10x - 20 = 10

Step 2: Add 20 to both sides to isolate the term with x:

10x - 20 + 20 = 10 + 20

10x = 30

Step 3: Divide both sides by 10 to find the value of x:

x = 30 / 10

x = 3

The solution to the equation is x = 3. To verify, substitute x with 3 in the original equation:

5(2(3) - 4) = 10

5(6 - 4) = 10

5(2) = 10

10 = 10

Since both sides are equal, the value of x = 3 is correct. Therefore, the solution is x = 3.

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Answer:

Step-by-step explanation:

Let x be Sunil's age and y be his son's age.

Since Sunil is thrice as old as his son, we can write the equation x = 3y.

we could just rearrange the equation x = 3y

                                                               as x- 3y = 0

(or)

To express the equation in the form of ax + by + c = 0, need to find the values of a, b, and c.

a = 1

b = -3

c = 0

Therefore, the equation representing the statement "Sunil is thrice as old as his son" is x - 3y = 0.

Answer:

The 4th one

Step-by-step explanation:

The points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

The function f(x) is given as:

\(f(x) = -\frac 27(\frac 53)^x\)

The rule of reflection across the y-axis is:

g(x) = f(-x)

So, we have:

\(g(x) = -\frac 27(\frac 53)^{-x\)

All the points in the options are on the curve of the function g(x) except (0, -1.773)

Hence, the points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

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Answer: 1  4  6

Step-by-step explanation: its right bro.

The value of 2 divided by 3 is 0.67

From the question, we have the following parameters that can be used in our computation:

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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Answer:

almost 567 students

Step-by-step explanation:

all fruits = 23+18+34+27+18 = 120

possibility of selecting an orange as favourite fruits by one student = 34/120 = 17/60

possibility of selecting an orange as favourite fruits by 2000 students = 17/60×2000 =1700/3 = 566.6666...=567 students

The length of each side of the square is approximately 4.472 cm. To find the length of each side of the square, we can use the formula for the area of a square.

The area of Square is A = s², where A is the area and s is the length of each side.

Substituting A = 20 into the formula, we get:

20 = s²

Taking the square root of both sides, we get:

s = √(20)

Simplifying the radical, we get:

s = √(4*5)

s = 2√(5)

Therefore, the length of each side of the square is approximately 4.472 cm, rounded to three decimal places.

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Answer:

B. Both of their conclusions are incorrect.

Step-by-step explanation:

Since the contrapositive is correct but the conditional statement is false.

If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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There are 60 different ways could you choose a car and this can be determined by using arithmetic operations.

What are arithmetic operations?

For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-") Multiplication ("×") Finding the quotient in division ("÷").

Given :

A car dealership has five exterior color choices.

A car dealership has six interior color choices.

A car dealership has two model choices.

The following steps can be used to determine the different ways could you choose a car:

Multiply 5 and 6 that is multiply five exterior color choices and six interior color choices.

= 5 * 6

Multiply the above expression by 2 which is with two model choices.

= 30 * 2

Further, simplify the above expression.

= 60

Hence, There are 60 different ways could you choose a car.

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Answer:

10:30

Step-by-step explanation:

If 11:20-20 = 30 minutes= 11:00 then 11:00-30=10:30

To check,

10:30+50 = 10:80 ( 1 Hour = 60 Minutes)

80-60=20

so

11:20

Therefore they start play chess at 10:30

Answer:

x=11.25

Step-by-step explanation:

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)