Tell if the ratios form a proportion

If \(x = \frac{1}{r} +1\)

We have:

\(xr + 2/3 = 2r\\ < = > xr - 2r = -2/3\\ < = > (x - 2)r = -2/3\\ < = > (1/r + 1 -2) r = -2/3\\ < = > (1/r - 1)r = -2/3\\ < = > (1/r)r - (1)r = -2/3\\ < = > 1 - r = -2/3\\ < = > r = 1 + 2/3 = 5/3\)

ANSWER: r = 5/3 if x = 1/r + 1

Ok done. Thank to me :3

Therefore, Alana earns $23 for walking 23 km. Therefore, Alana walks 73.5 km if she earns $60.

An equation is a mathematical statement that shows that two expressions are equal. It usually consists of variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division. An equation can be solved to find the value of the variable that makes the statement true. Equations can be represented using symbols, such as the equals sign (=), or written out in words. Equations are used in many areas of mathematics and other fields, such as physics, engineering, and finance, to model and solve real-world problems.

Here,

To find the amount of money Alana earns for walking 23 kilometers, we can use interpolation method on the given table.

First, we need to find the interval in which 23 km falls, which is between 4 km and the unknown value x.

Next, we need to find the corresponding interval for the amount earned, which is between 7 dollars and an unknown value y.

Using the formula for interpolation, we can find the value of y as follows:

y = 7 + [(23-4)/(x-4)] * (16.5-7)

Simplifying this equation and solving for x, we get:

x = 37 km

Therefore, Alana earns $23 for walking 23 km.

To determine how far Alana walks if she earns $60, we can use extrapolation method on the given table.

First, we need to find the interval in which 60 dollars falls, which is between 16.5 dollars and an unknown value z.

Next, we need to find the corresponding interval for the distance walked, which is between 10 km and an unknown value w.

Using the formula for extrapolation, we can find the value of w as follows:

w = 10 + [(60-16.5)/(z-16.5)] * (x-10)

Simplifying this equation and solving for z, we get:

z = 73.5 dollars

Therefore, Alana walks 73.5 km if she earns $60.

It's worth noting that interpolation and extrapolation methods are approximations and may not be completely accurate.

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Answer:

I believe the answer is 60.

First, I found the sides for each of the boxes, and pictured folding the box net into a 3D shape. Next, I found out that the top of the box was the box labeled with the 10 inches. Last, I found out that the side length of that box was 6, then I multiplied to get 60.

Im sorry if this is wrong, I do not know what the surface area is.

But I really hope it helps! TYSM! ;)

Answer:the answer is 60

Answer:

The width of the new gym is

✔ 40

meters.

The length and width of the new gym are

✔ 2

times the length and width of the old gym.

Step-by-step explanation:

Answer:

A.

To express 1/2% as a decimal, you divide 1/2 by 100. You can use a fraction bar or a slash to indicate division. Like this:

1/2 ÷ 100 = 0.005

or

1/2 / 100 = 0.005

B.

To find the length that the planks are allowed to vary, you multiply the decimal value of 1/2% by the intended length of 8 feet. Like this:

0.005 · 8 = 0.04 foot

C.

To find the shortest and longest allowable planks, you subtract and add the variation length from and to the intended length of 8 feet. Like this:

Shortest: 8 - 0.04 = 7.96 feet

Longest: 8 + 0.04 = 8.04 feet

Answer:0.1x

Step-by-step explanation:

Answer:

(x, y) = (4, 11).

Step-by-step explanation:

We have two equations:

3(y-2x) = 9

x - 4 = 0

From equation 2, we have x = 4. We can substitute this value into equation 1 and solve for y:

3(y-2x) = 9

3(y-2(4)) = 9 (substitute x = 4)

3(y-8) = 9

3y - 24 = 9

3y = 33

y = 11

Therefore, the solution to the system of equations is (x, y) = (4, 11).

Answer

x=4

Step-by-step explanation:

The distance between the two points is 13 units.

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Answer:

141 in²

Obviously don't write 141 in² because they've already wrote the in² part for you

Answer:

Step-by-step explanation:

Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent

Answer: 31.4 ft

Step-by-step explanation:

you would do 10 * 3.14

10 * 3.14 = 31.4

Answer:

78.54 or 78.5

Step-by-step explanation:

Pie x r^2 = area

Pie x 5^2

Pie x 25

78.54 or 78.5 If rounded

Answer:

\( \frac{1}{2} \div \frac{3}{4} = \frac{1}{a} \times \frac{b}{c} \\ \frac{1}{2} \times \frac{4}{3} = \frac{1}{a} \times \frac{b}{c} \\ \)

So,

\(a = 2 \\ b = 4 \\ c = 3\)

And,

\( \frac{1}{2} \times \frac{4}{3} = \frac{d}{e} \\ \frac{4}{6} = \frac{d}{e} \\ \frac{2}{3} = \frac{d}{e} \)

So,

\(d = 4 \: or \: 2 \\ e = 6 \: or \: 3\)

Answer:

Step-by-step explanation:

Answer:

here you go mate

you would just plug in the formulas given to you following the hint it's:

r(n) - c(n)

which goes to

65n - (4n + 5500)

then we can simplify that to  

61n - 5500

Part 2:

61(850) - 5500

51850 - 5500 = 46350

this means if he sells 850 tickets he will make a net of 46350 dollars

Answer:

C. 19.5

Step-by-step explanation:

I'm 99.9% sure this is correct!

STOMP IF I'M WRONG!

have a good day/night!

Answer:

The integer that describes the translation from B to B' is (-2,1)

Answer:

Step-by-step explanation:

The original distance that Angel wanted to walk will be represented as A

Since we don't know the additional distance Angel walked it'll be represented as B

A= the amount of distance Angel wanted to walk

B= the amount of distance Angel wanted to walk past his/her challenge goal

C= the amount of distance Angel walked originally from to past her/his challenge goal

A+B=C

Example:

I decide to work for A hours today as a challenge. Within this time I'm working I decided to extend my goal another B hours.

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer:

the answer is A

Step-by-step explanation:

Option (C) Infinitely many solutions

Answer:

The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).

Answer:

Step-by-step explanation:

Answer:

A. 24 lap/hour.

B. r = 24h

Answer:4.58333

Step-by-step explanation:

55 inches is 4.58333 feet

Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Answer: C. 9.13 for 39 oz

Step-by-step explanation: i hope this helped have a blessed day

sorry if i am wrong

Answer:

1 1304

2 168

3 546016 is the answer

Relative minimum: The coldest temperature outside the car was -4°C.

The negative interval is: between the 110th and 170th kilometers, the outside temperature was below zero.

The increasing interval was: over the first 50 km, the temperature outside the car got warmer.

The relative minimum or maximum of a graph is:

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

A relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Thus, the relative minimum of the graph is -4°C.

The negative interval is between the 110th and 170th kilometers, the outside temperature was below zero.

The increasing interval was over the first 50 km, the temperature outside the car got warmer.

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Answer:

D

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

Answer:-27.15

Step-by-step explanation:........

Answer:

-15.65x

Step-by-step explanation:

(-0.75x-3) = -3.75x

(3.5x+8.4) =11.9 or rounded equals to 12

-3.75 - 11.90 = -15.65x