7. Yin's cellphone plan costs $30 a month. She used 22.5 hours in May
What was her cost per minute?

9514 1404 393

Answer:

  A) 1

Step-by-step explanation:

Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary

Left angles

Call the smaller angle α. Then the larger angle is 2α.

  tan(α) = x/2

  tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)

Right angles

  tan(β) = x/3

  tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)

__

Angles 2α and 2β are complementary, so the product of their tangents is 1.

  (4x/(4 -x²))(6x/(9 -x²)) = 1

  24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators

  x⁴ -37x² +36 = 0 . . . . . put in standard form

  (x² -36)(x² -1) = 0 . . . . . factor

Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.

The length of DE is 1.

Answer:

[tex]5 {x}^{2} - 2x + 3x = 9 {x}^{2} + 9x \\ 5 {x}^{2} + x = 9 {x}^{2} + 9x \\ 5 {x}^{2} - 9 {x}^{2} = 9x - x \\ - 4 {x}^{2} = 8x \\ - 4x = 8 \\ x = \frac{ - 8}{4} = - 2 \\ x = - 2 \\ thank \: you[/tex]

Answer:

x = -2

simplify:

-4x^2 - 8x = 0

Answer:

uh ew what is your pfp also its C

Answer:

Step-by-step explanation:

The answer is c the solution will be positive because there are two negative signs

Answer:

x = 200

Step-by-step explanation:

Answer:

x=200 because it really do be like day sometimes

Step-by-step explanation:

edge trust me

Answer:

Step-by-step explanation:

The share has the same ratio as investment:

The shares are:

Answer:

[tex]x=\frac{k+c}{4}[/tex]

Step-by-step explanation:

Answer:

Month: no

(13,33)…. Yes

Time,distance: yes

(1,2)… no

Age, shoe size: no

(x,y) yes

Step-by-step explanation:

Step-by-step explanation:

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

First row:

Months (input) and Days (output) = not a function. The month of February has two corresponding outputs: Days of 28 and 29.

{(13, 33), (17, 25), (22, 22), (25, 17), (33, 17)} = this relation is a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).

Plot of Distance (mi) vs. Time (h): the graph represents a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).

Second row:

{(1, 2), (5, 2), (5, 4), (7, 6), (11, 6), (11, 8)}: this relation is not a function. The input value of 5 has two corresponding output values: 2 and 4. The same goes with the input value of 11, which has two output values of 6 and 8.

Table of Age (x) and Shoe Size (y): does not represent a function. The x = 15 has two corresponding y-values: 10 and 10.5.

Diagram of x and y (bottom-left corner): this relation represents a function. Each input value corresponds to exactly one output value.

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y = 12.60 + 0.64x

Step-by-step explanation:

y = $12.60 + $0.64(x)

y = 12.60 + 0.64x

Answer:

lowest form is 1905/28 or 68 1/28 as a mixed number

Step-by-step explanation:

5715/84

÷3 from both sides

5715÷3=1905

5715÷3=28

Answer:

45 green beads

.

Step-by-step explanation:

Let the number of red beads be 'x'

Given that, Carrie has 3 times as many green beads as red beads

Number of green beads = 3 times number of red beads

Number of green beads = 3x

She 2 as many blue beads as green beads

Number of blue beads = 2 times the number of green beads

Number of blue beads = 2(3x) = 6x

She has 150 total

Therefore,

Number of red beads + Number of green beads + Number of blue beads = 150

x + 3x + 6x = 150

10x = 150

x = 15

Thus, number of green beads = 3x = 3(15) = 45

Thus there are 45 green beads

I hope this helps

The question requires finding total green beads she has

There are 45 green beads

let

number of red beads = x

number of green beads = 3x

number of blue beads = 2(3x)

Total beads = 150

Total beads = red beads + green beads + blue beads

150 = x + 3x + 2(3x)

150 = 4x + 6x

150 = 10x

divide both sides by 10

x = 150/10

x = 15

Therefore,

number of red beads = x

= 15 beads

number of green beads = 3x

= 3 × 15

= 45 beads

number of blue beads = 2(3x)

= 2(3 × 15)

= 2(45)

= 90

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Answer: (5, -2)

Step-by-step explanation: no question boss

Answer:

I can probably help but I don`t really understand what you`re asking. Put your question in the comments and I`ll do my best to answer!

Answer:

0.131kg is the average.

Step-by-step explanation:

Divide 1.572 (total weight) by 12 (amount of sticks)

Answer:

f÷g=2x+5x+2=7x+2

x=3

7×3+2=21+2=23

The value of  (f + g)(x) when x = 3, if f(x) = 2x and g(x) = 5x + 2, is 23.

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

f(x) = 2x and g(x) = 5x + 2

Calculate  (f + g)(x)  as shown below,

f(x) + g(x) = 2x + 5x +2

f(x) + g(x) = 7x + 2

Put x = 3

f(3) + g(3) = 7 × 3 + 2

f(3) + g(3) = 23

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Reggie is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.

The total length of fabrics =  [tex]\dfrac{1}{8}+\dfrac{1}{4}+3\dfrac{1}{2}+2\dfrac{5}{8}+4\dfrac{3}{4}[/tex]

                                            =  [tex]\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{7}{2}+\dfrac{21}{8}+\dfrac{19}{4}[/tex]

The LCM of 4 and 8 is 8.

So, the expressions will be simplified by adding all the terms with the same denominator.

                      = [tex]\dfrac{49}{8}[/tex]

The fabric used by Reggie = [tex]2\dfrac{3}{4}[/tex]

                                              = [tex]\dfrac{11}{4}[/tex]

The fabric left can be calculated by subtracting the total fabric he used from the total fabric he had.

Fabric left =[tex]\dfrac{49}{8} - \dfrac{11}{4}[/tex]

The LCM of 8 and 4 is 8

Fabric left = [tex]\dfrac{49}{8} - \dfrac{22}{8}[/tex]

                 =  [tex]\dfrac{27}{8}[/tex]

So, he is left with [tex]\dfrac{27}{8}[/tex] yarns of fabric.

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Answer: 582 miles per hour

Step-by-step explanation:

581.603 miles per hour

Round= 582

The speed of an airplane in miles per hour is 581.60 miles/hour.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Given the speed of an airplane  = 260 m/sec

Since,

1 mile = 1.60934 kilometer

1 km = 1000 meter

So,

1 mile = 1609.34 meter

1 m = (1/1609.34) mile

And,

1 hour = 360 seconds

1 s = (1/360)hour

So,

260 m/sec = 260 (3600/1609.34) miles/hour

⇒ 581.60 miles/hour.

Hence "The speed of an airplane in miles per hour is 581.60 miles/hour".

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Answer:

it is $1.12 for each pair of gloves

Step-by-step explanation:

Answer: total sum of 180°.

Step-by-step explanation:

Step-by-step explanation:

x. y=3x². y=3^x

0. 0. 1

1. 3 3

2. 12. 9.

hope this helps you. Just put the value of x in the equations of y.

Answer:

Given function:

Find its inverse:

a) Correct choice is B

b) See above the equation of inverse function.

c) Find the value of inverse function when x = 8.3

Hello there!

Another way to write 4^6 is 4×4×4×4×4×4.

Because 4^6 means 4 times 4 times 4 times 4 times 4 times 4.

I hope this helps you!

~Just a joyful teen

[tex]*SilentNature*[/tex]

[tex](GraceRosalia)[/tex]

Answer:

4,000,000

is this powers of ten? plz tell me

Answer:

Right scalene triangle

Acute equilateral triangle

Step-by-step explanation:

For the first triangle, we will use the Converse of the Pythagorean Theorem:

If c² < a² + b², then it means that it is an acute triangle.

If c² = a² + b², then it means that it is a right triangle.

If c² > a² + b², then it means that it is an obtuse triangle.

For the first triangle, let c = 25 yd, a = 7 yd, and b = 24 yd

c² = a² + b²

25² = 7² + 24²

625 = 49 + 576

625 = 625 (True statement).

Therefore, the first triangle is a right triangle. At the same time, each angle have different measures, making it a scalene triangle.  Therefore, the first triangle is an example of a right scalene triangle.  

For the second triangle, since all sides are equal, it doesn't matter which side we label as a, b, or c.

Let's see which type of triangle it is according to its sides:

c² = a² + b²

32² = 32² + 32²

1024 < 2048  

Therefore, it is an acute triangle. At the same, the second triangle has equal sides, making it an equilateral triangle. Therefore, the second triangle is an example of an acute equilateral triangle.

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Answer:

x = 1 and 7

Step-by-step explanation:

I GOTCHU!

x-4 = 3, no matter what

x can be 1 or 7!

Answer:

13/20

Step-by-step explanation:

0.65 = 65/100

both are multiples of 5, so simplify:

65/100 = 13/20

-Chetan K