A candy distributor needs to mix a 40% fat-content chocolate with a 60% fat-content chocolate to create 150 kilograms of a 52% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answers

Answer 1

Answer:

60 kg of 40% and 90 kg of 60%

Step-by-step explanation:

Let the amount of 40% chocolate be x.

Let the amount of 60% chocolate be y.

x + y = 150

0.4x + 0.6y = 0.52 * 150

x + y = 150

4x + 6y = 780

     -4x - 4y = -600

(+)   4x + 6y = 780

--------------------------

               2y = 180

y = 90

x + y = 150

x + 90 = 150

x = 60

Answer: 60 kg of 40% and 90 kg of 60%


Related Questions

For every 1 litre of water used to make a medicine, 200 ml of sucrose and 300ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form

Answers

10:2:3

Hope this helps! :)

Answer:

10:2:3

water:sucrose:saline

Step-by-step explanation:

What is the scale factor of this dilation?

Answers

Step-by-step explanation:To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor.

HELP!!

What are extraneous solutions to rational and radical equations? How do they arise? How do we check if a solution is extraneous? Use these equations as examples to help you explain:

Answers

Answer:

In general, extraneous solutions arise when we perform non-invertible operations on both sides of an equation. ... Squaring (or raising to any other even power) is a non-invertible operation. Solving equations involving square roots involves squaring both sides of an equation

Step-by-step explanation:

I hope this will help u

Please help me ASAP ASAP ASAP

Answers

Answer:

d = 4√5

Step-by-step explanation:

d² = 8² + 4²

d² = 64 + 16

d² = 80

d =√80

d = √(16 * 5)

d = 4√5

Answer:

Step-by-step explanation:

hard to see graph ....


Which is the equation of the graphed line written in
standard form?
4
3
O y = x
2
1
O x-}y = 0
543
-1
1
+
1
2
3
4
5
X
O x-y=0
3
O y= x
4
V
+

Answers

Answer:3

Step-by-step explanation: God bless you

x – y = 0 is the equation of the graphed line written in standard form. Therefore, the correct option is option C.

What is equation of line?

The slopes of the line as well as a point just on line can be used to create the line equation. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line.

The slope of the line, which can be stated as a quantitative integer, fraction, or perhaps the tangential of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. x – y = 0 is the equation of the graphed line written in standard form.

Therefore, the correct option is option C.

To know more about equation of line, here:

https://brainly.com/question/24092819

#SPJ7

Your question is incomplete but most probably your full question was,

Which is the equation of the graphed line written in standard form? y = x x – 1/2y = 0 x – y = 0 y =1/2x

Rewrite the following subtraction problem as an addition problem.

Answers

Answer:

x+129=592

Step-by-step explanation:

add 129 to each side

What is the sample space for the suits of a standard 52-card deck of cards?

Answers

Mark Brainliest please

All the possible outcomes of an experiment.

Example: choosing a card from a deck
There are 52 cards in a deck (not including Jokers)

So the Sample Space is all 52 possible cards: {Ace of Hearts, 2 of Hearts, etc... }

The sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The sample space for the suits of a standard 52-card deck of cards consists of four elements, one for each suit:

Hearts

Diamonds

Clubs

Spades

Each card in the deck belongs to one of these four suits. Therefore, the sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.

Hence, the sample space for the suits of a standard 52-card deck of cards is {Hearts, Diamonds, Clubs, Spades}.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Please Help

Greatly appreciated!!​

Answers

Answer:

D

Step-by-step explanation:

[tex](x_{1}, y_{1}) \ =[/tex] (-2, 1)  ;  m = 4/5

y - y1 = m(x - x1)

[tex]y - 1 = \frac{4}{5}(x- [-2])\\\\y - 1 =\frac{4}{5}(x + 2 )[/tex]

The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: P(c) = –20c2 + 320c + 5,120. What is the maximum profit the company can make from the product?

Answers

Answer:

6400

Step-by-step explanation:

Given the profit function ;

P(c) = –20c2 + 320c + 5,120

The maximum value is given by :

f(h) ; where, h = - b /2a

From P(C) ; a = - 20 ; b = 320

h = - b / 2a = - 320 / 2(-20) = - 320 / 40 = 8

c = h

P(8) = –20(8)² + 320(8) + 5,120

P(8) = - 1280 + 2560 + 5120

= 6400

Answer:

B.) $640,000

Step-by-step explanation:

At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 2.1%. Lett be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t. ​

Answers

Answer:

y = 320,000(2.1)^t

Step-by-step explanation:

uhm, im not very good at explaining, but everytime the year increases, the population will exponentially increase, that's why 't' is an exponent

Answer:

[tex]y=320000(1.021)^t[/tex]

Step-by-step explanation:

To increase something by x% mulitply it by (1+x)

in other words, to increase sometihng by 2.1% mulitply it by

(1+.021) or 1.021

because we are mulitplying 320000 by 1.021 each year we can write the equation as

y=320000(1.021)^t

Set up an equation and find the missing value of x.

Answers

Answer:

x = 35

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent

Hence, 80 = 2x + 10

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation we created

80 = 2x + 10

Step 1 subtract 10 from each side

80 - 10 = 70

10 - 10 cancels out

We now have 70 = 2x

Step 2 divide each side by 2

70/2 = 35

2x / 2 = x

We're left with x = 35

Which of these four sets of side lengths will form a right triangle? set 1 set 2 set 3 set 4

Answers

Answer:

hey um I cant see the picture

Use the calculator to evaluate each expression. Round your answers to the nearest hundredth.(GIVING BRAINLEST TO BEST ANSWER)​

Answers

Answer:

tan 43 =.93

cos 67=.39

sin 39=.63

Step-by-step explanation:

tan 43 = .932515086=.93

cos 67=.390731128=.39

sin 39=.629320391=.63

Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+ - =-4
a-25+2c=6
1
0
0
2
1
0
-2.
0
0
1
0
1
0
0
1
0
1
0
- 2
0
0
1
0
2
1
1
2.
-4

Answers

Answer:

The one that's include a rows 2 1 1 2

Answer:

A

Step-by-step explanation:

they wanted the reduced echelon form.

On Edge. btw

If you are selling your house with a local realtor who requires a 5 % commission fee, what can you expect to pay the realtor if your house sells for $182,000?

Answers

Answer: $9100

Step-by-step explanation:

Since the local realtor will get a commission of 5% whenever the house is sold, then the amount they the realtor will be paid when the house is old for $182000 will be calculated thus:

= 5% × $182000

= 5/100 × $182000

= 0.05 × $182000

= $9100

The realtor will be paid $9100.

Is The slope of a line perpendicular to y = 2x + 1 is -2.
d

Answers

Answer:

-1/2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals

the negative reciprocal of 2 is -1/2

At a school camp there is enough foot for 150 students for 5 days.
Q: How long would the food last if there were only 100 students?

Answers

Answer:

Step-by-step explanation:

you need to find how much food is used for 1 person then times that answer by 100 to find how much food is needed

Lula budgeted $45 per day for food costs. If these are costs for the two
meals she had today, how much does she have left for dinner?
Breakfast
$7.98
Lunch
$13.95
Dinner
?
A. $17.89
B. $23.07
C. $25.32
D. $14.56

Answers

Answer: 23.07$ (Option B)

Step-by-step explanation:

Lula's Budget per day = 45%

Cost spent on two meals = breakfast + lunch

                                          = 21.93$

How much does Lula has for dinner = 45$ - 21.93$

                                                            =  23.07$

In most acceptance sampling plans, when a lot is rejected, the entire lot is inspected and all defective items are replaced. When using this technique the AOQ: worsens (AOQ becomes a larger fraction). improves (AOQ becomes a smaller fraction). is not affected, but the AQL is improved. is not affected. falls to zero.

Answers

Answer:

When using this technique, the AOQ:

improves (AOQ becomes a smaller fraction).

Step-by-step explanation:

AOQ simply means Average Outgoing Quality, which improves with inspection.  It is a part of an organization's Acceptance Sampling Plan, usually designed to meet product quality and risk level targets.  The plan draws samples from a population of items.  Then it tests the samples.  It only accepts the entire population if the sample is considered good enough.  It also rejects the population when the sample is poor enough.  In the plan, information about sample size and critical acceptance or rejection numbers are clearly indicated.  Acceptance sampling is common in most business environments because it has been found to be more economical than doing 100% inspection of incoming production input and output.

Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = (1 + 8x)^(1/2) (g(x), f(u)) = (1 + 7x, u^1/3)Find the derivative dy/dx. dy/dx = _______.

Answers

By the chain rule, you have

dy/dx = dy/du * du/dx

For the function y = f(x) = (1 + 8x)^(1/2), you're taking

y = u ^(1/2)

u = 1 + 8x

These have derivatives

dy/du = 1/2 u ^(-1/2)

du/dx = 8

which means

dy/dx = 4u ^(-1/2) = 4 (1 + 8x)^(-1/2)

qual é a raiz quadrada de 84

Answers

9.16515138991 es la raíz cuadrada

The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us?​

Answers

Answer:

70 + 301 = 371

Step-by-step explanation:

This equation tells the gym

two multiplied by some number is 1 over 2. what is the answer

Answers

Answer:

2 over 4

Step-by-step explanation:

The answer would be 2/4 hope that helps

what do you call the middle value in the set of the data or quantities a mean b. median c.mode d.range​

Answers

Answer:

median is the middle value

mean is the average

mode is the one that occurs most

range is the highest number - lowest number

The government claims that the average age of Texans is 38 years. Blake hypothesizes that the average age of the population of Texas is not equal to 38 years. Blake records a sample mean equal to 41 and states the hypothesis as u = 38 vs u 38.
Select the best description for this type of test.
a.) Right-tailed test
b.) Two-tailed test thing
c.) Left-tailed test
d.) Upper-tailed test

Answers

Answer:

b.) Two-tailed test

Step-by-step explanation:

Blake hypothesizes that the average age of the population of Texas is not equal to 38 years.

This means that at the alternative hypothesis, we test if the average is different of 38, that is:

[tex]H_1: \mu \neq 38[/tex]

When the test at the alternative hypothesis is of difference, we have a two-tailed test, and thus the answer is given by option b.

Answer:

Two-tailed test

Step-by-step explanation:

Got it right on the test.

three-fifths of a number increased by ten

Answers

Answer: [tex]\frac{3}{5} x+10[/tex]

Step-by-step explanation:

three-fifths of a number means multiply three-fifths by a variable [tex]\frac{3}{5} x[/tex]

increased by 10 means addition +10

together it is [tex]\frac{3}{5}x +10[/tex]

Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$ per comic?

Answers

Answer:

$0.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:


Determine the equation of the circle shown in the graph.

Answers

Answer:

B.

Step-by-step explanation:

The equation of a circle with center at (h, k) and radius r is

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

We have center at (-5, 0). That makes h = -5, and k = 0.

The radius is 3, so r = 3.

[tex] (x - (-5))^2 + (y - 0)^2 = 3^2 [/tex]

[tex] (x + 5)^2 + y^2 = 9 [/tex]

Answer: B.

Answer:

B

Step-by-step explanation:

The equation of a circle has the form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center of the circle and r is the radius.

From the graph, we can see that the center of the circle is at (-5, 0). So, (h, k) is (-5, 0), where h = -5 and k = 0.

And by counting, we can determine that the radius of the circle is three units. Hence, r = 3.

Substitute the information into the equation:

[tex](x-(-5))^2+(y-(0))^2=(3)^2[/tex]

Simplify. Therefore, our equation is:

[tex](x+5)^2+y^2=9[/tex]

Our answer is B.

A.85
B.98
C.102
D.34

Answers

Answer:

C. 102

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

Determine the validity of each the following arguments. If the argument is one of those listed in the text, name it.

a. She uses e-commerce or she pays by credit card.
b. She does not pay by credit card.
c. She uses e-commerce

Answers

Answer:

Step-by-step explanation:

We will design a truth table to determine the validity of the provided arguments.

As a result, we have the following presumption:

Assume "p" stands for "she shops online(e-commerce)" and "q" stands for "she pays with a credit card."Also, she utilizes e-commerce or pays with a credit card, resulting in "p Vs q".She doesn't pay with a credit card, therefore -commerce becomes "™q → p".

Now;

p            q             ™q             p Vs q              ™q →p

T            T              F                 T                         T

T            F              T                 T                         T

F            T              F                 T                         T

F            F              T                 F                         F

Conclusion:

The given arguments are valid.

Other Questions
Which of the following is an example of the geographic concept of space?O West Africa is a geographic region on the continent of Africa.In New York City, subway stops are placed five blocks apartChloe lives in a suburb west of Houston, Texas.Each province or territory of Canada has a capital city.The country of Kazakhstan is south of Russia. President Polk believed that America had the right and duty to spread __________ across the continent.A) peaceB) republican idealsC) democracy Patricia is in charge of the food and has a total budget of $125. She orders 30 sandwiches at $3 per sandwich. Patricia would like to spend the rest of the money on jumbo bags of chips that cost $5 per bag of chips. Which equation would you use to figure out how many bags of potato chips she can buy? Identify each statement that is both biconditional and true. Nitrogen in plants and soil is changed into nitrogen compounds by _____ ? help---------------------------- I need helpppppp cause Ill make ur bra list of however u spell it what is the difference between acceleration due to gravity and gravitational force? How did the Cold War affect U.S. foreign policy?A. The country became more isolationist.B. The country followed a policy of interventionism.C. The country refused to participate in international conflicts.D. The country left all international organizations. First,i would rewrite 3/4 as an equivalent fraction with a denominator of ____The equivalent fraction is ____ Then, I would compare the equivalent fraction to 7/12\PLEASE TELL ME THE ANSWERS IN THE BLANKS!!! Solve for x:4x + 1 = 7x - 5 Read the following excerpt from "The Significance of the Frontier in AmericanHistory":Behind institutions, behind constitutional forms andmodifications, lie the vital forces that call these organs intolife and shape them to meet changing conditions.What literary device is Turner using here?A. AnaphoraB. AlliterationC. MetaphorD. Simile hi, last thing !! awarding 30 points here !! answer asap thank you so much !! Factorx^2 + x - 6, asappp She dedicates herself to her work,...? A.doestn't B. Won't she c. Didn't she D. Isn't she PLS HELP ASAP.!THANK YOU, WILL MARK BRAINLIEST A cell with 12 chromosomes undergoes mitosis. How many daughter cells arecreated?each daughter cell has chromosomes. Complete each sentence with the correct word or phrasea. An action potential reaches the axon terminal causing __________to open. b. Acetylcholine diffuses across the synaptic cleft before binding to its receptor, which is located on the _____c. When the membrane potential reaches ________an action potential spreads across the sarcolemma due to the opening of ___________d. In response to acetylcholine binding, ________ move into the muscle fiber causing the membrane potential to rise. Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no How are bacteria and archaea similar?