A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?

Answer:

First 4 terms are a, 3a, 3^2 a and 3^3 a.

The numbers are:

4, 12, 36, 108.

Step-by-step explanation:

This is a geometric sequence and we can write it as:

a, ar, ar^2, ar^3      <---- the first 4 terms.

Here the common ratio r = 3 and the 4th term is 108 so:

a(3)^3 = 108

So the first term a =  108 / 3^3

= 108/27

= 4.

So the second number = 3*4 = 12  and 3rd is 12*3 = 36.

Answer:

The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.

Step-by-step explanation:

The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.

To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:

y - (-3) = 4(x - 2)

Now, simplify:

y + 3 = 4x - 8

Next, bring all the terms to the left side of the equation to get the standard form:

4x - y = 8 - 3

Finally, simplify the constant term:

4x - y = 5.

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Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

Step-by-step explanation:

Given

Then the sum and product of the roots are:

(i) Roots are α + 1 and β + 1, then we have:

(ii) Roots are 2 - α and 2 - β, then we have:

(iii) Roots are α² and β², then:

(iv) Roots are 1/α and 1/β, then:

(v) Roots are 2/α² and 2/β², then:

The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.

It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.

Hence, when x = 1;

5x - 4 = 5(1) - 4.

= 5 - 4

= 1.

Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.

Therefore, Choice D is correct.

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Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

I believe you answer would be $4 + $0.85t =$9.95

Answer:

7

Step-by-step explanation:

c = $0.85t+$4

$9.95 = $0.85t+$4

$9.95-$4 = $0.85t

$5.95 = $0.85t

$5.95/$0.85 = t

7 = t

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

Answer: 92 or 119

in 4 months, 2 months with 30 days per month,  2 months with 31 days per month

suppose: the number to find is X

have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122

if X is a number has 2 digits => X is xy

=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]

=> xy = 92

if X is a number has 3 digits => X is abc

we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]

because 100 ≤ abc < 122 => a = 1; b = 0 or 1

+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)

+) if a = 1, b = 1 => c = 9

=> abc = 119

=> X is 92 or 119

Step-by-step explanation:

Answer:

OK don't worry we will help you get 15 points

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

Answer:

Our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Step-by-step explanation:

When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.

In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.

Therefore, we conclude that our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

Answer:

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

Answer:

Associative property of addition

Step-by-step explanation:

yes

Answer:

it would be -18

Step-by-step explanation:

because you would divide 108 by 6 and you will get -18 each second

Answer:

(1,1) and (-2,-11) are the correct solutions

Answer:

D. (1, 1) and (-2, -11)

Step-by-step explanation:

A's answers:

Coordinates: (0, -3) and (-1, -1)

Equations when they get solved:

4(0)-3=-3 (correct)

4(-1)-3=-1 (incorrect)

B's answers:

Coordinates: (-2, -5) and (2, 5)

Equations when they get solved:

4(-2)-3=-11 (incorrect)

4(2)-3=5 (correct)

C's answers:

Coordinates: (0, 3) and (3, 9)

Equations when they get solved:

4(0)-3=-3 (incorrect)

4(3)-3=9 (correct)

D's answers:

Coordinates: (1, 1) and (-2, -11)

Equations when they get solved:

4(1)-3=1 (correct)

4(-2)-3=-11 (correct)

The fraction is 5000/3.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.

Given:

166 2/3 percent as a fraction

Now, converting it into fraction

= 500/3 x 100

= 50000/3

Hence, the fraction is 5000/3

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Answer:

18.18%

Step-by-step explanation:

Selling price of one coker = Rs.2574

If she loose 10% on one;

%loss = Cost price - Selliing price/cost price * 100

10 =Cp-2574/Cp * 100

10/100 = Cp-2574/Cp

0.1Cp = Cp-2574

0.1Cp - Cp = -2574

-0.9Cp =  -2574

Cp = 2574/0.9

Cp = Rs. 2860

Amount lost = 2860-2574 = Rs. 286

If she gains 10% on the second

%loss =Sp-Cp/Cp * 100

10 = 2574-Cp /Cp * 100

10/100 = 2574-Cp /Cp

0.1Cp = 2574-Cp

1.1Cp = 2574

Cp = 2574/1.1

Cp = Rs. 2340

Amount gained = 2340-2574 = Rs. 234

Total Loss = Amount lost - Amount gained

Total loss = 286 - 234

Total loss = Rs. 52

Total loss % = 52/286 * 100

Total loss % = 5200/286

Total loss % = 18.18%

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

9514 1404 393

Answer:

  The sequence 18

Step-by-step explanation:

After Nolan brings down a zero, the dividend Nolan will be 20, the same one he started with. So, he will get the same result he has gotten so far: the first quotient digit is 1 and the second quotient digit is 8, resulting in a new dividend of 20 (after the 0 is brought down).

The digits 18 will repeat until Nolan gets tired.

Answer:

y = [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + 5

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

Answer:

10

Step-by-step explanation:

The X is 10

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ [tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330

Answer:

The answer is most likely c.)

Step-by-step explanation:

It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.

Answer:

33 questions.

Step-by-step explanation:

Let x = 4 points questions.

Let y = 8 points questions.

Translating the word problem into an algebraic equation;

For the total number of questions;

[tex] x + y = 65[/tex] .........equation 1

For the total number of points;

[tex] 4x + 8y = 388[/tex] ..........equation 2

Given the following data;

Total number of questions = 65

Total number of points = 333

Solving the linear equation by using the substitution method;

Making x the subject in equation 1:

[tex] x = 65 - y[/tex] .......equation 3

Substituting "x" into equation 2;

[tex] 4(65 - y) + 8y = 388[/tex]

Simplifying the equation, we have;

[tex] 260 - 4y + 8y = 388[/tex]

[tex] 260 + 4y = 388[/tex]

Rearranging the equation, we have;

[tex] 4y = 388 - 260[/tex]

[tex] 4y = 128[/tex]

[tex] y = \frac {128}{4} [/tex]

y = 32 (For the 8 points question).

Substituting "y" into equation 3;

[tex] x = 65 - 32[/tex]

x = 33 (For the 4 points question).

Therefore, the number of 4 point questions on the test are 33 questions.