The longer side of a golden rectangle has length of 13. In order to find the length of the shorter side, divide 13 by what

Answer:

c

Step-by-step explanation:

c

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.

given

Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).

m(call time) + b = credit

The function produces a line with a slope of -0.14 when graphed.

After 43 minutes of calls, the card's balance is $26.02 left.

After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04

credit?

C(32) = -0.14(32) + 32.04\sC(32) = $27.56

After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.

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Answer:

consecutive exterior angles

Step-by-step explanation:

Answer:

48.5 us cups

Step-by-step explanation:

Answer:

48 cups 4 fluid ounces. (us)

Step-by-step explanation:

If a function is non-linear, there must be an exponent in the equation. For example,  \(x^{2}\) or  \(x^{3\\}\).

Since this function has no exponent attached to the x-variable, we can assume this function is linear.

Based on the on the equation given: 9x + y = 12

The y-intercept will be 12.

To determine the x-intercept, we set y equal to zero and solve for x.

9x + 0 = 12

9x = 12 ⇒ divide both sides by 9

x = 1.333

Therfore, the x-intercept will be 1.33

Answer:

C = 290

Step-by-step explanation:

Solve for C

c = 900 - 610

c = 290

Answer:

942.50

Step-by-step explanation:

725×30% or 0.3 = 217.5

217.5+725=942.5

Answer:

Your answer is 6.4 kilograms :D

Step-by-step explanation:

Answer:

6.4 kilograms

Step-by-step explanation:

weight converter

X = 31, Y = 63 satisfy the case of 0 ≤ Y < 100 as an expression.

An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.

Assume Kaimi was supposed to be paid X dollars Y cents (0 ≤ Y ≤ 100)

But the teller gave him Y dollars X cents.

Thus kaimi has 100Y + X cents.

A nickel is worth 5 cents.

Hence, after buying the piece of candy for a nickel, Kaimi would be left with 100Y + X - 5 cents.

This is twice his paycheck:

⇒ 100Y + X - 5 = 2(100X + Y)

⇒ 100Y + X - 5 = 200X + 2Y

⇒ 98Y - 199X = 5

199 = 98 × 2 + 3 ⇒ 3 = 199 - 98 × 2

98 = 3 × 32 + 2 ⇒ 2 = 98 - 3 × 32

3 = 2 × 1 + 1 ⇒ 1 = 3 - 2 × 1

2 = 1 × 2 + 0 ⇒ ged(199, 98) = 1

1 = 3 - 2 × 1

= 3 - (98 - 3 × 32) × 1                [∵ 2 = 98 - 3 × 32]

= 3 - 98 × 1 + 3 × 32

= 3 × 33 - 98 × 1

= (199 - 98 × 2) × 33 - 98 × 1    [∵ 3 = 199 - 98 × 2]

= 199 × 33 - 98 × 67

⇒ 1 = 199 × 33 - 98 × 67

⇒ 5(1) = 5 (199 × 33 - 98 × 67)

⇒ 5 = 199(165) - 98(335)         [∵ 5 ×33 = 165, 5 × 67 = 335]

⇒ 199(165) - 98(335) = 5

⇒ 98(-335) - 199(-165) = 5

Hence, (X,Y) = (-165, -335) is a solution to 98Y - 199X = 5

But it is required that 0 ≤ Y < 100

Now since it is the difference of two quantities, 98Y and 199X, that is a constant, 5, either both of these quantities will increase simultaneously or both will decrease simultaneously.

Hence, either both X, Y will increase or both, X, Y will decrease.

To bring Y = -335 in the range of 0 ≤ Y < 100, it needs to be increased.

Hence, both X, Y will increase.

X will increase by the absolute value of the coefficient of Y and vice-versa. Hence, X will increase by 98 and Y will increased by 199 to give

(X, Y) = (-165 + 98, -335 +199) = (-67, -136)

Still, it is not the case that 0 ≤ Y < 100

Hence, again X will increase by 98 and Y will increase by 199 to give

(X, Y) = (-67 +98, -136 +199) = (31, 63)

Now, it is the case that 0 ≤ Y = 63 < 100

∴ X = 31, Y = 63

Note that the increasing X again by 98 and Y by 199 will violate

0 ≤ Y < 100. Hence, this is the unique solution.

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Answer:

A. 74.62

B. 92.89

Step-by-step explanation:

Multiply the cost of US dollars by 0.72.

Answer:

C 120 degrees

Step-by-step explanation: 3 times 4 equals 12 so if 4 peices are eaten then there is only 2/3 left so theres only 240 degrees left of the pizza so we take 360 minus 240 we get 120 so there is 120 degrees of pizza eaten by johnson.

Answer: $52.50

Step-by-step explanation:

Since there are four children, to find the cost do the equation $5+(1.25x3)=8.75. That'll be the total for 1 hour for 4 kids. Now you have to multiply that equation by 6. (8.75x6) and that'll be the total. You'll get $52.50.

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

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The triangle that has been shown is a scalene obtuse triangle.

A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.

A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.

Thus we have a scalene obtuse triangle.

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The order for the extra materials that are ordered by the man will be between 17.31 ft² and 23.08 ft².

From the information, the man is ordering new tile for her kitchen floor the area of the floor is 115.4 ft.² and wants to order between 15% and 20% extra of the material.

It should be noted that 15% of the material will be:

= 15% × 115.4

= 17.31 ft²

It should be noted that 20% of the material will be:

= 20% × 115.4

= 23.08 ft²

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Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

Answer:

I am assuming 80.

Step-by-step explanation:

I need a photo of the exact thing

Answer:

Step-by-step explanation:

8 ft it broke into

Answer:

10000 litres

Step-by-step explanation:

using proportion

if 7000 litres equals 42 minutes

then, x litres equals 60 minutes

x = (60×7000)÷ 42

x = 10000 litres

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

Step-by-step explanation:

8-2=6

answer is 6

Answer:

2 x 4

Step-by-step explanation:

She need to travel 4 times before she reach the same points again

Answer:

Step-by-step explanation:

68

The percentage of her commutes will be between 50 and 58 minutes is 68%.

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule that states that almost all observed data for a normal distribution will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

Given: mean=54, standard deviation =4 min

The Empirical says,

mean-standard deviation= 54-4=50

mean - standard deviation= 54+4= 58.

Now,

P(\(\mu\)-6 ≤ X ≤  \(\mu\) +6) ≈0.68

Hence, percentage of her commutes will be between 50 and 58 minutes is 68%.

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer: x=5, y = 2

Step-by-step explanation: screenshots

Answer:

Step-by-step explanation:

We can set up the linear equation as follows:

Let x represent the number of adults and y represent the number of students. Then, we have the following equations:

20x + 10y = 12,000 (total ticket sales)

x + y = 740 (total attendees)

We can solve for x as follows:

20x + 10y = 12,000

20x = 12,000 - 10y

x = (12,000 - 10y) / 20

Substituting this value for x into the second equation, we get:

(12,000 - 10y) / 20 + y = 740

y = 740 - (12,000 / 20)

Now we have two equations:

x = (12,000 - 10y) / 20

y = 740 - (12,000 / 20)

We can solve for x as follows:

x = (12,000 - 10y) / 20

x = (12,000 / 20) - (5y / 2)

x = 600 - 2.5y

Now we have two equations in the two unknowns x and y:

600 - 2.5y = (12,000 - 10y) / 20

2.5y = 11,990 / 20

y = 4,798

Substituting this value for y into the first equation, we get:

600 - 2.5(4,798) = (12,000 - 10(4,798)) / 20

600 - 11,990 = (12,000 - 47,990) / 20

-11,390 = -35,990 / 20

-11,390 = 1,469.5 / 2

-11,390 = 734.75

734

Answer:

H= 40-17

H= 53

Therefore, h=23

Answer:

h=23

Step-by-step explanation:

Since h plus 17 is equal to 40, h needs to be a number that adds to 17 to get 40. Therefore, you can subtract 17 from 40 to get 23. If you add it into the equation you get 23+17=40 which is correct.

Call the unknown number X.

Understand:

I am looking for an unknown number that I'll call x. From the problem:

5 times the number X minus 25= 175

Plan:

I will write an equation to reflect what we know/understand.

5x - 25 = 175

Solve:

5x - 25 = 175

5x = 200

Divide both sides by 5

x = 40

Answer:

The number is 40.

Check:

Let's go back to the original problem written on the slide and check our work.

Twenty five less than five times a number is 175.

25 less than 5*40 is 175.

25 less than 200 is 175.

200-25 =175.

So my answer is correct.

5x - 25 = 175

5*40-25 = 175

200-25 = 175

175 = 175

Again, my answer is correct.

On solving the provided question we can say that As a result, the matrix following provides a foundation for V': { [1, 1, 0] }

A matrix is a collection of numbers that are organised in rows and columns. Learns about matrix elements and dimensions and introduces them for the first time. A matrix is a rectangular grid of numbers in rows and columns. Matrix A, for example, has two rows and three columns. Its name is derived from its single row and 1 n row matrix order. For example, A = [1 2 4 5] is a row matrix of order 1 by 4. Another example of a row matrix is P = [-4 -21 -17] of order 1-by-cubic.

To identify a basis for the R3 subspace V' spanned by the vector v = [1, 1, 0], we must first determine a set of linearly independent vectors that span V'.

One option is to row-reduce the augmented matrix [v|0] using the Gaussian elimination method, where 0 is the zero vector in R3.

[1 1 0 | 0]

[1 1 0 | 0]

[0 0 0 | 0]

This demonstrates that the vector v = [1, 1, 0] spans an R3 one-dimensional subspace, implying that any nonzero scalar multiple of v is also in V'.

As a result, a basis for V' is the set v, which consists solely of the vector v itself.

As a result, the following provides a foundation for V':

{ [1, 1, 0] }

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Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

The geometric sequence 128,32,8,2 has a common ratio

The recursive definition of the geometric sequence is \(a_n = 4a_{n-1}\) where a1 = 128

The geometric sequence is given as:

128,32,8,2

Start by calculating the common ratio (r)

\(r = \frac{a_{n}}{a_{n-1}}\)

Substitute 2 for n

\(r = \frac{a_2}{a_1}\)

Substitute known values

\(r = \frac{128}{32}\)

Evaluate the quotient

\(r = 4\)

Substitute 4 for r in \(r = \frac{a_{n}}{a_{n-1}}\)

\(4 = \frac{a_{n}}{a_{n-1}}\)

Cross multiply

\(a_n = 4a_{n-1}\)

Hence, the recursive definition of the geometric sequence is \(a_n = 4a_{n-1}\) where a1 = 128

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