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

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

Answers

Answer:

Step-by-step explanation:

EFD = 90* (straight line = 180, and other angle is 90)

EHF = 180-52 = 128* (again straight line)

HFG = 90-32 = 58* (its a right angle (can tell by the square angle) = 90*)

G = 180 - 52 - 58 = 70* (angles in triangle = 180)

E = 180 - 32 - 128 = 20* (angles in triangle = 180)

Question makes no sense to me, can someone help?

Answers

Answer:

-1 or -0.5

Step-by-step explanation:

f(x) is a common phrase you will see a lot in more advanced math.

Think of it as saying "Function of X". So, when you see f(-1), that means the function of x=-1.

So, when it's asking what value X is in f(-1), remember that that number is the x value.

I say COULD BE -0.5 if it means what y is when x = -1. This is if AND ONLY IF you have a check button to see if -1 is right or the wrong answer. I doubt it is, but I want you to be successful in your work.

I hope this helps :)

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .


Enter your answer in the box, without spaces.

Answers

Answer:

[tex]\sf y=9x-5[/tex]

Step-by-step explanation:

[tex]\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned} [/tex]

the answer above is correct

What is the value of W in this exterior angle therom

Answers

Answer:

I think it is 60w2+2640w−11520

Step-by-step explanation:

pls brailiest

Simplify the expression to a + bi form:
(-5 – 3i) – (11 – 9i)

Answers

Answer: -16 + 6i

Step-by-step explanation:

(-5-3i) - (11-9i)

expand parentheses:

-5 - 3i - 11 + 9i

combine like terms:

-16 + 6i

Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
3x - 1
122+2
D
2y + 6

O 14 units
O 38 units
044 units
O 49 units

Answers

Answer:

38

Step-by-step explanation:

Plz help me WILL MARK BRAINLIEST
plz serious answers only and show work no links or will be reported ​

Answers

basically just substitute the x into the given equations shown at the top then plug it into the calculator, i did 1 for u as an example:)

help me, please. I need it quick

Answers

Answer:

Perimeter : 8

Step-by-step explanation: 2 times 4= 8

Use a factor tree to find the GCF of 32 and 80.

Answers

Answer:

GCF of 32 and 80 is 16

Step-by-step explanation:

factors of 32 = 1, 2, 4, 8, 16, 32

factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

what is the equation for the quadratic formula?

Answers

See picture! Hope this helps.

4.
Joe has 15.25 ounces of cookie
dough. If each cookie uses 0.5 ounces
of cookie dough, how many cookies
can Joe make for everyone?

Answers

Answer 30.50 round it to 30 people
You do 15.05 divided by 0.5 and you get 30.5

The expression 3(2x+7)-4(-3x+5) is equal (=) to what?

Answers

The answer is 18x + 1

Samuel wants to ride his bicycle 32.4 miles this week. He has already ridden 18 miles.
If he rides for 4 more days, write and solve an equation which can be used to
determine 2, the average number of miles he would have to ride each day to meet his
goal.
Equation:
Answer: 2=
Submit Answer

Answers

Answer:

equation: 4x + 18 = 32.4

answer: x = 3.6

Step-by-step explanation:

here is a graph of a polynomial function with degree 4 what statements are true about the function?

Answers

The leading coefficient is positive (starts and ends positive given an even degree polynomial)

It has 4 linear factors (the graph crosses the x-axis at 4 places)

One of the zeroes is x=2 (the graph crosses the x-axis at x=2)

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

From the graph,

The graph passes through the following points on the graph.

x = -4

x = -2

x = 2

x = 6

This means the polynomial function is:

P(x) = (x + 4)(x + 2)(x - 2)(x - 6)

If we simplify the polynomial we get,

P(x) = (x² + 2x + 4x + 8) (x² + 6x - 2x + 12)

P(x) = [tex]x^{4}[/tex] + 6x³ - 2x³ + 12x² + 2x³ + 12x² - 4x² + 24x + 4x³ + 24x² - 8x² + 48x + 8x² + 48x - 16x + 96

P(x) =[tex]x^{4}[/tex] + 10x³ + 44x² + 104x + 96

The leading coefficient is positive 1 so it is positive.

The constant term is a positive number (96).

The relative maximum is a point on the graph where the function changes from increasing to decreasing.

So,

From the graph, there is only one point.

So only one relative maximum.

The relative minimum is a point on the graph where the function changes from decreasing to increasing.

So,

From the graph, there are two relative maximums.

The function has four linear factors

(x + 4), (x + 2), (x - 2), and (x - 6).

x = -4, x = -2, x = 2, and x = 6

Thus,

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

Learn more about polynomials here:

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How would you write 0.1 bar as a fraction

Answers

Answer:

1/10

Step-by-step explanation:

Divide 1 by 0.1, which equals 10

10 becomes your denominator, and 1 is the numerator

Since 1/10 = 0.1*10 = 1

PLEASE HELP ME RIGHT NOWWWW

Answers

Answer:

9. A, C,

10. A, B,

Step-by-step explanation:

help me due in 15 minutes! - giving brainly if correct and WORK IS SHOWN
please answer both if possible!​

Answers

Answer:

both questions are same i think

look at the photo i have sent

What are the correct solutions to the quadratic
equation y2 – 13y + 40 = 0?

Answers

y = -5

or

y = -8

Answer above!

Jenna d be d de







Men ene

Which is the equation, in the point-slope form, for a line that goes through (2,-6) and has a slope of -3/4

Answers

Answer:

y+6 = -3/4 * (x - 2)

Step-by-step explanation:

* = multiplication

PLEASE HELP


The table shows information about the population of a city.
Population in 2001 is 420 000
Population in 2011 is 480 000

Liam claims
"From 2011 to 2021 the population of the city will increase by
the same percentage as from 2001 to 2011"
He works out.
population increase from 2001 to 2011 = 480 000 - 420 000
= 60 000
population in 2021 = 480 000 + 60 000
= 540 000
Does the population of 540 000 match his claim?
You must show your working.

Answers

Answer:

y

Step-by-step explanation:

Your friend incorrectly factors the expression
15x - 20xy as 5x(3 – 4xy).
-
Factor the expression correctly.

Answers

Answer:

5x(3 - 4y)

Step-by-step explanation:

Answer:

5x(3-4y)

Step-by-step explanation:

A house cleaning company charges a constant rate for each hour of cleaning. They charge $135 for 3 hours of cleaning.
Number of hours cleaning
Amount charged for cleaning (in dollars)
3
$135
18


How much would the company charge for 18 hours of cleaning?

$675


$810


$2,430


$45

Answers

Answer: $810 (B)

Step-by-step explanation: first youd need to find how much they pay for 1 hour. In this case, itd be 135/3 = 45. now multiply by 18 (because 1 hr x 18 = 18 hrs). this would get you to 810.

Option b $810
135/3 = 45
45 x 18 = $810

What is the slope of the line that passes through the given points?

(-1, -5) and (-12, -5)


Watch out for those negative signs!

Select one:

a.
0

b.
undefined (this means you get an answer like 5/0, you CANNOT divide a number by 0!)

c.
10/13 fraction

d.
13/10 fraction

Answers

Answer:

The answer is A. 0

Step-by-step explanation:

If you graph the equation it shows a straight horizontal line and that makes it zero

Answer:

A) 0

or m = 0

Step-by-step explanation:

Slope is zero, because it's just a straight horizontal line.

You can tell when you graph it or by the fact that they both have the same y-value, in this case -5.

I hope this helps :)

The kite shown below is translated 8 units to the right and 1 unit up.


Which property will remain the same?
A.
the perimeter of the kite
B.
the coordinates of the x-intercept
C.
the coordinates of the vertices
D.
the angle between the top vertex and the origin

Answers

Answer:

fhbf

Step-by-step explanation:

frbhrfbjrbfr

WILL NAME brainliest

Answers

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

By the definition of an angle bisector, we have that [tex]8x-23=5x+16[/tex].

We can add [tex]23[/tex] to both sides to get [tex]8x=5x+39[/tex].

We can then subtract [tex]5x[/tex] from both sides to get [tex]3x=39[/tex].

We can finally divide both sides by [tex]3[/tex] to get [tex]\boxed{x=13}[/tex]

what is 1760 rounded to the nearest hundred

Answers

Answer:

1800

Step-by-step explanation:

Please help!!!Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second. Round your answer to the nearest tenth.

Answers

Answer:

30 cups/second

Step-by-step explanation:

620 gallons = 9,920 cups

5.5 minutes = 330 seconds

9,920/330 = ~30

Draw a picture and write an equation to help you solve the following problems

Answers

Answer with Step-by-step explanation:

7x+x=90 [Being complementary angles]

8x=90

x=90/8

x=11.25

x-38+x=180 [Being supplementary angles]

2x=218

x=109

At a super market broccoli and celery are sold at $0.59 per 100 g and $0.26 pee 100g.how much do 1.2 kg of broccoli and 950 g of celery costs

Answers

1.2 kg of broccoli costs $7.08.

950 g of celery costs $2.47.

In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli

1 kg = 1000 g

100g = 0.1 kg

Cost of one kg of broccoli = $0.59 / 0.1 = $5.90

The second step is to determine the cost of 1.2kg of broccoli.

$5.9 x 1.2 = $7.08

In order to determine the cost of 950g of celery, the cost of 1g of celery.

$0.26 / 100 = $0.0026

The second step is to determine the cost of 950g of celery.

950 x 0.0026 = $2.47

A similar question was answered here: https://brainly.com/question/8138090?referrer=searchResults

A.) How many seats are in the 20th row

B.) Which row contains 36 seats

Answers

A is 60 and B is 108 because it adds 3 to each row and if it’s the 20th row you do 3x20 and if it’s the 36th row you do 3x36
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