Starting from point a, find the point that would cut the line segment created by the points A (-1,4) and B (5,4) into a ratio of 3:4

Final answer:

To solve both 3/8 x 4 and 3/6 x 4, we multiply the numerator by 4 and simplify the resulting fraction if necessary, resulting in 1.5 for the first expression and 2 for the second.

Explanation:

To solve the problem 3/8 x 4 and 3/6 x 4, we need to perform multiplication of a fraction by a whole number. For the first part, we multiply the numerator (3) by the whole number (4) and keep the denominator (8) to get 12/8, which simplifies to 1 1/2 or 1.5. For the second part, we simplify the fraction 3/6 to 1/2 since both the numerator and denominator can be divided by 3. Then, again, we multiply the numerator (1) by the whole number (4) and keep the denominator (2), resulting in 4/2, which simplifies to 2.

Answer:

see the attach file

Step-by-step explanation:

if you have any question then reply me again

The area of the rectangle will be 12b⁶ + 6b³ – 18b².

Let H be the height and W be the width of the rectangle. The area of the rectangle is the product of height and width.

Then the area of the rectangle will be

Area of the rectangle = H × W square units

A rectangle has a height of 3b² and a width of 4b⁴ + 2b – 6.

Then the area of the rectangle will be

Substitute H = 3b² and W = 4b⁴ + 2b – 6. Then the area of the rectangle will be

Area of the rectangle = 3b² x (4b⁴ + 2b – 6)

Simplify the equation, we have

Area of the rectangle = 3b² · 4b⁴ + 3b² · 2b – 3b² · 6

Area of the rectangle = 12b⁶ + 6b³ – 18b²

Thus, the area of the rectangle will be 12b⁶ + 6b³ – 18b².

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Answer:

x=-7

Step-by-step explanation:

The value of x if,  Lines 1 and 2 are parallel, LINE 1: (-2,5) and (0,0) LINE 2: (x,12) and (-3,2) is -7.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

Line 1 and line 2 are parallel,

The coordinates of lines are given as,

LINE 1: (-2, 5) and (0, 0) LINE 2: (x, 12) and (-3, 2)

As we know that the slope of the parallel lines is equal,

Calculate the slope of Line 1 as shown below,

Slope = 0 - 5 / 0 - (-2)

Slope = -5 / 2

Thus, for the second line,

The slope of Line 2 = (2 - 12) / (-3 - x)

-5 / 2 = -10 / -3 - x

-5(-3 - x) = -20

15 + 5x = -20

5x = -20 - 15

x = -35 / 5

x = -7

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Answer:

50 possible codes.

Step-by-step explanation:

The first digit must be 1, 3, 5, 7 or 9. -  5 possibilities.

The second digit is one of the numbers from 0 to 9, -  10 possibilities.

So the number of possible codes = 5 * 10 = 50.

Answer:

The price per pound of apples is greater than $1.

Step-by-step explanation:

Please consider the complete question:

Three coworkers decided to buy fruit to share at lunch time. Antonii spent $1.47 on bananas.Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges.   If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1 ? how can you tell?

To find the price of apples per pound, we need to divide total amount paid by Laura ($2.88) with total pounds of apples (2.1 pounds) bought.

[tex]\text{Price of apples per pound}=\frac{\$2.88}{2.1}[/tex]

[tex]\text{Price of apples per pound}=\$1.37142857[/tex]

Since the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.

We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1. So when we will divide 2.88 by 2.1, then we will get a number greater than 1.

To find the price per pound of apples, we divide the total cost of the apples by the weight of the apples.

To determine whether the price per pound of apples is greater or less than $1, we need to divide the total cost of the apples by the weight of the apples. The question states that Laura bought 2.1 pounds of apples. To find the total cost, we can use the information given in the reference:

10 apples × 50 cents each = $5.00 spent on apples in 2001.

Dividing $5.00 by 2.1 pounds gives us the price per pound of apples Laura bought, which is approximately $2.38. Therefore, the price per pound of apples is greater than $1.

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Answer:

The number of minutes of call for long distance is 500 minutes .

Step-by-step explanation:

Given as :

The two different long distance telephones plans are plan A and Plan B

Plan A

monthly fee = $40.00

The charge per minute = $0.05

Plan B

monthly fee = $15.00

The charge per minute = $0.10

now, for both plans

Let The number of minutes of call for long distance = n minutes

So, According to question

∵ The both plans to be same

Monthly fee for plan A + The charge per minute ×  number of minutes of call for long distance for A = Monthly fee for plan B + The charge per minute ×  number of minutes of call for long distance calls for B

i.e $40.00 + $0.05 × n =  $15.00 + $0.10 × n

Or, $40.00 - $15.00 =  $0.10 × n -  $0.05 × n

Or, $25 =  $0.05 × n

∴ n = [tex]\dfrac{25}{0.05}[/tex]

I.e n = 500 minutes

So, The number of calls minutes = n = 500 minutes

Hence, The number of minutes of call for long distance is 500 minutes . Answer

Answer:

π

Step-by-step explanation:

Y= 2 sin(2X)

Analytically,

The Amplitude is 2, while the Period is 2π/2, same as π

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1, that is:

[tex]m_ {1} * m_ {2} = - 1[/tex]

So, if we have the slope [tex]m_ {1} = - \frac {1} {3}[/tex]

A perpendicular line will have a slope m_ {2}:

[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- \frac {1} {3}}\\m_ {2} = 3[/tex]

Thus, the perpendicular line will have slope [tex]m_ {2} = 3[/tex]

Answer:

The perpendicular line will have slope [tex]m_ {2} = 3[/tex]

Answer: C. Line EF.

Step-by-step explanation: Correct on edge.

Answer:

options 1, 3 and 5

=============================================

Step-by-step explanation:

The given function is [tex]f(x) = 3(\sqrt{18} )^x[/tex]

The given function is an exponential function and the graph of the function is as shown in the attached figure.

As shown in the figure:

The domain of the function is all the real numbers ⇒ R

The range of function ⇒ y > 0

The initial value will be at x = 0 ⇒ y =3

The base of the function = [tex]\sqrt{18} =\sqrt{9*2} =\sqrt{3^2 * 2} = 3\sqrt{2}[/tex]

So, the correct options will be options 1, 3 and 5

Answer:

gradient = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

Rearrange 2y - 6x = - 8 into this form

Add 6x to both sides

2y = 6x - 8 ( divide all terms by 2 )

y = 3x - 4 ← in slope- intercept form

with gradient m = 3

The right answer is Option B: 5(x+3)=12

Step-by-step explanation:

“The product of five and the sum of a number x and three is twelve”

First;

The sum of a number x and 3 = x+3

Product means multiplication,

Therefore,

Product of five and sum of a number x and three = 5(x+3)

is twelve means that the answer will be 12

5(x+3)=12

The right answer is Option B: 5(x+3)=12

Keywords: linear equation, addition

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Answer:

The right answer is Option B: 5(x+3)=12

Step-by-step explanation:

“The product of five and the sum of a number x and three is twelve”

First;

The sum of a number x and 3 = x+3

Product means multiplication,

Therefore,

Product of five and sum of a number x and three = 5(x+3)

is twelve means that the answer will be 12

5(x+3)=12

The right answer is Option B: 5(x+3)=12

Keywords: linear equation, addition

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Step-by-step explanation:

We need to find the false statement.

The first one is true (m<RPS=m<WPR because RU⊥SW).

The second statement is true because the two angles make a linear pair and are supplementary.

The third one is false because we only know that the angle pair is complimentary. Their measures are not equal.

answer: m∠SPT=m∠UPT

Answer:

Infinitely many

Step-by-step explanation:

Answer:

C. $945

Step-by-step explanation:

Cost of 1 cellular bill = (number of text msgs per day) x (cost per text msg) x (number of days in billing period)

in this case, it is given that :

cost per text msg = $0.89

number of texts per day = 22 or 23

billing cycle = 6 weeks = 6 x 7 = 42 days

hence,

Cost of 1 cellular bill = (22 or 23) x $0.89 x 42 days

if she sends 22 messages,

Cost of 1 cellular bill = (22) x $0.89 x 42 days= $822.36

if she sends 23 messages,

Cost of 1 cellular bill = (2) x $0.89 x 42 days= $859.74

if we compare thse 2 numbers that we have calculated with the choices, the closest match would be C. $945. The rest are just too far away in comparison.

Answer:

No! {-2, 1} is not a solution set to the given equation.

Step-by-step explanation:

The statement  X squared take away 2X Takeaway three equals X take away one can be written in mathematical terms as follows:

X² - 2X - 3 = X - 1

⇒ X² - 2X - 3 - X + 1 =0

⇒ X² - 3X - 2 = 0

Now, substitute x= -2 and see if the equation is satisfied.

⇒ (-2)² -3(-2) - 2 = 4 + 6 - 2

= 8 ≠ 0

So, -2 is not a solution to the equation.

Now, check for x = 1.

⇒ (1)² - 3(1) - 2 = 1 - 3 - 2

= -4 ≠ 0

⇒ x = 1 is not a solution as well.

Answer:

No Solution.

Step-by-step explanation:

4x-6y=-24

2x-3y=-6

-----------------

4x-6y=-24

-2(2x-3y)=-2(-6)

-------------------

4x-6y=-24

-4x+6y=12

----------------

0=-12

no solution

Answer:

I TRIED IT ON KHAN ITS NO SOULTIONS

Step-by-step explanation:

Good evening ,

Answer:

1. t=44°

2. none is correct

3. V=12°

Step-by-step

look at the photo below for the details.

:)

Commission earned by William is $ 45.84

Given that,

William makes a commission of 6% percent on everything he sells

He sells a computer for $764.00

To find: Commission amount of William

Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00

Commission amount of William = 6 % of $ 764.00

a % of b can be written in fraction as [tex]\frac{a}{100} \times b[/tex]

[tex]6 \% \text { of } 764=\frac{6}{100} \times 764=0.06 \times 764=45.84[/tex]

Thus commission earned by William is $ 45.84

Answer: -6.5x+4.4

Step-by-step explanation:

Answer:

−6y+13

Step-by-step explanation:

jsjsdjidedhue

Answer:

7.6875

Step-by-step explanation:

Answer:

120.35

Step-by-step explanation:

De tanque lleno de agua,se utilizan las dos quintas partes y luego los tres cuartos del resto. Si aún quedan 240 litros ¿cuántos litros tiene?

2/5- 3/4=-0.35

tienes 120 galones más el 0.35

120+0.35=120.35

que tengas un buen día!!!!!!!!!!!!!

The initial amount of water in the tank was 1600 liters.

Let's denote the initial amount of water in the tank as W.

First, two-fifths of the water are used, leaving [tex]\(\frac{3}{5}\)[/tex] of the water remaining.

[tex]\[\text{Remaining amount} = \frac{3}{5} \times W\][/tex]

Then, three-quarters of the remaining water are used, leaving \(\frac{1}{4}\) of the remaining water.

[tex]\[\text{Final amount} = \frac{1}{4} \times \left(\frac{3}{5} \times W\right)\][/tex]

According to the problem, the final amount is 240 liters:

[tex]\[\frac{1}{4} \times \left(\frac{3}{5} \times W\right) = 240\][/tex]

Now, solve for W:

[tex]\[\frac{3}{5} \times W = 240 \times 4\][/tex]

[tex]\[\frac{3}{5} \times W = 960\][/tex]

[tex]\[W = \frac{960 \times 5}{3}\][/tex]

[tex]\[W = 1600\][/tex]

So, the initial amount of water in the tank was 1600 liters.

Answer:

The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.

Step-by-step explanation:

Let's say b is the speed of the boat in still water, and c is the speed of the current.

Distance = rate × time

Going downstream:

504 = (b + c) × 14

36 = b + c

Going upstream:

504 = (b − c) × 21

24 = b − c

Two equations, two variables.  Solve with substitution or elimination.  To use elimination, add the equations together.

60 = 2b

b = 30

Plug into any equation to find c.

36 = b + c

36 = 30 + c

c = 6

The speed of the boat in still water is 30 mph, and the speed of the current is 6 mph.

The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Let the speed of the boat in still water be x and the speed of water be y.

A boat traveled 504 miles downstream and back. The trip downstream took 14 hours. Then the equation will be

x + y = 504 / 14

x + y = 36      ...1

The trip back took 21 hours. Then the equation will be

x - y = 504 / 21

x - y = 24       ...2

Add equations 1 and 2, then the value of x will be

2x = 36 + 24

2x = 60

x = 30 miles per hour

Then the value of y will be

30 - y = 24

y = 6 miles per hour

The speed of the boat in still water will be 30 miles per hour and the speed of the current will be 6 miles per hour.

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Answer:

its definitely A, because it is some number to the power of 4

Step-by-step explanation:

Answer:230

Step-by-step explanation:

To get to 100% you need to do 20% 5 times so if 46 people is 20% 46x5 will give you 100% of people surveyed

Answer:

The answer is A

Step-by-step explanation:

The answer is A because a circle is a circle and it doesn't have any sides and it's a bunch of points that are the same distance from each other creating a circle like object.

Hope this helps :))

Option A is the correct answer that is a collection of all points in a plane that are the same distance from a given point.

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.

The circle is also defined as the collection of all points in a plane that are the same distance from a given point.

Therefore Option A is the correct answer that is a collection of all points in a plane that are the same distance from a given point.

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Answer:

18.18%

Step-by-step explanation:

Cross-multiply

11 years ------------ 100% of life

2 years ------------- x% of life

11/2 = 100/x ===> 11x = 2*100 ===> 11x = 200 ===> x = 200/11 ===> x = 18.18%

The first five terms of sequence is 4.5, -27, 162, -972, 5832

Solution:

Given that we have to find first five terms of recursive sequence

Given sequence is:

[tex]a_n = -6a_{n - 1}[/tex]

To find first five terms, substitute n = 2, 3, 4, 5

First term is given = [tex]a_1[/tex] = 4.5

Find second term:

Substitute n = 2 in given sequence

[tex]a_2 = -6a_{2 - 1}\\\\a_2 = -6a_1\\\\a_2 = -6(4.5) = -27[/tex]

Thus second term of given sequence is -27

Find third term:

Substitute n = 3 in given sequence

[tex]a_3 = -6a_{3-1}\\\\a_3 = -6a_2\\\\a_3 = -6(-27) = 162[/tex]

Thus third term of given sequence is 162

Find fourth term:

Substitute n = 4 in given sequence

[tex]a_4 = -6a_{4-1}\\\\a_4 = -6a_3\\\\a_4 = -6(162) = -972[/tex]

Thus fourth term of given sequence is -972

Find fifth term:

Substitute n = 5 in given sequence

[tex]a_5 = -6a_{5-1}\\\\a_5 = -6a_4\\\\a_5 = -6(-972) = 5832[/tex]

Thus the first five terms of sequence is 4.5, -27, 162, -972, 5832

Answer:

33 2/3 %    (33.33%)

Step-by-step explanation:

Fraction = x/y

After decrease: (x - .5) / (y-.25)

Simplify :      .5x / .75y

                       = 2/3          

1 - 2/3 = 1/3 = .33 = 33 1/3 %

Hope this helps