The length of a piece of wire is 5/6 the length of a rope. The length of a piece of string is 1/4 the length of the rope. The length of the piece of string is 4.5 centimeters. Find the ratio of the length of the piece of wire to the length of the rope to the length of the piece of string.
Show your solution.

Answer:

second

Step-by-step explanation:

substitute y=6 and x=1 in the given relations and see if works

y=2x will be 6 = 2*1 false

y=x+5 will be 6 = 1+5 true

because this is true check all the other y and x and if all true is good

7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good

y=2x+1 will be 6=2*1+1 false

y=3x+1 will be 6=3*1+1 false

Answer: Aₙ = 3*Aₙ₋₁ - 12

Step-by-step explanation:

Here our terms will be denoted as:

Aₙ

Where this is the n-th term of the sequence.

Now we have that the recurrence relation is defined by:

"by multiplying the prior term by 3 and subtracting 12."

Then we will have that:

Aₙ = 3*Aₙ₋₁ - 12

That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)

p(x) = (2x² - 9x + 7)(x - 2)

2x² - 9x + 7 = 0 or x - 2 = 0

x = 2

a = 2, b = -9, c = 7

Delta = (-9)² - 4 * 2 * 7 = 81 - 56 = 25

x = (-(-9) - 5)/(2 * 2) = 4/4 = 1

x = (-(-9) + 5)/(2 * 2) = 14/4 = 3,75

Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

The proof of the quadratic equation is represented by the equation 18(m₂)² = 18(m₂)²

Quadratic equations are second-order polynomial equations and they have the form y = ax² + bx + c or y = a(x - h)² + k

The quadratic equation is given as

ax² + bx + c = 0

From the question, we understand that

One of the roots is twice the other

This means that

m₁ = 2m₂

Where m₁ and m₂ are the roots of the quadratic equation

The quadratic equation is then represented as

(x - m₁) * (x - m₂) = 0

Substitute m₁ = 2m₂ in the equation (x - x₁) * (x - x₂) = 0

So, we have

(x - 2m₂) * (x - m₂) = 0

Expand the brackets

So, we have

x² - 2xm₂ - xm₂ + 2(m₂)² = 0

Evaluate the sum and the difference.

So, we have

x² - 3xm₂ + 2(m2)² = 0

In the above equation, we have

a = 1

b = -3m2

c = 2(m₂)²

Recall that

2b² = 9ac

So, we have

2 * (-3m₂)² = 9 * 1 * 2(m₂)²

Evaluate

18(m₂)² = 18(m₂)²

The above equation is true

Hence, it is true that if one root of the equation ax² + bx + c = 0 is twice the other, then 2b² = 9ac

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Part A: Daiane was known to have sold 5 boxes.

Part B: Manuel as known to have sold  sold 4 boxes.

Part C: Daiane sold a total of =  $40 while  Manuel sold a total of $40.

From the question, take the number of boxes Daiane sold as 'x'.

Note that she sells each box for $8, Hence the total dollar amount she sold is  8x.

Also take the number of boxes Manuel sold is 'y' because he sells each box for $10, so the total dollar amount he sold is = 10y.

Since  the total dollar amount Diane sold is equal to the total dollar amount Manuel sold. the equation will bw:

8x = 10y

Then one can  simplify the equation, by  dividing both sides by the greatest common divisor (GCD) of 8 and 10, that is 2:

(8x)/2 = (10y)/2

4x = 5y

So the possible solution is that

x = 5

y = 4.

So one can say that:

Part A: Daiane sold 5 boxes.

Part B: Manuel sold 4 boxes.

Part C: Daiane sold a total of :

= 8 x  5

= $40

Manuel sold a total of :

= 10 x  4

= $40

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Diane  sells boxes of cookies for $8 each. Manuel sells boxes of cookies for $10 each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible. Answer the following questions.

Part A : How many boxes did Daiane sell?

Part B : How many boxes did Manuel Sell?

Part C : What was the dollar amount each of them sold?

Answer:

9

Step-by-step explanation:

The numerator of 9/10 is 9

Numerator is the top number, and denominator is the bottom one

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

How to find equivalent fractions?

Two fractions are equivalent when they are both equal when written in the lowest terms. The fraction 18/ 20  is equal to 9/ 10   when reduced to the lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (9/ 10 ) by the same integer number, i.e., multiply by 2, 3, 4, 5, 6 ...

18/ 20  is equivalent to 9/ 10  because 9 x 2 = 18 and 10 x 2 = 20

27/ 30  is equivalent to 9/ 10   because 9 x 3 = 27 and 10 x 3 = 30

36/ 40  is equivalent to 9/ 10  because 9 x 4 = 36 and 10 x 4 = 40

and so on ...

At a glance, equivalent fractions look different, but if you reduce then to the lowest terms you will get the same value showing that they are equivalent. If a given fraction is not reduced to lowest terms, you can find other equivalent fractions by dividing both numerator and denominator by the same number.

What is an equivalent fraction? How to know if two fractions are equivalent?

Finding equivalent fractions can be ease if you use this rule:

Equivalent fractions definition: two fractions a/ b  and c/ d   are equivalent only if the product (multiplication) of the numerator (a) of the first fraction and the denominator (d) of the other fraction is equal to the product of the denominator (b) of the first fraction and the numerator (c) of the other fraction.

In other words, if you cross-multiply (a/ b  and c/ d ) the equality will remain, i.e, a.d = b.c. So, here are some examples:

18 /20  is equivalent to 9 /10  because 18 x 10 = 20 x 9 = 180

27/ 30  is equivalent to 9/ 10  because 27 x 10 = 30 x 9 = 270

36/ 40   is equivalent to 9/ 10  because 36 x 10 = 40 x 9 = 360

Step-by-step explanation:

1/64  1/32  1/16   1/8    1/4  1/2  Decimal   mm

1/64                            0.015625        0.397

2/64 1/32                   0.03125        0.794

3/64                    0.046875         1.191

4/64 2/32 1/16          0.0625         1.588

5/64                   0.078125          1.984

6/64 3/32          0.09375          2.381

7/64                   0.109375          2.778

8/64 4/32 2/16      1/8       0.125                  3.175

9/64                    0.140625           3.572

10/64 5/32           0.15625         3.969

11/64                    0.171875           4.366

12/64 6/32 3/16          0.1875           4.763

13/64                   0.203125          5.159

14/64 7/32          0.21875          5.556

15/64                   0.234375           5.953

16/64 8/32 4/16   2/8   1/4        0.25                    6.35

17/64                   0.265625           6.747

18/64 9/32           0.28125            7.144

19/64                    0.296875            7.541

20/64 10/32 5/16          0.3125           7.938

21/64                   0.328125          8.334

22/64 11/32          0.34375           8.731

Answer:

The missing reason for the shown argument is subtraction.

Step-by-step explanation:

Answer:

\(30\)

Step-by-step explanation:

\(x = 2 \\ y = 3 \\ \\ 5xy \\ 5 \times x \times y \\ 5 \times 2 \times 3 \\ = 30\)

Answer:

X = 26

Step-by-step explanation:

triangle = 180 degrees

180 - (25+112) = 43

X + 17 = 43

43 - 17 = 26

x = 26

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

7/16

Step-by-step explanation:

Answer:

14/32 = 7/16

Step-by-step explanation:

You divide each number by two

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given:

The sides QU = 140 m, US = 115 m, TU = 104.55 m

As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,

QU / QS = TU / RS

140 / 140 + 115 = 104.55 / RS

140 / 255 = 104.55 \ RS

RS = 104.55 × 255 / 140

RS = 190.43 or 200 m

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Answer: 190.43m

Step-by-step explanation:

In Photo

Answer:A. x= .100

Step-by-step explanation:because of the distance in miles

Refer to the attached image.

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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Answer:

the answer is c,Yes, because the ratios for each input and output are equivalent.

Step-by-step explanation:

Answer:

The diagonals bisect each other.

Step-by-step explanation:

Not all diagonals of a parallelogram are equal.

The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.

The diagonals of a parallelogram bisect each other.

The diagonals of a parallelogram are only perpendicular when it is a square.

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

the answer is c square root 52

Step-by-step explanation:

just got a 100

The distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

The distance formula is used to measure the distance between the two points on a coordinate plane.

Let the two coordinate  point on a coordinate plane is (\(x_1,y_1\)) and (\(x_2,y_2\)). Thus, the distance between these two can be given as,

\(d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).

Here, each grid line on the coordinate plane represents 1 mile.

Using the distance formula for these point, the distance from Beth’s house to the coffee shop can be given as,

\(d=\sqrt{(4-(-2)^2)+(3-(-1))^2}\\d=\sqrt{6)^2+(4)^2}\\d=\sqrt{36+16}\\d=\sqrt{52}\)

Hence, the distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

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Answer:

x=5

Step-by-step explanation:

2(x-2)=6

2x-4=6

2x=10

x=5

The Amount after one year is $5,483.288.

We have,

P = 5300

R= 3.4%

T= 365 days

As, the formula for compound interest is

A = P( 1 +r/n\()^{nt\)

A = 5300 ( 1 +3.4%/365\()^{365\)

A= 5300 ( 1 +0.034/365\()^{365\)

A = 5300 x 1.03458270988

A= $5,483.288

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Hello,

x = departure's sallary

x*1,1*0,9 = 0,99x

the net change in my salary is 1%

Answer:

Step-by-step explanation:

1,7 are same side exterior

1,8 alternate exterior

2,4 none

3,5 same side int

2,6 corrosponding

4,6 same side int

4,7 is none

5,4 alternate int

8,5 vertical

8,7 alternate exterior

Answer:

can u put the entire problem so i can help? :)

Step-by-step explanation:

Question:

Kenia spent 270$ on 6 chairs to find out how much she spent on each chair she did the following work in long division.

045

6  /  270

− 0    

 27  

− 24  

  30

−  30

   0

Did she do the problem correctly? Why or why not?

Multiple choice answers:

A. No, because there is a remainder of 0.

B. Yes, she worked the problem correctly.

C. No, because the first digit in the quotient should be 5, not 4.

D. No, because the problem should be 270 / 6.

Answer:

B. Yes, she worked the problem correctly.

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

-0.61

Step-by-step explanation:

0.55/2=0.275

Read 0.275 from normal distribution tables

Gives -0.61

Answer:

The correct option is A. Parallel line.