A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1/8 half gallon=0.125 half gallon. How many cakes can the bakery make?

Answers

Answer 1

Answer:

The total cake make in the bakery ≅ 346 cakes

Step-by-step explanation:

Given that:

A bakery has 72 half gallons of milk

It takes [tex]1\dfrac{2}{3}[/tex] cups of milk to make the cake ;

i.e. [tex]\dfrac{5}{3}[/tex] cups of milk to make the cake after we converted the mixed fraction to an improper fraction.

Also,1 cup =  [tex]\dfrac{1}{8}[/tex] half gallons = 0.125 half gallons

Thus, the amount of milk required to make the cake = [tex]\dfrac{1}{8} \times \dfrac{5}{3}[/tex]

[tex]= 0.125 \times \dfrac{5}{3}[/tex]

= 0.208

The total cake make in the bakery = [tex]\dfrac{72}{0.208}[/tex]

The total cake make in the bakery = 346.15

The total cake make in the bakery ≅ 346 cakes


Related Questions

what the slope of(12,7) (5,9) ​

Answers

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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]

[tex]slope = \frac{2}{ - 7} \\ [/tex]

[tex]slope = - \frac{2}{7} \\ [/tex]

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Answer:

[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Where (x₁,y₁) and (x₂,y₂) are the points on the line.

We are given the points (12,7) and (5,9). Therefore:

[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m=\frac{9-7}{5-12}[/tex]

Solve the numerator.

Subtract 7 from 9 9-7=2

[tex]m=\frac{2}{5-12}[/tex]

Solve the denominator.

Subtract 12 from 5 5-12= -7

[tex]m=\frac{2}{-7}[/tex]

This fraction cannot be reduced further, so it is the answer.

The slope of the line is -2/7


Line t has an equation of y = -1/2 x + 7. Line u is parallel to line t and passes through
(4, -6). What is the equation of line u?

Answers

Answer:

y = -1/2x - 4

Step-by-step explanation:

Let equation of line u be y = mx + c

since line t and line u are parallel, slope/gradient of both lines are the same (aka m = -1/2)

sub (4, -6):

-6 = -1/2(4) + c

c = -4

therefore, equation of line u is y = -1/2x - 4

This is a question on coordinate geometry. 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 :)

please help i’m so close to being done :(

Answers

Answer:39 i dont im 12 ps out

Step-by-step explanation:

6 to the power 4 simplified

Answers

Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

Can someone help plz? Jack and Jessica earned the same amount last week. Jack earned $18 per hour and had $41 taken from his check for taxes LaTeX: (18x-41)( 18 x − 41 ). Jessica earned $15 per hour and had $17 deducted from her pay. How many hours did each work in order to get paid the same amount?


Write the equation


Solve for the number of hours

Answers

Answer:

the answer is 8

Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours

If f(x) = 5x - 12, find f(x) when x= - 12

Plz answer

Answers

Answer:

-72

Step-by-step explanation:

first replace x with -12 so 5(-12)-12

then simplify which makes it -60-12

finally solve that which gives you -72

hope this helps :)

Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

How do I solve this equation and check the solutions?

Answers

[tex]x = - 10 \\ [/tex]

[tex]x = 2[/tex]

Step-by-step explanation:

[tex] \sqrt{20 - 8x} = \times [/tex]

[tex]20 - 8x = {x}^{2} [/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex]x = - 10[/tex]

[tex]x = 2[/tex]

20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an​ accident, police can use the formula v=25L to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answers

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.

10

44:25

The monthly mean salaries and standard deviations of four college students are given below.

Standard Deviation

12.53

Student

Clarissa

Abi

Kaila

Shenika

Mean

$345

$598

$812

$208

8.99

15.29

7.67

Which statement must be true?

O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa,

O The monthly salary of Kaila is less spread out than the monthly salary of Abi.

O The monthly salary of Abi is less spread out than the monthly salary of Shenika.

O The monthly salary of Clarissa is less spread out than the monthly salary of Abi.

Save and Exit

Next

Submit

Mark this and return

Answers

Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

Standard deviation measures the spread around the mean of the different variables.

Shenika's monthly salary has a standard deviation of 7.67 while Clarissa has a standard deviation of 12.53. This means that Shenika's monthly salary is less spread out than the monthly salary of Clarissa.

What is the solution to the system of linear equations graphed below?

On a coordinate plane, 2 lines intersect at (3.5, negative 4).
(3 and one-half, negative 4)
(Negative 4, 3 and one-half)
(0, 3)
(0, negative 4)

Answers

Answer: The answer was A,

(3 1/2 , -4 )

For people who are taking the test on edge.

Step-by-step explanation:

Answer:

A is the correct answer

can someone help me ASAP please​

Answers

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

what is value of this expression below when y=3
8y^2-y-8

Answers

Plug in 3 for y
8(3)^2-(3)-8
8(9)-3-8
72-3-8 = 61

Answer:

61

Step-by-step explanation:

8x3^2 -3-8

8x9-3-8

72-3-8

72-11

61

What is the value of when x=15

Answers

Answer:

Value of what?

Step-by-step explanation:

Put your question DB and I'll answer!

Answer:

x = 15

Step-by-step explanation:

x = 15 means that if you have 1 + x and plug in the 15 for x, 1 + 15 you will get 16.

Note: I'm not quite sure what the question is on this one, but I hope I could help.

what is the highest common factor of 10,18 ,20 and 36​

Answers

Answer:

2

Step-by-step explanation:

Factors of 10: 1 , 2 , 5 , 10Factors of 18: 1 , 2 , 3 , 6 , 9 , 18Factors of 20: 1 , 2 , 4 , 5 , 10 , 20Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12

The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF

Hope this helps

The HCF is 2.

What is HCF?

The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.

For example, 2 is the HCF of 4 and 6.

Given numbers:

10,18 ,20 and 36​

Now splitting the factors of each number we have

10=2*5

18=2*3*3

20=2*2*5

36=2*2*3*3

Hence, the Highest common factor is 2.

Learn more about HCF here:

https://brainly.com/question/28574719

#SPJ2

can anyone help with math thanks

Answers

Answer:

Step-by-step explanation:

50 - 5 - 18 = 27

27 ÷ 3 = 9

x = 9

Hey, can someone help me with my math homework?

Answers

What’s the questions

Convert 21.3 feet per minute to yards per minute.

Answers

Answer:

7.1 yard per min

Step-by-step explanation:

ASAP what is the x and y intercept for −4x+7y=3

Answers

Answer:

x - (-3/4,0)

y - (0, 3/7)

Step-by-step explanation:

Enter the first four terms.

Answers

Answer:

7, 4, 1, and -2.

Step-by-step explanation:

Our recursive rule is:

[tex]f(1)=7\!, f(n)=f(n-1)-3[/tex]

Where n is the nth term.

So, our first term will be f(1). As defined, this is 7.

Our second term will be f(2). We will use the recursive formula. Substituting 2 for n yields:

[tex]f(2)=f(2-1)-3[/tex]

Subtract:

[tex]f(2)=f(1)-3[/tex]

We know that f(1) is 7. Substitute:

[tex]f(2)=7-3=4[/tex]

Hence, the second term is 4.

We will do the same thing for the third term. Substitute 3 for n:

[tex]f(3)=f(3-1)-3[/tex]

Subtracting yields:

[tex]f(3)=f(2)-3[/tex]

We know that f(2) is 4. So:

[tex]f(3)=4-3=1[/tex]

Hence, the third term is 1.

Finally, we will do the same thing. Substitute 4 for n to find the fourth term:

[tex]\begin{aligned} f(4)&=f(4-1)-3 \\ f(4)&=f(3)-3 \\ f(4)&=1-3 \\ f(4)&=-2\end{aligned}[/tex]

Hence, the fourth term is -2.

Therefore, our first four terms are 7, 4, 1, and -2.

PLEASE THESE 2 HELPPPPPPPPPPPP

Answers

Answer:

c and g

Step-by-step explanation:

Evaluate p2 - r2 for p = 10, r = -4 and t = 5.

Answers

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

What is the domain and range please?

Answers

Answer:

domain is the max and min x values

range is the max and min y values

Step-by-step explanation:

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.

Determine the number of solutions to each system of equations.

Please put all of the equations in either One Solution, No Solution, or Infinitely Many Solution boxes
DUE TONIGHT

Answers

Answer:

One Solution:

y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1

No Solution:

y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3

Infinity many solutions:

y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5

Step-by-step explanation:

We will see the system of equations one by one.

First system of Equation:

[tex]y = 0.5x-2\\y=-0.5x+4[/tex]

It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution

Second System of Equation:

[tex]y=0.5x+5\\y=0.5x+1[/tex]

This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.

Third System of Equations:

[tex]y =2x+1\\y = -4x+1[/tex]

The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.

Fourth System of Equations:

[tex]y=3x+2.5\\y=3x+2.5[/tex]

The lines formed by these lines will overlap each other so there will be infinity many solutions.

Fifth System of Equations:

[tex]y=-x-3\\y=-x+3[/tex]

These equations represent parallel lines so there will be no solution.

Sixth System of Solution:

[tex]y=-x-2\\y=-x-2\\[/tex]

The system will have infinite number of solutions

Hence,

One Solution:

y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1

No Solution:

y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3

Infinity many solutions:

y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5

Answer:

the first answer is correct

Step-by-step explanation:

[BRAINLIEST] To manufacture an automobile requires​ painting, drying, and polishing. Epsilon Motor Company produces three types of​ cars, the​ Delta, the​ Beta, and the Sigma. Each Delta requires hours for​ painting, hours for​ drying, and hours for polishing. A Beta requires hours for​ painting, hours for​ drying, and hours for​ polishing, and a Sigma requires hours for​ painting, for​ drying, and for polishing. If the company has hours for​ painting, hours for​ drying, and hours for polishing per​ month, how many of each type of car are​ produced?

Answers

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Coughlin gave the cashier $20, how much change will she receive?

Answers

She will receive $4.94
2.25x4.96=$11.16
.75x5.20=$3.90
11.16+3.90=15.06
20-15.06=4.94
Answer:  $4.94

=====================================================

Work Shown:

She paid 2.25*4.96 = 11.16 for the turkey

She paid 0.75*5.20 = 3.90 for the cheese

In total, the two amounts add to 11.16+3.90 = 15.06

The amount of change she'll get is 20 - 15.06 = 4.94 dollars

To calculate change quickly in your head, notice how the jump from 6 cents to 100 cents is 100-6 = 94 cents. So that moves us from $15.06 to $16, and the rest needed is $4. So that's how we get the overall change to be $4.94.

Solve for x and y by elimination 3x+y=-1

Answers

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

SOmeone SMART HELP ME OMG

Answers

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

Kim ate 50% of candies in the bag. If Kim ate 35 candies , how many candies were total in the bag?

Answers

Answer:

70 candies

Step-by-step explanation:

35 x 2 = 70

Check:

70/2 = 35

Part 1: If we double each side of the second equation, 2x+y=8 we have 4x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.
Part 2: If we add the two equations in the original system, we have 6x+7y=32. Explain why the same (x, y) pair is also a solution to this equation
PLEASE ANSWER FAST

Answers

Answer:

Step-by-step explanation:

its the same because when you simplify it the equation is the same

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