A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Answers

Answer 1

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

Answer 2

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

(0.2a + 0.15b) = 100.5a - b = 30

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

(0.2a + 0.15b) = 100.5 - - - - - (1)

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

a - b = 30 - - - - - (2)

The system of equations required to determine the amount of drink A and B made are :

(0.2a + 0.15b) = 100.5a - b = 30

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Related Questions

The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.

y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +

Answers

Answer:

B, C, E Is the answer on edge :3

Step-by-step explanation:

Have a good day :3

Answer:

B C E

Step-by-step explanation:

Katsuki Bakugou was here you Extras

Write an equation in slope-intercept form for the line parallel to y=3x-2 that passes through the point (5,-2)

Answers

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the given line, y = 3x - 2 is 3.

The equation we are looking for is of the form

y = mx + b

Since we know the slope, m, is 3, we have

y = 3x + b

To find the value of b, we substitute x and y with the values from the given point and solve for b.

-2 = 3(5) + b

b = -17

The equation is

y = 3x - 17

True or false

In order to
calculate interest, it is
the Principal times the
Rate minus any
Overdraft Fees.

Answers

Answer:

true

Step-by-step explanation:

Hope this helps. :)

an elevator began at an elevation of 85.5 feet and ascended at a rate of 2.75 feet per second. what was the elevation of the elevator after 8 seconds?

Answers

Answer:

107.5

Step-by-step explanation:

8 × 2.75ft = 22ft

22ft + 85.5ft = 107.5ft

Answer:

107.1

Step-by-step explanation:

the elevator is at 85.5 feet.

if the ascending (going up) rate is 2.75 and you want to know how far in 8 seconds, it's an easy process.

1. find the direction your going (up or down)

2. how far? (what rate for this one)

3. multiply said problem (2.75 x 8)

4. get your answer (21.6 ft per 8 seconds)

5. add or subtract to the height you are at now (85.5 ft)

6. you now have your answer! (107.1 ft in the air)

33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))

Answers

Given:

[tex]d(t)=80t[/tex]

[tex]C(d)=0.09d[/tex]

To find:

The value of [tex]C(d(10))[/tex].

Solution:

We have,

[tex]C(d(10))=C(80(10))[/tex]           [tex][\because d(t)=80t][/tex]

[tex]C(d(10))=C(800)[/tex]

Now,

[tex]C(d(10))=0.09(800)[/tex]           [tex][\because C(d)=0.09d][/tex]

[tex]C(d(10))=72[/tex]

Therefore, the value of [tex]C(d(10))[/tex] is 72.

Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?

Answers

Answer:

1/2= 5/10

5/10 - 3/10 = 2/10 or 1/5

so planet X is 1/5 of a light-year closer

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

Simplified

you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long?​

Answers

Answer:

Concept: Mathematical Analysis

The full rotation of a pendulum is attached, plug in the values and solve.Rate brainlist.
you'd like your pendulum to take 20 seconds to complete a cycle how long will the pendulum need to be? is the reasonable in your building which is planned to be 20 feet long? answer: 10 ft

Choose a number that is a factor of 900. 25, 27, 31, 32, 44, 45

Answers

Answer:

25 is a factor of 900

Step-by-step explanation:

900/25= 36

Answer: 25 and 45
Factor is the number, which is dividing by the number without remainder.
For example for 6, factors are 1,2,3,6
In this case, we have to find the number, that you can divide by, and don’t get a remainder.
900:25= 36
900:27= 33,333..
900:31= 29,03..
900:32= 28,125
900:44= 20,4545..
900:45=20
from this we can see that 25 and 45 are the factors of 900 in this exercise. You also could understand that, because 25 and 45 are ending with 5.
Hope it helps! Please give the brainliest:):)

Please help??? Thank you!!!

Answers

Answer:

Step-by-step explanation:

The graph that would give the result of an integration and hence f would be the top one. f = x^4/4 - x^3 + a constant (perhaps zero) would look like the top graph. Just to show you that is true, I've enclosed a graph. The graph is of f which is given 2 lines up.

PLEASE HELP AND SHOW WORK​

Answers

x=44°

you write 2x-6=82, subtract 6 on both sides so ur left with 2x=88, you divide both sides by 2 and you get 44

A
Solve the triangle.
19.3
b
45°
105
B
a

Answers

The answer is 30 degrees

Please help brainiest will give you!

Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3

Answers

The correct answer is B

In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?

Answers

Answer:

72

Step-by-step explanation:

24 x 3 = 72 just like the problem.

Estimate the difference.

14One-ninth – 5.89

8
12
16
20

Answers

Round 14One-ninth to 14

Round 5.89 to 6

Now subtract: 14-6 = 8

The answer is 8

find the value of the expression n+2×m
for m=6 and n =4​

Answers

Answer:n=4

m=6

Step-by-step explanation:

(solve for bracket first the add)

4+2×6

4+12

16

brainly what is y = 5x + 8; (2, 16)

Answers

Answer:

for finding the parallel line its y= 5x+6

Step-by-step explanation:

for the slope and y intercept its slope+5

y intercept its (0,8)

hopes this helps.

The points in the table lie on a line. Find the slope of the line.

Answers

Answer:

-7/6

explanation

if the points correlating to the (x,y) functions are plotted out on a graph, using the rise-over-run method will result in finding a slope of -7/6

Sue juiced oranges from her orange trees. From the first two trees she collected 2/6 gallon of juice from each tree. The last tree yielded 2/3 gallon. After using some of the juice she collected for breakfast, Sue found that she only had 3/4 gallon of juice left. How much juice did she use for breakfast?

Answers

Answer:

Step-by-step explanation:

She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree.  To add these two fractions, both must have common denominators.

Multiply both the numerator and denominator of 2/3 by 2.  This results in 4/6.

Now you have 4/6 + 2/6 which equals 8/6.  This can be converted to 1 and 2/6, further simplified to 1 and 1/3.  Therefore, Sue collected a total of 1 and 1/3 gallons of orange juice.

If log 2 = x and log 3 = y, write each logarithm in terms of x and y.

a) log 18
b) log 9

Answers

Step-by-step explanation:

log18 = log2 + log3 + log3 = x + 2y.

log9 = log3 + log3 = 2y.

Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parallelograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.

Answers

Answer:

A) The parallelograms all have congruent sides and angles.

Step-by-step explanation:

Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.

In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.

Answer:

C

Step-by-step explanation:

I got it wrong because I listened to the other guy :\

Have a great day!

ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.


Which of the following expressions results in a positive number?
5. ( - 1)
-30(-8)
-6 (2)
Sect one:

Answers

Answer:

-30(-8)

Step-by-step explanation:

A negative times a negative always equals a positive.

-30(-8)
This give you an answer of 240

im slow so could somebody help me please

Answers

Answer:

Divide the numerator and denominator by 6

divide the numerator and denominator by 6

top answer

Dantes Soccer Team Sells T-Shirts To raise money for new equipment. For Each T-shirt sold the team raises $8. Parents Also make a donation of $100 toward the equipment.

What is The equation That the total amount raised y , if x T-shirts are sold?

A. y= 8x
B. Y=12.5x
C. y= 100x + 12.5
D. y= 8x + 100​

Answers

Answer:

It would be D

Step-by-step explanation:

My remainder is 8. My dividend is 80. I am a 1- digit number. What divisor am I?

Answers

Answer:

9 is the answer..

Step-by-step explanation:

pls mark me the brainliest

Answer:

The divisor is 9.

Step-by-step explanation:

a) Data and Calculations:

Remainder = 8

Dividend = 80

Number divided evenly without remainder 8 = 80 - 8 = 72

72/9 = 8

b)There are four main numbers under the divisional mathematical rule.  The first number is the dividend which is the number 80 that is being divided by the divisor.  The divisor (9) is the number that divides 80.  The quotient (8) is the result obtained by the division, while the remainder 8 is the number left over after the division.

fing the sum of the interior angle measures of the polygon ​

Answers

The sum of interior angle is
(6-2)x180
= 720

Mary used one big bag of flour. She baked four loaves of bread.​ Then, she used the remaining flour to make 48 muffins. How much flour was in the bag when Mary​ began? Plz help!!!! I have 20 minutes left

Answers

Answer is 11.

Step-by-step explanation:

Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2

Maria makes the remaing 48 muffins of the flour left so,

One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2

Add both of them

9/2+13/2=11

what is the volume of a regular octahedron inside a cube with the length of its sides measuring 4 centimeters ​

Answers

Answer:

We conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

Step-by-step explanation:

Given

The length of one of the side or edge of a regular octahedron = a = 4 cm

To determine

The volume of a regular octahedron = V

Using the formula to determine the volume of a regular octahedron

[tex]V\:=\:\frac{\sqrt{2}}{3}a^3[/tex]

substituting a = 4 in the volume equation

[tex]V=\frac{\sqrt{2}\cdot \:4^3}{3}[/tex]

[tex]V=\frac{64\sqrt{2}}{3}[/tex]         ∵ 4³ = 64

[tex]\:\:V\:\approx \:30.17[/tex] cm

Therefore, we conclude that the volume of a regular octahedron will be:

[tex]\:\:V\:\approx \:30.17[/tex] cm

56 1/4% equals what?

Answers

Answer:

This is equal to 14025.

Step-by-step explanation:

Alternative is 1.4025×[tex]10^{4}[/tex]

Brainliest? Thanks!

9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8

Answers

Inequality: 4000= 305 + x50
Answer: 74 boxes

Explanation: To get 305 you add the weight of the cart and the weight of the worker

Then create the inequality
Subtract 305 from 4000 and you get 3695

Then since the 50 is trying to multiply against x then you do the inverse operation and divide 3695 by 50

Which equals out to 73.9 and since the point nine is higher then 5 then you round the 73 up by one which gives you 74

2 increased by 8 times a number is equal to 5. Write an equation or inequality.​

Answers

2+8x=5

good luck

hhhhh
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