A recipe uses 150g butter, 500g sugar, and 100g currants to make 18 small cakes?
a. how many of each ingredient will be needed to make 6 dozen cakes
b. how many whole cakes could be made with 1kg of butter

Answers

Answer 1

Answer:

a. The following will be needed to make 6 dozen cakes:

Number of grams of butter needed = 600g

Number of grams of sugar needed = 2,000g

Number of grams of currants needed = 400g

b. The number whole that cakes could be made with 1kg of butter is still 18 whole cakes.

Step-by-step explanation:

a. how many of each ingredient will be needed to make 6 dozen cakes

This can be calculated as follows:

One dozen = 12

Number of small cakes in 6 dozen cakes = 6 * 12 = 72 small cakes

Number of 18 small cakes that can be obtained from 72 small cakes = 72 / 18 = 4

Therefore, we multiply each ingredient by 4 to obtain the number oof each ingredient that will be needed to make 6 dozen cakes as follows:

Number of grams of butter needed = 150 * 4 = 600g

Number of grams of sugar needed = 500 * 4 = 2,000g

Number of grams of currants needed = 100 * 4 = 400g

b. how many whole cakes could be made with 1kg of butter

Ordinary in terms of measurement, we have:

1kg = 1,000g

Since it is not indicated in the question that additional grams of other ingredients are made available, only 150g butter will be used out of the 1,000g butter made available together with already available 500g sugar and 100g currants to make just 18 cakes. This implies that no additional whole cakes will be made to add to the current 18 small cakes that is being made. Additional whole cakes would only be made when additional grants of sugar and currants are made available.

Therefore, the number whole that cakes could be made with 1kg of butter is still 18 small cakes.


Related Questions

Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative

Answers

Answer:

I think that it is negative

Step-by-step explanation:

Please help I’ll number 12!

Answers

Answer: y = -3/4x - 0.75

Step-by-step explanation:

The slope needs to be negative so that it's perpendicular to

y = 3/4x - 1

The equation then looks like this

y = -3/4x

We can get an exact y intercept number by using the cordinates

Lets input cordinates (3,-3)

-3 = -3/4(3)

-3 = -2.25 - 75 ( I inferenced )

-3 = -3

now that we got the y intercept lets put it all together

y = -3/4x - 0.75

A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.

Answers

Answer:

unit price for 11.3-ounce package = $0.25

unit price for 27.8-ounce package =  $0.23

27.8-ounce package is the better buy

Step-by-step explanation:

An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.

a) 11.3-ounce package

11.3 ounces = $2.88

1 ounce = $2.88 ÷ 11.3

1 ounce = $0.25

b) 27.8-ounce package

27.8 ounces = $6.48

1 ounce = $6.48 ÷ 27.8

1 ounce = $0.23

$0.25 > $0.23

How many lines of symmetry does this figure have?
[Note: The black ball is part of the figure.]
A) 0
B) 1
C) 5
D) 10

Answers

Answer:

The answer is B) 1

Step-by-step explanation:

balls

the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did the store sell in total

Answers

Answer:

63

Step-by-step explanation:

Answer:

Step-by-step explanation:so did u pass the edulastic test

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Answers

Answer:  60

Step-by-step explanation:

Solve the system of equations by any method.



5x+9y =16
x+2y =4

Answers

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]

Therefore, our system now becomes:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]

Now, we can add these two equations together and solve for y.

[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]

Now, we can substitute our value for y into one of the equations and solve for x.

[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]

Therefore, our final solution is (-4, 4).

A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Which equation best represents the amount spent, y, on x hours of music. *
13 points
Captionless Image
y = 0.5x
y = 0.5x + 100
y = 25x + 100
y = 100x + 25

Answers

Answer:

Its c i did it for quizzez and also because the graph goes up 25 every hour

Step-by-step explanation:

The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A DJ charges a setup fee plus an hourly fee to provide music for a dance party.

We know that the amount per hour is generally one-fourth of the number of setup feet. Let 'x' be the number of hours and 'y' be the total amount. Then the equation is given as,

y = 25x + 100

The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ6

The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?

Answers

Answer:

Step-by-step explanation:Let our two numbers be  a  and  b . Then we can see that  a+b=8  and  ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3  by the binomial expansion. Now we have all the information to solve this, observe since  a+b=8  and  ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3  

a3+b3+3ab(a)+3ab(b)=83  

a3+b3+3ab(a+b)=83  

a3+b3=83−3ab(a+b)  

a3+b3=83−3(15)(8)=512−360=152  

You can also observe that  3  and  5  fulfill those conditions so, then  33+53=27+125=152 . Which is our result.

Read the sentence from Nikita's analysis of "The Children of the Drug Wars." Nazario feels that refugee kids totally shouldn't be sent back to the same dangerous things they've left. This sentence should be revised to make it more accurate. formal. logical. objective.

Answers

Answer:

The answer is B formal

Answer:

B on edge 2021

Step-by-step explanation:

I suck at math so can you help with this is a test so Yh

Answers

The correct answer is option D:)

2y/5-y/4=-3 what is the common denominator

Answers

Answer:

20

Step-by-step explanation:

Find the percent as a fraction. Simplify if possible.

33 1/3%

Answers

Answer:

The answer would be 100/3

Step-by-step explanation:

Answer: 33 1/3% as a fraction is 1/3. It cannot be simplified. Hope this helps!

There is 2 parts. but , help​

Answers

Answer: B

Step-by-step explanation:

what ratio is equavelent to 5:4

Answers

Answer:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Step-by-step explanation:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 32?

Answers

Yep nice one for you guys it’s ok i love

Answer:

g(x)=m(x−2)+b+3

Equa
Problem 1
3z - 4 = 52 - 12

Answers

Answer:

z=44/3

Step-by-step

Subtract the numbers 52-12=40

3z-4=40

Add 4 to both sides

3z-4+4=40+4

SImplify

3z=44

Divide both sides by 3

3z/3 = 44/3

z=44/3 or decimal form= 14.66

Enter the range of values for x:​

Answers

Answer:

¿¿¿???

Step-by-step explanation:

first what is the question no only x = i didn´t see your computer

Answer:

yeah i don't see anything

Step-by-step explanation:

What is the equation for the line that passes through (3, 2) and has a slope
equal to 12
3

Answers

Answer:

Step-by-step explanation:

Remark

I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4

If that is the case then what you have so far is

Solution

y = 4x + b

The given point determines b

Givens

x = 3

y  = 2

Given point

2 = 4*3 + b

2 = 12 + b

b = 2 - 12

b = -10

The equation is y = 4x - 10

Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt

Answers

Answer:

42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest

Step-by-step explanation:

An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers

Answers

Answer:

the y co-ordinate > 9

Step-by-step explanation:

I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!

Hope this helps!

What is 2 1/2 feet to inches?

Actual question:
1 foot=12 inches
2 1/2 feet= blank inches


IREADY!!
thanks :)

Answers

Answer: 30 inches

Explanation: since there is 2 feet you do 12x2. This gives you 24. Then since there is a half foot and a half foot is equal to 6 inches you add that to your 2 feet (24 inches) to get 2 1/2 feet or 30 inches. Hope this helps have a nice day!!!

What is 12 equivalent tp

Answers

12 is equivalent to 24/2, 36/3, 144/12

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Answers

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Anthony is laying concrete for a driveway. The driveway is to be 24 feet long by 11 feet wide by 8 inches deep. Answer parts (a) through (c)

(a) Determine the volume of concrete needed in cubic feet.

(b) If 1 cubic yard = 27 cubic feet, how many cubic yards of concrete are needed?

(c) If the concrete costs $36 per cubic yard, what is the cost of the concrete? Concrete must be purchased in whole cubic yards​

Answers

Answer:

a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.

Step-by-step explanation:

a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.

b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.

c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.

Six plus five times a number is more than the
number plus eight. Write an inequality and
solve it.

Answers

Answer:

x > 0.5

Step-by-step explanation:

Let the number be x.

6 + 5x > x + 8

4x > 2

x > 0.5

This is a question on inequalities. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

An insurance company has written 100 policies for $75,000, 500 policies for $25,000, and 1000 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0015, how much can the company expect to pay out during the year the policies were written? The company can expect to pay out _____ $ over the year after the policies were written.

Answers

Answer:

The company can expect to pay out $45,000 over the year after the policies were written.

Step-by-step explanation:

This can be determined as follows:

The probability that a person will die at age 20 = 0.0015

Revenue from 100 policies = 100 * $75,000 = $7,500,000

Revenue from 500 policies = 500 * $25,000 = $12,500,000

Revenue from 1000 policies = 1000 * $10,000 = $10,000,000

Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000

Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000

Therefore, the company can expect to pay out $45,000 over the year after the policies were written.

8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?

Answers

Answer:

14

Step-by-step explanation:

i got it right and you can tell that they are almost the same size.

How do you do this question?

Answers

Answer:

-1

Step-by-step explanation:

dy/dt = y² − 1 = (y + 1) (y − 1)

At t = 0, y = 0, and dy/dt = -1.  Therefore, y is initially decreasing.

As y decreases, dy/dt increases.  When y = -1, dy/dt = 0 and changes signs from negative to positive.

As y increases above -1, dy/dt again becomes negative.  So y continues to approach -1 as t approaches infinity.

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