Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?

Step-by-step explanation:

If two lines have the same slope and the same y-intercept, there are infinite solutions.

If two lines have the same slope and different y-intercepts, there are zero solutions.

Otherwise, if the two lines have different slopes, then there is one solution.

The slope of the first line is 3/8.  The slope of the second line is 16/32 = 1/2.  The slopes are different, so there is only one solution.

The solution of the given system of equations is (x, y) = (8.75, 2).

Given: System of equations

3x - 8y = 10                           …(1)

16x - 32y = 75                       …(2)

Consider equation (2).

⇒ 16x - 32y = 75

Dividing both sides by 16, we get:

⇒ x - 2y = 75/16

⇒ x = 2y + 75/16                  …(3)

Now, substitute the value of x = 2y + 75/16 in equation (1), we get:

⇒ 3(2y + 75/16) - 8y = 10

⇒ 6y + 225/16 - 8y = 10

⇒ 2y = 225/16 - 10

⇒ 2y = (225 - 160)/16

⇒ 2y = 65/16

⇒ y = 65/32

⇒ y ≈ 2

Now, put the value of y = 65/32 in equation (3), we get:

⇒ x = 2(65/32) + 75/16

⇒ x = (65/16) + (75/16)

⇒ x = 140/16

⇒ x = 8.75

Therefore, the solution for the given simultaneous equation is;

(x, y) = (8.75, 2)

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Answer:

Third option: [tex]-10x^7y^2[/tex]

Step-by-step explanation:

[tex]12x^4\left(-\frac{5}{6}x^3y^2\right)[/tex]

Remove brackets:

[tex]12x^4\times-\frac{5}{6}x^3y^2[/tex]

Multiply the [tex]x^2[/tex]:

[tex]12\times-\frac{5}{6}x^{4+3}\times y^2[/tex]

[tex]12\times - \frac{5}{6}x^7y^2[/tex]

Multiply:

[tex]-\frac{5\times \:12x^7y^2}{6}[/tex]

[tex]-\frac{60x^7y^2}{6}[/tex]

Divide:

[tex]-10x^7y^2[/tex]

Answer:

the answer to your question is -10(x^7) (y^2)

please give brainlist

in the way you wrote it the answer would be

1

_ ----

3

but but if you meant to do it backwards 7/15 and 2/15 the answer will 1

-----

3

hope this helped

Answer:

Hi there

Step-by-step explanation:

A linear function is a type of function and so must follow certain rules to be classified as a “function”. For example, functions can only have one output for each input. On the other hand, equations are just statements that make two things equal, like x = y or 52x = 100.

~Your Welcome! :)

parallelogram

Step-by-step explanation:

it has 4 sides but is not a rectangle

Answer:

Step-by-step explanation:

3.2

Answer:

3.2

Step-by-step explanation:

jdjdhdidndidnnidndindinidnndindnd

Answer:

13 seconds

Step-by-step explanation:

It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0

Answer:

equation calculator help u out

Answer:

y = 27.5

Step-by-step explanation:

120 (x) - 55 (y) = 65

65 / 2 = 32.5

60 - 32.5 = 27.5

x = 60 and y = 27.5

I really hope this helps...

Answer:

The youngest brother is James and his age is 18 Years.

Step wise explaination:

Lets suppose,

age of James = x

age of Brandon = 2x

age of Marshall = 2x - 11

The sum of ages of three brothers = 79

now,

finding the value of x,

x + 2x + 2x - 11 = 79

or, 5x - 11 = 79

or, 5x = 79 + 11

or, 5x = 90

or, x = 90

5

so, x = 18.

Then,

age of James = 18.

age of Brandon = 2×18 = 36.

age of Marshall = (2×18) - 11 = 25.

Therefore,

The youngest brother is James and his age is 18 Years.

Answer:

a=35

b=20

Step-by-step explanation:

a+b =55

a=b+15

b+15 +b =55

2b=55 - 15

2b=40

b=40 :2

b=20 (the smallest number)

a=20 +15 =35 (the largest number)

Step-by-step explanation:

55=x+15

-15     -15

40=x

Hope it helps!

Answer:

The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)

Answer:

-  1    

    9

Step-by-step explanation:

-     2      

  3  *   6  

- 2    

  18

= -  1    

      9

Answer:

No

Step-by-step explanation:

Even though he has a 1/6 chance of rolling it he still has a 16.67% percent chance

Answer:

here's the sample answer!

Jamie is not correct. No matter how many times the cube is rolled, the probability of rolling a 5 will be 1/6.

Step-by-step explanation:

Answer:

1) 21

2) -10

3)10

4)50

5) 3,700

Answer:

The answer is

Step-by-step explanation:

The length of the segment connecting two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

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

From the question the points are

A(1,3) and B(6,5)

The length is

[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]

We have the final answer as

[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]

Hope this helps you

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

[tex](9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)[/tex]

First of all, let's open the parentheses to combine the like terms for simplifying.

[tex]9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2[/tex]

Arranging the like terms, x² with x², x with x and constant terms near to each other.

[tex]9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2[/tex]

Simplying further,

[tex](9 - 3) {x}^{2} - 3x + 9[/tex]

[tex]6 {x}^{2} - 3x + 9[/tex]

So, the correct option is C

━━━━━━━━━━━━━━━━━━━━

Answer:

-2+31

Step-by-step explanation:

conjugate in simple terms is that it is taken in opposite sign.

for example the conjugate of [tex]5+\sqrt{2}\\[/tex]  is [tex]5-\sqrt{2}[/tex]

If u understood the concept...pls mark as Brainliest!

Answer:

answer is b juicy how to do it

Answer: 148

Step-by-step explanation:

Answer:

3(8⋅7−45)+5(6⋅4−1) = 148

Decimal Answer: 7.23

Step-by-step explanation: 7+23/100 = 7.23

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

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

From the question the points are

(3,-12) and (3,-8)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 3})^{2} + ({ - 12 + 8})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer: 4

Step-by-step explanation: 8-12=4

Answer:

They're parallel because the first part of the equations have the same numbers/variables (can see down below in bold). This tells us whether or not it's parallel. There's no need for any calculations due to this.

5x - 2y = 2

and

5x - 2y = 8

The answer of the equations doesn't affect it, only is they're the same number. Then it becomes overlap.

For Example:

5x - 2y = 9

and

5x - 2y = 9

they're the same, meaning overlap.

Answer:

x= - 13

Step-by-step explanation:

2(3x+6) = 3(x-9)

6x+12 = 3x -27

-3x        -3x

3x+12=-27

    -12   -12

3x= -39

/3     /3

x= - 13

Answer:

x = -13

Step-by-step explanation:

2(3x + 6) = 3( x - 9)​

Distribute

6x +12 = 3x - 27

Subtract 3x from each side

6x-3x+12 = 3x-27-3x

3x+12 = -27

Subtract 12 from each side

3x+12-12 = -27-12

3x = -39

Divide by 3

3x/3 = -39/3

x = -13

Answer:

18

Step-by-step explanation:

58 - |-40| =

58 -40=

18

Answer:

18

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| a | = | - a | = a

Given

58 - | n | , substitute n = - 40

58 - | - 40 |

= 58 - 40

= 18

Answer:

Look at the graph for help

Step-by-step explanation:

if you need to graph us desmos graphing its free just plug in you cordinates

The number of students studying nursing is 17.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given that In a tutorial group of 30 students,17 students studied nursing,15 studied economics while 11 studied neither nursing nor economics.

It is clearly mentioned in the question that the number of students studying nursing is 17.

Therefore, the number of students studying nursing is 17.

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Answer:

here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

$3.78

Step-by-step explanation:

$1.79+$1.99=$3.78

Answer:

$3.78

Step-by-step explanation:

true