Can someone please work this out step by step for me

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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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:

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:

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.

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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

Decimal Answer: 7.23

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

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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:

$3.78

Step-by-step explanation:

$1.79+$1.99=$3.78

Answer:

$3.78

Step-by-step explanation:

true

Answer:

38-c

Step-by-step explanation:

We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.

Answer:

1. Simplify each side of the equation by removing parentheses and combining like terms.

2. Use addition or subtraction to isolate the variable term on one side of the equation.

3. Use multiplication or division to solve for the variable.

Answer:

56

Step-by-step explanation:

Answer: Rate of water flow is 12/5 gallon per minute

Step-by-step explanation:

Given the following :

Volume of faucet pot = 2 gallon

Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.

Rate of water flow:

Volume of faucet pot / time taken

= 2 gallon ÷ (5/6) minute

= 2 gallon × (6/5) minutes

= (12 /5) gallon / minute

= 2 2/5 gallon / minute

Hence rate of water flow is 12/5 gallon per minute.

Answer:

2 2/5

Step-by-step explanation:

2 2/5

parallelogram

Step-by-step explanation:

it has 4 sides but is not a rectangle

0.08

(4/5)/10 =

= 4/5 : 10/1

= 4/5 × 1/10

= ²⁾4/50

= 8/100

= 0.08

Answer: 148

Step-by-step explanation:

Answer:

3(8⋅7−45)+5(6⋅4−1) = 148

Answer:

10⁻⁵

Step-by-step explanation:

1 / 100000

1 / 10⁵

10⁻⁵

After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information in the question,

The given fraction is,

1/10000

The value, 100000 is in the  denumerator so, the power should be in negative.

So, it can be written as,

1 × 10⁻⁵.

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Answer:

Step-by-step explanation:

3.2

Answer:

3.2

Step-by-step explanation:

jdjdhdidndidnnidndindinidnndindnd

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

━━━━━━━━━━━━━━━━━━━━

(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

Answer:

Pi is an irrational number

Step-by-step explanation:

Pi is an irrational number because it cannot be written down as a simple fraction.

Answer:

We know that pi is a number that never ends. Its decimals can be written out forever endlessly. Therefore, it must be an irrational number.

Step-by-step explanation:

First, let us go over the different types of numbers:

Natural Numbers - 1, 2, 3, ...

Whole Numbers - All natural numbers including 0

Integers - All whole numbers, both positive and negative

Rational Numbers - All numbers, both positive and negative that can be represented as a fraction. In other words, they have a terminating decimal point

Irrational Numbers - Numbers that cannot be written as a fraction. Numbers who have an infinite number of decimal points

Real Numbers - Includes everything else listed.

Answer:

answer is b juicy how to do it

Answer:

1) 21

2) -10

3)10

4)50

5) 3,700

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:

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:

-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]

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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:

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.