The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1. If PS = 14, find PR.​

Answers

Answer 1

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 =  2

              ------------

                   14

PR = PQ + QR

PR = 8 + 4

PR = 12

Answer 2

The length of the line segment PR is 12 units.

What is a line segment ?

A line segment is a subset of a line which has two endpoints.

According to the given question The points P, Q, R and S all lie on the same line segment PS and the ratio of PQ : QR: RS is equal to 4:2:1.

Assuming PQ = 4x, QR = 2x and RS = x.

We know PQ + QR + RS = PS.

∴ 4x + 2x + x = 14.

7x = 14.

x = 2.

PR = PQ + QR.

PR = 4(2) + 2(2).

PR = 8 + 4.

PR = 12.

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Related Questions

A painter paints a wall in x hours, so the fraction of the wall that she paints in 3 hours is
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Answers

Answer:

3/x

Step-by-step explanation:

1 wall - x hours

y wall - 3 hours

y = (1*3)/x=3/x

The fraction of the wall that she paints in 3 hours is 3/x.

Here,

A painter paints a wall in x hours.

We have to find, the fraction of the wall that she paints in 3 hours.

What is fraction?

A fraction simply tells us how many parts of a whole we have.

Now,

Here, A painter paints a wall in x hours

1 wall = x hours

Let number of walls is z when she paints in 3 hours.

z wall = 3 hours

Hence, The fraction of the wall that she paints in 3 hours =( 1 x 3)/x

                                                                                        = 3/x

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Evaluate u’ – 4u + 3 for u
=-3
Enter an integer or decimal number (more..]
Submit Question

Answers

You can replace u with -3 since u = -3. You should get something like this: -3 - 4(-3) + 3. This can be turned into -3 + 12 + 3, and subtracting negative numbers are the same as adding the positive version. -3 plus 12 is 9, and 9 plus 3 is 12. The final answer is 12. Hope this helps!

7:00PM For dinner, you decide to go out to eat at a restaurant with your significant other. The bill is $32.43, and you would like to leave a 20% tip for your waiter. What will the amount of the tip be and what is the final amount of your bill? Remember to round all values to the nearest cent.

Answers

Answer:

Tip amount: $6.49

Final amount of the bill: $38.92

Step-by-step explanation:

We need to calculate the tip amount which is 20% of $32.43.

Then we will add the tip amount to $32.43.

To find a percent of a number, change the percent to a decimal by dividing the percent by 100 and multiply by the number.

20% of $32.43 =

= 0.2 * $32.43

= $6.486

We round off the tip amount to the nearest cent, $6.49

The tip amount is $6.49

To find the final amount of the bill, we add the tip amount to the bill amount.

$32.43 + $6.49 = $38.92

14. 2^2+ + 5x = 5x + 50

Answers

Answer:

          x = -5   ∨   x = 5    

Step-by-step explanation:

[tex]\bold{2x^2 + 5x= 5x +50}\\\\{}\ \ -5x\qquad -5x\\\\\bold{2x^2\ =\ 50}\\\\\div2\quad\ \ \div2\\\\\bold{x^2=25}\\\\\bold{x=5\quad\vee\quad x=-5}[/tex]

convert 5 2/5 into an improper fraction ​

Answers

Step-by-step explanation:

To write 5 as a fraction with a common denominator, multiply by 55 . Combine 5 and 55 . Combine the numerators over the common denominator. Simplify the numerator.

The convert of the mixed fraction into an improper fraction is [tex]\frac{27}{25}[/tex]

Important information:The mixed fraction is [tex]5 \frac{2}{5}[/tex]

Calculation:

[tex]= 5\frac{2}{5}\\\\ = \frac{27}{25}[/tex]

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HELP ME SOMEONE PLSSS WHAT IS THE ANSWER

Answers

Answer: 3 2

Wrong 1 5 6 4

Step-by-step explanation:

Alyssa had 59 dollars to spend on 6 books. After buying them she had 11 dollars. How much did each book cost

Answers

Answer: $20
Sandy had 138 dollars to spend on 6 books. After buying them she had 18 dollars. How much did each book cost? 20 dollars.

A company increased the number of its employees from 320 to 400. What was the percent increase in employees?

Answers

Answer:

25% increase.

Step-by-step explanation:

Hello, I’m having trouble with this math problem and would appreciate it if I’d get help

Answers

Step-by-step explanation:

we have the equation

[tex]C=1.02x+153[/tex]

19. cost when x=250

[tex]C=1.02(250)+153\\\\C=408[/tex]dollars

20. what does the slope means in the context

it means the regular increase of the cost, in other words, how much is the cost increasing per mile driven

21. what does the y-intercept means in the context

it means the starting cost of only renting the car one day, not even driving it, it's the lowest cost you can get

what is the point slope form for 2x + 3y = 1,470

Answers

idkdididkdkidirkdidkdkdidkd

Simplify negative 3 over 4 divided by 2 over negative 8 .

Answers

Answer:

3/4 1/4

Step-by-step explanation:

Answer:

im pretty sure its three i did this question as well

Step-by-step explanation:

I converted each fraction into a decimal because its just eaiser for me that way and -3/4 is .75 and - 2/8 is -.25 and if you divide those you get three :)

Which statement is true about the expression 12 minus 7 + 3? The expression is equivalent to 12 minus (7 + 3) because of the associative property. The expression is equivalent to 12 + 3 + (negative 7) because of the associative property. The expression is equivalent to 12 minus 3 + 7 because of the commutative property. The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.

Answers

Answer:

The Expression is equivalent to 12+3+ negative 7

Step-by-step explanation:

When you sub tract something for example 5-3 the three can be looked at as a negative number. 5-3=2 but 5+ (-3)=2 as well

The associative property indicates that the true statement about the expression is the option;

''The expression is equivalent to 12 + 3 + (negative 7) because of the associative property''

What is the associative property?

The associative property is related to the grouping of the numbers in an operation. According to the associative property changing the grouping of numbers does not change the result of addition and multiplication.

The associative property allows us to change the grouping of the addition operation, so we can rewrite the expression as follows; (12 + 3) + (negative 7), which simplifies to 15 + (negative 7) or 8. The commutative property on the hand, allows us to change the order of the addition operation. However, with regard to the question, it is not relevant because the expression involves addition and subtraction

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A 2 level 5 factor experiment is being conducted to optimize the reliability of an electronic control module. In a full factorial experiment, how many treatment combinations will there be

Answers

Answer:

32

Step-by-step explanation:

In a full factorial experiment, there are usually 32 or 2⁵ treatments. This implies that there are usually  2 levels and 5 factors. From the description below, there is a list of the 32 treatments.

Factor A      Factor B      Factor C      Factor B      Factor E

lo                   hi                 hi                 hi                hi

hi                   low              hi                 hi                hi

hi                   hi                low               hi                hi

hi                   hi                 hi                 low             hi

hi                   hi                 hi                 hi               low

lo                   lo                 hi                 hi               hi

lo                   hi                 lo                 hi               hi

lo                   hi                 hi                 lo              hi

A die is rolled five times and a 5 or 6 is considered a success. find the probability of no. of success?

Answers

Answer:

1/3

Step-by-step explanation:

2 Look at the open number line in
Problem 1. How would you change the
numbers to show 9 + 5?

Answers

Answer:

i need the number line

Step-by-step explanation:

lol

Can someone please help me with this question

Answers

Answer:

5x+3>23

Step-by-step explanation:

x [tex]\geq[/tex]4

Can you please help me with this question and i will give you a Brain list

Answers

Answer:

- A reflection can be done on a point, shape, or object

- A reflection flips a shape across a line

Step-by-step explanation:

A reflection is a rigid transformation, meaning that the object that you are reflecting does NOT change size or shape. A reflection is when you graphically "flip" an image across a line such as the x-axis or the y-axis.

Find the midpoint of the segment with the following endpoints.
(-6, -6) and (4, -2)

Answers

(-1,-4) Just find the middle of the x coordinates, and the middle of the y coordinates.

Answer:

(-1,-4)

Step-by-step explanation:

USE A1 + A2 / 2 AND B1 + B2 / 2

A1 + A2 / 2

= (-6+4) / 2

= -2/2

= -1

B2 + B1 / 2

= (-6+(-2)) / 2

= -8 / 2

= -4

therefore, (-1,-4) is your midpoint.

1. Write the algebraic expression for:
"Three less than a number.”
X + 3
a.
b.
3 x
X - 3
c.
d.
3.x

Answers

The answer would be c. X - 3

Toss 3 dice. What's the probability that a 4 will come up exactly twice?

Answers

Answer:

[tex]\bold{\dfrac{1}{12}}[/tex]

Step-by-step explanation:

The dice is rolled 3 times.

To find:

The probability that a 4 will come up exactly twice = ?

Solution:

Let 4 comes up exactly twice, let the third number be [tex]x[/tex].

The possible outcomes can be:

([tex]x[/tex], 4, 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, [tex]x[/tex], 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, 4, [tex]x[/tex]) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18

Total number of outcomes that can be possible at roll of 3 dice:

6 [tex]\times[/tex] 6 [tex]\times[/tex] 6  = 216

Formula for probability of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}[/tex]

How do you do this question?

Answers

Answer:

9.29

Step-by-step explanation:

S₄ is the area using Simpson's rule and 4 intervals.

Simpson's rule can be calculated as:

Sᵢ = Δx/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 4f(xᵢ₋₂) + 2f(xᵢ₋₁) + f(xᵢ))

Or, Simpson's rule can be calculated as a combination of midpoint and trapezoid sums:

S₂ᵢ = (2Mᵢ + Tᵢ) / 3

Using the first method:

Δx = (4−0)/4 = 1

S₄ = 1/3 (1.00 + 4(1.41) + 2(2.24) + 4(3.16) + 4.12)

S₄ = 1/3 (27.88)

S₄ ≈ 9.29

Using the second method:

S₄ = (2M₂ + T₂) / 3

The midpoint area for 2 intervals is:

M₂ = (2) (1.41) + (2) (3.16) = 9.14

The trapezoid area for 2 intervals is:

T₂ = ½ (1.00 + 2.24) (2) + ½ (2.24 + 4.12) (2) = 9.60

Therefore:

S₄ = (2 (9.14) + 9.60) / 3

S₄ ≈ 9.29

Minimum value of C=x+3y

Answers

Answer:

  DNE

Step-by-step explanation:

If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.

If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.

We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist.

The table below shows the number of students who attend various after-school activities. After-School Activities Activity Number of Students Spanish Club 19 Basketball 24 Drama 15 Homework Help 17 Soccer 20 Which ratio compares the number of students in the Spanish club to the total number of students? a.19:95 b.20:95 c.95:24 c.95:19

Answers

Answer:

C. 95:19

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because the total number of students is 95 and those who play Spanish club is 19

Matt has two very active dogs named Theia and Odin who need to eat extra snacks to increase
their caloric intake. He uses math to figure out how much more to feed them. He tracks their
activity level to determine the increase.
The table below shows the number of treats per dog per week.
What is the average rate of change for the number of treats that Odin gets each week between
Week 1 and Week 5?
Week 2
Week 3
Week 5
Odin
Theia
Week 1
7
5
3
2.
00 00
Week 4
9
7
4
5
Week 6
5
6

Answers

Answer:

Step-by-step explanation:

That is cheating no help for you sorry

Which of the following is an odd function? f(x) = 3x2 + x f(x) = 4x3 + 7 f(x) = 5x2 + 9 f(x) = 6x3 + 2x

Answers

The odd function from the following function is f(x) = 6x³ + 2x.

What is an odd function?

The function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

f(-x) = -f(x)

The functions are given below.

f(x) = 3x² + x

f(x) = 4x³ + 7

f(x) = 5x² + 9

f(x) = 6x³ + 2x

f(x) = 3(-x)² + (-x) = 3x² - x

f(x) = 4(-x)³ + 7 = -4x³ + 7

f(x) = 5(-x)² + 9 = 5x² + 9

f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)

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Answer:

D f(x) = 6x3 + 2x

Step-by-step explanation:

4+y when y = 18 would the answer be 22

Answers

Answer:

22

Step-by-step explanation:

4+18=22 if y is solved for 18 in the equation 4+y= the answer would be 22.

Answer:

22

Step-by-step explanation:

Evaluate y + 4 where y = 18:

y + 4 = 4 + 18

Hint: | Evaluate 4 + 18 using long addition.

| 1 |  

| 1 | 8

+ | | 4

| 2 | 2:

Answer: 22

The height of a door is 1.4 feet more than 2.3 times its width. If the height of the door is 8.5 feet, which equation can be used to determine x, the width of the door.

Answers

Answer:

[tex]2.3x+1.4=8.5[/tex], width = 3.087 feet.

Step-by-step explanation:

Let as consider width of the door be x feet.

It is given that height of a door is 1.4 feet more than 2.3 times its width. So,

[tex]Height=2.3x+1.4[/tex]

The height of the door is 8.5 feet.

[tex]2.3x+1.4=8.5[/tex]

Therefore, the required equation is [tex]2.3x+1.4=8.5[/tex].

[tex]2.3x=8.5-1.4[/tex]

[tex]2.3x=7.1[/tex]

[tex]x=\dfrac{7.1}{2.3}[/tex]

[tex]x\approx 3.087[/tex]

So, the width of the door is about 3.087 feet.

Can some body please help meeeee T^T

Answers

Answer:

Till tomorrow

TT Definition / TT Means

The definition of TT is "Telegrahic Transfer" or "Till tomorrow"

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

(50-10)=40/8=5

Alkena and Hsu together earn $84,369 per year, If alkena earns $12,468 more per year than Hsu, the how much of them earn per year?

Answers

Answer:

Hsu makes $35,950.50 and Alkena makes $48,418.50

Step-by-step explanation:

Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:

a + h = 84,369

a = h + 12,468

Solve by substitution by plugging in h + 12,468 as a:

h + 12,468 + h =  84,369

2h + 12,468 = 84,369

2h = 71,901

h = 35,950.50

Plug this into the equation, a = h + 12,468 , to solve for a

a = 35,950.50 + 12,468

a = 48,418.50

So, Hsu makes $35,950.50 and Alkena makes $48,418.50

4.2(5.1x+6.8) Simplify the expression

Answers

Answer:

21.42x+28.56

Step-by-step explanation:

Expand: 4.2×5.1×x+4.2×6.8

4.2×5.1×x  to (21.42)x

Simplify: 21.42x+4.2×6.8

4.2×6.8 = 28.5628.56

21.42x+28.56

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