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Tcecarenko [31]
3 years ago
12

14 less than a number is 2 more than 9 times a number

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

Let the number be  'x'

x - 14 = 2 + 9x

Subtract x from both sides

- 14 = 2 + 9x - x

-14 = 2 + 8x

Subtract 2 from both sides

-14-2 = 8x

 -16 = 8x

Divide both sides by 8

-16/8 = x

x = -2

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How much, in total, did Noel spend to cash her three most recent paychecks?
astra-53 [7]

The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

<h3>What is a paycheck?</h3>

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

<h3>How to calculate the amount spent.</h3>

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

Read more on paycheck here: brainly.com/question/26174938

7 0
2 years ago
which of the following is a result of shiftinga circle with equation (×-2)+(y-3)^2= 25 to the left 2 unit ?​
Paha777 [63]

Answer:

x^2+(y-1)^2=25

Step-by-step explanation:

eqn of circle : (x-h)^2+(y-k)^2=r^2

center of circle = (h,k)

hence, the center of the current circle is (2,3)

moving 2 units to the left would make the center (0,1)

the radius would remain the same (5) , hence the new eqn would be

(x-0)^2+(y-1)^2=25

x^2+(y-1)^2=25

4 0
2 years ago
PLEASE HELP I HAVE NO IDEA HOW TO ANSWER THIS :(
dolphi86 [110]

The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

                 Right angled triangle,

                 Side lengths are 8, 15, and 17  

Step:1

                The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

               Ref the attachment,

               For angle a,

                            ...................................................(1)

                 Where,  Opp - 8

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.470588

                                      (0.470588)

                                   a = 28.072°

                    For angle b,

                                  ...................................................(1)

                 Where,  Opp - 15

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.882352

                                      (0.882352)

                                   b = 61.93°

Step:2

          Check for solution for right angle triangle,

                        90 ° = Other 2 angles

                        90 ° = a + b

                        90 ° = 28.072° + 61.93°

                        90 ° = 90 °

Result:

          The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

7 0
3 years ago
Need help with dilation with a scale factor of 1/2 centered at (−1, 3)
Studentka2010 [4]

A scale factor of 1/2 makes the triangle half the size of the original.


The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.

It is 6 units long, so 1/2 would be 3 units long.


Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:


Midpoint ( -1-5/2 , 3+7/2)

Midpoint = (-6/2 , 10/2)

Midpoint = -3,5


This is where the top left corner of the scaled triangle would be.


See attached picture:


4 0
3 years ago
What is 4/5 of 55?<br> Pls help me
rjkz [21]

Answer:

44

Step-by-step explanation:

4 0
2 years ago
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