Mathematics High School

The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 110 pints of a mixture that is 55% pure fruit juice?

The Royal Fruit Company Produces Two Types Of Fruit Drinks. The First Type Is 40% Pure Fruit Juice, And

Answers

Answer 1

Answer:

The Royal Fruit Company produces two types of fruit drinks. The first type is 70%

pure fruit juice, and the second type is 95%

pure fruit juice. The company is attempting to produce a fruit drink that contains 75%

pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90

pints of a mixture that is 75%

pure fruit juice?

Step-by-step explanation:

Answer 2

To make the desired drink we need to add 30 pints of  95% of the drink, and  80 pints of 40% of the drink.

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90% pure fruit juice.

Let,

a = Volume of 40% of drink

b = volume of 95% of drink

Since the two existing types of drink must be used to make 110 pints of a mixture that is 55% pure fruit juice

a + b = 110

0.4a + 0.95 b = 110 * 0.55

Comparing these equations we will get,

a = 80

and b = 30

Therefore, To make the desired drink we need to add 30 pints of  95% of the drink, and  80 pints of 40% of the drink.

Learn more about Volume here:

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Related Questions

General admission to Paul’s Pumpkin Patch is $8.00. For children to ride the various rides, they must use tickets that cost $1.00 each. The number of tickets needed for each ride varies. The function for this situation is P(x) = x + 8, where P(x) represents total cost as a function of the number of tickets, x. What is the domain for visiting and riding rides at Paul’s Pumpkin Patch? A. P(x) ≥ $8.00 B. x is all real numbers C. x ≥ 0, where x is non-negative D. x ≥ 0, x is an integer

Answers

Answer:

x ≥ 0, x is an integer

Step-by-step explanation:

Cost of general admission = $8

Cost of 1 ticket = $1

Cost of x tickets = x

So, Total cost for x tickets = x+8

We are given that  P(x) represents total cost as a function of the number of tickets, x

So, P(x)=x+8

Since cost cannot be negative

So, Domain for visiting and riding rides at Paul’s Pumpkin Patch is x ≥ 0, x is an integer

So, Option D is true.

x ≥ 0, x is an integer

Yesenia needs to rent storage space for some of her belongings. She paid a one-time original storage fee
of $45.00, and now pays $18.00 each month (m). Which answer choice shows an expression that
represents the total amount Yesenia has paid after a certain number of months (m)?

Answers

Answer:

its 67

Step-by-step explanation:

Solve for theta (in degrees)

A = 11 , B = 23

Answers

Answer:

25.559 degrees truncated

Step-by-step explanation:

There are many ways of solving this problem. The way I went about doing it was taking the inverse tangent of 11/23, to get 25.559 degrees.  

Simplify:

4a - (-3b) + (-2c)

Answers

Answer: 4a+3b-2c

this is the answer

it would be 4a+3b-2c

Please help...
Determan the measure of G...
Also, please tell me how you got the answer...

Answers

Answer: 42.5

Step-by-step explanation:

3x + x+10 + G = 180

4x + 10 = 180

4x = 170

x = 42.5

Step-by-step explanation:

Since this is an isosceles triangle, the angle at G is the same as the angle at P. Thus G=(x+10)°.

Remembering that the sum of a triangle adds up to 180°.

Therefore,

3x + (x+10) + (x+10)=180.

5x + 20 = 180

5x = 160

x=32

Remember, G=x+10

G= 32+10

G=42°

PLEASE HELP I'M IN A HURRY

Answers

Jansnsnsnwkeksnsznznsnwns

Answer:

The answer is b (1,11)

Step-by-step explanation:

You can graph the lines and find the solution that way (which is where the lines intersect)

or you can algebraically solve.

To check this, you can basically plug in the x and y values for the equation and see if they match with what the equation equals..

Example:

10x + 3y = 43

-9x - y = -20

10(1) + 3(11) --> 10 + 33 = 43.. 43 equals 43

-9(1) - (11) = -9 - 111 = -20.. -20 equals -20

(the values match up so it's a solution)

help plz 20 brainlist

Answers

Ohhh its b i promise i got it right

Find the area of the rectangle.
1
m
3
5
m
6
m
Someone help ASAP I will give Brainly !!!!!!!!!

Answers

5/18 for the picture

What are the solutions to the equation -2t+10t=0

Answers

Answer: No solutions

Step-by-step explanation:

the first four numbers in a pattern are 4, 2, 1, and 0.5. Find the next three numbers in the pattern.​

Answers

Given:

The first four numbers in a pattern are 4, 2, 1, and 0.5.

To find:

The next three numbers in the pattern.​

Solution:

We have a pattern,

4, 2, 1, 0.5

Clearly, it is a GP and the common ratio is [tex]\dfrac{1}{2}[/tex] because each term is half of its preceding term.

Next term after 0.5 = [tex]0.5\times \dfrac{1}{2}=0.25[/tex]

Next term after 0.25 = [tex]0.25\times \dfrac{1}{2}=0.125[/tex]

Next term after 0.125 = [tex]0.125\times \dfrac{1}{2}=0.0625[/tex]

Therefore, the next three numbers in the pattern are 0.25, 0.125 and 0.0625 respectively.

A recipe that serves 8 people requires 4 1/2 cups of flour.
How many servings are in one recipe?

Answers

8 serving of that recipe

Answer:

1

Step-by-step explanation:

trust me

Answer fast plzzzz ASAP

Answers

Answer:

I think its 4

Step-by-step explanation:

It may be 4 I am so sorry if its wrong

Answer:

this is what you get for this

Step-by-step explanation:

A certain forest covers an area of 3000 km^2. Suppose that each year this area decreased by 8.75%. What will the area be after 11 year? Round answer to nearest square kilometer

Answers

Answer:  11(.875 -3000)

Step-by-step explanation:

C.P.=Rs 400, LOSS=5%, S.P=Rs X, S.P.=C.P.-5% OF C.P, FIND S.P. (STEP BY STEP PLZ)​

Answers

[tex]s.p. = c.p. \times 5\% \\ or \: x = 400 \times 5 \div 100 \\ or \: x = 4 \times 5 = 20 \\ [/tex]

Find the units of displacement (translation) of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Step by step answer please.

Answers

Answer:

The rule of the translation will be:

(x, y) → (x+3, y+5)

Step-by-step explanation:

Translation of an object is basically termed as "sliding" the original. If the image is moved right by the 'c' units, the 'c' unit(s) are added to the x-coordinate and if the image is moved left by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

And If the image is moved up by the 'c' units, the 'c' unit(s) are added to the y-coordinate and if the image is moved down by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

As the point is (4, 2)

The image of the point is (7, 7)

As the coordinates of the image point indicate that 3 units are added to the x-coordinate of the original point, and 5 units are added to the ý-coordinate.

Hence, the image will be move 3 units to the right and 5 units up.

Therefore, the rule of the translation will be:

(x, y)  →  (x+3, y+5)

as

(4, 2) →  (x+3, y+5) = (4+3, 2+5) = (7, 7)

Please help asap I will give Brainly points

Answers

Answer:

I will try to help but where us ur question ¿

A student is trying to find the density of a cube each side of the cube measures 4 cm and the mass is 503.68 g. Calculate the density.

Answers

Answer:

density = mass ÷ volume

v = 4 × 4 ×4 = 64

density = 503 .68 g ÷ 64 cm³

density = 7.87 g/cm³

Phone numbers consist of a three-digit area code followed by seven digits. If the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible?

Answers

Answer:

1.28 * 10^10

Step-by-step explanation:

Area Code:  8 * 2 * 10

7 digit number: 8 * 10 * 10 * 10 * 10 * 10 * 10

The total number of area codes is 160

8,000,000 * Area Codes

1.28*10^10


Rotation of 360° centered at the origin. yes or no
Rotation of 360°centered at (2,3). yes or no
Rotation of 90° centered at (3,5). yes or no
Rotation of 45° centered at (2,3). yes or no
Rotation of 225° centered at the origin. yes or no
Rotation of 270° centered at (2,3). yes or no
Rotation of 181° centered at (2,3). yes or no

Answers

Answer:

YesnoyesyesnonoYes

Step-by-step explanation:

Its in the Chrome Yowill find it there but Thank you

What is the slope of this line?

Answers

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

x² - 4x + 24
factor this​

Answers

Answer:

Step-by-step explanation:

Function f(x) = x² - 4x + 24 does not have roots in set of real numbers.

solve for h
h/6 - 1 = -3​

Answers

Answer: h = -12

Work:
You can multiply each side by denominator to eliminate fraction.

In the number 1,846, the ___ is in the tens place and the ___ is in the hundreds place

Answers

4 is in the tens place and the 8 is in the hundreds place .

WILL GIVE EXTRA POINTS
Assignment name: Segment Addition ​

Answers

Answer:

the measure of AB equals the measure of BC

2x+1=3x-4

4+1=3x-2x

5=x

BC=3x-4=3*5-4=15-4=11

AB=2x+1=2*5+1=10+1=11

AC=AB+BC=11+11=22

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

2x + 5 + 17 = 3x + 4

2x + 22 = 3x + 4

2x + 22 - 22 = 3x + 4 - 22

2x = 3x - 18

2x - 3x = 3x - 18 - 3x

-x = -18

-x / -1 = -18 / -1

x = 18

Hope this helps!

Based on the graphs, which statement is true?
PLEASE HELPP
15 points:/!?!

Answers

Answer:

I think b

Step-by-step explanation:

Joan Deere sells tractor parts. she gets a base salary of $1255 per month
plus a commission of 8.5% of any sales greater than $10000. She sold $15000 in parts last month. (She only gets commission on the money greater than $10000), How much was her monthly check for?​

Answers

Answer:

$1361.68

Step-by-step explanation:

15000 > 10000

so she gets the 8.5%

so she gets 108.5% of her salary

x/1255 = 108.5/100

1255(108.5) = 136,167.5

136,167.5/100 = 1361.68

a waffle recipe calls for 2 1/4 cups of flour. if Chun wants to make 1 1/2 times the recipe, how much flour does he need?

Answers

3.375 cups of flour are needed

Mutiples of 4 and 6??
HELP

Answers

Answer:

12,24,32.....

Step-by-step explanation:

4x3=12  6x2=12

Which of the binomials below is a factor of this trinomial?
X^2+ 12x+32
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4

Answers

It has to be X+4 Or D correct me if I’m wrong

Please help me solve these!!

Answers

Answer:

18i, -7-i, -6+18i

Step-by-step explanation:

1. √-324

first take out the negative as √-1=i

√-324= i√324

324 =2*162

324=2*2*81

324=2*2*9*9

i√324=i√2*2*9*9= i* 2*9= 18i

3.

-4+7i-3-8i combine like terms

-4-3 -8i+7i = -7-i

5.

(1+5i)(4-2i) distribute

1*4 -1*2i +5i*4 -5i*(-2i) multiply

4 -2i +20i +10i² but i²= -1 so

4 -2i +20i -10 combine like terms

-6 +18i

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