Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $21 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $29 monthly fee and charges an additional $0.10 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?

The simplest form of the expression is 4d+3.

We have given that,

(3d+5)+(d-2)

We have to determine the simplest form of the given expression.

The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.

(3d+5)+(d-2)

=3d+5+d-2

=4d+3

Therefore the simplest form of the expression is 4d+3.

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Answer:

If there were approximately 600 million TVs in use in 2003 and the amount of TVs was projected to increase at a rate of 20% each year, then the number of TVs in use in 2008 can be calculated as follows:

- The number of TVs in use in 2004 = 600 million TVs x 1.20 = 720 million TVs

- The number of TVs in use in 2005 = 720 million TVs x 1.20 = 864 million TVs

- The number of TVs in use in 2006 = 864 million TVs x 1.20 = 1.037 billion TVs

- The number of TVs in use in 2007 = 1.037 billion TVs x 1.20 = 1.244 billion TVs

- The number of TVs in use in 2008 = 1.244 billion TVs x 1.20 = 1.493 billion TVs

Therefore, there were approximately **1.5 billion TVs** in use in the year 2008¹.

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Answer:

2.28942848511

Step-by-step explanation:

V^3 = V x V x V

V x V x V = 12

12 = 2 x 2 x 3

Those are not equal, so V must be an irrational number.

But I just used a calculator. ¯\_(ツ)_/¯

Answer:

The question is not complete

Reason:

A rational number is a fraction of any two integers, as long as the denominator is nonzero. This applies to the first two answer choices.

Choices C and D are undefined because of the 0 in the denominator. You cannot divide by zero. This rules out the last two choices.

Answer:

an=10n+90, a10=190

Step-by-step explanation:

The difference is 10. We can use this to find the formula an=10n+90.

Then, but in 10 for n.

10*10+90

100+90

190

Answer:

5

Step-by-step explanation:

Answer:

Whats the question?

Step-by-step explanation:

Answer:

its 63

Step-by-step explanation:

cause 8 laps is 56 and then you see what is half of 14 and that 7 so you do 56+7 and that equal 63 because your looking at the 56 and seeing what is half of 14 and that 7 so you just add it to the 56 and you get 63

Hope This Helped :)

Answer:

Impossible (0/6)

Step-by-step explanation:

A single six-sided die has:

1, 2, 3, 4, 5, 6.

It is impossible to roll a number greater than 6 because there is no number greater than 6 on a six-sided die.

The sum of angles of a triangle is equal to 180 degree.

Determine the value of x, by using angle sum for the triangle.

The value of x is 24

Answer:

Option 1: \(-2x+3\)

Step-by-step explanation:

\(-\frac{1}{5}\left(5x+20\right)-\frac{1}{4}\left(4x-28\right)\)

Expand:

\(-\frac{5x+20}{5}-\frac{4x-28}{4}\)

\(-\left(x+4\right)-\left(x-7\right)\)

Remove brackets:

\(-x-4-x+7\)

Group similar terms together:

\(-x-x-4+7\)

\(-2x+3\)

Answer:

The correct choice is option A. 8 / x^6

Step-by-step explanation:

= (2/x^2)^3

= 2^3 / (x^2)^3

= 8 / (x^2)^3

(x^2)^3 = x^6

= 8 / x^6

The expression for the simplified total gas used is 1.43x.

let the gas used on the way to camp "x"

Then the gas used on the way back can be calculated as follows:

360 / 420 × 0.5 × x

To calculate the total fuel used, We need to add this to the 'x' used on the way.

Therefore,

total gas used = x + 360 / 420 × 0.5 × x = x + 0.43x = 1.43x

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Here mark the angles

By using angle sum property

So

So

Answer:

IH < GI < GH < FH < FG

Step-by-step explanation:

Find missing angles

Sum of interior angles of a triangle = 180°

⇒ ∠GFH = 180 - 55 - 75 = 50°

⇒ ∠IGH = 180 - 59 - 63 = 58°

Side lengths in relation to interior angles

The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.

Therefore, angles/sides in order of least to greatest:

ΔIGH

∠IGH = 58  →   its opposite side is IH

∠GHI = 59  →   its opposite side is GI

∠G|H = 63  →   its opposite side is GH

Therefore,  IH < GI < GH

ΔFGH

∠GFH = 50  →  its opposite side is GH

∠FGH = 55  →   its opposite side is FH

∠FHG = 75  →   its opposite side is FG

Therefore, GH < FH < FG

Combining:  IH < GI < GH < FH < FG

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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Answer:

is there a picture?

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

i got it right ...

trust me or don’t :)

Check the picture below.

\(3x+5=\cfrac{260-100}{2}\implies 6x+10=160\implies 6x=150 \\\\\\ x=\cfrac{150}{6}\implies x=25\hspace{9em}\stackrel{\measuredangle ABC}{3(25)+5}\implies 80^o\)

Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

Answer:

Apllying cos on the triangle

cos(angle)= Base/ Hyp

cos(34)= 29/ AB

AB= 29/0.8290

AB=34.98

Step-by-step explanation:

The length of AB is 34.98 units which the correct answer would be an option (D).

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

Given that ΔABC

∠C = 90°

Here base = BC = 29 units and hypotenuse = AB

To determine the length of AB

Apply the cosine on the given right triangle

⇒ cos(θ) = Base/hypotenuse

⇒ cos(34) = 29/ AB

∴ cos(34°) = 0.8290

⇒ 0.8290 = 29/ AB

⇒ AB= 29/0.8290

⇒ AB = 34.98 units

Hence, the length of AB is  34.98 units

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Answer:

85

Step-by-step explanation:

Answer:

30$*3=90$ - its the answer

Step-by-step explanation:

To get the answer we can first divide 60 by 2 to see how much cost 5 burgers. Then we have to multiply that result times 3 to get the answer.

60:2=30$ ----- 5 burgers.

30$*3=90$ - its the answer

Answer: All But Real Numbers

Step-by-step explanation: The Squared Root Of 5 Is 5145 So It Wood Be All But RealNumbers

Answer:

10 bars

Step-by-step explanation:

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

Step-by-step explanation:

We can simplify the expression using the rules of exponents:

(-27)^(-2/3) = 1/(-27)^(2/3)

Now, we can use the fact that (-a)^(2/3) = (a^(2/3)) to simplify the expression further:

1/(-27)^(2/3) = 1/(3^3)^(2/3) = 1/3^(3*2/3) = 1/3^2 = 1/9

Therefore, x = 1/9.

The expression that represents the amount of money the friends still need to collect to meet their goal is 5x² - 6xy - 1.

Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression 9x² − 4xy + 6.

The friends have already collected the following amounts:

The expression that represents the amount of money the friends still need to collect to meet their goal is calculated as follows:

Therefore, the amount the friend still needs to collect can be gotten by subtracting the sum of the collected amount by each person from their desired goal.

Hence,

9x² − 4xy + 6 - (2xy + 12 + x² +  3x² − 5)

9x² − 4xy + 6 - 2xy - 12 - x² - 3x² + 5

combine like terms

9x² - x² - 3x² - 4xy - 2xy + 6 - 12 + 5

5x² - 6xy - 1

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Answer: This is the graph for -x -2y=4

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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SSS congruency criteria can be used here to prove ∆ABC ≅ ∆DCB

In ∆ABC and ∆DCB

AB = CD (given)

AC = BD (given)

BC = BC (common)

So, by SSS congruency criteria,

∆ABC ≅ ∆DCB

The number of square feet needed to cover the hole is 44ft²

To find this, we need to find the area of the green region and subtract the little square that it has inside.

Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:

A = 12ft*4ft = 48ft²

The little square has an area:

a = 2ft*2ft = 4ft²

Then the area needed is:

area = 48ft² - 4ft² = 44ft²

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