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.
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
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
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
Answer:
The answer is B) 1
Step-by-step explanation:
balls
Equa
Problem 1
3z - 4 = 52 - 12
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
What is the equation for the line that passes through (3, 2) and has a slope
equal to 12
3
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
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
Answer:
63
Step-by-step explanation:
Answer:
Step-by-step explanation:so did u pass the edulastic test
What is 12 equivalent tp
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?
Answer:
g(x)=m(x−2)+b+3
Find the percent as a fraction. Simplify if possible.
33 1/3%
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!
How do you do this question?
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.
Solve the system of equations by any method.
5x+9y =16
x+2y =4
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).
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
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 :)
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.
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.
The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?
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.
Answer:
The answer is B formal
Answer:
B on edge 2021
Step-by-step explanation:
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?
Answer:
14
Step-by-step explanation:
i got it right and you can tell that they are almost the same size.
∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.
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°
2y/5-y/4=-3 what is the common denominator
Answer:
20
Step-by-step explanation:
Please help me with this as soon as you can. I have no idea how to do it so please help me.
Answer: 60
Step-by-step explanation:
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.
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
Please help I’ll number 12!
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
what ratio is equavelent to 5:4
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.
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
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.
the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false
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!
Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative
Answer:
I think that it is negative
Step-by-step explanation:
Six plus five times a number is more than the
number plus eight. Write an inequality and
solve it.
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 :)
Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt
Answer:
42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest
Step-by-step explanation:
Enter the range of values for x:
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:
I suck at math so can you help with this is a test so Yh
There is 2 parts. but , help
Answer: B
Step-by-step explanation: