One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 179.3 milligrams of vitamin C. Four eight-ounce glasses of juice and three eight-ounce glasses of orange juice contain a total of 632.1 milligrams of vitamin C. How much vitamin C is in an eight ounce glass of each type of juice?

8 ounces has = 2661.81685milligrams vitamin C in apple juice = 2.66181685 grams and 8 ounces has = 3549.60145milligrams vitamin C in orange juice =3.54960145 grams

Step-by-step explanation:                                                                    28.3495231 g = 1 ounce   28349.5231 mg  = 1 ounce   Therefore simultaneous equations can be done once converted  What we will see is it is easier if back to ounces once you learn how to do scientific notation scientific notation convert as 1 ounce =  0.00632462mg = (6.32462 *10^-3) So if you are not confident with scientific notation you can instead convert an ounce of juice to mg and multiply by 1/8 = 28349.5231  * 1/8 = 3543.69039 a    and   3543.69039 o to start a simultaneous equation  3543.69039 a  + 3543.69039 o = 179.3  and  4/8 = 4 *  3543.69039  = 14174.7616o (  + 3543.69039 * 3  (of 3/8) ) =10631.0712a    =  14174.7616o + 10631.0712a = 632.1   to cancel out 10631.0712a we have to make a = a  or o=o  Therefore 3543.69039 = o  3543.69039 * 4 will make all equal for equation 1    = 14174.7616a +14174.7616o = 179.3 *4 = 717.2  then subtract equation 2 as it is lower now  14174.7616a +14174.7616o = 179.3 *4 = 717.2  -   14174.7616a + 10631.0712o = 632.1    cancels out ( a) now to show 14174.7616o = 717.2  - 10631.0712o = 632.1  = 14174.7616 - 10631.0712=  (3543.6904o  = (717.2 -632.1) )  =  3543.6904o = 85.1 o = 3543.6904/85.1  o = 41.6414853milligrams   and a = input for o   showing original equation    14174.7616 (41.6414853) + 10631.0712a = 632.1  = 590258.127 + 10631.0712a  = 632.1  = 10631.0712a  = (632.1 - 590258.127) = a = -589626.027/ 10631.0712 = -55.4625226   a= - 55.6 and o =41.6 we then Check other SEQ  3543.69039 ( 41.6414853) (For apple juice (a))  + 3543.69039 o = 179.3   = 147564.531 a + 3543.69039 o = 179.3   = 3543.69039 o = 179.3 - 147564.531 (/3543.69039) = o = -41.5908882 so proves all is positive    Check other SEQ  3543.69039 + 3543.69039 ( 41.6414853) = 179.3 is the same and correct to o= 41.5908882 and a =55.4625226   we just multiply these by 8 and 8 again to get 8 ounces  41.5908882 * 8 =332.727106* 8 =2661.81685  (same as (a*64)  and o*8*8 = 55.4625226 * 8 =443.700181 * 8 =3549.60145 and we have our answer s   vitamin C in apple juice = 2661.81685milligrams  = 2.66181685 g and vitamin C in orange juice = =3549.60145milligrams = 3.54960145g

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form