dante’s cell phone company charges $45 per month for unlimited calls and internet use and $0.25 per text message. his last cell phone bill was $60.50. how many text messages did he send last month. write an equation.

Answer:

8

Step-by-step explanation:

Since we want to find the length of a line segment, we can use the distance formula.

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2 }[/tex]

(x₁, y₁) and (x₂, y₂) are the points given.

The points we are given are: (-2,3) and (6,3). Therefore,

[tex]\\x_{1} =-2\\y_{1}=3 \\x_{2} = 6\\y_{2} =3[/tex]

Plug each value into the formula.

[tex]d=\sqrt{{(6--2})^2+(3-3 )^2} }[/tex]

Evaluate inside of the parentheses first.

[tex]d=\sqrt{(6+2)^2+(0)^2}[/tex]

[tex]d= \sqrt{(8)^2+(0)^2 }[/tex]

Evaluate the exponents.

8²= 8*8=64

[tex]d=\sqrt{64+(0)^2}[/tex]

0²= 0*0= 0

[tex]d=\sqrt{64+0}[/tex]

Add 64 and 0.

[tex]d=\sqrt{64}[/tex]

Take the square root of 64.

[tex]d= 8[/tex]

The length of the line segment is 8

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

D. The time it took to collect the data.

Answer:

LCM=1078

Step-by-step explanation:

49=7×7

154=7×11×2

LCM=7×7×11×2

=1078

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{1078}}}}}[/tex]

Step-by-step explanation:

The L.C.M of any numbers can be obtained by using two methods and they are :

I am going to find the L.C.M of 154 and 49 by using these two methods :

1. Prime factorization method:

[tex] \sf{154 \: and \: 49}[/tex]

First of all , find the prime factors of each numbers.

[tex] \sf{154 =2 \times 7 \times 11}[/tex]

[tex] \sf{49 \: = \: 7 \times 7}[/tex]

Take out common prime factor i.e 7

Thenafter, also take out the other remaining prime factors : 2 , 11 and 7

L.C.M = Common factors × Remaining factors

= 7 × 2 × 11 × 7

= 1078

------------------------------------------------------------

Next method :

2. Division method

[tex] \sf{154 \: and \: 49}[/tex]

Steps :

⇒ Arranging the given numbers in horizontal position.

⇒Thus, arranged numbers should be divided by a prime number. During this process that prime numbers should divide any two or more given numbers.

⇒Repeat the process till you get prime number as quotient for each number.

⇒The product of all prime factors and last quotients is L.C.M

( see attached picture )

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

total number of students=21

students play neither sport=6

students who play at least one sport=21-6=15

Let play basketball=X

and play baseball=Y

n(XUY)=n(X)+n(Y)-n(X∩Y)

15=11+6-n(X∩Y)

n(X∩Y)=17-15=2

reqd. probability=2/21

Answer:

8.5

Step-by-step explanation: it might be wrong btw, but i think its right. the question isnt worded very well

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

[tex]rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}[/tex]

Answer:

2916

Step-by-step explanation:

1944  ÷  (2/3)  = 2916

Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

To get the perimeter, you add up all the outer sides

side1+side2+side3 = (5+x)+(5+x)+(xy) = 10+2x+xy

The like terms 5 and 5 add to 10. The other pair of like terms x and x add to 2x. There isn't anything to pair with xy, so we leave it as is.

Answer:

1/1296

Step-by-step explanation:

P( 5) = number of 5's over total numbers possible

       = 1/6

P( 5,5,5,5) = 1/6 * 1/6 * 1/6* 1/6

                 =1/1296

Answer:

[tex]\Large \boxed{\frac{1}{1296} }[/tex]

Step-by-step explanation:

Outcomes of a dice: 1, 2, 3, 4, 5, 6

There are 6 total outcomes.

The probability of landing a 5 on a dice is 1/6.

P(landing a 5 four times) = 1/6 × 1/6 × 1/6 × 1/6 = 1/1296

Answers:

==================================================

Work Shown:

$4.05 = 405 cents

d = number of dimes

q = number of quarters

q = d+5 since she has 5 more quarters compared to dimes

10d = value in cents of all the dimes

25q = value in cents of all the quarters

10d+25q = total value in cents = 405

10d+25q = 405

10d+25(d+5) = 405

10d+25d+125 = 405

35d+125 = 405

35d = 405-125

35d = 280

d = 280/35

d = 8

She has 8 dimes

q = d+5 = 8+5 = 13

She also has 13 quarters

-------------------------

1 dime = 10 cents

8 dimes = 80 cents (multiply both sides by 80)

1 quarter = 25 cents

13 quarters = 325 cents (multiply both sides by 13)

8 dimes + 13 quarters = 80 cents + 325 cents = 405 cents

This converts back to $4.05, which confirms our answers.

The tile in a bathroom or kitchen is one example of tessellation. It's where you place geometric shapes together to fill a space. In this case, we have squares placed together to fill the space of the wall or floor. There cannot be any gaps or overlaps.

Another example would be bricks as this is composed of rectangles placed together without any gaps or overlaps. There are many other examples as well usually done as floor or wall patterns of some kind. Some tessellations involve using more than one shape (eg: one pattern uses squares and equilateral triangles placed together).

Answer:

{x | x = -5, -3, 1, 2, 6}

Step-by-step explanation:

In a function, the domain values are all the possible values of input in a function. In order words, they are the x-values in a function, which are also referred to as independent variable.

In the mapping of the function above, all input values make up the domain of the function.

Thus, the domain is:

{x | x = -5, -3, 1, 2, 6}

Answer:

1. Diego has to move 2 places back to be 25th .

2.a. Jade is right. She'll get 2 prizes .

2.b.The blueberry muffin and the carrot cake

Step-by-step explanation:

[Every fifth customer will get a free bagel.]`-------

This means that anyone on the line who is a multiple of 5 will get a free bagel. Example-  5th customer,10th customer, or the 15th customer and so on..

[Every ninth customer will get a free blueberry muffin]--------

This means that anyone on line who is a multiple of 9 will get a free blueberry muffin. Example- the 9th customer, 18th customer etc...

[Every 12th customer will get a free slice of carrot cake. ]----------

This means that anyone on line who is a multiple of 12 will get a free carrot cake. Example- the 12th customer, 24th customer, 36th customer etc...

THEREFORE, (ANSWERS TO THE QUESTION)

1. Yes, he is right  in order to get the prize. To get at least one prize, he should go two places behind and become the 25th customer {since he s a multiple of 5}.He will get a free bagel.

2.a. Yes, Jade will get a prize. She can get a free blueberry muffin and a free slice of carrot cake .

2.b. Yes, it is possible for Jade to win more than one prize because she is the 36th customer and 36 is a multiple of both 9 and 12

[tex]\\[/tex]

Step-by-step explanation:

Hey, there!!

See explanation in picture.

They receive 16000, 24000 and 32000 as per the ratios 2:3:4.

let x be a common factor,

Then,

2x+3x+4x =72000

sum them,

9x= 72000

x = 72000/9

=8000

Therefore, x= Rs. 8000.

2x= 8000×2 = Rs.16000

3x= 3×8000= Rs.24000

4x= 4×8000= Rs. 32000

You just need to put common factor on the ratios and then sum up them to get the value.

Hope it helps..

Step-by-step explanation:

(g•f(x))

Where ever you see x in g(x), you put f(x)

2(x-7)+1

[expanding]

2x-14+1

2x-13

I'm not 100% sure

Well look at the question.

It is asking you the total difference between the winners score to their opponents score in the contest.

Going by how the graph looks, approximately:

Javi's scores are 10, 20, 60, 20, and 15.

MeriAnne's scores are approximately 20, 30, 40, 20, and 10.

Add all those numbers up individually for each contestant.

Javi has a total score of 125.

Meri has a total score of 120.

Subtract the total scores from each other, as so:

125 - 120 = 5.

Javi read 5 more pages than Meri.

Answer:

2.733333....

Step-by-step explanation:

Answer:57639962993

Step-by-step explanation:398745399883

Answer:

D). Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Since every person is expected to drink one can of soda:

Let the price of each can of soda = p

and the total number of people present at the picnic = n

∵ Total price = p(the price of each soda can) * n(number of people)

Thus, Diego correctly asserts that if he multiplies the 'unit price for a can of soda by the number of people attending the picnic', he would be able to deduce the total cost of soda. Hence, Max is incorrect and option D is the correct answer.

Answer:

See below.

Step-by-step explanation:

The perimeter of a rectangle is simply the distance around the rectangle. The distance will be its two lengths plus the two widths. In other words:

[tex]P=2l+2w[/tex]

We want to solve for l. Therefore:

[tex]P=2l+2w\\2l+2w=P\\2l=P-2w\\l=(P-2w)/2[/tex]

Answer:

20.1

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, distribute 7 to all terms within the parenthesis:

7(3 - x) = (7 * 3) + (7 * -x) = 21 + -7x = 21 - 7x

3x + 2 = 21 - 7x

Isolate the variable, x. Subtract 2 and add 7x to both sides:

3x (+7x) + 2 (-2) = 21 (-2) - 7x (+7x)

3x + 7x = 21 - 2

10x = 19

Divide 10 from both sides:

(10x)/10 = (19)/10

x = 19/10 = 1.9

Plug in 1.9 for x in the expression given:

26 - x - 4 = 26 - 1.9 - 4

26 - 1.9 = 24.1

24.1 - 4 = 20.1

20.1 is your value.

~

Answer:

s < 50

Step-by-step explanation:

s must be less than 50

s < 50

Answer:

The answer is

Step-by-step explanation:

First of all add 4 to both sides of the inequality to make 2x stand alone

That's

Divide both sides of the inequality by 2 inorder to find x

That's

We have the final answer as

Hope this helps you

Answer:

Suku yang ke Kelima adalah 56

Kerana anda hanya perlu tambah sepuluh sahaja seperti:

Suku pertama:16

Suku kedua:26

Suku ketiga:36

Suku keempat:46

Suku kelima:56

Harap jawapan tersebut adalah betul and Mark me as BRAINLIEST if the answer is right ✨

Answer:

n+7

Step-by-step explanation:

Sum means add, so it's just n added to 7:

n+7 :)

Answer:

n+7 is the answer or u can put it in parenthesis (n+7)

Step-by-step explanation:

Answer:

80,543 employees total

Step-by-step explanation:

22.1% of total = 17,800 employees

0.221 of x = 17800

0.221 • x = 17800

x = 17800 / 0.221

x = 80542.98643

x ≈ 80543 employees total

Answer:

PIC 1: Option 2. this relation is a function

PIC 2. Option 1. this relation is not a function

Step-by-step explanation:

To be a function, the domain (x value) can only have one range (y value). But one range can have multiple domain

PIC 1

Function {(-2, -4) (-1, -4) (3, -4) (6, -4)}

This relation is a function

EXPLANATION: each domain only have one range

PIC 2

Function {(-4, -2) (-4, -1) (-4, 3) (-4, 6)}

This relation is not a function

EXPLANATION: each domain has multiple range.

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

Answer:

5[tex]x^{2}[/tex] = 344.45

[tex]x^{2}[/tex] = 68.89

x = ± [tex]\sqrt{68.89}[/tex]

x = 8.3, −8.3