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?

Answers

Answer 1

Answer:

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


Related Questions

What should be the first step to solve the equation?
2x + 9(x - 1) = 8(2x + 2) - 5
O Combine like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.

Answers

Answer:

Your answer would be to Use the distributive property on each side of the equation.

Step-by-step explanation:

You would first expand the equation by using the distributive property on each side of the equation

[tex]2x + 9(x - 1) = 8(2x + 2) - 5\\2x + 9(x) 9(-1) = 8(2x) 8(2) - 5\\2x + 9x-9 = 16x+16 - 5[/tex]

Then you would combine like terms on both sides

[tex]2x+9x-9=11x-9\\16x+16-5=16x+11[/tex]

Now you solve for x

[tex]11x-9=16x+11[/tex]

You subtract 11x from both sides

[tex]11x-9=16x+11\\-11x=-11x[/tex]

Then you subtract 11 from both sides

[tex]-9=5x+11\\-11=-11[/tex]

Then you divide 5 on both sides

[tex]-20=5x[/tex]

[tex]\frac{-20}{5} =\frac{5x}{5}[/tex]

[tex]x=-4[/tex]

Answer:

B

Step-by-step explanation:

(02.03 MC) The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, 1 vertex B on ordered pair negative 3,1, and vertex C on ordered pair negative 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair 4, 4, vertex B prime on ordered pair 3, 4, and vertex C prime on ordered pair 4,1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) Group of answer choices A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin

Answers

Answer:

Step-by-step explanation:

A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin

Step-by-step explanation:

The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.

If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:

There are 54 students in a class. The Venn diagram below shows how many students play a sport, take a foreign language, do both, or do neither.
Complete the following two-way frequency table.

Answers

Answer:

Hope this helps, please mark brainliest that means a lot to me thanks! :)

Step-by-step explanation:

Take language 21 | 17

Doesn't take language 12 | 4

helpppp!! whats the answer

Answers

Answer:

i think it is 13

Step-by-step explanation:

You take the square root of a2 + b2 and the result is the length of the hypotenuse

when 3x² - 2x + 1 is subtracted from 2x² +7x + 5, the result will be?​

Answers

Answer:

-x²+9x+4

Step-by-step explanation:

Hope this helps!

Answer:

-x^2+9x+4

Step-by-step explanation:

 2x² +7x + 5

- 3x² - 2x + 1

-x^2+9x+4

Calculate the new selling price of an item worth $45.50 with 12% discount.

Answers

Answer:

40.04

Step-by-step explanation:

45.50÷100×12

=5.46

45.50-5.46

=40.04

Give BRAINLIST pls

solve????????????????

Answers

Answer:

The answer is 11/2 or 5 1/2

Step-by-step explanation:

11 × 1/2 = 11/2 = 5 1/2

Thus, The answer is 11/2 or 5 1/2

-TheUnknownScientist 72

Explain why the expressions
10 • 16 + 5 and (10 • 16) + 5 are equivalent.

Answers

Answer:

These two equations are equivalent because the order of operations states you work from the right to the left and do the multiplication first. Because we do the multiplication first, we get the same answer as the other equation because the parentheses are also done first, meaning these equations both get the same answer.

Step-by-step explanation:

Mackenzie is playing a game with friends. Her score
at the end of round one wes 32 points. In round two,
she gets the question wrong and loses 75 points. How
many points does Mackenzie have at the end of round

Answers

Answer:

-43

Step-by-step explanation:

32 points minus 75 points is -43

Please please help please please help me please please help please please help me I REALLY NEED HELP PLEASE

Answers

Answer:

6789

Step-by-step explanation:

If you start at –3 tenths of a unit and then move right 4 tenths of a unit, where do you end up?

Answers

Answer:

I don't know what to do with it

-3/10 -2/10 -1/10 0/10 1/10 ....
1/10
draw number line. move right 4

At a deli counter, there are 9 sandwiches with meat and 10 vegetarian sandwiches. Diane is at the counter buying sandwiches for a picnic. In how many ways
can she choose 9 sandwiches if 7 or more must be vegetarian sandwiches?

Answers

Answer:

Step-by-step explanation:

three ways

1) all 9 are veg

2) 8 are veg and 1 has meat

3) 7 are veg and 2 have meat

There are 3 different ways of choosing  9 sandwiches if 7 or more must be vegetarian sandwiches

What is Combination?

An arrangement of objects where the order in which the objects are selected does not matter.

Given that at a deli counter, there are 9 sandwiches with meat and 10 vegetarian sandwiches.

9 -Meat sandwiches

10 - veg sandwiches

Diane is at the counter buying sandwiches for a picnic.

we need to find in  how many ways can she choose 9 sandwiches if 7 or more must be vegetarian sandwiches

There are 3 different ways of choosing  9 sandwiches.

All 9 are vegetarian sandwiches

8 are vegetarian sandwiches and 1 is meat sandwiches

7 are vegetarian sandwiches and 2 are meat sandwiches

Hence, there are 3 different ways of choosing  9 sandwiches if 7 or more must be vegetarian sandwiches

To learn more on Combinations click:

https://brainly.com/question/19692242

#SPJ2

What does X equal X=?

Answers

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol. See: Variable.

(7x - 5)
(10x + 15)
+
ак
Ob|c
0|| 0
ble
Cld
cle
Mark this and return
Save and ??

Answers

Answer:

  b║c

  c║d

Step-by-step explanation:

For x=10, the marked angles are ...

  (7x-5)° = (70 -5)° = 65°

  (10x +15)° = (100 +15)° = 115°

  (12x -5)° = (120 -5)° = 115°

  (8x -25)° = (80 -25)° = 55°

We notice that the alternate interior angles between lines c and d are congruent, so those lines are parallel. The acute angle at line b is supplementary to the obtuse angle at lines c and d, so line b is parallel to those two lines, as well.

The angle at line e is not related to any of the other angles, so that line is not parallel to any of the others shown.

  b║c║d

The answer choices appear garbled, but any choice involving 'a' or 'e' must be eliminated.

Q7. Ezri can type 600 words in 8 minutes. How many words can she type in 11
minutes?

Answers

Answer:

Step-by-step explanation

Did you mean "How long will it take Johnny to TYPE a 2100 word essay?

If so, do the following:

Let x = the number of minutes to type a 2100 word essay

600/8 = 2100/x

600x = 16,800

x = 28 minutes

pls look at attached picture i have tried asking many and no one can explain it to me

Answers

Answer: a = 0.98

Explanation: For this case we have the following table:

x | P(x)

0| 0.1296

1| 0.3456

2| 0.3456

3 | 0.1536

4| 0.0256

We can find the expected value as:

E(X)= 0*0.1296 + 1*0.3456+ 2*0.3456+ 3*0.1536+ 4*0.0256= 1.6

Now we can find the second moment like this:

E(X^2)= 0^2*0.1296 + 1^2*0.3456+ 2^2*0.3456+ 3^2*0.1536+ 4^2*0.0256= 3.52

And the variance is given by:

Var(X)= E(X^2)- [E(X)]^2 = 3.52 -(1.6^2)=0.96

Then the standard deviation is:

Sd(X)= sqrt(0.96)=0.98

Can anybody help????

Answers

Answer:

x = 110° (vertically opposite angel)

Answer:

[tex]x = 110[/tex]

vertical angel are opposite side are equal ( = )

4/3 x 1/2 = 4/3 ÷ Can you please help me with this? I’d appreciate it.

Answers

Answer:

[tex]\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\frac{2}{1}}[/tex]

Step-by-step explanation:

The mathematical operation of division is the opposite of multiplication. When you divide two fractions, you will have to take the reciprocal of the divisor, and multiply it with the dividend.  

In the given equation, [tex]\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\:?}[/tex], we can rewrite this as:  [tex]\mathsf{\frac{4}{3} \:\div\:?\:=\:\frac{4}{3} \:\times\frac{1}{2}}[/tex].

As previously mentioned, division is opposite of multiplication. Since the multiplicand  in the multiplication of two fractions is ½, then we can assume that the divisor (or the missing fraction) must be the reciprocal of ½, which is  [tex]\mathsf{\frac{2}{1}\:or\:2}[/tex].

Therefore, the missing fraction that completes the given mathematical statement is [tex]\mathsf{\frac{2}{1}\:or\:2}[/tex].  

[tex]\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\frac{2}{1}}[/tex]

Math expert please
Factor this completely

Answers

Answer:

4(x -4)(2x +1)

Step-by-step explanation:

8x² -16 -28x , rearrange it so the exponents will be going form highest to lowest

8x²-28x -16, factor 4

4(2x² -7x -4),

            to get 2x² we need to multiply an x and a 2x

            to get -4 we need to multyply 1 and -4 or -1 and 4 or 2 and -2 (can use       trial and error method here)

4(x -4)(2x +1)

Check

4(x-4)(2x+1) = (4x -16)(2x+1) = 8x² +4x -32x -16 = 8x²-28x -16

PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported

Answers

Answer:

2, 32

Step-by-step explanation:

The question is asking where X could be (what value it could have) to make it 15 away from W, making a line segment of that length if they were to be connected. This can be solved by individually adding and subtracting 15 to/from the value of W: 17. Adding 15 to 17 gives you 32, while subtracting gives you 2, and X could be either of these, so your answer is 2, 32. (It's common to order them in increasing order, but you shouldn't be marked off if you do it in reverse.)

Based on the chart below if Lucas drives 45 miles per hour in a 20 miles per hour zone, how much should he expect to pay for his ticket?

Answers

Answer:

where is the chart? ?????

If Betty makes monthly deposits at the end of each month in an account that earns 8% interest compounded monthly,
(a) How much would she have to deposit every month in order to have $40,000 in the account in 9 years? $
(b) Find her total balance in the account at the end of three months. $
(c) Find the total amount of interest that she's earned after the 9 years. $

Answers

9514 1404 393

Answer:

  (a) $254.08

  (b) $767.34

  (c) $12,449.36

Step-by-step explanation:

These questions are best answered by a financial calculator or app. Such are available for your phone or tablet. A spreadsheet also has built-in functions for making these calculations.

(a) FV = $40,000, i = 8% per year, n = 9 years (108 months), compounding 12 times per year. The monthly deposit needs to be $254.08.

__

(b) Payment = $254.08, n = 3 months, i = 8%/year, compounding 12 times per year. FV = $767.34.

__

(c) The sum of 108 payments of $254.08 is ...

  108 × $254.08 = $27,440.64

The interest earned is enough to bring the account value to $40,000, so is ...

  $40,000 -27,440.64 = $12,559.36

_____

Additional comment

The amount $254.08 is rounded down to the nearest cent, so the balance after 9 years will be $39,999.70, which is $0.30 short of $40,000. We used $40,000 as the final account balance, so overestimated the interest by $0.30.

There may be additional small changes in the values if you round interest to the nearest cent each month the way a financial institution would. It is hard to tell in these problems how accurate you're intended to be in your calculations.

which area of the rectangle is correct?

Answers

Answer:

THE LAST ONE 3/2/3 is the answer give brainliest

The price of tickets to the Dakota vs. Chippewa football game goes from $6 to $4, which results in a 50% change in demand for tickets. What is the elasticity? What type of product is it?

Answers

It is elastic and it is a good commodity

The perimeter of a rectangle is at least 32 cm. The length of the rectangle is 9 cm. What are the possible widths of the rectangle? Show your work.

Answers

Answer:7 on both sides all together 14

Step-by-step explanation:32 is length and width combined so 18 all together for width which leaves 14 cm for width so both sides are 7

Answer:

  width ≥ 7 cm

Step-by-step explanation:

The perimeter formula is ...

  P = 2(L +W)

We have P ≥ 32 and L = 9. We want to find W. (Dimensions are cm.)

  2(9 +W) ≥ 32 . . . . substitute for P and L

  2W ≥ 14 . . . . . . . subtract 18 and simplify

  W ≥ 7 . . . . . . . . . divide by 2

Possible widths are at least 7 cm.

A school has 19 tables in the cafeteria. Each table seats 24 students. What is the greatest number of students that can be seated at these tables?

Answers

Answer:

456

Step-by-step explanation:

19 * 24 = 456

Out of the 50 students in Mrs. Green's class, 9 have a pet. What percent of the students in Mrs. Green's class have a pet?


The percent of students in Mrs. Green's class that have a pet is_____%

Answers

Answer:

4.5% i think reason usually percent is compared in 100% and out of 100 10 means 10 % so 4.5 is the answer

Answer:

18%

Step-by-step explanation:

9÷50×100 = 18%

9 means how many students have pets

50 means how many students are in Mrs. Green's class

18% is how many students that have a pet in Mrs. Greens class

A club is participating in a clothing drive. They receive 17 coupons to a pizza place for participating in the drive. For every 60 articles of clothing collected, they will get an additional 11 tickets.

A) Write an equation relating the articles of clothing collected and number of coupons collected using the variables A and C

Answers

Answer:

736

Step-by-step explanation:I am dum

\

What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9

Answers

Answer:

Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.

Step-by-step explanation:

A regular polygon has a perimeter of 42 feet. Each side of the polygon measures 7 feet. what is the name of the polygon?

Answers

Answer:

hexagon

Step-by-step explanation:

42/7 = 6

Hexagon has six sides

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