Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees? A) 5 months B) 6 months C) 7 months D) 8 months E) 9 months

Usually dilations have a center of dilation at the origin (0,0). When this occurs all we need to do is multiply each coordinate by the dilation scale. Unfortunately things get a little more complicated when the center of dilation is not at the origin.

In this case the center of dilation is located at F: (3,1)

The first step we must take is to find how many units point F is from vertex A.

In this case, F is 4 unit up and 8 units right of vertex A. (Reference the first image below to see how I found this)

Now we must multiply these dimensions (4 units and 8 units) by the factor of dilation (0.25)

4 * 0.25 = 1

8 * 0.25 = 2

This shows us how many dimensions away point [tex]A^{1}[/tex] is from point F:

1 unit vertically

2 units horizontally

Now how do we know if [tex]A^{1}[/tex] is above or below, left or right from point F? Easy! There has been no translations so the directions will be the same as the original:

Point F: (3, 1) ---> (3-2, 1-1) ---> (1, 0)

Reference the second image to see this

Hopefully this helps and makes sense. Let me know if you need further explanation or clarification.

~Just a girl in love with Shawn Mendes

Answer:

D 1,0

Step-by-step explanation:

credit to the one up above

Answer:

=10.6x104

Step-by-step explanation:

=8.1x104+2.5x104

=(8.1x104+2.5x104)

=10.6x104

(8.1 x104)+(2.5 x 104)

Multiply the numbers

842.4 + (2.5 x 104)

Multiply the numbers

842.4 +260

Now we do the same thing only different way

        2

       2.5

    x 104

________

           100

            000

             2 50 0

______________

            260

Multiply the digits

4 x 5 =20

Take the last digit and write it in the answer line

Carry the next digit and save it for the next calculation

Multiply the digits

4 x 2=8

Add the carried digit for the previous result

8+2 =10

Write the result in the answer line

Move the next digit and write it the next result below

Every digit multiplied by zero equals zero

Move to the next digit an write the next result below

Every digit multiplied by one stays the same

Add the numbers

Move the decimal sign as many times as there are decimal places in both factors combined.

Remove the unnecessary zeros

The result is 260

842.4+260

Add the numbers

1102.4

  842.4

+   260.0

_________

   1102.4

Write zeros to get the same number of decimal places.

Add the digits in the column

4+0=4

Write the result under the column

Add the digits in the column

2+0=2

Solution: 1102 .4

Alternate form : 5512/5 , 1102 2/5

PLEASE MARK ME AS BRAINLIEST

Answer:

Substitute

Step-by-step explanation:

Answer:

JKM = 36

Step-by-step explanation:

JKL = 72

KM bisects JKL - cuts into two equal parts

72 / 2 = 36

JKM = 36

Please let me know if I'm wrong!

Answer:

yes it is because it is expressed in the form of a p/q

Step-by-step explanation:

If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.

so yes 10/2 is a rational number

oh and i mean yes its rational no its not irrational :)

No, it is not an irrational number.

Irrational numbers are those who cannot be turned into a fraction.

10/2 is a fraction. Therefore, it is a Rational number.

[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]

To do so, divide the numerator (Top number) by the denominator (Bottom number).  

Answer:

10

Step-by-step explanation:

Answer:

Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.

Example:

Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).

First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.

We have: |-2-(-7)| = |5| = 5.

Then repeat with the y-coordinates.

We have: |8-(-5)| = |13| = 13.

NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.

Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:

[tex]5^{2}[/tex]  +  [tex]13^{2}[/tex]  = 25  +  169  =  194

Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:

[tex]\sqrt(194)[/tex]  =  13.93

By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.

The general formula for distance between two points is the following:  [tex]\sqrt{x^2+y^{2}[/tex]  , where x and y are the change in x and y between the two points.

Answer:

i need to know what for

Step-by-step explanation:

Answer:

forrr rwhatttt

Step-by-step explanation:

Answer:

E. Definition of Supplementary Angles

Step-by-step explanation:

Answer:

x = -4/5

Step-by-step explanation:

Solve for x:

(5 x + 4) (8 x - 71) = 0

Split into two equations:

5 x + 4 = 0 or 8 x - 71 = 0

Subtract 4 from both sides:

5 x = -4 or 8 x - 71 = 0

Divide both sides by 5:

x = -4/5 or 8 x - 71 = 0

Add 71 to both sides:

x = -4/5 or 8 x = 71

Divide both sides by 8:

Answer:  x = -4/5 or x = 71/8

Answer: 15:26

Step-by-step explanation:

Given: Car a travels 15 miles while car b travels 26 miles.

Now, the ratio of the distance traveled by car a to car b is given by :-

[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.

So, the the ratio of the distance traveled by car a to car b = 15:26

Hence, the ratio of car a to car b = 15:26

-5=r/9

-45=r

Step-by-step explanation:

you're just trying to get the r alone. so you have to subtract the 8 and multiply the nine. you're just reversing the problem.

Answer:

Hey!

Your answer is $118.75!

Step-by-step explanation: How did I get this?

STEP 1: So we know that for a ton of rock costs us $47.50...

To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...

(47.50 x 2 = 95)

STEP 2: So for $95, you will get 2 tons of rock!

Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2

(47.50 ÷ 2 = 23.75)

STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.

What we do now is easy...we ADD THE VALUES TOGTHER!

(95 + 23.75 = $118.75)

The result of $118.75 after adding them together is the PRICE OF 2 TONS!

I HOPE THIS HELPED YOU!

Answer:

$118.75

Step-by-step explanation:

Okay, we know a rock per ton is $47.50.

What we need to know is how much 2.5 tons cost.

So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:

($47.50 * 2.5) = $118.75

So 2.5 tons of rock costs $118.75

Have a great day! :)

Answer: A

Graph cut the horizontal and vertical axis at 2 points A(0;5) and B(1.66666;0)

you calc x=0 in the answer and have y

you can choose A or B. Next, you calc y=0 into A,B. If x=1.6666666, your answer is A

Sorry about my bad english

Answer:

their both the same

Step-by-step explanation:

add and subtract divide multiply

Answer:

$10,000

Step by step:

Banks earnings(10%)=x

Pams earnings(4% of banks earnings)=y

10% of $2.5m= $250,000=x

4%(1/25) of $250,000=$10,000=y

Answer:

A

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer:

=-1024

Step-by-step explanation:

Hope this helps (:

Answer:

an exact location should be the right answer

Answer:

Explanation:

PART 1. Using an algorithm:

First expression:

Step 1: Multiply numerators and denominators.

Second expression:

Step 1: Multiply numerators and denominators.

Third expression:

Step 1: Convert mixed fraction into improper fraction:

Step 2: Replace the improper form into the expression

Step 2: Multiply numerators and denominators.

PART 2. Using diagram:

The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.

Step-by-step explanation:

Answer:

hhahaahhahahaahhaahaha yalll so dum hahahahahahahhahaahah

Step-by-step explanation:

this is easy. hahahahahahahhaahahhaahahahhaahhaahahahaha

Answer:

cuatro terminos

Answer:

$5.25

Step-by-step explanation:

Step 1:

10.50 / 6 = x / 3       Equation

Step 2:

6x = 31.5      Multiply

Step 3:

x = 31.5 ÷ 6      Divide

Answer:

x = 5.25

Hope This Helps :)

Answer:

1. x= 17

2. x= 31

3. x= 4

4. x= 40

Step-by-step explanation:

first one:

you pass the 10 dividing

x-7 = 100/10  ----> x-7 =10

Pass the 7 adding

x = 10+7 ---> x= 17

second one:

Pass the 7 multiplying

x+11= 6*7 ---> x+11= 42

Pass the 11 in substraction

x = 42-11  ----> x =31

third one:

Add the 3+8 = 11

Pass the 11 dividing

x*11 = 44 -----> x= 44/11 ---> x= 4

fourth one:

Rest the 8-4 = 4

Pass the 4 multiplying

x/ 4 = 10 -----> x = 4*10 ---> x= 40

Answer:

(2y+50)+(7x-248)=180    (solve for x and y)    supplementary angles add up to 180 and these two angles are supplementary complements

(5y-17) + (x+44) = 180   (solve for x and y)

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

First let's replace the values x and y.

4y + 2x + 30 will become (4 * 5) + (2 * 2) + 30

Then we do order of operations.

(4 * 5) is 20..

20 + (2 * 2) + 30

Then we do (2 * 2) which is just four.

20 + 4 + 30

Lastly we add it all up.

24 + 30 = 54

I hope this helps, I hope it's not wrong, but I don't think it is.

Answer:

A or d

Step-by-step explanation:a or d

A or d

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

We need to find which set contains the value 50.

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers.

Here, 50 is not an irrational number.

Rational numbers: A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Here, 50=50/1 is a rational number.

Natural numbers: Natural numbers are the numbers that start from 1 and end at infinity.

So, 50 is a natural number.

Integers: An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

So, 50 is an integer.

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

To learn more about the real numbers visit:

https://brainly.com/question/9876116.

#SPJ2

x = 5/4   or   x = 15/4

Step-by-step explanation: