A box of chocolates contains bars of milk chocolate and dark chocolate. The weight of each bar of milk chocolate and dark chocolate is 150 ounces and 100 ounces respectively. If the number of bars of dark chocolate is 12 more than the number of bars of milk chocolate, and the total weight of the chocolates in the box is 2950 ounces, find the number of bars of milk and dark chocolate.

Answers

Answer 1

Answer:

7 milk chocolate

19 dark chocolate

Step-by-step explanation:

It is 2950 ounces in total, and dark chocolate is 100 ounces per bar and milk chocolate is 150 ounces per bar. There are 12 more dark chocolate bars so I multiplied 12 by 100 and that was 1,200. Then I took 2,950-1200=1,750. From there I subtracted 150 and 100 till I got to 0.

Answer 2

Number of bars of milk chocolate: 17

Number of bars of dark chocolate: 29

Let's use algebraic equations to solve the problem. Let's denote the number of bars of milk chocolate as "x" and the number of bars of dark chocolate as "y."

1. Weight equation: The total weight of the chocolates in the box is 2950 ounces.

We can express this as an equation:

150x + 100y = 2950  

2. Quantity equation: The number of bars of dark chocolate is 12 more than the number of bars of milk chocolate.

We can express this relationship as:

y = x + 12

Now, we have a system of two equations with two variables:

Equation 1 : 150x + 100y = 2950

Equation 2 : y = x + 12

To find the values of x and y, we can use substitution or elimination. Let's use substitution in this case.

From Equation 2, we can substitute the value of "y" in terms of "x" into Equation 1:

150x + 100(x + 12) = 2950

Now, we can solve for "x":

250x + 1200 = 2950

250x = 1750

x = 7

Now that we have the value of "x," we can find the value of "y" using Equation 2:

y = x + 12

y = 7 + 12

y = 19

So, the number of bars of milk chocolate (x) is 7, and the number of bars of dark chocolate (y) is 19.

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Related Questions

Please help

Given the replacement set {2, 3, 4, 5}, solve 6x – 4 =2 x + 16

Answers

Answer:

{5}

Step-by-step explanation:

6(5)-4 = 2(5)+16

30-4 = 10+16

26 = 26

Armand and Jill are 247.5 miles apart, and driving toward each other. Armand is driving at a rate of 50 miles per hour and Jill is driving at a rate of 60 miles per hour.

A table showing Rate in miles per hour, Time in hours, and Distance in miles. The first row shows Armand, and has 50, t and 50 t. The second row shows Jill, and has 60, t, and 60 t
Use the scenario and table to determine which statements are true. Check all that apply.

Armand and Jill will each travel the same distance to meet.
Armand and Jill will travel the same amount of time to meet.
The equation used to find the time, t, it will take for them to meet is 50t + 60t = 247.5.
It will take 4.5 hours for them to meet.
Jill will travel 135 miles to meet Armand.

Answers

Answer:

B.C.E.

just did it on edge 2021

Answer:

yes the other person is right its B.C.E

Step-by-step explanation:

If p is true and q is false, what is the truth value of p or q?

1
0
true
false

Answers

Answer:

1 is the answer.............

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:Number of small boxes shipped = 8

Number of large boxes shipped = 13

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped

Equation 1 will be:

x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70

Equation 2 will be:

25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2  

25(21-y) +70y =1110

525-25y+70y = 1110

45y = 585

Y=13

Putting the value of y in equation 1  

x+13 = 21

X = 8

Number of small boxes shipped = 8

Number of large boxes shipped = 13

What is the range of the function?

Answers

Answer:

the is c because the answer

The correct answer is B: {2, 6, 8}.

The set of first components (x-coordinates) in the ordered pairs is the domain of the relation: {-1, 3, 5}.

The set of second components (y-coordinates) is the range of the relation. The range of the given problem is the set of second components (on the right): {2, 6, 8}.

Therefore, the correct value is B: {2, 6, 8}.

Please mark my answers as the Brainliest if you find my explanations helpful :)

What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, .

Answers

Answer:

The common difference is -5

Step-by-step explanation:

45-40=5, 40-35=5, etc.

Which expression is equivalent 3 (4x - 5)?

Answers

Answer:

12x - 15

Step-by-step explanation:

Answer:

12x-15

Step-by-step explanation:

Are expressions equivalent to 3(62)?

Answers

Answer:

186

Step-by-step explanation:

7v- 5 ≥ 65 or -3v - 2 ≥ -2​

Answers

The result if the inequality expressions are v ≥ 10 and v < 0

Given the following inequality expression

7v- 5 ≥ 65 or -3v - 2 ≥ -2

Solve the inequality individually

7v - 5 ≥ 65

Add 5 to both sides

7v - 5 + 5 ≥ 65 +5

7v ≥ 70

v ≥ 70/7

v ≥ 10

For the inequality-3v - 2 ≥ -2

Add 2 to both sides

-3v - 2 + 2≥ -2 + 2

-3v ≥ 0

v < 0

Hence the result if the inequality expressions are v ≥ 10 and v < 0

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w + 2x + 1 = x – 2w +26

Answers

x = 25-3w

please mark has brainiest if helped!

please someone help meee. Giving brainliest!!

Answers

B and D are perfect squares.

Simply plug [tex]\sqrt{81}[/tex] and [tex]\sqrt{144}[/tex] into a calculator.

B explanation:

9 x 9 = 81

D explanation:

12 x 12 = 144

what is 25/176 as a decimal division

Answers

Step-by-step explanation:

[tex] \frac{25}{175} [/tex]

[tex]0.142045[/tex]

[tex]0.1420[/tex]

[tex] \frac{14.2}{100} [/tex]

[tex]14.2\%[/tex]

Answer:

0.1420454545

Step-by-step explanation:

If :

100 : 176 = 0.5681818182

so :

[tex]\sf{= \frac{25}{176} }[/tex]

[tex]\sf{= \frac{ 25 \times 0.5681818182}{176 \times 0.5681818182} }[/tex]

[tex]\sf{= \frac{14.20454545}{100} }[/tex]

[tex]\sf{\underline{\boxed{= 0.1420454545}} }[/tex]


2. Walter bought a 21-pound bag of flour. He used 4.2 pounds of the flour.
He stored the rest of the flour in 2 2/5-pound portions. What is the number
of 2 2/5-pound portions he stored?

Answers

Hi, I did
21-4.2=16.8 left
Since he stored in 2 2/5 portions I converted 2 2/5 to 2.4 and did 16.8/2.4=7 therefore he stored the flour in 7 portions.

Hope this helps !

Answer for number 1?

Answers

Answer:

you  need to draw a triangle on the grid

Step-by-step explanation:

find point -3 then 7

then find points -2 and 1

then -5 and 2

then join the points together

hope that helps

pls mark brainliest

pls answer the question below

Answers

It has to be 262
I hope it’s right

Kaya started with the number 92. After multiplying by a power of 10, her number increased to 920,000. What power of 10 did Kaya multiply her original number by to get an answer of 920,000? Explain the reason for this solution

Answers

The new number has 4 zeros so the power was 4

Answer: 4

Answer:

4

Step-by-step explanation:

kaya started with 92

then multiplied it by

[tex]10 ^{x} [/tex]

[tex]92 \times {10}^{x} [/tex]

[tex]92 \times {10}^{x} = 920000[/tex]

divide both sides by the coefficient of

[tex] {10}^{x} [/tex]

[tex] {10}^{x} = \frac{920000}{92} [/tex]

[tex] {10}^{x} = 10000[/tex]

[tex] {10}^{x} = {10}^{4} [/tex]

since they both have the same numbers we can cancel the two 10

therefore:

x = 4

Translate into an inequality

A number w increased by 8 is at most -23

1) less than 2) greater than 3) less/equal to 4)greater/equal to

Answers

Answer:

w + 8 ≥ -23

Step-by-step explanation:

Original price: $12
Mark-up: 45%
What is the selling price?

Answers

Answer:

The selling price is $17.40

Step-by-step explanation:

x = selling price

x = 12 + 0.45(12)

x = 12 + 5.4

x = 17.4

The final selling price is $17.40.

Percentages are percents of a whole. This means that 45% = 0.45. You can use this to your advangage when solving these types of equations.

Answer:

$17.40

Step-by-step explanation

Find what 45% of 12 is.

You can do this by multiplying 0.45 by 12 which is 5.4

Then you just add 5.4 to 12 which gives you 17.4  

What is 42 x 118 In a full equation?

Answers

42 x 118 would be 4956 by Multiplying by breaking apart a factor

Answer:

4956

Step-by-step explanation:

alternative forms

4.956×10³

find the measures of the angles labeled in the figure on the right.

Answers

Answer:

3,4 the answer

Please Help!!!


Evaluate the expression for the given values of the variables.

(n + 5)2 for n = −7

When n = −7, the expression is equal to
.

Answers

Answer:

-4

Step-by-step explanation:

you will have to replace the n with -7, that means,

(-7+5)2

when a number is beside a bracket, it automatically means multiply

you will have to solve the numbers in the bracket first

-7 +5 is equal to -2

then, -2 multiplied by 2 is equal to -4

Answer:

-4

Step-by-step explanation:

So lets substitute n with -7.

---->  (-7+5)2

Now let's solve this equation step by step....

---->. -2(2) ----> -4

I hope this helps:)

equation for $.10 times 30 equals three dollars

Answers

Answer:

30 (.1)=3

or you could do

30×.1=3

you could use either one but I dont know what the person your turning the work in requires the equation to look like

Blah blah get failed ditch (replace d with b)

(4m-5)°
(3m+3)
Solve for m

Answers

4m-5+3m+3=180

COMBINE LIKE TERMS

4m-2+3m=180

7m-2=180

move integers to the other side

180+2=182

182/7=26

m=26

What are the values of x?

Answers

1) square root 74
2) 8.15
3) 39.2
4) 108.45

Answer:

Pythagorean theorem = [tex]a^2+b^2=c^2[/tex] or [tex]c=\sqrt{a^2+b^2}[/tex]

a & b are the sides

c is hypotenuse

1. [tex]9^2+5^2=c^2[/tex]

[tex]81+25=c^2[/tex]

[tex]106 = c^2[/tex]

[tex]c=\sqrt{106}[/tex]

c = 10.3 cm

And you keep doing that to the other triangles.

2. x = 8.1

3. x = 39.2

4. x = 108.5

Brainly plz :)

a line segment has endpoints at (2 3) and (-7 3) what is the distance of this segment

Answers

Answer:

9 units

Step-by-step explanation:

Y-coordinates are the same, so we just find the distance between the x-coordinates which is 2-(-7)=2+7=9 units

HELP LIKE ASAP! YOU'LL GET BRAINLIEST IF YOU'RE CORRECT! :)

Answers

Answer:

V would be at (-4,5)

U would be at (-4,7)

T would be at (-9,7)

Answer:

V: (-4,5) U: (-4,7) T: (-9,7)

Step-by-step explanation:

reflect the shape across the x axis like a mirror

Hope this helps :)

Josh filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
10.2, 13.75, 12
What is the total amount of gas Josh bought last week?

Answers

Okay so pretty much what you need to do is add the three numbers together in order to get your total. 10.2+13.75+12= 35.95 gallons. 35.95 would be the total amount of gallons of gas that was bought last week.

3(6d + 1) = ?
How do I see what the d = to multiply it 3x6d but it doesn’t shows what the d= does the d = 1 since it’s only 1 d? Or how do I simplify this

Answers

Answer:

18d+3

Step-by-step explanation:

start with 3(6d+1)

separate the problem into 3(6d)+3(1)

simplify to get your answer:

18d+3

Answer:

18d + 3

Step-by-step explanation:

3 ( 6d + 1 )

= ( 3 x 6d ) + ( 3 x 1 )

= 18d + 3

What is 278 minus 149

Answers

Answer:

129

Step-by-step explanation:

278 - 149 = 129

Answer:

the answer is 129

Step-by-step explanation:

278-149=129

5/8x2/3....................

Answers

Answer:

Your answer is 5/12.

Step-by-step explanation:

Hope this helps!

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