AT-Mobile advertises cut-rate phone service for $9.00 a
month plus $0.05 per text. If your budget allows you to spend
at most $25 on phone service a month, what is the maximum
number of texts you can make? Write and solve an inequality.

Answer:

222

Step-by-step explanation:

for sure 100%

gurantee at your own risk

Answer:

X=1

BD=AC=3(6x-4)=3(6(1)-4)=6

BD=6

Square is a polygon with 4 equal sides. The value of line BD is 6 units.

A square is a polygon with 4 sides, such that all the four sides of the polynomial are equal, also all the angles of the square are of 90°.

As it is given that the diagonals of square ABCD intersect at point E. And, we know that the diagonals of the square bisect each other. therefore, we can write,

BD = 2BE

Substituting the values, we will get,

[tex]3(6x-4) = 2 \times(2x+1)\\\\18x-12 = 4x+2\\\\18x-4x = 2+12\\\\14x = 14\\\\x = \dfrac{14}{14}\\\\x = 1[/tex]

Thus, the value of x is 1.

We know that the diagonal of a square are equal, therefore, the value of the diagonal BD can be written as,

[tex]BD = AC = 3(6x-4)[/tex]

Substitute the value of x as 1, therefore, the value of BD can be written as,

[tex]BD = 3[6(1)-4]\\\\BD = 3(6-4)\\\\BD = 3 \times 2\\\\BD = 6[/tex]

Hence, the value of line BD is 6 units.

Learn more about Square:

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Answer:h(x)=g(x+5)+1

Step-by-step explanation:

Answer:

.40 cents

Step-by-step explanation:

Just simple divide 2.40/6 and when you get 0.4, add a 0 because it is money.

Answer:

0.40 cents

Step-by-step explanation:

You divide $2.40 by 6 and you get the answer 0.40 or 0.4

Answer:

B

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Answer:

2. 8x

3. (12/2)*(10/2)

Step-by-step explanation:

Answer:

Mutually Exclusive

Dependent

Step-by-step explanation:

Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).

Hence, this is MUTUALLY EXCLUSIVE.

Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).

Hence, this is DEPENDENT.

Answer:

R = 4.2cm and D = 8.4cm

Step-by-step explanation:

The radius is 3.2 and the diameter is always twice much so its 8.4

Answer: B

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

there is no y intercept

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

or

4ab / (4a ² - b ²)

upon condensing the denominator again.

Answer:

14.8%

Step-by-step explanation:

Given data

Initial income=47

Final income=40

The change= 47-40

=7

Hence the percent increase is

% increase= Change/ initial*100

% increase= 7/47*100

% increase=0.148*100

% increase=14.8%

Answer:

Step-by-step explanation:

so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] parts.... sooo

they tell us the Hypotenuse  ( Hyp) and one  angle and want that side Opposite ( Opp)  of the angle... sooo use the mnemonic

SOH CAH TOA  

to help remember how the sin , cos, and tan functions fit on a triangle

there problems b/c easy A's when you get this.  :P so learn it, know it, live it  :D

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

now look at which one of the above formulas have the things we know and want to find

Sin looks like a good choice b/c it's got  Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function

Sin(45) = Opp / 6

see how I got that?

[tex]\sqrt{2}[/tex] / 2 = Opp / 6

6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp

3[tex]\sqrt{2}[/tex]  = Opp

the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex]  just leave it

there is  your answer

X  = 3[tex]\sqrt{2}[/tex]

Answer:

Equation: 35.60 = 2.60 + 3x

It was 11 miles

Step-by-step explanation:

35.60 = 2.60 + 3x

3x = 33

x = 11

The linear function for the fare is:

[tex]F(x) = 2.6 + 3x[/tex]

Solving the equation, it is found that the taxi ride was of 11 miles.

A linear function for a cost considering a distance of x miles has the following format:

[tex]F(x) = F(0) + ax[/tex]

In which

In this problem:

The function is:

[tex]F(x) = 2.6 + 3x[/tex]

Fare of $35.60, thus [tex]F(x) = 35.60[/tex] and we solve for x to find the number of miles.

[tex]35.6 = 2.6 + 3x[/tex]

[tex]3x = 33[/tex]

[tex]x = \frac{33}{3}[/tex]

[tex]x = 11[/tex]

There were 11 miles in the taxi ride.

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Answer:

its v=720.52 in3

Step-by-step explanation:

Answer:

B. 2x(x + 3)(2x – 1)

Step-by-step explanation:

A. 2(x + 3)(2x – 1)

= (2x + 6)(2x - 1)

= 4x² - 2x + 12x - 6

= 4x² + 10x - 6

B. 2x(x + 3)(2x – 1)

= (2x² + 6x)(2x - 1)

= 4x³ - 2x² + 12x² - 6x

= 4x³ + 10x² - 6x

C. 2x(x – 3)(2x – 1)

= (2x² - 6x)(2x - 1)

= 4x³ - 2x² - 12x² + 6x

= 4x³ - 14x² + 6x

D. 2(x – 3)(2x + 1)

= (2x - 6)(2x + 1)

= 4x² + 2x - 12x - 6

= 4x² - 10x - 6

The completely factored form of 4x3 + 10x2 – 6x is 2x(x + 3)(2x – 1)

Answer:

The correct answer is B: 2x(x+3)(2x-1)

Step-by-step explanation:

I got it right on the quiz.

Answer:

-2

Step-by-step explanation:

5n+3= -10

5n = -13

n = -13/5

= -2.6

question is integer

so answer is -2

The smallest integer n is -2

An integer is colloquially defined as a number that can be written without a fractional component.

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality.

Given,

5n + 3 > -10

Consider

5n + 3 = -10

5n = -10-3

5n = -13

n = [tex]\frac{-13}{5} =-2.6[/tex]

Therefore the smallest integer n≅ -2

Hence, the smallest integer n is -2

Learn more about Integer and Linear inequality here

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Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Answer:

24 1/5

Step-by-step explanation:

I'm not sure if u meant 121/5 but I converted it and it's 24 as a whole number and 1/5 for the fraction

24 1/5

Answer:

(3x+1)(5x-2)

Step-by-step explanation:

Given the expression

15x^2-6x+5x-2

Factorize;

3x(5x-2)+ 1(5x-2)

(3x+1)(5x-2)

Hence the factorized form is (3x+1)(5x-2)

Answer:

[tex] \frac{5}{3 } \times \frac{1}{4} \times \frac{3}{2} = \frac{5}{8} [/tex]

Step-by-step explanation:

Volume=H×B×L

so,5/8 cm^3 is answer

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

Answer and Step-by-step explanation:

Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.

So, We would divide 48 by 6 to find the scale factor.

48 divided by 6 is 8.

Now, we divide 56 by 8 to find x.

56 divided by 8 is 7.

x is equal to 7.

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