A ______ is a rule that pairs each element in one set with exactly one element from a second set.

A certain food has a gluten ratio of 13mg per L of the food.what is the gluten ratio in micrograms per milliliter? PLEASE HELP M

AlekseyPX

Given:
The gluten ratio is 13 mg per L of food.

Note that
1 L = 1000 mL (milliliter)
1 mg = 10⁻³ g
1 μg = 10⁻⁶ g
Therefore
1 mg = 1000 μg

The gluten ratio is
$(13 \frac{mg}{L} )*( 1000 \frac{\mu g}{mg} )*( \frac{1}{1000} \frac{L}{mL} )=13 \frac{\mu g}{mL}$

Answer: The gluten ratio is 13 μg/mL

4 0

4 years ago

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A line passes through (0, –7) and has a slope of -2/3. What is the equation of the line in slope-intercept form

babunello [35]

Answer:

the required equation is y = ( -2/3 )x -7

Step-by-step explanation:

Given :- 

the line passes through the point ( 0 , -7 )

)and slope of the line is ( -2/3 )

• To form an equation when one point and it's slope is given ,

• To form an equation when one point and it's slope is given , we use ;

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variables

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet !

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet ! and m is slope of the tangent !!

y1 = -7

x1 = 0

So, putting all the values in the equation we get ,

$(y - ( - 7)) = \frac{( -2 )}{3} (x - 0) \\ \\ y + 7 = \frac{ - 2}{3} x \\ \\ 3y + 21 = - 2x \\ \\ 3y = - 2x - 21$

$3y = - 21 - 2x \\ \\ y = \frac{ - 2}{3} x - \frac{21}{3 } \\ \\ y = \frac{ - 2}{3} x - 7$

• Slope intercept form of the equation

• Slope intercept form of the equation y = mx + c

• Slope intercept form of the equation y = mx + c Where , m is slope of the line

• Slope intercept form of the equation y = mx + c Where , m is slope of the line and c is y intercept !!

[ also , we can directly put the value of c = -7 and m = ( -2/3 ) from given ]

Hence , here m = (-2/3 ) and c = -7

So, the required equation is y = ( -2/3 )x -7

5 0

3 years ago

(24+3)+3+3 use order of operations to solve

Stella [2.4K]

Answer:

33

Step-by-step explanation:

(24 + 3) + 3 + 3

(27) + 3 + 3 First solve what's in the parenthesis

30 + 3 Then work left to right

33

6 0

3 years ago

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Kendall's sister is 156 months old. Kendall is 3 years older than her sister. How many years old is Kendall?

Lena [83]

Kendall is 16 you do 156/12 and you get 13 then add 3 and you get 16

4 0

4 years ago

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What is the solution of this system of linear equations? 3y = 3/2x + 6 1/2y –1/4 x = 3

Sati [7]

The answer is: [C]: "no solution" .
_________________________________________________________

Given: 3y = 3/2 x + 6 ; Multiply each side by "2" ; to get rid of the fraction

2 * { 3y = 3/2 x + 6 } ; to get: 6y = 3x + 12

Given: 1/2 y –1/4 x = 3 ; Multiply EACH SIDE by "4" ; to get rid of the fraction ;

4 * { 1/2 y – 1/4 x = 3 } ; to get: 2y – x = 12 ;
______________________________________________
So we have:

6y = 3x + 12 ;

2y – x = 12 ;
__________________________________________
Multiply BOTH side of the "second equation" by "-1" ;

-1 * { 2y – x = 12 } ;

to get : x – 2y = -12 ;

Now, add "2y" to each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x" ;

x – 2y + 2y = -12 + 2y ;

to get: x = 2y – 12 ;

Now, consider the "first equation" ;

6y = 3x + 12 ;

Divide EACH SIDE of this equation by "3" ;

6y / 3 = (3x + 12) / 3 ;

to get: 2y = x + 4 ;

Divide EACH SIDE of the equation by "2" ;

2y/ 2 = ( x + 4) /2 ;

to get: y = (x + 4) / 2 ;

Now plug in our calculated value for "x" ; which is:

" x = 2y – 12 " ; for the "x" values

y = [ (2y – 12)] + 4)] / 2 ;

y = (2y – 8 )/ 2

2y = 2y – 8 ??? ;;

The answer is: [C]: "no solution" .
___________________________________________________

7 0

3 years ago

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A ______ is a rule that pairs each element in one set with exactly one element from a second set.​

A ______ is a rule that pairs each element in one set with exactly one element from a second set.