How many pounds of chocolate that is 45% cocoa should be mixed with 6 pounds of pure cocoa mass to obtain a chocolate that is 78% cocoa? plz help im dying irl

Answers

Answer 1

Using a system of equation, the amount in pounds of chocolate required is 4

Let :

Number of pounds of chocolate = c

Hence, we can create an equation thus :

0.45c + 6(1) = 0.78(6 + c)

0.45c + 6 = 4.68 + 0.78c

Collect like terms

6 - 4.68 = 0.78c - 0.45c

1.32 = 0.33c

Divide both sides by 0.33

c = 1.32 / 0.33

c = 4

Hence, 4 pounds of chocolate is required.

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Related Questions

If x = 3 and y = 7 , evaluate the following expression: 20 − ( 3 y − 4 x )

Answers

Answer:

20-3(7)-4(3)

20-21-12

-13

Which of the following functions best describes this graph?

Answers

Answer:

A

Step-by-step explanation:

the graph has 2 x intercepts, which means there are 2 zeros, 4 and 5.

So we can express the function using:

[tex]y= (x-4)(x-5)[/tex]

this is equivalent to option A

You select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a red marble?

A) 1/8

B) 2/4

C) 2/5

D) 3/11

Answers

Answer:

1/8

Step-by-step explanation:

its says 8 times. That's the only answer with a 8. (I'm not sure tho)

A 1/8 is the correct answer for this q i hope this helps u

help me zearn please

Answers

Answer:

Radio= 7cm

Circumference = 43.96cm

b. How could you change the digit in the ones place of the whole so that there would be no remainder Explain how you determined your answer

Answers

Answer:

example

12.8

first you round off

the eight behind the decimal is more than five the rules say to add one to the number close to it

so your answer would be

13

Step-by-step explanation:

hope this explains

Please take a look at the picture.

Answers

Step-by-step explanation:

the middle one.

S starts at 10 and then subtracts 1 with every step. that means it is going "backwards" from right to left.

T starts at 10 and then subtracts 2 with every step.

in combination the middle graphic follows both.

A concession stand serves hot dogs and hamburgers at a ratio of 3 to 2. Based on this ratio, how many hamburgers will be served if there are a total of 60 hot dogs served? Use a tape diagram to model your thinking.​

Answers

Answer:

no clue i need help on this

Step-by-step explanation:

HOWWWW DOOOO YOUUUU DOOOOOO THISSS!?!?!?!?!!?!??!!??!?!!??!!??!?!

What is the quotient of 8.1 x 10^8 and 4.5 x 10^5 expressed in scientific notation?​

Answers

Answer:

1.8 x 10^3

Step-by-step explanation:

(8.1 x 10^8) / (4.5 x 10^5) = 1800

1800 = 1.8 x 10^3

Answer:

1.8x10^3

Step-by-step explanation:

Which statement represents the expression?

(9+5)÷7

A.9 plus 5 divided by 7

B.9 more than 5 divided by 7

C.7 divided by 9 plus 5

D.the sum of 9 and 5, divided by 7

Answers

D. The sum of 9 and 5, divided by 7

The total simple interest on $1600 invested for five years is $224. What is the percentage rate per annum?

Answers

Answer:

The percentage rate per annum is 2.8%

Step-by-step explanation:

We need to multiply the principal by the time, then divide the interest by the product of P×T, so:

1,600 × 5 = 8,000

224 ÷ 8,000 = 0.028

Then we convert our final product to a percentage.

0.028 to a percent is 2.8%

Step-by-step explanation:

did u got the answer??.....

Which BEST explains the expression x( y z + 1 2 )? A) x depends on ( y z + 1 2 ). B) ( y z + 1 2 ) depends on x. C) x and ( y z + 1 2 ) are dependent on each other. D) x and ( y z + 1 2 ) are independent of each other.

Answers

9514 1404 393

Answer:

  D)  x and ( y z + 1 2 ) are independent of each other

Step-by-step explanation:

Assuming this is not intended to be describing a function named x with an argument of yz+12, the variables in any expression are assumed to be independent of each other, unless additional information is provided showing their dependencies.

Here, there is no such additional information, so we must assume ...

  x and (yz +12) are independent of each other

_____

Additional comment

The assumption stated in the answer is intended to ensure we're not concerned with something of the form ...

  g(x)

which is an expression saying 'g' is dependent on 'x'. If we know 'g' is a function name, then g(yz+12) will make 'g' be dependent on (yz+12).

Similarly, if x(a) is intended to mean that x is a function of 'a', then the corresponding x(yz+12) will mean that x is dependent on (yz+12). This would be quite unusual, since letters toward the end of the alphabet are usually used for variable names, while letters in the middle of the alphabet are used for function names.

I will give brainiest!

Answers

Answer:

-4.5,  -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

Which word phrase represents this expression?

2n + 3

Answers

Answer:

A number (variable) times 2 plus the constant 3.

Which inequality is true?
5/6 < 1/3
2 1/3 > 2 1/6
2 < 2 1/2
1 1/4 > 1 1/3

Answers

Answer:

21/3 > 21/6 is the true one!

2 1/3>2 1/6 and 2.00<2 1/2

Write the equation of the line passing through the points (15,3) and (-3, -3).​

Answers

Answer:

y=1/3x-2

Step-by-step explanation:

-3-3/-3-15

-6/-18 = 1/3. Slope=1/3

y-3= 1/3(x-15)

y-3=1/3x-5

y=1/3x-2

(6 , -20) and (18, 7) into fraction

Answers

Chickens and chicken eggs

Saima is training for a bike race. On Saturday she rode her bike for 172 minutes on Sunday she rode for 153 minutes. How much longer did she ride her bike for on Saturday than on Sunday?

Answers

Answer:

19 minutes

Step-by-step explanation:

172 - 153

= 19 minutes

Please help me please help me help please

Answers

Answer:

-1

Step-by-step explanation:

x is up and down and y is side to side and it is on the negative side

Hope this helps!!! Mark me as brainiest!!!!

I Need Help Please!!!!! I will try to give brainliest!!!

Answers

x + 7 < 7
- 7 -7
x < 0


5 + 2x >= 7
-5 -5
2x >= 2
/2 /2
x >= 1

x is less than 0 and greater or equal to 1

On a bicycle, Jack can travel 20 miles in 4 hours. How many miles did he travel in one hours?

Answers

Answer:

Jack traveled 5 miles in 1 hour

Step-by-step explanation:

Answer: In one hour Jack can Travel 5 miles.

Step-by-step explanation:

Jack can travel 20 miles in 4 hours. So to find out how many miles Jack can travel in 1 hour, we need to divide the number of miles for 4 hours (which is 20) by 4.

20 miles ÷ 4 hours  = 5 miles in 1 hour

Therefore, we can say Jack can travel 5 miles in 1 hour.

,  Hope this helps :)

Have a great day!!

Find x and y. Please help

Answers

Answer:

x= -15

Step-by-step explanation:

Hello I am stuck on this one can someone help?

Divide.

-5 5/8 ÷5?

Answers

Answer:

-1.125

Step-by-step explanation:

Donde se estructuró la geometría como ciencia

Answers

Answer:

please peake inglish

Step-by-step explanation:

You dug a hole that was 6 feet deep. After taking a short break, you dug down 2
more feet in the same hole. When finished digging, a tractor accidentally filled
the hole with 4 feet of dirt. How deep is your hole now?

Answers

Answer:

4 ft deep

Step-by-step explanation:

6+2=8

8-4=4

15.
Write an equation for each translation of y = |x|.

15.5 units left

A. y = | x | – 15.5

B. y = | x + 15.5 |

C. y = | x – 15.5 |

D. y = | x | + 15.5

Answers

Answer:

B. y = | x + 15.5 |

Step-by-step explanation:

The + inside the absolute value equation really means -.

So there is a horizontal shift of 15.5 units left.

Answer:

B. y = | x + 15.5 |

Step-by-step explanation:

Given : y= |x|.

To find : Write an equation for each translation of y= |x|. 15.5 units left .

Solution : We have given that y= |x|.

By the translation rule :if function transformed to  f(x ) →→→ f(x +h) Then graph of the function would shift h units left.

For translation 15.5 unit left we need to add 15.5 in function y= |x|.

y = | x + 15.5 |

Therefore, y = | x + 15.5 |.

Kenny wants to buy 2 kilograms of hamburger buns and 2 kilograms of wheat rolls. How much will he spend? spelt rolls

$5.83/kilogram hot dog buns

$7.92/kilogram hamburger buns

$8.46/kilogram wheat rolls

$5.74/kilogram English muffins ​

Answers

Answer:

He will spend $32.76

Step-by-step explanation:

$7.92 * 2 kilograms = $15.84 (This is how much is spent on hamburger buns)

$8.46 * 2 kilograms = $16.92 (This is how much is spent on wheat rolls)

$15.84+$16.92 = $32.76 (This is the total amount spent)

Solve this equation: –3(x – 14) + 9x = 6x + 42

Answers

Answer:

0

Step-by-step explanation:

Step 1 - Expand bracket:

[tex]-3(x - 14) + 9x = 6x + 42\\-3(x) + -3(-14) + 9x = 6x + 42\\-3x + 42 + 9x = 6x + 42[/tex]

Step 2 - Combine like terms:

[tex]-3x + 42 + 9x = 6x + 42\\42 + 6x = 6x + 42[/tex]

As both sides are the same, the equation equals 0.

[tex]42 + 6x = 6x + 42\\42 - 42 = 6x + 42 - 4x\\6x = 6x\\6x - 6x = 6x - 6x \\0 = 0\\[/tex]

Hope this helps!

Please help!!!! I will give brainliest

Answers

Answer:

Top one (A)

Step-by-step explanation:

X >/ -4 Means that the number is "true" as long as it is -4, or larger in amount.

the ratio 15 minutes to 1 hour can be written in the form 1 : n.


find the value of n?

Answers

Answer:

4

Step-by-step explanation:

you change hour to second and then you divide

Mia traveled 15 meters in 6 seconds
Oriya traveled 22 meters in 10 seconds who was faster and why

Answers

Answer:

Mia was faster

Step-by-step explanation:

Mia traveled at 2.5 meters per second whereas Oriya traveled at 2.2 meters per second

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