Triangle PQR is transformed to similar triangle P'Q'R'.
What is the scale factor of dilation?

1 over 2
1 over 3
1 over 4
1 over 5


Please explain your work, it'd really help if I understood why that's the answer then just accepting an answer. I'm really confused so please, if you can, explain your work!

Answer: [tex]\dfrac{5}{7}[/tex] of an hour

Step-by-step explanation:

Given : It takes [tex]\dfrac{3}{7}[/tex] of an hour to paint [tex]\dfrac{3}{5}[/tex] of a room.

i.e. Time taken to paint [tex]\dfrac{3}{5}[/tex] of a room.= [tex]\dfrac{3}{7}[/tex] of an hour.

Using Unitary Method, we have

Time taken to paint one room.= [tex]\dfrac{3}{7}\times\dfrac{5}{3}[/tex] of an hour.

⇒Time taken to paint one room=[tex]\dfrac{5}{7}[/tex] of an hour.

Hence, it will take [tex]\dfrac{5}{7}[/tex] of an hour to paint one room.

To paint one full room, it takes approximately 5/7 of an hour based on the given information that it takes 3/7 of an hour to paint 3/5 of a room.

Given that,

It takes 3/7 of an hour to paint 3/5 of a room.

The task is to determine how long it takes to paint one full room.

To find out how long it takes to paint one full room,

First, calculate the amount of time required to paint one-fifth of a room. Since it takes 3/7 of an hour to paint 3/5 of a room,

Set up a proportion:

(3/7 hour) / (3/5 room) = (x hour) / (1 room)

By cross-multiplying, we get:

(3/7) (1 room) = (3/5) (x hour)

Simplifying further, we have:

3/7 = (3/5) * (x hour)

To isolate x, we divide both sides of the equation by (3/5):

(3/7) / (3/5) = x hour

This simplifies to:

(3/7) * (5/3) = x hour

15/21 = x hour

x = 5/7 hour

Therefore, it takes 5/7 of an hour to paint one full room.

To learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ3

If a teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She is buying 7 bottles of paint and  15 canvases.

Let's represent the number of bottles of paint she buys as x and the number of canvases she buys as x + 8.

The cost of the paint would be:

Cost of paint = Number of bottles of paint * Price per bottle of paint = x * $1.29

The cost of the canvases would be:

Cost of canvases = Number of canvases * Price per canvas = (x + 8) * $1.89

The total cost is the sum of the costs of paint and canvases:

Total cost = Cost of paint + Cost of canvases

we can write the equation:

Total cost = x * $1.29 + (x + 8) * $1.89 = $37.38

solve for x:

1.29x + 1.89(x + 8) = 37.38

1.29x + 1.89x + 15.12 = 37.38

3.18x + 15.12 = 37.38

3.18x = 22.26

x = 22.26 / 3.18

x ≈ 7

Therefore , she is buying approximately 7 bottles of paint and 7 + 8 = 15 canvases.

Learn more about number of items here:https://brainly.com/question/27426075

#SPJ3

Answer:

x = (2/3)h - (2/3)A

Step-by-step explanation:

You are solving for x. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS. Solve:

First, subtract 2A from both sides:

3x + 2A = 2h

3x + 2A (-2A) = 2h (-2A)

3x = 2h (-2A)

3x = 2h - 2A

Isolate the variable, x. Divide 3 from both sides.

(3x)/3 = (2h - 2A)/3

x = (2h - 2A)/3

x = (2/3)h - (2/3)A is your answer.

~

Answer:

x=2h-2A/3

Step-by-step explanation:

it's done by making x the subject in the relation

Step-by-step explanation:

(3x2 + 5x + 9)(6x - 8)

6x(3x2 + 5x + 9) - 8(3x2 + 5x + 9)

18x^3 + 30x^2 + 54 - 24x^2 - 40x - 72

18x^3 + 54x^2 -72 - 40x + 54

18x^3 + 54x^2 - 40x - 18

Answer:

18x3 + 6x2 + 14x – 72

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

since the domain makes up the x values so the x values are -1,1,-2,and 0

The domain of the relation is {-1, 1, -2, 0}

The domain of a relation refers to the set of all possible input values. In this relation, the x-values or inputs are -1, 1, -2, and 0. Therefore, the set of numbers that make up the domain in this relation is {-1, 1, -2, 0}.

https://brainly.com/question/1870288

#SPJ2

Answer:

(A)

Step-by-step explanation:

I good way to solve this is to test out each answer. We can do this by setting it equal to the expression given in the question.

Let start with (A). If [tex]x + 2y + x + 2[/tex] is equivalent to (A) then we can say

[tex]x + 2y + x + 2 = 2(x+y+1)[/tex]

And we can combine the two [tex]x[/tex]'s on the left side to make.

[tex]2x + 2y + 2 = 2(x+y +1)[/tex]

Now by expanding the right side we get

[tex]2x + 2y + 2 = 2x + 2y + 2[/tex]

which is the same thing so there are both equal!

Now lets test (B). We start off by doing the same thing as (A) except with the equation for (B)

[tex]2x + 2y + 2 = 2x + 4y + 4[/tex]

Now this doesn't look quite right, on the left side we have two [tex]y[/tex]'s but on the right we have four. This means our equation is unbalanced which means they are unequal! So it can't be (B)

So the only correct answer is (A)!

Hope this helps!

Answer: 0

Step-by-step explanation: so lets say that x is 4 so 4 + - 4 is 0

Answer:

-22

Step-by-step explanation:

When multiplying a negative number with a positive number, the answer will always be negative.

Answer:

Step-by-step explanation: Try drawing a number line with negative and positive numbers that go up to at least 11 and subtract 9 to the left where you negatives are and you'll get your answer!

The inequality representing the number of people who can fill their mugs before the carafe needs to be refilled is p ≥ 14.67. The number of people who can fill their mugs is at least 15.

To determine the inequality that represents the number of people who can fill their mugs before the carafe needs to be refilled, we need to understand the given information. The carafe holds 12 cups of coffee, and the waiter refills it when there is 1 cup or less left. Each coffee mug holds 0.75 cups of coffee. Let's represent the number of people who can fill their mugs as 'p'.

So, the inequality representing the number of people who can fill their mugs before the carafe needs to be refilled is p ≥ 14.67. Since you can't have a fraction of a person, the number of people who can fill their mugs before the carafe needs to be refilled is at least 15.

https://brainly.com/question/40505701

#SPJ1

Final answer:

The multiplication of 2 by 17 5/6 results in 214/6, which is less than 36 when compared as fractions (since 36 is 216/6). Therefore, 2 * 17 5/6 is less than 36.

Explanation:

The student asked if 2 * 17 5/6 is greater than or less than 36. To solve this, first convert 17 5/6 to an improper fraction which is (17 * 6) + 5 = 107/6. Then multiply by 2 to get:

2 * (107/6) = 214/6

To compare it to 36, you can convert 36 into a fraction with the same denominator, which would be:

36 = 216/6

Now you can see clearly:

214/6 is less than 216/6 which means that 2 * 17 5/6 is less than 36.

So, 2 * 17 5/6 is not greater than 36; it's a bit smaller than 36.

Final answer:

To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as 0.8x + 35 = -7x - 43. Solving for 'x', we find that the number is -10.

Explanation:

To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as:

0.8x + 35 = -7x - 43

To solve for 'x', we need to isolate it on one side of the equation. Let's start by moving the '-7x' term to the left side:

0.8x + 7x = -43 - 35

Combining the 'x' terms and simplifying the right side:

7.8x = -78

Dividing both sides by 7.8:

x = -10

Therefore, the number is -10.

Final answer:

The detailed answer explains how to solve an equation where 35 more than .8 times a number is equal to 43 less than the product of -7 and the number.

Explanation:

The question given is: 35 more than .8 times a number is the same as 43 less than the product of -7 and the number.

To solve this equation step by step:

Let the number be x.

Translate the given sentence into an equation: 0.8x + 35 = -7x - 43.

Solve for x by bringing all x terms to one side and the constants to the other side.

Finally, x = -5.

Answer:

The area of shaded is 72π cm² ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- The area of any circle is A = πr², where r is the radius of the circle

- The length of the radius of a circle is 1/2 the length of its diameter

- From the figure:

∵ There are two inscribed circles touch the larger circle internally

  and touch each other externally

∴ The centers of the three circles are collinear

∴ The diameter of the larger circle = the sum of the diameters of

   the two inscribed circles

∵ The radii of the inscribed circles are 4 cm and 9 cm

∵ The diameter = twice the radius

∴ The diameters of the inscribed circles are 2 × 4 = 8 cm and

  2 × 9 = 18 cm

∴ The diameter of the larger circle = 8 + 18 = 26 cm

∵ The radius of the circle = 1/2 diameter

∴ The radius of the larger circle = 1/2 × 26 = 13 cm

- The area of the shaded part is the difference between the

  area of the larger circle and the sum of the areas of the two

  inscribed circles

∵ A = πr²

∴ The area of the larger circle = π(13)² = 169π

∵ The sum of areas of the inscribed circles = π(4)² + π(9)²

∴ The sum of areas of 2 circles =16π + 81π = 97π

∵ Area of shaded = A larger circle - sum of A of 2 circles

∴ Area of shaded = 169π - 97π = 72π

* The area of shaded is 72π cm²

Without the radii of the three circles and their positions, we cannot calculate the exact area of the shaded region. Generally, the area of a circle is calculated using the formula A = πr².

Since the question doesn't provide specific measurements for the medium circle or the small circle, or their respective positions within the larger circle, it's not possible to determine the precise area of the shaded region. We would need at least the radii of the three circles and their relative positions to calculate the exact area of the shaded part.

However, in general, to find the area of a circle, we use the formula A = πr², where 'r' stands for radius.

If we had the respective radii, to calculate the shaded area, you would have to subtract the combined areas of the medium and small circles from the area of the larger circle.

https://brainly.com/question/27105717

#SPJ11

Answer:

No solution/ Not possible

Step-by-step explanation:

Let's write out the equation

4x-2+x= 2x+8+3x

First thing we should do is look and see if there are any like terms that we can combine

4x+x-2=2x+3x+8

5x-2=5x+8

Then we want to get x on one side

By adding 2 to both sides

5x=5x+10

0=10

This is false, so the answer to this is No solution

Answer:

y =1/2

Step-by-step explanation:

solve for ; y

10(1 – 2y) = -5(2Y - 1)

-10(2y-1) +5(2Y - 1) =0

(2y-1)(-10+5) = 0

-5(2y-1) =0

2y-1=0

y = 1/2

Answer:

y = 1/2

Step-by-step explanation:

1) 10(1 - 2y) = -5(2y - 1)

2) 10 - 20y = -10y + 5

3) 10y - 20y = -10 + 5

4) -10y = -5

5) y = -5/-10

6) y = 1/2

Now you have your answer. 10(1 - 2y) = -5(2y -1) is 1/2 or 0.5

Here's how to check your answer.

10(1 - 2(1/2)) = -5(2(1/2) - 1)

10(1 - 1) = -5(1 - 1)

10(0) = -5(0)

0=0

Answer:

one can of tuna is 1.66666666667$

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

The given equation is

[tex]49y-8=89[/tex]

We need to find a word problem that can represented by the given equation.

The required problem is : A water filter filters 49 ounces of water per day. The first 8 ounces of water cannot be consumed and must be dumped out. How many days will it take the water filter to produce 89 ounces of consumable water?

Let y be the number number of days it take the water filter to produce 89 ounces of consumable water.

Total water filtered in y days = 49y

The first 8 ounces of water cannot be consumed and must be dumped out.

Total consumable water filtered in y days = 49y - 8

We need to produce 89 ounces of consumable water.

[tex]49y-8=89[/tex]

Therefore, the correct option is B.

Answer:

Your answer is 24/5 or 4.8

Step-by-step explanation:

Start with the given:

2x - 4/5 = x + 4

Use the Addition Property of Equality (add 4/5 to both sides)

2x = x + 4 + 4/5

Subtraction Property of Equality (subtract x from both sides)

2x - x = 4 + 4/5

Combine Like Terms on both sides

x = 24/5

(IF you need a decimal) Divide

x = 4.8

Hope this helps.

-Que

Answer:

See explanation

Step-by-step explanation:

Enzo’s profit over the last few months:

Find the difference between given data

Dec - Jan [tex]\$900-\$500=\$400[/tex]

Jan - Feb [tex]\$500-\$x[/tex]

Feb - Mar [tex]\$x-(-\$300)=\$x+\$300[/tex]

If this sequence is arithmetic, then

[tex]\$500-\$x=\$x+\$300=\$400\\ \\\$x=\$100[/tex]

So, if the profit in February was $100, then this sequence is arithmetic sequence. In this case,

[tex]a_1=900\\ \\a_2=500\\ \\a_3=100\\ \\a_4=-300\\ \\...\\ \\d=-400[/tex]

The recursive formula is

[tex]a_n=a_{n-1}-400[/tex]

To solve the expression, remember the order of operations: convert mixed numbers to improper fractions, perform division by flipping the divisor and multiplying, then add the fractions using the least common denominator. The result is -74/15.

To solve this kind of mathematical expression in the correct order, we need to remember PEMDAS principle (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

So, 1 5/9÷(−2/3)+(−2 3/5) = -74/15 in simplest form.

https://brainly.com/question/36708146

#SPJ11

The simplified result is −74/15. Convert mixed numbers to improper fractions, perform division by multiplying by the reciprocal, and add the fractions.

To evaluate the expression [tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex] , follow these steps:

Convert mixed numbers to improper fractions:

Change the division to multiplication by the reciprocal:

Now, add the fractions:

Final answer is :

First convert mixed numbers to improper fractions, then perform division by multiplying by the reciprocal, and finally add the fractions together. This gives the final simplified result of −74/15.

Corrected question:

Evaluate. Write your answer as a fraction in simplest form.

[tex]{1 \, \frac{5}{9}[/tex] ÷ [tex]({-\frac{2}{3})[/tex] + [tex](-2 \, \frac{3}{5}\right))[/tex]

Answer:

39

Step-by-step explanation:

This weird notation just means we are going to put one equation inside the other, and then solve.

Makes more sense when you write it like this:

g ( f ( x ) )

To solve, we are going to take the 3, plug it into the f ( x )

g ( f ( 3 ) )

^ This makes it a lot easier to understand what we have to do.

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

Ok, so now we evaluate f ( x ) at 3.

4 ( 3 ) - 2

f( x ) = 10

Then we plug it into g ( x )

4 ( 10 ) - 1

= 39

Here's how it looks in total:

4 ( 4 ( 3 ) - 2 ) - 1 = 39

Slightly more complicated, but that's why i broke it down step by step.

Answer:

x= 3

Step-by-step explanation:

5x-2=13 - Add 2 to both sides which cancels out the -2 and turns 13 into 15

5x=15 - Divide 5 on both sides which cancels the 5 and leaves x=3

x=3 - Is the final answer or the solution to the problem

Final answer:

The solution to the equation 5x - 2 = 13 is x = 3. To plot this on the number line, mark a point above the horizontal line at the position corresponding to 3.

Explanation:

The solution to the equation 5x - 2 = 13 is found by first adding 2 to both sides of the equation, giving us 5x = 15. We then divide both sides by 5 to isolate x, which gives us x = 3. Therefore, the solution to the equation is x = 3.

To plot the solution on the number line, we draw a horizontal line and mark off points at equal distances. We locate the point corresponding to 3 and draw a dot or vertical line at that point, above the horizontal line because it is a positive number.

Answer:

Ray : Line NA, Line NB, Line AB

Vertex : Vertex N

Angle: Angle ANB

Parallel Lines: None

Coplanar Points: Points C, A, F, N, B

Collinear Points: Points A, N, B

Segment Addition Postulate: AN + NB = AB

Perpendicular Lines: None

Answer:

c= -1.12

Step-by-step explanation:

Answer:

3 times a number (3x)

Step-by-step explanation: replace the phrase 'a number' with the variable X. then you simply end up with 12x-9x, which equals 3x.

The difference between twelve times a number and nine times the number will be three times a number.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the difference between twelve times a number and nine times the number.

Let the number be x now the mathematical expression of the number is:-

12x - 9 x = 3x

Therefore, the difference between twelve times a number and nine times the number will be three times a number.

To know more about an expression follow

https://brainly.com/question/15874516

#SPJ2

Answer:

300000

Step-by-step explanation:

you go to the thousands place and see if it is greater than 5. yes it is. it would tell you that it would round up. then you go to the hundreds thousands place and go one number up.

Answer:

9x^2+48x+64

Step-by-step explanation:

Least to Greatest:

-7.9, -7.5, -7.05, -7/34

Answer:

The prime numbers between 15 and 24 are 17, 19, and 23.

Hello!

The key word in this is After walking 5 steps forward, Julie walked 5 steps backward

So, she walked forward 5 steps, then walked back the same steps, returning her to her starting position.

your answer is the second graph.

This graph shows what i explained: she starts at 0. goes forward 5, then back 5, returning her to 0.

I hope this helps, and have a nice day!

B

it goes forward, then back