Julias text messaging plan costs $8 for the first 400 messages and 20e for each additional text message. If she owes $24.00 for text messaging in the month of
September, how many text messages did she send that month?

Answer: a = 17/2  and b =1/2 and c = 6

Step-by-step explanation:

the system is :  a+b=9...........(1)

                        2b+2c=13 .......(2)

                        2a-c=11 ...........(3)

by (1) and (2) calculate : a and b

by (3) : 2a = 11 +c

so : a = (11+c)/2.....( *)

by (2) : 2b = 13 -2c

so : b =(13-2c)/2......(**)

put the value for a and b by (*) and (**) in (1) :

(11+c)/2. + (13-2c)/2 = 9

(11+c +13-2c)/2 = 9

24-c =18

c = 24-18

c = 6

put this value in (*) and (**)

a = (11+6)/2

a = 17/2

b = (13-12)/2

b =1/2

yoi can verify : 1)     a+b = 9     : 17/2 +1/2 = 18/2 = 9 .....right

                        2)    2b+2c=13  : 2(1/2)+2(6) =1+12 = 13 .....right

                        3)    2a-c=11      : 2(17/2)-6 =17-6 = 13.......right

Answer:

yes

Step-by-step explanation:

Answer:

Yes!

Step-by-step explanation:

Greater than means is it Bigger?

Using Subtraction, we can find that 592,682 is 999 Greater Than 591,683

[tex]\text{Hello there!}\\\\\text{A simple way to find the value of x is to find the scale factor}\\\\\text{When you flip the shapes to make it look exactly the same,}\\\text{you would see that the numbers are divisible to it}\\\\\text{Side 21 is congruent to side 3}\\\\\text{Divide 21 by 3 and you'll get 7 (1/7 sine we're going to a smaller shape)}\\\\\text{The x side is congruent to the 91 side}\\\\\text{Divide 91 by 7}\\\\91\div7=13\\\\\large\boxed{x=13}[/tex]

Answer:

3 times (3x)

Step-by-step explanation:

Sandra raised 15 dollars.

Nita raised 45

45 divided by 15 is 3

3 * 15 = 45

Final answer:

To find out how many times more money Nita raised compared to Sandra, divide Nita's amount ($45) by Sandra's amount ($15) to get a factor of 3. Thus, Nita raised three times as much money as Sandra.

Explanation:

The question asks us to calculate how many times more money Nita raised compared to Sandra. Since Sandra raised $15 and Nita raised $45, we can find the multiplicative factor by dividing the amount Nita raised by the amount Sandra raised.

To find out how many times the money raised by Nita compares to that of Sandra, we can use the formula:

Multiplier = Nita's Amount / Sandra's Amount

Multiplier = $45 / $15

Multiplier = 3

So, Nita raised three times as much money as Sandra did for the PTA.

The algebraic expression 4n-5 translates verbally to 'four times a number minus five.'

To translate the algebraic expression 4n-5 into a verbal statement, consider the components of the expression. The '4n' part indicates four times a number 'n', and '-5' signifies that five is subtracted from the product of four and the number. Thus, the verbal statement of the expression is 'four times a number minus five.'

The complete question is:Translate 4n-5 To verbal statement

The algebraic expression 4n - 5 translates to "Five subtracted from the product of 4 and a number."

In Mathematics, an algebraic expression is a type of mathematical equation which is typically used for showing the relationship existing between two (2) or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.

Generally speaking, the variable x is typically used for denoting an independent variable.

Based on the given algebraic expression 4n - 5, a word problem that represents the expression can be written as "Five subtracted from the product of 4 and a number."

1424000000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred fifty-four divisors.-by-step explanation:

1.424 × 10  to the ninth power

Answer:

The percentage increase in Spencer’s height is 125 %

Solution:

[tex]\begin{array}{l}{\text { Percentage increase }=\frac{\text { change in height }}{\text { initial height }} \times 100 \%} \\\\ {\text { percentage increase }=\frac{\text { increased height - initial height }}{\text { initial height }} \times 100 \%}\end{array}[/tex]

Initial height of spencer = 28 inches  

Increased height of spencer = 5 feet 3 inches  

= 5 feet + 3 inches  

(5 feet = 5 ×12=60 inches)

= 60  + 3

 [tex]\begin{array}{l}{\text { Increased height }=63 \text { inches }} \\ {\text { Percentage increase }=\frac{63-28}{28} \times 100 \%} \\\\ {=\frac{35}{28} \times 100 \%} \\\\ {=1.25 \times 100 \%} \\ {\text { percentage increase in height of spencer }=125 \%}\end{array}[/tex]

Answer:

10(2x22) is not an example of distributive property. That would equal 10x44 not 12x22

Answer:

C does not mean 12 x 22 as you do what is inside the brackets first and this would mean it is 2.22 x 10

Step-by-step explanation:

Hey!

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

Absolute Value - the enormity of a number regarding its sign.

|-5| = 5

|5| = 5

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

Hope This Helped! Good Luck!

Answer: 3/11

Because there are 3 black pens and 5 blue and 6 red its 3 out of 11 so it should be 3/11 im not good at explaining just trust me

The probability that she will choose a black pen is 3/14.

Given,

Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer.

She randomly chooses a pen from her drawer.

We need to find out what is the probability that she will choose a black

pen.

The ratio of the number of required events to the number of possible

outcomes of the events.

Example: Tossing the head of a coin.

Number of heads in a coin = 1

Total possible outcome = {head, tail} = 2

P = 1 / 2

We use a combination if we have to select a number of events from total

items.

It is given by:

[tex]^nC_{r}[/tex] = n! / r! (n-r)!

r = required number of items.

n = total number of items.

Find the probability that she will choose a black pen.

Number of pens = 5 blue pens + 3 black pens + 6 red pens = 14 pens

Number of black pens = 3 pens

Probability

= [tex]^3C_{1}[/tex] / [tex]^{14}C_{1}[/tex]

= (3! / 2! ) / ( 14! / 13! )

= 3 / 14

Thus the probability that she will choose a black pen is 3/14.

Learn more about the probability of choosing a pen from the total number of pens given here:

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Step-by-step explanation:

13.48x - 200 < 256.12

+200 +200

13.48x < 456.12

divide by 13.48 on both sides

x < 33.84

so your answer is the second one

Answer:

ik im late sry

Step-by-step explanation:

13.48x - 200 < 256.12

+200 +200

13.48x < 456.12

divide by 13.48 on both sides

x < 33.84

so your answer is the second one

To solve this problem, first let x=0.933333(repeating). Then, you want to multiply both sides by 10 to get 10x = 9.33333 (repeating). Next, take equation 2 and minus equation 1 from it giving you 9x = 8.4. Finally, multiply both sides by 10 and you will get 90x = 84. Divide both sides by 90 giving x=84/90. Answer is 84/90. 84/90 can reduce to 14/15.

Answer: 1755 yards

Step-by-step explanation:

apex

Answer: 25

Step-by-step explanation:

Since the exponents have the same denominator, you multiply the coefficients. In this case you multiply 5 times 5.

Answer:

Step-by-step explanation:

4n - 6m = - 2              Subtract 4n from both sides.

4n-4n - 6m = -2-4n

-6m = - 2 - 4n             Divide by - 6

-6m/-6= -2/-6 -4n/-6  Do the division

m = 1/3 + 2n/3

The signs change because each term has 2 minus signs. 2 minus signs make a plus. Or both minus signs cancel.

Answer:y=4/3

y is directly proportional to x^2 is written as

[tex]y \alpha {x}^{2} [/tex] introducing a constant,

y=kx^2

but from the question, when y=2 , x=3 . putting it in the formula to get the value of k

[tex]2 = {3}^{2} \times k[/tex]

2=9k . dividing through by 9 to get the value of k

[tex] \frac{2}{9} = \frac{9k}{9} [/tex]

[tex]k = \frac{2}{9} [/tex]

putting it in the general expression

[tex]y = \frac{2}{9} x[/tex]

the value of y when x=6

[tex]y = \frac{2}{9} \times 6[/tex]

[tex]y = \frac{4}{3} [/tex]

therefore the value of y when x=6 is

4/3

Answer:

f(- 2) = 1

Step-by-step explanation:

f(- 2) means what is the value of f(x) when x = - 2

From the table we can see that when x = - 2 f(x) = 1

Hence

f(- 2) = 1

Answer:

f(-2) = 1

Step-by-step explanation:

Actually, you need to know how to use this table to find the value of the function defined by the table when x = -2.  

Look in the first column of the table for x = -2.  When x = -2, f(x) = 1.  This is the desired result ("What is f(-2)?")

The Dependent variables are Average speed and Distance and the rate of change in distance is constant.

Day ____ Average Speed __ Distance

3 __________ 55 __________ 475

4 __________ 58 __________ 660

5 __________ 63 __________ 825

6 __________ 65 __________ 990

7 __________ 68 __________ 1155

The dependent variables are Average speed and Distance.

The rate of change is the change in the dependent variable per change in the independent variable.

Average speed :

The rate of change in speed for the different days is not constant.

Between Day 4 and 3 :

58 - 55 = 3

Between Day 5 and 4 :

63 - 58 = 5

Distance in miles :

Rate of change in distance for the different days is constant

Between Day 4 and 3 :

660 - 475 = 165

Between Day 5 and 4 :

825 - 660 = 165

Between Day 6 and 5 :

990 - 825= 165

Between Day 7 and 6 :

1155 - 990 = 165

Therefore, the rate of change in distance per day is 165 for days 3 to 7.

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Answer:

Distance and 165

Step-by-step explanation:

got it right

Answer:

$192.18

Step-by-step explanation:

$531.49+$240.42+281.67

$1053.58-$275.66-$48.29-$107.64-$429.81

=$192.18

Step-by-step explanation: To write a percent as a fraction in lowest terms, remember that a percent is a ratio that compares a number to 100. In this example, 88% can be written as the ratio 88 to 100 or 88/100. Notice however that 88/100 is not in lowest terms so we need to divide both the numerator and denominator by 4 to get 22/25.

Therefore, 88% can be written as the fraction 22/25.

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 88% as the ratio 88 to 100 or 88 divided by 100. Remember that dividing by 100 moves the decimal point two places to the left so 88 divided by 100 would move the decimal point two places to the left which would give us .88 or 0.88.

Therefore, 88% can be written as the decimal 0.82.

Answer:

Step-by-step explanation:

Y=2

Reflection of a rectangle over the x-axis (y = 0) will generally cause it to map onto itself. The other given lines (y = 2, y = x, and y = 2x) will not typically have this result, unless the rectangle is specifically located on the plane.

In geometry, a shape maps onto itself under reflection when it is reflected over a line that bisects it symmetrically. With a rectangle, this can occur when it is reflected over the x-axis or y-axis, assuming the rectangle's sides are parallel to the axes. From the given options, only y = 0 (x-axis) could create this type of reflection.

Reflection over the line y = 0 will leave a rectangle in the same position if its height is evenly distributed above and below the x-axis. For lines like y = 2, y = x, and y = 2x, they would not bisect a rectangle symmetrically unless the rectangle is specifically positioned, so they will not generally result in the rectangle mapping onto itself.

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Answer: 6. 4,2

              7. 3,2

              8. 5,2

please forgive me if i am incorrect.

Answer:

see explanation

Step-by-step explanation:

Using the midpoint formula to equate the x and y coordinates of the endpoints to the x and y coordinates of the midpoint, that is

(6)

let ( x, y ) be the coordinates of the required endpoint, then

x → [tex]\frac{x+6}{2}[/tex] = 2 ( multiply both sides by 2 )

  x + 6 = 4 ( subtract 6 from both sides )

x = - 2 and

y → [tex]\frac{y+2}{2}[/tex] = 0 , thus

y + 2 = 0 ( subtract 2 from both sides )

y = - 2

Coordinates of the other endpoint = (- 2, - 2)

(7)

x → [tex]\frac{x-4}{2}[/tex] = - 1 ( multiply both sides by 2 )

x - 4 = - 2 ( add 4 to both sides )

x = 2 and

y→ [tex]\frac{y+3}{2}[/tex] = - 1 ( multiply both sides by 2 )

y + 3 = - 2 ( subtract 3 from both sides )

y = - 5

Coordinates of the other endpoint = (2, - 5)

(8)

x → [tex]\frac{x+7}{2}[/tex] = 2 ( multiply both sides by 2 )

x + 7 = 4 ( subtract 7 from both sides )

x = - 3 and

y → [tex]\frac{y+3}{2}[/tex] = 1 ( multiply both sides by 2 )

y + 3 = 2 ( subtract 3 from both sides )

y = - 1

Coordinates of the other endpoint = (- 3, - 1)

Answer:

68 1/2 yd or 68.5 yd

Step-by-step explanation:

You need to add all of the sides (of the figure) to find out what the perimeter is.

Answer:

B

Step-by-step explanation:

In the provided list, 26 and 0.9 are rational numbers. The number 5.737737773... and 45 squared (meant as the square root of 45) are irrational numbers.

In the mentioned list, the number 26 and the fraction 0.9 are rational numbers. A rational number can be expressed as a fraction where both the numerator and the denominator are integers (the denominator cannot be zero), and these numbers satisfy this condition. Examples of rational numbers include integers, fractional numbers, and decimals that terminate or repeat.

The number 5.737737773... and 45 squared (assuming it refers to the square root of 45) are irrational numbers. An irrational number is a number that cannot be expressed as a simple fraction. In the case of 5.737737773..., it seems to be a repeating decimal but the pattern is broken which makes it irrational. The square root of 45 is also irrational because it does not produce a simple fraction and its decimal form does not terminate or repeat.

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Answer:

80%

Step-by-step explanation:

To find the percentage, we have to take 32 over 40 and multiply it by 100

32/40 * 100 = 80%

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Answer:

814.68

Step-by-step explanation:

[tex]650+135.89+28.79=814.68[/tex]

Answer:

$843.47

Step-by-step explanation:

First off I added 650 to 135.89 to get 785.89. Then I added 57.58 because Andrew bought 2 cartridges. Add 57.58 to 785.89, and you get your answer.  

Answer:

x = 3

Step-by-step explanation:

8 - 3x = 17

You have to switch the 8 to the other side. To do this, you would have to move it after the 17 and add a minus to it, making it a -8 (this is because when a number is switched to the other side of the '=' sign, the number gets 'mirrored' aka positive numbers become negative and negative numbers become positive).

3x = 17 - 8

3x = 9

Now you have to do the same thing you did with 8 but instead you have to do it with 3. Since 3 has an invisble 'times sign' by it, the number after the equals will be divided by 3 in this case so...

x = 9 ÷ 3

x = 3

Answer: -3

Step-by-step explanation:

8-3x=17

-8 on both side to cancel it out

-3x=9

divide -3 on both sides

which would equal to -3

To check

8-3(-3)=17

8+9=17

17=17

The given ratio problem can be solved by converting the ratio to an algebraic equation and solving that equation. The total of deer and hunters on the ranch is 629 deer and 111 hunters.

The given ratio is of deer to hunters is 17:3, and their total sum is given as 740. We solve such problems by converting ratio to equation i.e., 17x + 3x = 740, where 'x' is a constant multiplier.

Adding 17x and 3x gives us 20x = 740. By dividing both sides by 20, we calculate the value of 'x' which is 37.

Substitute the value of 'x' in 17x and 3x, we get the number of deer and hunters as 629 and 111 respectively.

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To solve for a variable means to isolate the variable on one side of the equation.

C = 2ar

Simply divide both side by 2a.

Answer: C/2a = r

Done.