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:

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

Step-by-step explanation:

Let

x = amount of real fruit juice used to make Drink A

y = amount of real fruit juice used to make Drink B

1. The company used 100.5 liters of real fruit juice, then

2. Drink A:

x = amount of real fruit juice used

percentage of real fruit juice

Then

5x = amount of drink A produced

Drink B:

y = amount of real fruit juice used

percentage of real fruit juice

Then

amount of drink B produced

The company makes 30 more liters of Drink A than liters of Drink B, so

The system of two equations is


Related Questions

round 1,073 to the nearest thousand

Answers

Answer:

1000

Step-by-step explanation:

round up if 5 or bigger

round down if less than 5

is this a function?

Answers

Answer:

NO

Step-by-step explanation:

No, because it does not pass the vertical line test.

four swimmers each completed 25 yards of a 100 yard relay in the order that they swam, the swimmers times are given below.

First swimmer in the relay: 13 sec
Seconed swimmer in the relay: 14.273 sec
Third swimmer in the relay: 16.04 sec
Fourth swimmer in the relay: 11.802 sec

Which statment is true
A. The differance between the slowest and the fastest 25-yard times was 5.842.

B. The teams total 100-yard relay time was 55.079 sec.

C. The last two swimmers took a total of 27.842

D. The second swimmer was 2.127 sec fasterbthen the third swimmer​

Answers

Answer:

C.

Step-by-step explanation:

A. The difference between the slowest and fastest is 4.238 secs

B. The team total is 55.115 secs

C. The last two swimmers took a total of 27.842 (correct)

D. The second swimmer was faster than the third by 1.767 secs

6. How many solutions does the system 2y = 10x - 14 and 5x - y = 7 have? B two C none A one D infinitely many​

Answers

Answer:

D infintely many

Step-by-step explanation:

These equations have the same slope and same y-intercept making them the same exact line/equation

ANSWER QUICKLY FOR 15 POINTS!! :,)

Mrs. Gregory’s class is building a model of a farm. They will use a cylindrical oatmeal container to make a portion of the barn. The container is 8 inches tall and has a radius of 2.5 inches.

What is the total surface area of the oatmeal container to the nearest tenth of a square inch?
164.9 square inches
157.1 square inches
39.3 square inches
125.7 square inches

Answers

Answer:

125.7 square inches long

108 divided by 2 1/2

Answers

Answer:

43.2

Step-by-step explanation:

first turn 2 1/2 into an improper fraction

(2 × 2) + 1 = 5

5/2

then turn 5/2 into a fraction

5 ÷ 2 = 2.5

now divide!

108 ÷ 2.5 = 43.2

Number equivalent to 108/2 1/2 is 43.2 .

Given,

108 divided 2 1/2

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

108/2 1/2

= 108 / (5/2)

= 43.2

Hence the answer is 43.2

Know more about division,

brainly.com/question/10703980

#SPJ6

What is the coefficient in the variable term 7x?

Answers

Answer:

7

Step-by-step explanation:

the coefficient is the number that is multiplied by x which in the case of 7x is 7

Hope that helps :)

t/3 = 11 solve equation and check souloution what is t

Answers

Answer:                         t=33

Step-by-step explanation:

Answer:

t = 33

Step-by-step explanation:

t/3 = 11

t = 11 × 3

t = 33

finish the lyrics

a potoao flew

Answers

Around my room before you came.

Answer: around my room before you came

Step-by-step explanation:

name the quadrilateral

Answers

Answer:

Step-by-step explanation:

Quadrilaterals

Square

Rectangle

Rhombus

Trapezoid

Parallelogram

helpppppp for 10points !!!​

Answers

slope is x so it’s -1/5
pretty sure
haven’t done this in a year

Answer:

[tex] - \frac{1}{5} [/tex]

the area of a Trapezium is 132 cm². Its height is 14 cm the larger parallel side is longer than the other by 16 cm. find the length of the parallel side. Please someone help!!

Answers

1/2 (a+b)h

1/2 (a+16)14=132

8×14=112

14÷2=7

132-112=20

20÷7 =2.857142857

so then a= 2.86 (3sf)

For more questions like that turn it into equation the make a subject of formula

Find the shaded area .

Answers

Answer:

152cm^2

Step-by-step explanation:

Find area of whole rectangle = 12 * 18 = 216cm^2

Find area of smaller square = 8 * 8 = 64cm^2

Take away the larger area from the smaller area = 216 - 64 = 152cm^2

(^2 indicates cm squared)

Hope this helps :)

Answer:

Area of the given figure is 152 sq.cm

Step-by-step explanation:

area of given figure (A)

= area of rectangle - area of minor square

=》A = (12 × 18) - (8 × 8)

=》A = 216 - 64

=》A = 152 sq.cm

I need help asap thank you

Answers

Answer:

A) it's positive

B) 37/30 or 1 7/30

Step-by-step explanation:

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

Answers

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

What is the solution of the system of equations shown in the graph below?

Answers

Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations  intersect. That point is (4, 2)

x = 4 and y = 2

-24 = x - ( - 2

need help please​

Answers

Answer:

okay here is the answer but no work shown

x= -16

i got -26 but i’m not sure if it’s correct

PLEASE HELP ME ASAP!!!!!


Can you use this pattern to find 111111111*11111111 without a calculator? Please Explain

Answers

Answer:

Can you show me the pattern?

Can I see the pattern

The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?

Answers

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

Help Please I am really confused whoever helps gets Brainliest (if its correct)

Answers

Answer:

hi :)

910

use a percantage calculator, i looked it up and 182 percent of 500 would be 910

Step-by-step explanation:

You have (182 lb/500 lb) • 100 = 36.4% of your starting amount of food left.


The diameter of a cone is 4 centimeters and has a height of 6 centimeters. How much
greater is the volume of a cylinder that has the same diameter and same height?

Answers

Hopefully this helps

If you want to bowl six games which ally is better show work

Answers

Answer:

Pinz

Step-by-step explanation:

So to set up the equation for Lanez:

y = 3.5 + 4.25x

Next we compare the prices for both overall by plugging 6 games in as x:

Lanez:

y = 3.5 + 4.25(6)

y = 3.5 + 25.5

y = 29

Pinz:

y = 3.75 + 4(6)

y = 3.75 + 24

y = 27.75

29>27.75

Lanez is more expensive with it costing $29 for a night as opposed to the $27.75 one would pay to play at Pinz.

i need help will mark brainliest

Answers

Answer:

16.5

Step-by-step explanation:

a^2 + b^2 = c^2

what is the surface area? PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

Hiya!

Are there any answers I can choose from?

Thank you muchly,

        Pandora

Step-by-step explanation:

Help with this please

Answers

Since the inequality has a “>” the plot must be hallow. So it leaves you with either C or D. Hope that helps narrow down your options.
I think the answer is D hopefully i’m right

Help please I don’t know it

Answers

Answer:

Step-by-step explanation:

sinC = 12/13

cosA = 12/13

Is 12/20 greater than 1

Answers

no, this is false. 1 is greater than 12/20.

Answer:

No. Its not cause 20/20 is what makes ita whole 1 so if ita 12 than its not equal to 1

r(x)=−x−7 when x=−2,0, and 5

Answers

Answer:

r(0) = -7

r(2) = -5

r(5) = -12

Step-by-step explanation:

1.02 quiz sinusoidal graphs

Answers

The characteristics of the sinusoidal function can be found from the given

graph of the function.

Correct Response;The minimum of the sinusoidal function is 1

Method used to arrive at the above response;

The sinusoidal function is the sine function that has the following general equation;

y = a·sin(b·(x - h)) + k

a = The amplitude

b = Angular frequency

h = The horizontal shift

k = The vertical shift

Required:

The minimum value of the sinusoidal function.

Solution;

From the given graph, we have;

The amplitude, a = 2

The period, T = 10 = 2·π/b

b = π/5

The vertical shift, k = 3

The horizontal shift = 0

The minimum value of the function = k - a

Therefore;

The minimum value of the function is; 3 - 2 = 1

Learn more about sinusoidal functions here:

https://brainly.com/question/6666829

Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{5}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:\frac{\pi}{5}x + 3} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{10} \hookrightarrow \frac{2}{\frac{\pi}{5}}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{\pi}{5}x + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\frac{1}{2}\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\frac{1}{2}\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\frac{1}{2}} = \frac{\frac{\pi}{2}}{\frac{\pi}{5}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{\pi}{5}x - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-10, 3],[/tex]from there to the y-intercept of [tex]\displaystyle [0, 3],[/tex]they are obviously approximately [tex]\displaystyle 10\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 10.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Now, the minimum value is the lowest possible value the graph touches, and in this case, the graph's lowest peaks cycle around [tex]\displaystyle y = 1,[/tex]therefore the minimum of his sinusoidal function is [tex]\displaystyle 1.[/tex]

I am delighted to assist you at any time.

Sheryl has a recipe for pasta with
vegetables. The recipe calls for
130 grams of vegetables and twice as
much pasta as vegetables. What is the
total mass in grams of the recipe?

Answers

Answer:

The Anwser Is 390 Because Add It All Up And You Got The Anwser

Answer:

390

Step-by-step explanation:

130 and then twice as much pasta, 130+130=260

Then add the vegetables: 130+260=390

390 is the total mass in grams

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